Newton's laws of motion in 3+1 dimensions ?

In summary, the conversation is discussing the potential influence of time as a fourth non-spatial dimension on gravitational movement. The issue raised is that Newtonian physics relies on coordinates and there are multiple ways to calculate 4D 3+1 hyperbolic-spherical coordinates. The concept of Newton-Cartan gravity is mentioned as a possible solution, but it is ultimately equivalent to Newtonian gravity.
  • #1
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If it were supposed that time were a 4th non-spatial dimension how would it influence the gravitational movement ?

The problem I have when trying to solve this invented problem is that Newtonian physics works in coordinates and that there are a lot of ways to find 4d 3+1 hyperbolic-spherical coordinates.

Which one should be used to start the calculations ?
 
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  • #3
Newton-Cartan gravity however is at the level of dynamics fully equivalent to Newtonian gravity as you know it (to answer the question in the OP).
 
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