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I want to know whether centripetal force/acceleration is applicable on objects with velocity moving across a curved space-time. For example, if, hypothetically, the universe is a hypersphere, and we lived on its surface-volume, and moved at velocity "v", then is there not a centripetal acceleration of (v^2)/r outward? The "r" would be the radius of the hypersphere, or the age of the universe in meters (converted from seconds in the normal-unit-conversion).

Thus, objects moving at different velocities across different curves cause different distortions and variations in the progress of time.

(Before I continue, I'd like to state a disclaimer that I have not gone past high school physics, and know nearly nothing of theoretical physics. These are all speculations, so forgive me if they seem naive and out of the question.)

Well, if everything I've said thus far is true, including the previous post on the model of the universe, I was thinking maybe relativistic effects concerning an object's speed and its time was simply a higher-dimensional incarnation of the basic concept: centripetal acceleration.

(And though this is an immature method, I am simply hoping that other effects such as the gain of relativistic mass are a secondary effect, or even, illusion, of a higher-dimensional centripetal acceleration. And I am "hoping" because I have not given much thought to these other relativistic effects as of yet, and I don't want to unless this one part concerning the distortion of time is confirmed to be at least "possible".)

Thank you for your time.

- Andrew Cheong -