Based on Prof. Bekenstein and Prof. Hawking, the black hole maximal entropy , the maximum amount of information that a black hole can absorb, beyond its event horizon is proportional to the area of its event horizon divided by quantized area units, in the scale of Planck area (the square of Planck length). This quantization in entropy and information in the quantized units of Planck area leads us to the assumption that space is not “smooth” but rather divided into quantized units (“space cells”). Although the Bekenstein-Hawking entropy equation describes a specific case regarding the quantization of the 2D event horizon, this idea can be generalized to the standard 3 dimension (3D) flat space, outside and far away from the black hole’s event horizon. In this general case we assume that these quantized units of space are 3D quantized space “cells” in the scale of Planck length in each of its 3 dimensions. If this is truly the case and the universe fabric of space is quantized to local 3D space cells in the magnitude size of Planck length scale in each dimension, than we assume that there must be extra non-local space dimensions situated in the non-local bordering’s of these 3D space cells since there must be something dividing space into these quantized space cells. Our assumption is that these bordering’s are extra non local dimensions which we named as the “GRID” (or grid) extra dimensions, since they look like a non-local 3D grid bordering of the local 3D space cells. These non-local grid dimensions are responsible for all unexplained non-local phenomena’s like the well-known non-local entanglement or in the phrase of Albert Einstein “spooky action at a distance” .So by proving that space-time is quantized we prove the existence of the non-local grid dimension that divides space-time to these quantized 3D Planck scale cells.
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