Gravity & Magnetism: How Mass Interacts with Space-Time?

Apophenia
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This may seem really elementary or just based on total misconception but can you not explain any pulling force at distances in terms of relative space and time coordinates instead?

Gravity before Einstein: property intrinsic to mass; masses pull each other.
...after Einstein: property intrinsic to space-time; space-time pushes mass or mass just moves through space-time.

Can you not make this analogous to something like magnetism? Although, you would need a ridiculous caveat to ensure it only works in the scope of magnetic objects (or more basically protons/electrons).
 
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Thread 'Can this experiment break Lorentz symmetry?'

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Thread 'A sufficient condition for integrability of equation ##\nabla g=0##'

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