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BY VINEETH: B.V INEETH@IITG.ERNET.IN On the Newton's law of Dynamics : Fo

F=ma. LHS can be any type of force : elect romagnetic , strong f ie lds , weak

RHS is always ma where m is mass of the object and a is the accele rat ion .

F=ma equat ion biased towards mass "m" in the RHS ?

What I mean is , every force is related fi nal ly to "mass" to show it s phys

acceleration.

For e.g. i f we consider the force between two charges, then LHS is :

k q^2/ r^2 and RHS is ma. So, the accele rat ion of the any one part ic le is

a= k q^2/mr^2.

So, with respect to the part ic le ' s frame by Equivalence Pri ncip le , the co

the accelerat ion can be explained by a gravitat iona l force f ie ld with Uni

Field Intensity "a" from the partic le 's frame.

So; F=ma, fi ct i t i ous forces concept and the Einstein 's Equivalence Princip

that any force fi e ld whatever it might be shows it s effect as accelerat ion

presence of mass. And also , there exis ts an equivalent scene in terms of

f ie ld for a accelerat ion caused by any kind of forces by Equivalence Princ

This means the f ina l ef fects on a system caused due to whatever fo rce f ie

explained by an equivalent scene with respect to the parti c le ' s frame by

f ie ld .

This should immediately mean that any force f ie ld obeying Newton's Law sh

'convert ib le ' into gravi tat ional f ie ld .

This means charge, mass, energy, any f ie ld creat ing species can be eqiva le

in to some mass, which means charge, mass, energy must be in te r convert ib le

If a is the Gravitat ional Field Intensit y then the force experienced is m

Law F=ma, - > a= F/m. We can now equvalent ly say that in the space occupied

partic le , any force f ie ld gets converted equivalently in to a gravitat iona

intensi ty "a=F/m" which in turn produces effects of accelerat ion of the p

interat ion with mass. so, force on parti c le = (equivalent gravita t ional f

(F/m)*(m)= F. We adopt thi s idea to preserve the concept that gravitat iona

show it s effect only on mass, electr ica l fi e ld shows it s effect only on c

arguments.

But the only asymmetry is that al l the force f ie ld s are some-what biased

f ie ld /mass according to Newton's Law F=ma.

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To preserve symmetry we need to def ine the common class ica l dynamical qua

physics wrt every fundamental property of a parti c le (mass, charge, energy

momentum = mv, F=ma ,etc are biased over mass. I f these def

modif ied by taking in to account of the terms of mass, charge and energy

force f ie lds would be much more symmetrical unbiased to gravi tat ional f ie

mass momentum is mv then how about def in ing a new quanti ty cal led charge for e.g. = hqv (we don't know. just assuming l inear behaviour l ike mass,

where h is some constant .