I lost interest in this paper after this line.
Quote:
The masse energy equivalence principle ( E = mc2 ) can be easily be derived from the Lorentz transformation.. E = mc2 , then momentum of a photon is masse*velocity = mc = E/c
Since light is attracted by the Sun and by the black whole, consequently photons have a masse.
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In Newtonian physics energy and momentum are separate concepts but in special relativity they are inextricably linked through the equation,
E^2=(pc)^2 + (mc^2)^2
E is the total energy, p is the momentum, mc^2 is the familiar term relating the energy of a particle to its rest mass m, c is the speed of light.
For a photon m=0 the equation reduces to E = pc or p= E/c.
This is the same as the above equation in the quote but is deduced from the condition that its rest mass is m=0.
If photons have non zero rest mass it can never reach the speed c much less surpass it as it would have a relativistic mass M = m/(1-(u/c)^2)^0.5 where u is the speed of the photon.
Put u=c and the relativistic mass M becomes infinitely large.
This is what we observe in particles accelerators such as the LHC.
The relativistic mass of a proton increases as its velocity increases.
Protons can be accelerated up 99.9999999999% (give or take a few decimal 9s) the speed of light at the LHC but can never reach the speed c.
Since photons have zero rest mass the rest of the paper makes no sense.
The gravitational bending of light comes from the Schwarczschild metric which is an exact solution to Einstein's General Relativity vacuum field equations.
The theoretical value agrees well with measurements of "sun grazing" photons.
Importantly the result is independent of the photon's wavelength hence it is not related to mechanisms such as refraction.