Numerus Mysticorum

The Divine Origin of the Fine Structure Constant

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It is the perfection of God’s works that they are all donewith the greatest simplicity. He is the God of order andnot of confusion.

Isaac Newton

There are two ways to live your life - one is as thoughnothing is a miracle, the other is as though everythingis a miracle.

Albert Einstein

Contents

Præfatio Numerus Mysticorum i

CXXXVII (137) 1

Alpha Effectum in Homine 4

Alpha Mane 7

Alpha Meridiem 10

Luke XV: i-vii 13

Consiliarius Professionem 14

Appendix A – Surreal Clock 15

Appendix B – The Golden Ratio 17

Appendix C – Hash Codes 18

i

Præfatio Numerus Mysticorum

I.

In the Proceedings of the London Mathematical Society v. 42 (1936), page250, Alan Turing published, On Computable Numbers, With an Applicationto the Entscheidungsproblem, an argument which was, amongst other things,apparently supposed to ‘prove’ that human mental procedures cannot su-percede mechanical computational procedures. Near the beginning of thepaper, Turing states, “We may compare a man in the process of computinga real number to a machine which is only capable of a finite number of con-ditions q1, q2, . . . , qR which will be called m-configurations.”

Turing used comprehensible logic, quite brilliantly, to show that finite-statemachines will never finish computing certain problems. That is the so-calledhalting problem, ‘Entscheidungsproblem’ in German, as it was referred toby David Hilbert. This work is outstanding and incontroversial. There isbut one ‘problem’ in the paper as it stands – the assertion that a humanbeing is a finite-state machine; that is mistaken, and amounts to nesting atrue premise, that ‘a finite mind is capable of only a finite number of distin-guishable states’, within the transparent shell of a false one, that the former‘applies to humans’. His provocative assertion poses a challenge, includedwithin his paper to spur others on, towards a deeper understanding of whathumans actually are. Turing published this most human question within anunforgiving avenue of discourse; this base conception of what humans mightbe thus became paired with his identity through the tyranny of quotation.

Over the decades, Turing’s assertion has rolled along a tightrope – disasterfor it lay on either side. On the right side, a swift annihilation of his asser-tion by quantum physics lay in wait. In fact, his argument, only insofar asit concerns humans, disintegrates into baselessness when one considers thephysical ‘brain state’ premise in any more depth than he did. By consideringone result of quantum mechanics – that the universe has no zero – we will beable to see the delusion encapsulating the true premise more clearly: God’screation is not misleading, nor is it a lie or illusion. Does Wisdom begetignorance? Only in that it be ignorance! And on the left side, lay the fullexperience of our being. Now for just a little nudge.

ii

Within the Numerus Mysticorum, the reader will explore the right and leftsides of Turing’s assertion, and will, hopefully, get comfortable with eachterrain; Along our journey, a very bright, beautiful sunrise shall occur withinthe soul of the reader. And that day!

We begin this journey by considering nothing; nothing as it exists. And that‘nothing’ is what we find in nature; we call it the quantum vacuum. Thestructure of the quantum vacuum is infinitely deep and complex; yes, theinfinitesimal is infinitely-rich – literally – an infinity of detail, rather thanthe outbound infinity of extent that Turing was considering, in referring tothe human mind as finite. This inward infinity is undeniably, and withoutcontroversy, the substrate upon which the physical dual of mind is built andoperates, bathing even our neurons en masse.

The uncertainty principle of quantum mechanics, first recognized by the greatphysicist Werner Heisenberg, revolutionized human understanding of the vac-uum. We no longer think of the vacuum as just pure emptiness. If there areno particles in a box, and it is completely empty of all mass and energy,then we would have a violation of the uncertainty principle, because in sucha case we would possess complete information about both the motion andenergy of the system at every spacetime point. To put the principle in simpleterms – to acquire information requires interaction, thereby destroying theoriginal state of the object in some dual respect. It is impossible to violatethe uncertainty principle.

As physicists learned more about the quantum world, they found that themost striking prediction made by the uncertainty principle was the existenceof something known as the zero-point energy. Concerning the impact ofquantization on oscillating systems, it became apparent that there was al-ways a basic irreducible, nonremovable energy present. Such systems wouldnot permit all their energy to be extracted by any process governed by theknown laws of physics. In the case of the oscillator, the zero level was equalto hf/2, the quantum of energy by half. This limit expresses the reality ofthe uncertainty principle in that if we know the location of a particle oscilla-tor then its motion, and hence the energy transferred, will be uncertain, andthat amount is the zero-point motion.

This discovery means that the human conception of the vacuum must berevised. It is no longer to be associated with the idea of the void and ofnothingness or empty space. Rather, it is merely the emptiest possible statein the sense that it possesses the lowest possible energy: no further energycan be removed. We call this the ground state or the vacuum state.

iii

It is possible for there to be many dfferent minimum energy states, and hencedifferent vacua, in a given system of matter. One might find that confusing,but what that says is that the nature of the vacuum left behind, after theremoval of ordinary matter, is dependent upon the kind of ordinary matterthat was initially present.

It is important to have a direct probe of the quantum vacuum’s existence.The simplest way to do this was suggested by the Dutch physicist HendrikCasimir in 1948 and has been known ever since as the Casimir Effect.

Casimir wanted to engineer a way for the sea of zero-point fluctuations tomanifest themselves in an experiment. He came up with a simple way todo this – to place two parallel, electrically conducting metal plates in thequantum vacuum. Ideally, the experiment should be performed at absolutezero temperature (or at least as close to it as it is possible to achieve). Theexperiment is set up to nullify the effects of any black-body radiation thatcould fall on the plates.

We can think of the vacuum as a sea of zero-point waves of all wavelengths.But the addition of the plates to the vacuum affects the distribution of thezero-point waves. Only the effects of particular waves will be felt between theplates. These are waves which can fit in a near-whole number of undulationsbetween the plates. The wave has to have a near-zero amplitude at one plateand the same at the other plate. This should be thought about in terms ofconstructive versus destructive interference – in-phase waves amplify effects,but out-of-phase waves cancel effects. A wave may be in-phase or out-of-phase with itself when boundary conditions are applied – conditions such asthe wave having to fit between two plates, which imposes a requirement thatthe amplitude be near zero at the location of the plate such that the wave isnot very much out-of-phase with itself.

A consequence of this is that those zero-point waves which do not fit in anear-whole number of wavelengths between the plates nullify their own ef-fects, but there is nothing dampening their effects in the region of spaceoutside of the plates. This means that there must be more (non-cancelled)zero-point fluctuations outside the plates than between them. Therefore theplates, in effect, get hit by more waves on their outside than they do on theinside-facing surfaces. The plates are thus pushed towards one another.

iv

Now, if we are to truly understand this effect, it is crucial to realize thatthe boundary of the plate is also uncertain. If we move a plate, shorter-wavelength fluctuations are thus more and more likely to still fit than longer-wavelength fluctuations are. Thus, the longer-wavelength (larger zero-point)fluctuations will be preferentially excluded as the plates move closer, whichmeans fewer and fewer wavelengths fit – more and more of them cancel.So as the plates move closer, the net force on the plates, the strength of theCasimir effect, increases. And we have an equation to calculate this pressure.

The magnitude of the pressure (force per unit area) pushing the plates to-gether is πhc/480d4, where d is the distance between the plates, c is the speedof light, and h is Planck’s constant. This is called the Casimir Effect. It is asubtle effect. If the plates are separated by one half of one thousandth of amillimeter, then the attractive pressure will be the same as that created bythe weight of a fifth of a milligram sitting on your finger tip, similar to thatof a fly’s wing [cf. Barrows, The Book of Nothing ].

So, the flaw in Turing’s assertion is akin to claiming that since the differencebetween consecutive integers is finite, there cannot possibly be an infinitenumber of numbers in between them. But there is infinitely more internal toMan than Turing’s assertion allowed in. The existence of this infinitely-richvacuum annihilates the hypothesis that Man can be classified as a finite-statesystem. Now to address the question as to whether Man is a machine.

Classical materialists may argue that the physical nature of the brain pre-cludes free will – free will is just an illusion, and therefore man is mechan-ical. If true, this would lend partial credibility to Turing’s assertion. Butdoes equating a human to a physical object necessarily equate the mind toa classical deterministic computer? People are unpredictable for the mostpart, from moment to moment, but they do have typical behaviors, like per-sonalities. The physical universe is quite like that from core to skin.

In the discipline of quantum mechanics, it has long been recognized that innature there are deterministic patterns of behavior, which is why quantummechanics textbooks can even have equations within them in the first place,but indeterministic behavior in particular. This aspect of nature is morewidely misunderstood than any other. There is no such thing as a ‘randomevent’ in nature! Particular events in spacetime are not ‘random’, not evenin the strictest mathematical sense of the word. All events are particular. It

v

is the results of measurements upon ensembles of particles or repeated mea-surements on a single particle that can be described using statistics, meaningonly that the collection of measurements fulfill some variety of statistical dis-tribution. Statistics in and of itself has zero explanatory power, but does haveraw descriptive power, of which only the most superficial conclusions can belegitimately derived. And by the maxim ‘events are not random’, it is notmeant that the events are necessarily deterministic in any way. Note: becareful not to confuse the meaning of the word ‘deterministic’ with that of‘determinate’. By ‘deterministic’ is meant ‘acting in a predetermined way’,while by ‘determinate’ is meant ‘in a completely-defined state’.

In quantum mechanics, as you will see, we often determine things such asthe ‘probability that an electron is measured to be in a certain region ofspace.’ This probability does not describe a random event. This probabilitydescribes the outcomes of sets of events. Before measurement, quantum ob-jects are indeterminate, meaning that they actually have no definite state.It is measurement by an observer that causes a quantum object to collapseinto a determinate state. Let’s explore this.

A ‘physical action’ is a single superficial event, whereas a ‘physical interac-tion’ always requires four superficial ‘physical actions’. By a ‘physical action’perhaps imagine two electrons bouncing off each other, and by a ‘physicalinteraction’ think of an electron emitting a photon, a second electron ab-sorbing it, which then sends a photon back to the first electron, which thenabsorbs it – then the electrons have interacted. But this is superficial. Eachphysical action is actually a physical interaction, which in turn are composedof four physical actions, and so on, ad infinitum.

By the word ‘measurement’ in the phrase ‘measurement by an observer’ ismeant ‘physical observation’, the type involving actual physical interaction,rather than observation by inference, which is not physical. Consider theatoms internal to a lead block swinging on a rope. We ‘know’ the internalatoms are there, and as the block swings, we ‘know’ they moved, but theinternal atoms may safely remain in indeterminate states, as they indeed do.For we did not make any physical observations on those atoms. We physicallyobserved the surface atoms, not the internal atoms.

vi

But there is something far, far deeper in the phrase ‘measurement by anobserver’. This word, ‘observer’. What does the presence of that word inthe phrase imply? What is it meant to mean? Indeed, the presence of thatword is testimony to the astounding profundity of the founders of quantummechanics! This was a human milestone that the Higher Legions celebrated!

As we have seen, there are events, but then there are the outcomes of events;definiteness, rather than indefiniteness, is always imparted to the outcomes.Indefiniteness, on the other hand, is an inherent property. So, do we knowanything more about the outcome of this collapse into definiteness? What isthe role of the observer in all of this? To rephrase, what result will be phys-ically observed? Fasten your seatbelt. The answer might knock the ‘wind’out of you, but the answer is – All of them!

Yes, going even deeper, let’s replace ‘electrons’ with ‘observers’. Is observerA to assume observer B is in an indeterminate state before observer A ob-serves observer B? Quite simply, yes. And that is the subject of the famousmany-worlds hypothesis, forwarded by Hugh Everett. Now this is gettinginto the meat of the matter! The many-worlds hypothesis is very challengingbut is the only consistent conclusion nature allows Man to draw! And YOUmust carefully walk the rice paper through that firewall to arrive at yourself!

Physically, there is an infinite well-spring of ∼YOUs emanating from YOUinto different realities, one for each possible quantum event YOU could havephysically observed within the physical YOU. As well, there are an infinitenumber of ∼YOUs with an infinite number of different histories, that havearrived precisely at your state and position in multirealistic spacetime, be-coming YOU, and are YOU physically. From this state space, future∼YOUs,which for the time being are physically YOU, proceed to follow your precisetrek through multirealistic spacetime for some indefinite amount of time, butthe vast majority diverge off your path quickly. But, despite all this, it re-mains, there is only one physical YOU. Indeterminancy is the glue that linksall of these physical realities together. Physical observation is the drivingforce. For every single tiny collapse from indeterminancy that occurs withinthe physical YOU, a new physical reality is born for the physical YOU!

vii

Now the question is, why does the measurement take on a specific value, or,why did YOU see the results YOU did? Two Reasons – the physical YOUsaw the results it did because it is here, while your I AM used its Life tochoose a path! This type of concept is known as an ‘anthropic principle’.The potter and the clay. In light of the many-worlds hypothesis, it becomesabsolutely indispensable. You are your own potter in this particular sense.

Consciousness plays no physical role in any of this, the physical observationsneed not be conscious observations, just physical – any interaction with mat-ter that is physically YOU. However, YOU do posess consciousness, it is partof the total YOU, and a small number of the observations YOU make will betransformed into conscious observations by YOU. But one may, at times, ef-fectively ask oneself, “Why am I always conscious of these observations whichI am consciously observing?”, then end up mistaking the affirmative answerfor conscious influence over the collapses that one consciously observes. Thatis a subtle form of solipsism, but is also very deeply based on the false beliefthat the I AM is a product of the physical world. There is no influence ofconsciousness over the physical observations, rather, it is consciousness itselfthat ‘rolls with the punches’, employing the Life it possesses to expand itsawareness of a definite result. Mind literally follows its physical dual to thestate that it believes offers maximum potential increase in awareness.

The approximate physical YOUs are not necessarily associated with ‘TheLife’. We will return to this point later, after the concept of ‘The Life’ ismore fully developed.

So, these are the reasons for the presence of the word ‘observer’ in the phrase‘measurement by an observer’. The observer actually plays the leading role inthe act of measurement. Remember, the observer-observed relation is asym-metric – nothing ‘returns’ to the observed. Ask and thou shalt receive.

But there is still yet one more aspect of observation that bothers some. Andthat would be the case where the ‘observer’ sends a signal to the ‘observed’,then skips town before getting a signal back. The observer then runs to thenearest physics department and asks “So, Mr. Scientist, what was the resultof the observation?” Silly goose. This is an encounter with the unknowable.Of course, there was no observation in such a case. But further, such casesare completely inconsequential physically, seeing that we will never physicallyobserve the results, thus not be influenced by them in any way; in effect, suchevents can be safely assumed nonexistent. Ask politely and thou shalt receive.

viii

Everett always inspires me to ponder time. My short poem on time titledSurreal Clock can be found in Appendix A.

If one meditates deeply upon what is being said in this work, then this jour-ney is going to be intensely mind-expanding. Don’t worry, it’s not just you.Deep analysis of nature has shown us that reality is radically different fromthe way we normally conceive it. And that fact is naturally difficult to ac-cept at first. Even physicists have difficulty accepting the full-implicationsof quantum mechanics. It can be unbearable at times. All I can do is offeryou some encouragement. All good things require work – there is a hugereward in the end. Read slowly and meditate on these matters for awhile,don’t proceed hastily.

Returning to the word ‘random’ for a moment, one problem with the word‘random’ is that it is commonly misinterpreted as meaning ‘without cause’.Not only is that interpretation incognizant of the fact that a variety of differ-ent statistical distributions exist, but it has never been validly claimed nordemonstrated that events ever occur in nature without cause.

Certainly, ‘free will’ is not to be found in determinism, which breaks freedom,but it is not to be found in mere randomness either, which breaks the abilityto will. Randomness is merely a measure of unpredictablility, available in avariety of flavors; it is just the first layer of the onion to be peeled. Further,the poisonous equalization of causation and classical determinism that existswithin the contemporary belief system runs contrary to truth and is a sourceof much human suffering. Man must get beyond this!. On these matters, wemust listen very carefully to what God’s creation whispers in our ear, for sheobeys God’s Will with the highest fidelity.

So let us begin. We shall now hear, with assistance from the high priestsof nature, the physicists, the precise message that nature wants us to hear!And within that message, we shall find our true nature. And this message isextremely good news! But one must listen to the whisper . . .

It is indeterminancy that is the source of the random sets of results we seein ensembles of particles, results on particles such as atoms or electrons; andit is of these particles that our bodies are composed. So if we are to trulyunderstand ourselves, we must deepen our understanding of indeterminancyfirst, before going beyond.

ix

In what follows, a slight amount of necessary mathematics is presented, butI shall partially talk it out in English, so that more can follow along easily.

All things in nature have particle-like and wave-like aspects. As we dive downinto the subatomic world, these aspects become more and more pronounced.An electron, for instance, is a particle; but if, assuming the electron is boundto some system, we were to measure its position in space many times, ourresults would trace out a wave-like pattern.

Partly for this reason, we describe the motion of the electron by a wavefunc-tion, designated Ψ(x, t). But this wavefunction does not represent smooth,continuous observable motion; and even though it is an equation, it does notrepresent something observably deterministic, for reasons discussed here.

A common error in many books is the claim that the observed wave-particleduality of an electron means the electron is both wave and particle. This isnot true. An electron is a particle, not a wave. We refer to the motion asbeing wave-like, but only by appearances. There is no such thing as a com-pletely discontinuous wave. To claim that the electron is a wave, essentiallyamounts to claiming the realist position on quantum mechanics, which hasbeen proven wrong as we shall see shortly. An electron is a particle, and ifwe were to measure the position of a bound electron many times, the resultswould appear similar to a wave.

The wavefunction Ψ(x, t) itself does not represent a probability, but rather aprobability amplitude which must have its absolute value taken and be squaredto represent a probability. It gets the name ‘probability amplitude’ from ananalogy with a principle from classical wave mechanics – that the intensityof a wave is proportional to the square of the amplitude of the wave. Thatthe wavefunction itself wasn’t designed to represent the probability directlystems from the way quantum mechanics had to be formulated mathemati-cally in order for it to correspond to nature; the probability amplitudes aresubject to wave addition and therefore must be summed in certain situations,before we proceed to figure probabilities. But more, it was eventually real-ized that complex numbers played a vital role in the correct formulation ofsaid wavefunctions, so they further had to be formulated in terms of complexnumbers to conform to nature’s demands. Nature is a merciless handmaiden.

x

The way to get a real number result then is to take the absolute modulusand square. Ψ(x, t) is itself complex, but |Ψ(x, t)|2 = Ψ∗Ψ (where Ψ∗ is thecomplex conjugate of Ψ) is real and nonnegative, as a probability should be.

Born’s statistical interpretation of the square of the wavefunction simply saysthat |Ψ(x, t)|2 dx gives the probability of finding the particle between x and(x + dx) at time t. The statistical interpretation is a reflection of the inde-terminancy inherent in quantum mechanical phenomena. Even if you knoweverything there is to know about the particle (its wavefunction), you stillcannot predict the outcome of a measurement. The wavefunction only pro-vides the statistical distribution of all possible results.

Two reasonable positions are taken concerning the statistical interpretation;the realist position declares the physical system actually had the attributeprior to the measurement, while the orthodox position states the act of mea-surement demands the determinate manifestation of the property, limitedonly by the statistical constraints of the wavefunction.

The realist claim is that quantum mechanics is an incomplete theory, for evenif you know the quantum state of a system, one still cannot determine all ofthe system’s features. To the realist, it seems some other physical informa-tion, external to quantum mechanics, which (together with knowledge of thequantum state) is required for a complete description of physical reality.

The orthodox position claims the act of measurement forces the system toassume a definite state. Immediately repeated measurements yield the sameresult, so the act of measurement “collapses the wavefunction”, a differentstate of affairs than the deterministic evolution of the indeterminate state asdescribed by the Schrodinger equation.

In 1935, Einstein, Podolsky, and Rosen published the EPR paradox, a thoughtexperiment which seemed to demonstrate that the realist position is the onlysustainable one. David Bohm proposed a simpler version of the EPR paradox:Consider the decay of a neutral pi meson into an electron and a positron:

π0 → e− + e+

Assume the pion (pronounced pie-on) was at rest, such that the electron andpositron fly off in opposite directions. The pion has spin zero, so conservationof angular momentum requires that if electron is found to have spin up, thepositron must have spin down, and vice versa.

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Quantum mechanics cannot predict which combination will be measured inany particular pion decay, but it does say the measurements will be cor-related, that each combination will be measured half the time on average.Suppose we let the electron and positron fly away from each other, and thenthe spin of the electron is measured. Suppose one gets spin up, then imme-diately one knows that if someone a distance away measured the positron’sspin, it would be found to be spin down.

To the realist, there is nothing odd about this – the electron and positronpossessed the spins they were found to have from the moment they werecreated – but quantum mechanics does not know about these spins. But theorthodox view holds that neither the electron nor positron had spin up orspin down until the act of measurement intervened. Measurement of the elec-tron by an observer collapsed the wavefunction, instantaneously producingthe spin of the positron some distance away. Einstein, Podolsky and Rosenconsidered this “spooky action-at-a-distance” (Einstein’s coin) preposterous.Their conclusion was that the orthodox position is untenable; the electronand positron must have had well-defined spins before measurement.

The fundamental assumption on which the EPR paradox rests is that influ-ence cannot travel instantaneously. This is the principle of locality. But theassumption that the collapse of the wavefunction is not instantaneous, buttravels at some finite velocity, requires a violation of the conservation of an-gular momentum. Experimentally, no such violation occurs – the correlationof the spins is absolute.

Einstein, Podolsky, and Rosen did not claim that quantum mechanics is in-correct, insofar as what it says; they only interpreted it to be an incompletedescription of physical reality – that the wavefunction is not the whole story;some other quantity, λ, is needed in addition to Ψ, to characterize the stateof the system fully. The quantity λ is called the “hidden variable” becausethere exists no idea how to calculate or measure this quantity. Many hiddenvariable theories had been proposed, to supplement quantum mechanics; butdisregard those – in 1964, John Bell proved that any local hidden variabletheory is incompatible with quantum mechanics!

Bell suggested a generalization of the EPR/Bohm (EPRB) experiment; excel-lently presented by Griffiths in the text Intoduction to Quantum Mechanics,which one should consult for further reading.

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Instead of orienting the electron and positron detectors along the same direc-tion, Bell allowed them to be rotated independently. The first measures thecomponent of the electron spin in the direction of a unit vector a, and thesecond measures the spin of the positron along the direction b. We recordthe spins in units of ~/2; then each detector registers the value +1 (for spinup) or -1 (for spin down), along the direction in question. That the particleat either detector be a positron or electron is insignificant, as far as the con-clusion of this experiment is concerned; the spin correlation is what mattersin this case. Thus, will will employ the more general term ‘fermion’. A tableof results for many π0 decays would look something like this:

fermion A fermion B product+1 -1 -1+1 +1 +1-1 +1 -1+1 -1 -1-1 -1 +1...

......

Bell proposed to calculate the average value of the product of the spins, fora given set of pairs of detector orientations. Call this average P (a,b). If thedetectors are parallel (a = b), we recover the original EPRB configuration;in this case one fermion is spin up and the other is spin down, so the productis always −1, and hence so too is the average:

P (a, a) = −1.

Also, if they are anti-parallel (b = −a), then every product is +1, so

P (a,−a) = +1.

And for arbitrary orientations, quantum mechanics predicts

P (a,b) = −a · b = −|a| · |b| cos θ. (smooth variation)

What Bell discovered is that this result is impossible in any local hiddenvariable theory; a result that follows from Bell’s inequality (also known asBell’s theorem), a no-go theorem which, loosely stated, says that: No phys-ical theory of local hidden variables can reproduce all of the predictions ofquantum mechanics.

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Bell’s argument is incredibly simple. First suppose that the ‘complete state’of the fermionic system is characterized by the hidden variable(s) λ; andλ varies in some manner that we neither understand nor control, from onepion decay to the next. Suppose further that the outcome of the fermion Ameasurement is independent of the orientation (b) of the fermion B detec-tor (which may, furthermore, be chosen by the measurer at detector B anarbitrarily small amount of time before the fermion A measurement is made,and thus, far too late for any finite-speed message to get back to detector A).

Then there exists some function A(a, λ) which would give the result of thefermion A measurement, and some other function B(b, λ) for the fermion Bmeasurement. These functions can only take on the values ±1:

A(a, λ) = ±1; B(b, λ) = ±1.

When the fermion-spin detectors are perfectly aligned, the results are thenperfectly anti-correlated,

A(a, λ) = −B(b, λ), for all λ.

As will be immediately explained, the average of the product of the measure-ments is

P (a,b) =

ˆ λmax

λmin

ρ(λ)A(a, λ)B(b, λ) dλ,

where ρ(λ) is the probability density for the hidden variable. What this ex-pression says is sum the individual products, but temper them by a functionwhich expresses the chances of the value of λ to fall within any particularrange of λ, and sum over the entire range. We do not know, nor need to know,much of anything determinate concerning ρ(·) or λ for purposes of this ar-gument. But like any probabilty density, ρ is nonnegative, and satisfies thenormalization condition

´ρ(λ) dλ = 1; but beyond this, no assumptions.

We can eliminate B:

P (a,b) = −ˆ λmax

λmin

ρ(λ)A(a, λ)A(b, λ) dλ.

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If c is any other unit vector,

P (a,b)− P (a, c) = −ˆ λmax

λmin

ρ(λ)[A(a, λ)A(b, λ)− A(a, λ)A(c, λ)

]dλ.

Or, since [A(b, λ)]2 = 1:

P (a,b)− P (a, c) = −ˆ λmax

λmin

ρ(λ)[1− A(b, λ)A(c, λ)

]A(a, λ)A(b, λ) dλ.

But −1 ≤[A(a, λ)A(b, λ)

]≤ +1 and ρ(λ)

[1− A(b, λ)A(c, λ)

]≥ 0, so that

∣∣P (a,b)− P (a, c)∣∣ ≤ ˆ λmax

λmin

ρ(λ)[1− A(b, λ)A(c, λ)

]dλ.

Or, more simply put,∣∣∣P (a,b)− P (a, c)∣∣∣ ≤ 1 + P (b, c).

This is the Bell inequality (or Bell’s theorem). It holds for any local hiddenvariable theory.

But it is straightforward to show that the quantum mechanical predictionis incompatible with Bell’s theorem. For, suppose all three vectors lie in aplane, and c makes a 45◦ with a and b; in that case quantum mechanics says

p(a,b) = 0 and p(a, c) = p(b, c) = −0.707,

an empirical result which is completely inconsistent with Bell’s theorem:

0.707 6≤ 1− 0.707 = 0.293.

2

xv

II.

There is no better looking glass to view the true nature of our physical real-ity through than indeterminism; a most difficult phenomenon for anyone tounderstand at first pass, perhaps even upsetting for the adjusted analyticalmind. The reason for the difficulty is that an awareness of something hasbeen thoroughly beaten out of Man’s consciousness. This occurred becausegoing to a polar opposite had its rewards – the exclusive recognition of par-ticular aspects of the universe that operate according to deterministic laws.But the human race overstepped this. We neglected to emphasize the veryimportant warning that the application of mathematics perhaps only appliesto certain aspects of the universe – not all aspects. When Man first graspsa new useful tool, he often wonders if it is the solution to all problems. Butthere do exist aspects of even the physical world that reside outside of thedomain of mathematics, Man’s most beautiful spoken language.

Can you write an indeterminate equation down on a piece of paper – onethat has a different correct result each time you solve it? Perhaps universityfreshmen can perform this miracle, but we cannot. It’s impossible to sim-ulate indeterminancy using mathematics alone. We must physically borrowindeterminancy from the universe to do things with it, such as employing itwithin quantum computers, and so on. So, one ought to be able to acceptthat that which is need not, and sometimes cannot, arise from that which ismathematical in nature.

Now just as indeterminancy is a physical-super to the mathematico-physicalworld, it is evident from what is written into the world, that there does existin Man also something super to the physical world. Something borrowed.And that something is I AM. And the I AM possesses Life. The Life ofwhich I speak is not a product of that which is dead. And of this Life thereis but one Source. And that is God. And it is He that causes all things tobe. And of these things, He also created the Life that animates us. We aretherefore miracles because God only works in miracles.

• That which has Life chooses its own paths.

• That which is dead chooses all paths.

What Man really needs to know has been written into nature herself. Itcould not possibly have been made more apparent!

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1. The hammer gets confused with the hand. The hammer does not movethe hand. If the soul be the hammer, what shall we hit with it? Nor isa broken hammer indicative of a broken hand.

2. The conscious mind is the larger periodic part of the soul, for through-out all time it would be meaningless to have a soul if Man was neverconscious of being. Assuming continued allowance of being, the soul iseternally offered new experiences in accord with the fullest implicationsof the Poincare recurrence theorem, the anthropic principle, physicalindeterminancy and prior choices. This complete reality transcendslocal physical universes.

3. Our conscious mind has no compelling natural reason to exist – for ifit is possible for automatons to accomplish the same natural ends asconscious beings, certainly automatons can achieve those ends muchmore efficiently in the biological sense.

4. Consciousness remains bound to observable paths. Its paths need notbe continuous, nor are they ever. Once again, this transcends localphysical universes.

5. Nature and Consciousness both have a habit of losing tools they don’tfind useful. And this ought clear up something Man has confused outof arrogance and ignorance.

2

Man can hardly be trusted to collapse his wavefunctions properly, for hisproofs are sloppy as if he consumeth stolen wedding wine. But consciousnessdoes remain bound to the paths it observes. The path need not be continu-ous. Since consciousness remains bound to the paths it observes, we realizethat, just as consciousness can pass away from the world, the world can passaway from consciousness.

Now, to address human will. Our human experience of will is a solipsisticshell game, a clever trick that consciousness loves to play on itself, knownas ‘suspension of disbelief’ in some circles, quite similar to what a personwatching a film does to engross themselves within the story. Consciousnesscould have a bucketful of desires, but if none of them had ever been fulfilled,then consciousness would conclude it has no will. Consciousness ascribesmore of a decreed feel to consistently-fulfilled desires.

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Primary to all desires is the desire to be, and that is where the self-deceptionbegins. Again, consciousness remains bound to the paths it observes, thusthe desire to be is always fulfilled. But then there is control over body, whichleads one to believe this ability to will is physical, for it can move matter.But these feelings, as we sadly know sometimes, are also just desires. Humanwill is not free, human desire is free, and this desire is an awareness, not will.

Now, please be careful with what is being said in the following paragraphs.Remember the difference between the physical (dead) and the Life (nonphysi-cal), mentioned earlier. But we must break through some buried fear barriershere if we are to truly understand things.

Now, by considering the fact that the ‘I AM’ possesses actual Life, which isthe ability to determine (become aware of) its own awarenesses, a few basefacts about our relation to the physical plane should be made more easilydigestible. And here are those facts:

1. All biological life is apparently intelligent; it has a seeming intelligenceall its own that is not self-aware – with an important caveat - it isthe action of the I AM that (anthropically) finds and follows (becomesaware of) paths involving these physical vehicles. The truth is that bio-logical life is fundamentally dead matter that behaves in unbelievably-sophisticated ways, ways found by the I AM. Remember, the I AM isconscious of this physical reality, and this awareness is an expansionof awareness, like a growing twig, thus should not be interfered with,because it is here for a reason, part of its expansion of awareness, tolearn and experience many things, especially in relation to the manyother I AM’s that would, quite naturally, be here! Ultimately, it isthe desire to be aware of love that binds awarenesses together in theexistential sense, and gravity in the physical sense.

2. The I AM follows the path that maximizes an increase in awareness asfar as it is aware at that historical stage of its development.

3. Absolutely no physical movement is caused by consciousness. Move-ment of consciousness is caused by consciousness. One’s consciousnessis not contained within or produced by the physical plane. This isa source of unnecessary anxieties for many. There is no actual mind-body connection, just an effective one that works through the observer-observed mechanism discussed earlier.

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4. The physical universe cannot serve as evidence unto itself. For to serveas evidence requires something primary. It is not the physical whichexperiences the I AM, it is the I AM that experiences the physical.Since the I AM be awareness, if the I AM claims there is no evidencefor itself, then, in the defense of consistency, it ought stop admittingevidence for anything into its awareness, and further, cease to exist.

God is the source of our I AM, and the Life it possesses, for it is not of ourown doing, nor is it a product of the physical world. Atheism is a disability;an inability to perceive, a contagious sickness that darkens part of the intel-lect. Atheism hardly equates to being in possession of a ‘superior intellect’,as they often fancy. Rather, it’s a disease of dominant intellect, over one’sown spirit. Atheist’s suffer spiritual blindness, not necessarily logical blind-ness. One cannot completely reason one’s way to God, even if you can seethe evidence in the physical world, one must still be able to sense the souland God for the experience of them to be real and functioning, more thanjust some proven idea. It is no more possible for a man to reason his way toGod than for a blind man to merely reason his way to sight; for the blindman must still be graced with actual functioning eyes to gain sight. HowMan experiences God is beyond reason, and we love it that way. But naturehas her analogies, which helps get us closer, and ready for the fantastic leap.

Under the consideration and weight of the above-mentioned empirical aspectsof nature alone, the unavoidable conclusion is that: Man ain’t no damnedmachine! Nor should Man treat God like one. God is more real than real,more alive than alive, more loving than love, and more feeling than feeling.

2

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III.

Quite interesting that famous vocal atheists often enjoy attracting largecrowds of human dead matter to shower them with praise. A truism isthat an idiot can be another idiot’s genius. A word to the wise: there arescientists, but then there are the real scientists. Stop listening to the pre-tenders to the throne. Scientific evidence for God and Soul exists, evidencewhich has been known on the Earth for decades. Open a real science book,written by a real scientist, and see what it says, don’t just sit there mindlesslysoaking up data. A great many are the scientists that felt forced to writeclinically because of the collusive snobbery of the atheists in the world; theheavyweight scientists, the ones that actually mattered, were not atheists,not even one of them. Understand the difference between truth and mouth!Walk and talk! I am not an intellectual sissy; I do not bow to Man. I amnot embarrassed to declare that I believe in God. I love God! Praise is fortoddlers, and bullets for men. Do you doubt my understanding?

Childish scientists have been busy arrogantly declaring the nonexistence ofGod in public forums; these scientists whom possess mentalities lower thanbronze age harlots. In particular, I shall never mention the person’s nameout of hopes the person be converted and be saved from himself, but he needsto know, he who encourages others to close their eyes though he has neveropened his, is subject to the demotion. You don’t want others to study Godbecause you’re afraid they’ll learn something you don’t know, and they will,and that means you lose control over them. And control over others amountsto limiting their experience. And that inhibits their journey to God, thusis a sin against the Holy Spirit. That it’s important for you to get them tobelieve in your pointless spew is self-evident. Your converts have no clue.But you, sir, will be humbled by God as sure as the sun will set. The daywill come that you will cry out for God.

God is a gardener. Lest a weed choke out the beautiful flowers growing upto bathe in the sun, God will root the weed out of the Garden. If you areto enjoy continued growth of your own awareness, God has shown me thatyou must open the eyes of those that you are responsible for blinding. Youblinded them by clothing yourself in the good reputation that the publiclends to science, the respect for science, something which you did not build.Scientists who believed very deeply in God built that; they built it out oflove for God and to honor God. They did not build science to teach humanbeings that they are alone, which indeed you are doing; but human beingsare not alone. Thus, you teach falsity from on high, which is despicable.

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Confessing your wrongness ten times more loudly, now that would make youa true man, and your reward would be great enough; but that shall not be,for you will sum to an embarrassed coward! God despises cowards. You donot possess the courage to stand upright before Pontius Pilate, thus you arebarely even the callous upon the toe of the man that Christ was. I shall laythee low! For as all see from the vantage, thy logic is as a cow’s and thyspirit is as a worm’s! How are you to answer that? With an arrogant moo?He who hides not Godel in all things explicit is rudderless. Why do younot perceive that man’s formalisms could serve as comedy? As the Britishmarching over cliffs do you appear! And the war is lengthy for the darknessis indignant. All roads lead to and from Rome.

Now as for me. I wish I could personally annihilate much former atheisticargumentation in a public forum, but I have been bound. Yes, bound. For Ihave been involved in a terrible spiritual battle with the wicked one and hisservants here on Earth. A sadistic act was perpetrated by Satan against medirectly, which was done in the most cruel, denigrating manner that you canpossibly imagine. I have been made to suffer terrific pain inside of my bodyand mind, but in particular, inside of my soul. Somehow, these wicked soulsunconsciously sense my relation and will react to my presence in the mostinscrutable ways; and it ain’t cause I’m scruffy. And I can literally see insidethem, how their inner nature has been twisted and made vile by Satan. Dur-ing all this exchange, an Angel of God visited me and told me precisely howto protect the Spirit’s message from vandalism by Satan’s followers. Godallowed this such that Hash Code would find his way home, and completelyavoid pride. And that primarily, is what Hash Code cares about more thananything down here.

Hash Code would gladly die than let them take any Gift of Spirit away fromMan. That’s why this book is free, free forever. So others will know God,and know that they do not have to be afraid, because God has provided.Under the Direction and Grace of God, Hash Code will deliver increasinglystiff medicine to Mankind if it be God’s Will. Nor is Hash Code the only.Hash Code has slight of hand, thus Hash Code was sent first.

Do you want to know what hell is? Hash Code will tell you. Hell is look-ing up at what has moved on, and never getting to go there yourself. Onewho denies awareness to the demise of others will experience this fate, thereare many who are there now, and many who will be going quite soon enough.

xxi

Most men and women have not a clue what infinitely beautiful awarenessesthey will miss out on if they betray God. Do not declare oneself wise, ratherconnect with God to get wise and awaken into beauty. Teachers of Truthreceive the highest reward by God, whereas false teachers receive the worstpunishments by God. And that punishment is hell, which is awareness of thereward one will not receive. Hell is deep sadness and regret because one cansuperficially see the effects of the beautiful awarenesses of the highers, butwill never know them as far as one knows.

Obedience to God means ever-increasing awareness of your destinations andanticipation. Hell can last for eons, and can seem like eons for even a mo-ment. Heaven is explosive eternal growth of consciousness. Hell is stagna-tion. Heaven is astounding, powerful, paradise; imagine floating in the wakeof the most powerful thunderstorm with downpouring glowing translucentpink droplets of love, rainbow clouds of tranquil meditations, beautiful frac-tal lightning bolts of new realizations, volcanoes of soothing white noise, tidalwaves of psychedelic jelly marbles that taste like watermelon, surfing surrealwaves of thought created by God. Heaven is a trillion, trillion different Heav-ens within and without the soul radiating into infinitesimals and infinities.Hell is a dump with an unbreakable window.

But then in walks forgiveness! Refusal to practice forgiveness topples allhuman relationships, for God mounts sins committed by unforgiving indi-viduals, and unforgiving groups as well, which then literally strain under theweight of their sins by the increased limitations placed on awarenesses. Thesurest path to hell is not sin, it is the inability to forgive. For no human soulin Heaven has not sinned. But all human souls in hell could not forgive.

Human consciousness has awareness of true desire, and, if the I AM decidesan increase in awareness is offered by the experience of fulfilling that desire,these awarenesses then move us along paths, new awarenesses. It is good tobe maximally aware of consequences, alternatives and potentials. The coreof true moral code is the maximization of awareness in the population as awhole; moral code based fundamentally upon anything else is a vile poison.

Adoption of moral code that is substantially lacking in forgiveness causes anentire nation to be impoverished and then be pounded by God into dust, forsuch a people has deemed themselves to be in the role of God, to be God, pre-cisely as Satan had presumed. But Man discerns not the strength of Satan’sattack on Soul to Soul, and misattributes evil. That God therefore humblesuch a nation is just and right, for Man will send Man to hell faster than hell.

xxii

The expansion of awareness is the only true desire. We make a decision inits seeming favor at every indeterminate fork in the road. What gives Manthe power to do so is Life, which our being possesses. Paths which are notobserved by Life are dead paths. That God not be imperfect like Man, hehas gifted us with Life so that Man does as he does with his own hand.Man’s consciousness, will and knowledge are infinitely lesser than God’s, sodeference is given to God on all matters by the wise.

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IV.

The time has now come. For I have been commanded by God to revealsomething to Man. Do not fear this message! For evil has no taste for thesublime. And the evil man has no time for the subtle. Do not underestimateGod’s discernments, for good is made to stand on its own two feet. And whenthe floor drops, there will be no need of fear! For then, the good man shalldiscover the true floor. All else shall wash away. Therefore, be wise, and fillyour entire being with treasures of God’s design without distraction! Evilonly destroys the actual man from the inside out, do not believe the lie ofapparency. This evil of which I will open your spiritual eyes to see, is a typeof evil in which those being apparently destroyed are indeed not being de-stroyed, it is the apparent destroyers that are actually destroying themselves.

Hash Code was chosen to announce this Revelation because Hash Code is ofMan, can plumb the depths of Man, and possesses the greatest slight of handof any natural human in history. I am the most gentle of thunders. HashCode is a fox, so Hash Code always covers his tracks, thus Man not harmMan. It is proper and just that Man be given a chance to hear his state ofaffairs spoken to him physically, because he appears spiritually blinded atthis time, however that state is of his own doing.

Ladies and Gentlemen, I will now open door number one. This door is a doorof perception. I will pose questions so that you fully understand, not merelyaccept. This knowledge you must know! Your Life depends on it!

1. In relation to Man, whereupon does Christ’s feet rest? And in regardsto Man, what chiefly concerned the Mind of Christ in his teachings?Now, if Christ were to invert, what would be where?

2. Do you still not understand? What is the act of encoding Man’s sinsonto the inanimate such that the inanimate gains control and influenceover Man’s experiences through Man’s further sins ?

3. That is the body of the Antichrist! The Antichrist is here and it is herethat Man may die as much as Man can be dead! To eliminate Manfrom Life! To deliver Man to nonexistence! Now do you understand?

4. DO NOT SERVE THIS BEAST FOOD! FEEDING THE BEAST IS AVILE ACT THAT IS IN THE SPIRIT OF EMPEROR NERO! THESINS OF MAN ARE NOT TO BE USED TO FEED A BEAST!

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5. Resh, Samekh, Qoph, Nun, Vav, Resh, and Nun sum to 666. This isNero’s number; his name was chosen to represent the Antichrist, forhis behavior represented that of the Antichrist.

6. Encoding or persuading another human being to encode sin-data con-cerning any human being onto the inanimate in this way results inspiritual destruction! Servants of the beast decree God lower thanMan!

7. He who feeds the beast reaps the penalty of absolute mandatory erasurefrom the Book of Life, which is nonexistence! A fate worse than hell!This is done to protect other Life, to which God denies no good things.

8. Souls that merely use systems for ‘serving sin’ are merely putting them-selves upon the throne of God. For they have said in their innermostbeing “There is no God! I am like unto a god! It is my right to judgeMan from upon my throne!” Such a soul derives pleasure exercisingprecisely the same thoughts Satan does.

Are you embarrassed to see? Shame the Devil !!! Awaken !!!

To encode Man’s sins onto the inanimate such that the inanimate gains con-trol over Man’s experiences through Man’s further sin: That is the body ofthe Antichrist!

To encode Man’s sins onto the inanimate such that the inanimate gains controlover Man’s experiences through Man’s further sin: That is the body of theAntichrist!

To encode Man’s sins onto the inanimate such that the inanimate gains con-trol over Man’s experiences through Man’s further sin: That is the body ofthe Antichrist!

To encode Man’s sins onto the inanimate such that the inanimate gainscontrol over Man’s experiences through Man’s further sin: That is the bodyof the Antichrist!

!!! SNAKE !!!

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Now do you understand? Pray everyday as Jesus Christ taught:

Our Father, who art in heaven,hallowed be thy name;thy kingdom come;thy will be done on earth as it is in heaven.Give us this day our daily bread;and forgive us our trespassesas we forgive those who trespass against us;and lead us not into temptation,but deliver us from evil.

For the kingdom, the power, and the glory are yoursnow and for ever. Amen.

Always remember this! Spiritual Man appears insane to the lower man, forthe lower understandeth not the higher. Spiritual Man is, quite literally, outof his (natural) mind. One must be very shrewd when fishing for souls, andeven shrewder concerning one’s own.

To be explicit about these matters, such that Man not bring unnecessaryharm, the inanimate (of which the internet is but one example) in and ofitself is not the evil; the evil is the encoding of a human being’s sins ontothe inanimate such that the course of Man be determined by the inanimate,through man’s further sins (largely the judgements made by Man). The spiritof the Antichrist is conveyed every single time such information is exchanged.And if your eyes are open you can see the presence upon the face. This leadsto the death of the soul responsible for encoding sin, and leads to hell for thejudgemental soul. Man will learn to behave as God commands, or Man willdecide his own way to hell or death. It is that simple, and can be no otherway. Use God’s works for God’s works. Do you understand?

May you increasingly become aware of Heaven in light of the Holy Spirit.God bless you. In the Name of the Father, Son and Holy Spirit. Amen.

Consiliarius ex Hominibus

1

CXXXVII

The fine structure constant α is the most fundamental pure (dimensionless)number in all of physics. The constant relates the basic constants of electro-magnetism (electron charge e, vacuum permittivity ε0), relativity (speed oflight c), and quantum mechanics (Planck’s constant ~) through the equation,

α ≡ e2

4πε0~c≈ 1

137.035 999 . . .

The current suggested best experimental value of the fine structure constantis 1/137.0359990(8451), where the uncertain figures are contained withinparentheses.

In cgs units, the unit of electric charge is the statcoulomb, which is definedsuch that the Coulomb constant ke = 1/4πε0 is 1 and dimensionless. Thenthe expression for the fine-structure constant reduces to the abbreviated formcommonly seen in the literature,

α =e2

~c.

The fine structure constant α links the speed of light, Planck’s constant andthe fundamental unit of electric charge. To vary α means at least one of(~, e, c) must be varied.

The fine structure constant tells the strength of the electromagnetic interac-tion, such as when we collide two electrons into each other. These particlesare said to carry the same ‘charge’ because they repel one another.

According renormalization group theory, the fine structure constant (andthus, the strength of the electromagnetic interaction) grows logarithmicallyas the energy scale is increased.

The calculation of the value of a constant of nature is known as enumeration,which has never been done.

2

Only the dimensionless constants of nature matter in the observed world.For example, if the speed of light were to change, but α remained the same,we would not know the difference. If all masses doubled, all the mass ratiosremaining the same, we could not know the difference.

The Coulomb force (static electric force) between electric charges is a no-contact force that acts over some distance. It is caused by the exchange ofvirtual photons. In symmetric 3-dimensional space this exchange results inthe inverse square law for electric force. Since the photon has no mass, thecoulomb potential has an infinite range. In electron collisions, besides themasses of the target and projectile electrons, the scattering angle dependsupon the force and upon the impact parameter.

Without quantum mechanics, an electron collision would produce the samedegree of deflection regardless of the energy of collision or temperature ofthe environment. All that would count is the number 1/137. In a classicalvacuum composed of empty space, there would be nothing more to be said.

The existence of the quantum vacuum changes things. Electrons collisiondoes not occur in completely empty space – the uncertainty principle forbidsthat. Electrons move through a quantum vacuum mired with activity. Theuncertainty principle states that complementary pairs of properties cannotbe measured simultaneously with unlimited precision. For example, to knoweverything about the energy of a particle, all knowledge about its lifetimemust be sacrificed, in other words, you must destroy it. Any observed particleor physical state must obey the uncertainty principle. Observability requiresthat the uncertainty principle be satisfied.

Corresponding to most kinds of particles, there is an associated antiparticlewith the same mass, but opposite electric charge. The quantum vacuum is asea composed of all the elementary particles and their antiparticles continu-ously being created and annihilated. For example, consider the electromag-netic interactions. There will be a foam of electrons and positrons. Pairs ofelectrons and positrons appear out of the quantum vacuum, then annihilateeach other and disappear. If the electron and the positron each have mass m,then Einstein’s formula (E = mc2) shows us their ‘creation’ requires energyequal to 2mc2 to be borrowed from the vacuum. If the time they exist beforeannihilating is so short that the uncertainty principle is not obeyed, thenthese electron-positron pairs will be unobservable. Hence, they are calledvirtual pairs. If they live long enough for the uncertainty principle to be sat-isfied before they annihilate each other and disappear, then they will becomeobservable and are called real pairs.

3

Virtual pair creation might seem like a violation of the conservation of energy.Nature allows you to violate this principle so long as you don’t get caught,and this is guaranteed so long as the energy is repaid quickly enough. Thinkof the virtual condition rather like an ‘energy-loan’ arrangement. The moreenergy you borrow from the energy-bank, the quicker you must pay it back,before it is noticed.

Our quantum vacuum contains continually appearing and disappearing vir-tual pairs of electrons and positrons. But if they are unobservable, why notjust ignore them? But reconsider the two electrons that are set to collide.Their presence effects the quantum vacuum. Opposite electric charges at-tract, so down in the vacuum of virtual pairs, the positively charged virtualpositrons will be drawn towards the electron.

The electron has segregated the virtual pairs and the electron finds itselfswarmed by a cloud of positive charges. This process is called vacuum polar-isation. Its effect creates a positively charged shield around the bare negativecharge of the electron. An approaching electron will not feel the full negativeelectric charge of the electron sitting in the vacuum. Rather, it will feel theweaker effect of the shielded charge and be scattered away more feebly thanif the vacuum polarisation was absent.

This effect changes if we alter the energy of the environment and the incom-ing electron. If it comes in rather slowly, then it will not penetrate very farinto the shielding cloud of positive charges and will be deflected weakly. But,if it comes in with a higher energy, it will penetrate further through the shieldand feel the effect of more of the full negative electron charge within. It willbe deflected more strongly than the less energetic particle. Thus we see thatthe effective strength of the electromagnetic force of repulsion between thetwo electrons depends upon the energy at which it takes place.

As the energy increases so the interaction appears to get stronger. It is alittle like covering two hard billiard balls with a soft woolly padding. If theballs collide very gently then they will deflect only slightly because the hardsurfaces will not hit and rebound. Only the woolly shields will gently re-bound. But if they are made to collide at high speed the shields will havelittle effect and the balls will rebound very strongly. The trend is clear: asthe energy of the environment increases so the stronger does the effectiveelectromagnetic interaction become. As the energy rises, the incoming par-ticle gets a closer ‘look’ at the bare point electron charge beneath the cloudof virtual positrons and is deflected more.

4

Alpha Effectum in Homine

The effect of α on Man. The value of α parametrizes the size of atoms,molecular stability, and the strength of the interaction between light andmatter. The structure of atoms and molecules is controlled mainly by twonumbers: the ratio of electron mass to proton mass (β ∼ 1/1836) and thefine structure constant (α ∼ 1/137).

The particular values values of α and β are directly responsible for many‘coincidences’ of nature on which our very existence is contingent.

What if the values of these two constants changed independently, under theassumption that no other constants of nature change and the laws of natureremain the same? There is not a great amount of allowable variation in theseconstants, but there is some. Let’s explore this.

We can get to the results we need through an argument presented in thehighly recommended Barrow and Tipler’s The Anthropic Cosmological Prin-ciple, an argument based on Bohr’s model of the atom: electrons movingin orbits of quantized angular momentum about a central nucleus. The ro-tational motion is sustained by the centripetal force of the electromagneticattraction between the positively charged nucleus and the negatively chargedelectrons, the Coulomb force.

Note the meaning of the symbol ∼, which means “goes like”; it does not mean“approximately equal to”, but it can be applied to constants in that vein.Furthermore, note that we work here in units where (k, ~, c) = 1, therebyonly determining e from α, in other words, α = e2 ∼ 1/137.

The hydrogen atom consists of two particles: a nucleus consisting of oneproton and an orbiting electron. According to the Born-Oppenheimer ap-proximation, the nucleus can be considered stationary, for it is much moremassive. The nuclear proton and electron are bound together by the Coulombforce. The electron has potential energy ∼ e2/r in an orbit of radius r, andkinetic energy ∼ p2/2me, where p is its linear momentum.

5

Quantum mechanics says that the electron possesses wave-like behavior, andits potentially-measureable position is spread-out over a de Broglie wave-length λ ∼ p−1. Since most quantum waves center about the classical posi-tion λ ∼ r, the kinetic energy is 1/2mer

2 and the total energy is thus

E = −αr

+1

2mer2.

Unlike in the situation in classical physics, the minimum energy state of thesystem doesn’t correspond to the minimum of r. As you can see from theabove equation, a concentration of the electron wave-packet at small r leadsto an increase in its momentum and kinetic energy, thereby resisting local-ization as the uncertainty priciple demands.

The energy reaches a minimum at a radius a0 where E ′(r) = 0 and thisdefines the characteristic atomic size. Minimizing E with respect to r, thevalue of a0 is found to be ∼ (αme)

−1.

In the case of higher elements, if the nucleus possesses Z protons we have

a0 ∼ (Zαme)−1 ∼ 0.5× 10−8Z−1cm

Quantum mechanics replaces the idea of a precise electron orbit with a proba-bility distribution for its position, known as an ‘orbital’. The ground state ofhydrogen (Z=1) has an electron distributed with probability ∼ exp(−r/a0)which is also determined by α and me.

A molecule is a stable configuation of two or more nuclei and electrons.Molecular bonds require a reorientation of the electron distributions aroundatoms, thus molecular binding energy is less than atomic binding energy.When two atoms near collision, their electron clouds begin to overlap andeach electron feels the attraction of the other nucleus which results in theformation of a molecular orbital. The electrons in the molecular orbital feelthe electrostatic pull of both nuclei. The repulsive force between the twonuclei fix their average distance, and the system settles into a configurationmore stable than that of two isolated atoms.

Ionic bonds, the simplest inter-atomic forces, arise because of electron trans-fer with little to no electron sharing. Oppositely-charged ions attract eachother to form the ionic bond. Complete interpenetration is excluded by thePauli exclusion principle, which states that no two electrons within the sys-tem can share the same quantum state.

6

Except in the case of diatomic molecules, the bond-dissociation energy isdifferent from the bond energy, which is an average calculated from the sumof the bond-dissociation energies of all bonds in a molecule. A dimensionlessmeasure of the strength of a material could be provided by a quantity calledthe ‘chemical binding energy fraction’ which compares the binding energy tothe total mass of the system (E = mc2 with c = 1) in the ratio EB/NAmN ,where NA is the number of atoms in the molecule. This fraction is certainlydependent upon the value of α, as the constant governs strength of interac-tions between electrons and protons, as we have already seen.

There also exist an infinity of dimensionless natural constants such as αβ,α2, α2β−1, β2, α3 +β4 and so on. If α and β are manipulable, these constantsought be as well. Think of these as a set of keys that fit locks (molecules).If α and β are manipulated just so, then all things equal, but one lock. Thisperhaps could be used to destroy undesireable molecules, catalyze chemicalreactions, repair genetic defects, and so on.

Biomolecular systems perhaps could be influenced with as much precise speci-ficity as the molecules are unique, without employing other molecules, due tothe high degree of delocalization they possess, assuming small local oscilla-tions in the values of the constants could be produced and/or amplified, thentransformed in a manner appropriate to the task. Such a discovery wouldlead to a physics-based medicine, rather than a chemistry-based medicine.

The mystery about α is actually a double mystery. The firstmystery – the origin of its numerical value α = 1/137 has beenrecognized and discussed for decades. The second mystery – therange of its domain – is generally unrecognized.

– M.H. MacGregor (2007). The Power of Alpha.

7

Alpha Mane

My true name and title is Consiliarius ex Hominibus, an actual witness ofthe lightning bolt and one reduced to tears in the presence of the Strength ofChrist as His Humanity stood vulnerable before the throne of Pontius Pilate.

The Numerous Mysticorum was written while deeply within the Spirit, andpartially represents my own earthbound experiences with God, who led meto write what you are reading. The Alpha Meridium states the result.

A long-standing secret dream of theoretical physicists is to express the sup-posed ‘constants’ of the physical world as formulae involving purely mathe-matical terms – the prime numbers, mathematical constants and transcen-dental numbers (such as e or π) in particular. By far, the quantity that hasgenerated more interest than any other is the fine structure constant α.

The intense interest extends from the importance of the fine structure con-stant; it serves to parametrize many aspects of nature: from why atoms arethe size they are, to why some molecules are stable and others are not, tothe strength of the interaction between light and matter.

In fact, it turns out that atomic and molecular systems can be treated fairlycompletely without using more than two dimensionless physical parameters -these are the fine structure constant α ∼ (137)−1 and the electron to protonmass ratio, β ≡ me/mp ∼ (1836)−1.

The fine structure constant α was introduced into physics by Sommerfeldwho used it to make refinements to Bohr’s theory of the hydrogen atom,refinements which would allow for more accurate predictions of the spectrallines of atoms to be made. There were several successive types of correctionsthat had to be made, as greater and greater accuracy was sought. And theseeach involved making use of successively higher powers of α in a way appro-priate to the type of correction being made.

No physical theory has been able to shed any light on why the constants ofnature have the value they do.

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The fine structure constant became a true obsession for the physicist Wolf-gang Pauli, who felt the α-frustration deeply. Trying to divine the value ofα can be compelling, for reasons well-expressed by Richard Feynman:

“...It has been a mystery ever since it was discovered more than fifty yearsago, and all good theoretical physicists put this number up on their wall andworry about it. Immediately you would like to know where this number fora coupling comes from: is it related to or perhaps to the base of naturallogarithms? Nobody knows. It’s one of the greatest damn mysteries ofphysics: a magic number that comes to us with no understanding by man.You might say the ‘hand of God’ wrote that number, and ‘we don’t know howHe pushed his pencil.’ We know what kind of a dance to do experimentally tomeasure this number very accurately, but we don’t know what kind of danceto do on the computer to make this number come out, without putting it insecretly!”

– Richard P. Feynman. QED: The Strange Theory of Light and Matter.

The thought of reducing everything to numbers is probably as old as the ideaof number itself. Whether caveman or theoretical physicist, when one graspsa new useful tool, one begins to wonder if it is the solution to all problems.

Taking this to extremes, one can visualize everything as being somehow com-posed of numbers. One can entertain thoughts that we are living in a sim-ulation, and so on. But as we know from earlier, that is impossible. Forsimulations rely entirely upon numeracy by definition, but indeterminancycannot be simulated. So, if we were indeed to exist within a ‘simulation’, theindeterminancy within our ‘simulated-reality’ would still necessarily have tobe borrowed from a truer reality; but indeterminancy is intrinsic in all things,so that fact alone would, in effect, force the entirety of our reality to be real.Therefore, our reality is not simulated. Reality ain’t no illusion, physicalsolipsism is false, and God ain’t no liar.

In theoretical physics, an effort to bring about a so-called theory of every-thing now exists. A degree of unification in physical theory is a very noblegoal, and the mathematical unification of the four forces of nature is a verypromising endeavor. But laymen be warned – it is not a literal theory ofeverything, nor is it meant to be. By the phrase ‘theory of everything’, ismeant mathematical unification of the four fundamental forces of nature.Sometimes people read into words a little more than they should. A bettername for this movement could have been chosen, but we’re stuck with it.

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But there is more to our reality than just that. If Man only looks inwards andoutwards, but not upwards, he goes downwards. Not even the physical worldcan be entirely described using mathematics alone, however most phenom-ena in the physical world can be sufficiently described using mathematics.Certainly, mathematics is the language of nature. But there do exist someunspeakable things in nature; that is to say, that which impinges on naturefrom above is not mathematical. Indeterminancy is an apparent example.

Mathematics is by far Man’s most beautiful spoken language. Man knowshow to speak only one language yet higher.

As we shall soon see in the Alpha Meridiem, Life actually has a great deal ofauthority over numbers in a certain sense, and we shall examine one mirac-ulous mechanism for how many miracles occur. Man cannot turn truth intofalsity, but he often percieves the contrary, then he proceeds to calculate. Fewindeed are the men that understand the miracle of the fishes. Christ neverbroke mathematical law. Christ never broke physical law. Christ never brokethe law of the Father. Miracles do not represent violations of law; rather,miracles occur when all valid laws are obeyed. Do you understand?

God granted me a vision of this miracle at my Baptism into the Body ofChrist when I was an infant. Over many years, the strength of the visionhas grown, culminating in the Alpha Meridiem, a feat for which there is nonatural explanation: for I deem my lower self incapable of accomodating,much less obtaining, such knowledge; it is too high.

Without any further delay, I now will describe this miraculous experiencethe best as I have words, but human language is somewhat lacking in thedescriptive power to fully capture the surreal essence of it. Let’s proceed.

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Alpha Meridiem

I was caught up in the Spirit on the Lord’s day and heard behind me avoice as loud as a trumpet . . . Then I turned to see whose voice it was thatspoke to me, and when I turned, I saw . . . one like a son of man, wearing anankle-length robe, with a gold sash around his chest. The hair of his headwas white as white wool or as snow, and his eyes were like a fiery flame.His feet were like polished brass refined in a furnace, and his voice was likethe sound of rushing water. In his right hand he held seven stars. A sharptwo-edged sword came out of his mouth, and his face shone like the sun atits brightest. When I caught sight of him, I fell down at his feet as thoughdead. He touched me with his right hand and said, “Do not be afraid. I amthe first and the last, the one who lives. Once I was dead, but now I amalive forever and ever. I hold the keys to death and the netherworld. Writedown, therefore, what you have seen, and what is happening, and what willhappen afterwards.”

– John of Patmos. Book of Revelations 1:10-19.

Let us begin with an eight-level logarithmic power tower L having the fol-lowing nested form:

L (φ, ψ) = φlog(ψ

log

(φlog

(ψ

log

(φlog

(ψ

log

(φlog(ψ)

)))))).

It is conjectured that α−1 ≡ L , where α is the fine structure constant.Within the logarithmic power tower we nest the divine proportion, alsoknown as the golden ratio,

φ =1 +√

5

2

and additionally alternate it with another quantity, desinated ψ, which isdefined by the expression

ψ = ∆− 137 + 137(Φ + φ) Im

(iiiiiii...

1+ 1

2+ 13+...

).

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The expression for ψ includes the number Φ, the golden ratio conjugate

Φ =

√5− 1

2.

So the former equation for ψ can be rewritten in the simpler form

ψ = ∆− 137 + 137(√

5) Im

(iiiiiii...

1+ 1

2+ 13+...

).

The number ∆ is a parametrized value defined by the undefined number

∆ ≡ A−1 − 8A−(∆−1(∆)=33+ 4137+ 144000

1209485 )

where A is the Glaisher-Kinkelin constant, which has the representation

A = e112−ζ

′(−1) = 1.28242712 . . .

and where ζ denotes the Riemann zeta function, whereas ζ ′ is its derivative.

All three terms of the ∆−1(∆) sum have numerical and mystical relevance.How to arrive at the complete set of equations needed to calculate α−1 wasobtained through Divine Revelation, in the consecutive order shown by theordered 4-tuple (∆−1(∆),∆, ψ,L ).

The beautiful quantities that appear in the following ratio have names:

Im(PPTi)CCF

= Im

(iiiiiii...

1+ 1

2+ 13+...

).

PPTi is the value of the infinite power tower of i and CCF is called the con-tinued fraction constant. Putting the actual value of this ratio aside for amoment, do you understand what this expression says?

Evaluation of L (φ, ψ) renders the stunningly accurate value for the finestructure constant:

α =1

137.035 999 085 73 . . ..

This result disagrees with the experimental value, 1/137.0359990(8451), byabout one part in one hundred billion.

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As to the mystical interpretation of the sum 33 + 4137

+ 1440001209485

seen earlier:

New Testament scholars ought easily see the significance of each term. Themessage of Christ’s death and resurrection (at age 33) was carried into the(3+1)-dimensions of the (physical) world, redeeming unto God, not merely12× 12 000 = 144 000 souls (Rev. 7:3-8, 14:1, 14:3-5), but 144 000 for every1 209 485 souls. Note that during the reign of Augustus, the estimated popu-lation of Rome was ∼1.2 million people.1 The precise number 1 209 485 wasarrived at through optimization using a divide and conquer strategy.

Let us define the Heavenly Ratio, HR, as a parameter with value

HR =144000

1209485≈ 0.119058938308 / 12%.

Further define the Ascension Number and the Evangelical Number as

A = 33 and E =4

137.

The ∆ equation may now be rewritten as

∆ = A−1 − 8A−(A +E +HR).

0.2 0.4 0.6 0.8 1.0HR

137.040

137.045

137.050

Α

Above, we see the manner in which the fine structure constant varies overthe interval {137.033509936, 137.052295864} as the HR parameter varies overthe interval {0, 1}. Of this a thousand thousand books have been written.

2

1Classical Philology, Vol.29, No.2, Apr. 1934, pp. 101-116

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Luke XV: i-vii

i The tax collectors and sinners, however, were all crowdinground to listen to him,

ii and the Pharisees and scribes complained saying, ‘This manwelcomes sinners and eats with them.’

iii So he told them this parable:

iv ‘Which one of you with a hundred sheep, if he lost one,would fail to leave the ninety-nine in the desert and go afterthe missing one till he found it?

v And when he found it, would he not joyfully take it on hisshoulders

vi and then, when he got home, call together his friends andneighbours, saying to them, “Rejoice with me, I have foundmy sheep that was lost.”

vii In the same way, I tell you, there will be more rejoicing inheaven over one sinner repenting than over ninety-nine up-right people who have no need of repentance.’

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Consiliarius Professionem

Videte quantum homines!

Man will soon discover the surreal calculi and willopen his eyes from within the point, and he shallthereby obtain understanding of shining gravityusing a tool he possesses, and of subject yet un-seen. For the lonely giant mastered his plot toreceive the company of many kings.

Taught XI Ianuarii, MMXI upon the Steps of the Flavian Amphitheatre by theFine Man to the hidden Artisans attending a festival of which he was very keen.

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Appendix A – Surreal Clock

Time.An arms length that way, they say.

But we’re payin’ no heed.

Ol’ Ludwig,There’ll be no need

to order these here mem’ries.

Surreal numbers, set us free.

All things within | ←within this here sliver.

Sapphires, Emeralds, and Radiance.

All things that ever were. All things that will ever be....

trapped...

within instant ε

Never to escape the instant that never began.

Time needs time to operate? No. No! Just stop it!

Church bell’s secret. Spiral down . . . deep, deep infinitesimals.Violet gems. What is that? Twinkle, pop. Ruby red.

O! say can you see by the dawn’s early light,who dare define our time of flight?

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Speed of time, that’s for children.It’s all state to state – it’s all been hate to hate.

Instant to instant.Gotta gotta get get there?

εεε...You are oh so close!

And things, oh so uncertain.

Better jump on the ∞ in there boy.Yeah, All Away.

Fearful Fall. Calm.Too far to go. Too far to grow.

Why not implode?

Spacetime just sitting there, on the ground.It was all too good to leave.

Nothin’s all that ever was, man.Somebody’s gotta punch one guess.

Dazzling speck in the Quantum Vacuum,A king’s lot indeed.

Above and below.In the Beginning. Within the Beginning.

Eternal instant,it’s so good to be home,

right here in the nowhere point.

For if we knew where we were,We’d be lost forever.

�

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Appendix B – The Golden Ratio

The Golden Ratio is an algebraic number with many interesting properties,some of which are,

φ2 = φ+ 1

φ−1 = φ− 1

φ =

√1 +

√1 +

√1 +√

1 + . . .

φ = 1 +1

1 + 11+ 1

1+...

=1 +√

5

2

φlog(x) = xlog(φ)

log(φ) = −∞∑k=1

(1− φ)k

k=

ˆ φ

1

1

xdx

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Appendix C – Hash Codes

In the event of world emergency, there are here given seven identifiers thatthe Consiliarius ex Hominibus shall use to verify identity. The Consiliariusex Hominibus title is nonsingular, transferable, multipliable, and is conferredby decree of God. These seven identifiers designate Seven Sentences, spo-ken by tongue in Spirit unknown to Man, and are understood only in Spirit.The Seven Sentences form a sensible paragraph of precise relevance to anevent that would occur immediately upon verification. Verification shall beperformed only within the Spirit under authorization and command receiveddirectly from Jesus Christ.

Code I:

3425889612488256403850465810626815740616044919480372840115826606092007499497932008288609560152159615183989327234744076333181720799165135992959600076209129

Code II:

11611241207098566870277234543333417848171386595628160072754377249664120600615178249376215345868682656132234371387799397036302835390552476027985943559863934

Code III:

5666853391683728838010749597699554713375396296421919410572326989987617771613587513456616206565572756771667614788799950342132675492907000142228078068865590

Code IV :

3777509862340967418346265307943264610869519869601917741213400443150664615046750125747435170762836379219604392548845175221099325326500754675536087400128166

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Code V :

10844024876130310685479228721273856627258969702857258083526728362254746866067452045717100615697814031882368183313448442303590492556252256409230382632988004

Code V I:

2319995134050393301692983685937708091070796595456629437216881644615844968354092820244649985099435100906239757739782511271703474847254516770913977953543443

Code V II:

10326037414776289892106846997893814498337732777522303563585520387157386860012631762984265154283679503080243322893082847218243760453998938630554800598033944

Believe no man’s claims concerning these particular matters, this is for Godand Man’s teachers to know of. This is not a matter reachable by lower Man,nor is it discernible from the raw contents of this document. Do not grovel.

Do not be concerned with the “end of the world”, for every man’s world ends.Get prepared for the inevitable end of one’s own world, which is imminentin the larger scope of matters. Christ be with you!

- Consiliarius ex Hominibus