Continuing the proven non-paradoxical behavior of photons in SR
A few random thoughts passed my mind in regard to “c” being an absolute speed limit.
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In a “pure vacuum” a photon having zero inertia (rest mass), would travel infinitely fast
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In a vacuum containing fields (a medium) the speed of a photon is restricted by resistance and at a certain speed the photon acquires virtual mass.
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In a Higgs field a photon acquires virtual mass @ “c”, and it is unable to go any faster, as that would require expenditure of energy
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If a photon were to go faster than “c” it would begin to shed energy and a photon being energy, the photon would cease to exist. Poof…!
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This might also account for virtual particles to pop in and out of existence. Virtual particles traveling at faster than “c” acquire virtual mass and must shed energy…Poof… !
Ran across this Q & A :
This follows from Einstein's Special Theory of Relativity which predicts a number of physical consequences for objects moving at large velocities, consequences which are outside our normal everyday intuition gained from observing objects moving at low velocities.
One effect is that particles with mass acquire a "relativistic mass" equal to their mass at zero velocity (called the rest mass) divided by the square root of ( 1 minus (particle velocity/speed of light) squared ). So effectively a particle gets more and more mass and is therefore harder and harder to speed up further. So hard that you can't ever reach the speed of light.
If you look at the equation, you see that if the particle velocity were to equal the speed of light, then you would compute a "relativistic mass" of the rest mass divided by zero. Something divided by zero is infinitely large. Another effect is that particles with exactly zero mass (for example a photon), MUST ALWAYS travel at exactly the speed of light! Pretty strange, and I suggest you consult your local library for books on Special Relativity for more interesting examples.
Now, all this is a "theory". Is it correct? I can only say that in countless tests done since Einstein put forth his theory in 1905, it has held up to every challenge. But then, so did Newton's theory for 219 years until Einstein found the flaws with high velocity objects. Hope this answers helps, John Cooperhttps://www.fnal.gov/pub/science/inquiring/questions/accel_mass.html