A geometry of space that satisfies the holographic principle

Arkady Bolotin

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arXiv · 2308.12294

A geometry of space that satisfies the holographic principle

Arkady Bolotin

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Abstract

Conventional wisdom holds that any region of 3-space contains infinitely many points, and the Planck length scale determines the uncertainty in every measurement of distance between two separate points. Against such a backdrop, this uncertainty may be interpreted as resulting from either foaminess or discreteness of 3-space. But, as it is demonstrated in the present paper, neither of those interpretations is consistent with the holographic principle. In the paper it is shown that the statement ``The holographic principle holds true'' and the statement ``Each region in 3-space contains only a finite number of points'' are logically equivalent.

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Arkady Bolotin. 2023-08-02. A geometry of space that satisfies the holographic principle. https://arxiv.org/abs/2308.12294

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