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I got this idea from Einstein's insight using the falling elevator. He says, that Gravity really cannot be distinguished from any other force accelerating the elevator.

A bunch of questions on here (such as Can all fundamental forces be fictitious forces?, Why do we still need to think of gravity as a force? and Why is gravity such a unique force?) concern whether gravity is like the other forces. The answers seem to suggest that really gravity and the other forces are very much alike: all four forces can be described in geometrical ways (Yang-Mills) and all are transmitted in fields with light-speed.

My question thus is, whether the other 3 forces also warp space-time somewhat in the same way that gravity does?

And, imagine we were magnetical and we were living on a big magnet pulling us down exactly like gravity does, would the magnetical force close to the magnet also "slow down" our time (as in gravity: being close to heavy objects makes time run slower in relation).

Qmechanic
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John Smith
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The curvature in a Yang-Mills field is completely different from the curvature in general relativity - perhaps I should have made this more explicit in my answer to Can all fundamental forces be fictitious forces?

In a Yang-Mills field the curvature is in a mathematical object called a connection. If you are interested the Wikipedia article on the Yang-Mills equations gives a good summary of this, but I'm afraid it will be completely opaque to anyone who hasn't studied differential geometry.

The bottom line is that the EM, weak and string forces are not due to any curvature in spacetime and therefore do not directly cause anything analogous to gravitational time dilation. The reason I included the word "directly" is because all forms of energy contribute to the gravitational field, so any energy associated with the three forces will contribute to the gravitational field.

John Rennie
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