Einstien vs me

HOW WILL YOU PROVE THAT PROTON HAS MOMENTUM USING E2 = m2c4 + p2c2 ?

I dont know how much you know abt Relativity Physics. The answer in short is below ( without detail derivation ,since it is difficult to write math eqn here.) 

 momentum vector p = M u = m u / sqrt ( 1- u^2/c^2) 
here M is mass of relativistic particle and m is mass at rest generally written as m zero 

 p^2 = p.p = m^2 u^2 c^2/C^2-u^2 

 p^2c^2 = u^2(p^2+m^2+c^2) ---------- (i) 

 Now E = M c^2 = mc^2 / sqrt ( 1- u^2/c^2) 
E^2 = m^2 c^6 / c^2- u^2 ------------ (ii) 
using eqn i and ii 

 E^2 = p^2c^2+ m^2c^4 

 Photon at rest m =0 
E = pc.
What would the universe be like if the speed of light was infinite?
First of all, the speed of light being infinite really has two different meanings in physics, either it means: 
1. The maximum speed at which anything can travel is infinite. OR 
2. The speed at which photons themselves travel is infinite.
Note that 2 implies 1 since if photons can travel at an infinite speed, then there cannot be a finite speed limit. So, let's start assuming that 1 is true and then we will cover the case where 2 is true or false.
If the maximum speed at which anything can travel is infinite then we would live in a universe with Newtonian physics instead of Relativistic physics.
In relativity the maximum speed of anything is the speed of light and if you take the limit of the speed of light approaching infinity in relativity you get Newtonian physics. The Lorentz transforms of Special Relativity become the Galilean transformations of Newtonian physics. Thus we would be living in a spatial 3 dimensional universe with an absolute time that all observers could agree on. This would be a pretty boring place - special and general relativity are much more interesting.
In particular there could be no big bang since the evolution of the universe from then to now relies on general relativity. So, it is hard to imagine what the cosmology of the universe would be like in, say an infinite Newtonian universe that existed for an infinite time in the past. So, the answer to what the observable universe would look like in this case would be pure speculation.
So in this Newtonian mechanics universe, the speed at which photons travel could be infinite or it could be finite (assuming that 2 is true or false). A finite light speed is not anything special. That is what physicists thought was true up until special relativity was discovered. Before Einstein, physicists thought that there was an "aether" medium that light propagated in and that depending on your speed relative to that medium you would measure different velocities for light.

So now let's consider case 2 where the actual speed of light itself was infinite. Well, an infinite light speed means that even more physics is wrong. For example, Maxwell's equations have to be wrong since those equations showed that light would travel at a finite speed. So without Maxwell's equations, who knows if optics or telescopes are even possible to permit us to "look" at the universe. But again since we cannot figure out what the cosmology for this Newtonian physics universe, there is not much that can be said about what this universe would "look like".



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