The fact is that which formula we should use depends on the gravitational field. The gravitational field causes the curvature of spacetime. But when we should choose the Theory of General Relativity or Theory of Special Relativity? The curvature of the spacetime must be strong enough that the Theory of General Relativity can give the right answers.
Some people say that the Theory of Special Relativity and the Theory of General Relativity should be renamed oppositely. The Theory of General Relativity handles particles' behavior in strong gravitational fields or curving spacetime. The Theory of Special Relativity handles the behavior of particles in a weak gravitational field or straight spacetime.
The idea of curvature of spacetime means that every single material particle is in a gravitational pothole. And the curvature of spacetime is like the edge of the pothole.
The theory of Relativity is two theories.
1) Theory of Special Relativity is a suitable tool for calculating speed in straight spacetime.
2)Theory of General Relativity gives the right answers when the particle is in the strong gravitational field.
In straight spacetime, the Theory of Special Relativity is a useful tool. So in a weak gravitational field, the Theory of Special Relativity is still an effective tool. But when the pothole that gravitation makes is deep enough the Theory of General Relativity turns to get the effect in calculations.
Some people say that we need a new gravitational theory. But for that theory should be some kind of evidence. And the remarkable thing is that those two theories that were made in 1905 and 1916 are still unbreakable. Maybe quantum computers and new telescopes are finding errors in those brilliant masterpieces.
See also:
Theory of General Relativity
Theory of Special Relativity
A couple of writings of black holes
An interesting idea of the formula E=mc^2
When we are thinking about the formula E=mc^2
E=Energy
m=Mass
c=the speed of light
Does that formula note the situation where an object itself moves to a speed that is near the speed of light and there will impact more energy? In the case, where the object orbits a black hole just at the point of the event horizon, its speed can increase the speed of light.
And then there is coming energy impulse from the side of the object. That thing causes the energy level will rise to the level. That is higher than the object gets at the speed of light. That energy impact is called the virtual cross of the speed of light. In real life that impact will push objects inside the black hole.
In the cases that the escaping velocity is higher than the speed of light, the speed of photons and other particles is the same. When the particles are inside the event horizon. They are all traveling at the same speed. And if we think that the speed is also the relative thing. That depends on the difference in the speed of the objects. So if the speed of photons and other objects is the same the difference between their speed is zero.
So relatively saying the behind the event horizon speed of a photon is zero if we compare it with the speed of other objects. In black holes is not speed like we think that thing. And behind the event horizon or the point where escaping velocity turns higher than the speed of light. All objects and wave movements travel in the same way with the same speed.
What if we would drop in the black hole? The thing that makes black holes different than other places in the universe is that all movement travels to the direction of the center of the black hole.
So in the black hole, all particles are traveling in the same direction with the same speed. That means there is no mutual speed between them. That kind of situation is impossible in our universe. There is always radiation that comes to us or that comes sideways.
But if we want to think about the situation that all particles are traveling at the same speed in the same direction we would not see the person who is in front of us. Or we cannot see either the person who is behind us. All objects in that strange world would be alone.
Because photons and wave movement are sent from them are surrounding those objects. Because everything travels at the same speed even photons cannot reach an object. That is behind or ahead of the object then sends radiation.
If an object is diagonally angled to the movement direction of the observer. There is the possibility that the observer can see the photons that are seen sideways or horizontally against the trajectory.
Or if we know that there is some object at the side of us can touch that object. But we cannot see that object because the photon cannot reach us. We could see the flash from the object that is diagonally ahead of us. The reason for that is that the photon that moves sideways or follows the track that is the cone can impact us.
If we are thinking the case that the particle is traveling with the speed of a photon. And we want to compile the speed of light with the speed of the object that travels with the same speed with photons the difference between the speed of photons and other particles is zero.
And that means if the object travels with the speed of photons. There is no interaction between the object and photons. The photons and wave movement cannot reach the object and the wave movement can escape from the object only sideway to its track.
Or the gravitational field of the object can pull the particles and wave movement to its core by curving the wave movement that travels on the side of the object. This is the key element when we try to analyze what happens in the strange world inside the black hole.
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