episode20 aaas presentation sfsu august 2009

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  • 8/3/2019 Episode20 AAAS Presentation SFSU August 2009

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    PRESENTATIONANDDISCUSSION

    PHYSICS3.0: WHYCOMPUTERSCIENCEWILLLEADTHENEXT

    PHYSICSREVOLUTION

    STEVENBRYANT

    AMERICANASSOCIATIONFORTHEADVANCEMENTOFSCIENCE(AAAS)

    PACIFICDIVISIONCONFERNCE

    SANFRANCISCOSTATEUNIVERSITY

    SANFRANCISCO,CALIFORNIA

    AUGUST18,2009

  • 8/3/2019 Episode20 AAAS Presentation SFSU August 2009

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    Agenda

    Why Correcting the Problem Leads to an

    Easier Theory and Better Math Results

    Math and Conceptual Mistakes and Why

    They Havent Been Caught Before

    A Brief Look Back on the History ofMoving Systems Equations

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    A. Einstein

    Introduced Special

    Relativity

    SRT explains Michelson-

    Morley result as

    experimental error

    Introduces the concept

    and math associated withTime Dilation

    Experiment to measure

    Earth Velocity of 30 km/s

    around the sun

    Only detected between

    5-8 km/s

    Experiment is thought to

    be correct

    Michelson & Morley

    Wanted to explain the

    Michelson-Morley

    experimental result

    Introduces the concept

    and math associated

    with Length

    Contraction

    H.A. Lorentz

    Historyof

    Moving

    Systems

    Equations

    1905 Now1887 1895 1904

    LOTS of experiments

    that support SRT

    Modern navigation and

    position systems based

    on SRT principles and

    mathematics

    20th

    Century

    TheExistingModels,suchas

    SRT,arewelltestedand

    producereallygoodresults.

    Key

    Finding

    Howanymistakecouldgo

    undetected foracenturyand

    whatdifferencedoesitmake.

    Must

    Explain

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    TheUndetected

    Problem

    Wemakethesamemistaketoday,in2009,thatwehavemadefora centuryand

    thispreventsusfromeasilydetectingtheproblem.

    In physics, the wavelength of asinusoidal wave is the spatialperiod of the wave the distanceover which the wave's shaperepeats.

    , the wavelength of a 100 MHzelectromagnetic (radio) wave isabout: 3108 m/s divided by100106 Hz = 3 meters.

    Source: Wikipedia, August 2009

    If you study waves, you will find that wavelength and frequency are relatedby an equation

    Speed of the wave = Frequency x Wavelength

    Source: Nasa.Gov Website, August 2009

    wavelength can be converted into a frequency by the formula

    frequency in Hertz = 300,000,000 /

    where the Greek letter lambda, , means wavelength in meters, ....

    Source: QST Magazine, September 2009

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    DistinguishingTypes

    Rates,suchasMilesPerHour,aredifferentthanMeasures,such asMiles.

    I live in Oakland, which we can see is 60miles per hour from San Francisco StateUniversity.

    Speedometer

    Quiz: Which of the followingstatements is true?

    A. 60 Miles Per Hour is Greater Than 60Miles

    B. 60 Miles Per Hour is The Same as 60Miles

    C. 60 Miles Per Hour is Less Than 60Miles

    D. None of the above

    Generally,we

    would

    not

    mistake

    aRate,suchasMilesPerHour,as

    aMeasure,suchasMiles.

    Key

    Finding

    DoesourAnswerchangeifI lookat

    my

    speedometer

    and

    say

    I

    live

    60

    milesfromSFSU?

    Key

    Question

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    Rates

    (

    MilesPerHour)

    Measure

    (Miles)

    DistinguishingTypes

    60 Miles

    60 Miles Per Hour

    = 120 MilesPer Hour

    IfRatesaremathematicallytreatedasMeasures,wecangetthewronganswers.

    San Francisco, California San Jose, California

    = 120 Miles

    Added = 120 miles

    Averaged = 60 mph

    60 Miles

    60 Miles Per Hour

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    DistinguishingTypes

    (Continued)

    Frequency

    Is the Number of Cycles that occurs in someamount of time, usually one second, and is mostoften expressed in Hertz

    Wavelength

    Is the Length of One Cycle of a given Frequencyand is almost exclusively expressed in Meters

    Equation

    Cycles per unit of time

    Length of One Cycle

    *fv =

    s

    m

    s

    c

    c

    m

    Wavelength,,isaRate,expressedasMeters PerCycle,isdifferentfrom

    Length,whichisaMeasure givenin

    Meters.

    Key

    Finding

    Wavelength,suchasMetersPerCycle,isdifferentthanLength,suchasMeters.

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    DistinguishingTypes(Continued):WatchOut!

    Imagine a mirror is held 300,000,000

    meters from a light source. A light isdirected at the mirror at frequency f Hz.

    How many cycles are between the lightsource and the mirror?

    Now the mirror reflects the light back

    to the light source. How many cycles are between the light

    source and the mirror?

    How many cycles are there in thisround trip journey light source tomirror to light source?

    What is the frequency? What is the wavelength?

    Number of Cycles

    1 Second = Hz

    1 Cycle = Wavelength

    Number of Meters

    Number of Cycles

    2 Seconds (not Hz)

    Number of Meters

    2 Cycles (not Wavelength)

    FrequencyandWavelengthsareRates

    WavelengthshouldbeAveraged insteadofAdded

    Mistreating

    Wavelength

    for

    Length

    can

    produce

    incorrect

    results TheMichelsonMorleyAlgorithmAdded insteadofAveraging

    Key

    Finding

    MistreatingWavelengthforLengthcanleadtomistakesinMoving Systems

    algorithms.

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    InEinsteinsFunction,,

    canyouidentifythelocal

    andglobalvariables?

    Key

    Question

    Definition

    Invocation

    ( )120

    2

    1

    0

    22

    2

    1

    ))(,0,0,0(

    ),0,0,(

    ),0,0,0(

    )Real,Real,Real,Real(

    =+

    +

    +

    +=

    +=

    =

    =

    vc

    x

    vc

    xt

    vc

    xtx

    t

    vc

    xvttzyx

    Usage

    DistinguishingFunctions

    isaFunctionandFunctionsmustbehandleddifferentlythanEquations:Functionscanhavelocalvariablesandmustbeinvoked.

    --Invocation

    Simplification

    Global Variables

    --Local Variables

    --Optimization

    Definition

    FunctionsEquationsFeature

    Source: A. Einstein, 1905

    means required.

    * For todays discussion, ignore the global t variable in each function invocation and V is replaced with c.

    Functionsshouldbe writtenwith

    formalsignatures toavoidconfusing

    themwithequationsandtoclearly

    definelocalvariables.

    Note

  • 8/3/2019 Episode20 AAAS Presentation SFSU August 2009

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    Three ways to find (or the average) of

    the total:

    Add to and divide by 2

    Subtract from

    Add to

    22vc

    xv

    22vc

    xv

    vc

    x

    vc

    x

    +

    vc

    x

    +

    vc

    x

    What Does Einsteins () Function do?ReverseEngineering,usingEinsteinsfive()functioninvocations,tellsuswhatthefunctiondoes:ItanswersthequestionWhatistheaverageofthe

    ApproachingandRecedingDopplershifts?

    22

    2

    221

    '''),0,0,(

    vc

    cx

    vc

    vx

    vc

    xc

    vc

    xxcc

    =

    =

    ==

    Einstein()functionfindsthe

    averageofanApproachingand

    RecedingDopplershifts

    Key

    Finding

    Long Line

    Short Line

    22

    vc

    xv

    22vc

    xv

    vc

    x

    vc

    x

    +

    xxxxx

    Thisamountis thetotal,or

    2

    2

    1c

    v

    x

    Gives Meaning to 22 'vc

    vx

    Subtracttheshortlinefromthelongline tofinddisplacement

    Divideremainder,ordisplacement, intotwoequalparts

    Eithersubtract displacement fromlonglineor addtoshortline

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    Optimization

    versus

    Simplification

    Function

    Invocations

    FormalInformal (Einstein)

    DistinguishingFunctions(Continued):

    WatchOut!

    )()Real,Real,Real,Real(22 vc

    xvtatzyx

    vtxx

    =

    =

    )1/()(

    )(

    2

    2

    2

    22

    c

    v

    c

    vxt

    vc

    xvt

    vtxx

    =

    =

    =

    0andwhere),(

    0andwhere),(

    andx

    where),(

    2222

    2222

    22

    =

    ==

    =

    =

    =

    =

    =

    =

    xvc

    ztvc

    xvt

    xvc

    yt

    vc

    xvt

    xxvc

    tvc

    xvt

    EinsteindoesnotperformarequiredFunctionInvocationandincorrectly

    simplifies asifitwereanequation;mistreatingitasthesingletimevaluewhentherearethree oneforeachaxis!

    InEinsteinsderivation, istreatedlikeanalgebraicequation,makingiteasytooverlook

    the

    need

    to

    invoke

    the

    function

    before

    performingsimplification.

    Key

    Finding

    ),0,0,0(

    ),0,0,0(

    ),0,0,(

    22

    22

    vc

    z

    vc

    y

    vc

    xx

    z

    y

    x

    =

    =

    =

    Incorrectly

    Simplified

    As

    An

    Equation Cannot

    Be

    Simplified

    As

    An

    Equation

    is a Function!

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    WhatChanges?

    TheMichelson

    Morley

    Experiment

    Lorentz wanted to explain the failure to get 30 km/s

    SRT requires that the measured results are

    attributed to experimental error

    Interpreted as measuring null or 0 km/s

    No Experimental Convergence

    Distinguishes between Wavelength and Length Types

    Uses Wavelength versus Length Math Operations

    Aligns Expected Result Measurement Angle with Actual

    Result Measurement Angle

    30 km/s is Statistically Supported

    Experimental Convergence with Miller 1933 - 30 km/s!

    Original Algorithm Revised Algorithm

    TherevisedequationsincorporateourunderstandingofWavelengthandLength

    andstatisticallysupportstheexpectedresultof30km/s.

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    WhatChanges?

    TheIves

    Stillwell

    Atomic

    Clock

    Experiment

    TherevisedalgorithmpredictstheIvesStillwellAtomicClockexperimentwith

    equalorgreateraccuracythantheSRTequations.

    # Plate Actual

    Result

    Einstein

    Expected

    Result

    Einstein

    Variance

    REVISED

    Expected

    Result

    REVISED

    Variance

    1 169 10.35 10.3610 0.0110 10.3500 0.0000

    2 160 14.02 14.0403 0.0203 14.0201 0.0001

    3 163 15.40 15.4245 0.0245 15.4002 0.0002

    4 170 16.49 16.5181 0.0281 16.4902 0.0002

    5 165 14.07 14.0904 0.0204 14.0701 0.0001

    6 172 18.67 18.7060 0.0360 18.6703 0.0003

    7 172 15.14 15.1637 0.0237 15.1401 0.0001

    8 177 21.37 21.4172 0.0472 21.3704 0.0004

    mean 15.69 15.7151 0.0264 15.6889 0.0002

    Einsteins equations produce close

    results with a small error of 0.02 to

    0.03, to the degree of accuracy of the

    experiment

    ChallengesthebeliefthatSRTis

    theonly

    predictor

    of

    the

    Ives

    Stillwellexperiment.

    Key

    Finding

    Expected and Actual Results of the Doppler Displacement

    The new moving system equationsproduce 0 error, to the degree of accuracy

    of the experiment

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    WhatDoes

    This

    Mean?

    Ataminimum,ourtheoreticalunderstandingofMovingSystemswillchangeand

    ouranalyticalmodelsandequationscanimprove.

    Improved Navigation Systems

    New Moving Systems Models New Ideas and Products

    Improved Scientific Instrumentation

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    Summary

    Area Summary

    WhyHasntTheMistake

    BeenDetectedSooner?

    Wemakethemistakeallofthetimeandithasntcausedusaproblemyet,so

    weignoreit

    RequiresanunderstandingofthenuancesofFunctions

    WhatDoes

    It

    Change? Our

    understanding

    of

    any

    SRT

    experiment

    that

    uses

    Frequency

    or

    Wavelength

    MovingRods =WavelengthandStaticRods =Length

    EinsteinsconceptofsimultaneitydoesnotapplytoWavelength

    WhatDoesItMean? Newtheoriesandpracticalsolutionswithimprovedaccuracy

    Wecanexplainwhatthe functiondoes

    New

    algorithms

    that

    live

    within

    the

    error of

    the

    existing

    models

    WhatComputerScience

    ToolsAndAnalytical

    TechniquesDoWeUse

    ComputerSciencetools,techniquesandapproacheswillneedtobe

    incorporatedintoMathandPhysics

    Formalfunctionnotationandterms(types)makesproblemidentificationeasier

    WhatDoYouNeedTo

    Remember?

    Averages,Rates,and Functions

    TheaverageoftheapproachingandrecedingDopplershifts

    ComputerSciencetechniquesprovidetoolsandanalyticalprocessesthatcan

    improveourunderstandingofMovingSystemstheoriesandequations.

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    Thank You

    StevenBryant

    [email protected]

    www.RelativityChallenge.com

    (website,presentations,papersandpodcasts)

    2009Steven

    Bryant

    &

    RelativityChallenge.com