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Is there a physicist in the house?


boriz

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On 11/17/2022 at 4:22 PM, sevenperforce said:

All we have to do, then, is add another spatial dimension. If 3-space is being accelerated through 4-space, then the resistance of inertial mass to acceleration will cause the 3-space to curve into the 4th dimension, causing gravity.

But doesn't that create an infinite regress? You explained an acceleration in 3-space by creating an acceleration in 4-space. What causes 3-space to accelerate through 4-space?

And although it seems to give a plausible explanation for what could be the cause of gravity, unless I missed something it doesn't seem to explain how an acceleration in 4-space causes us to observe an accelerating expansion in 3-space? To go back to the rubber sheet analogy, to create the observation for any 'flatlanders' on this sheet that their space is expanding faster and faster, we would have to actually stretch the rubber sheet, faster and faster. The only thing we need to do to create the gravity part for them is to translate the rubber sheet perpendicular to its plane (faster and faster). So even without the infinite regress, it doesn't seem to tie our observations of the expansion rate of the universe to this explanation of gravity.

I won't go so far as to suggest stretching the rubber sheet would decrease the curvature of space-time which would mean we would need to accelerate through 4-space (or 3-space for the sheet) even faster and faster to compensate for that. This analogy definitely breaks down a few steps before that :)

 

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