Dimensional Analyses of Geometric Products and the Boundary Conditions of the Universe: Implications for a Quantitative Value for the Latency to Display Entanglement

ABSTRACT

We explored the dimensional equivalence of the product of the plane, area, and volume of a circle as well as frequency (2πrf), or 21.3 π⁴r⁷f, when applied to universal boundaries. When this product was set equal to the equivalent powers of the gravitational constant and the mass, age, and width of the universe a “diffusion” velocity of ~10²³ m·s^-1 was derived which matched the ~7 to 8 min associated with non-locality and “entanglement” as indicated by both theoretical estimates for gravitational solitons and empirical inferences for photon coupling. These results suggest that a recondite factor employed to describe a closed geometry (the circle) in three dimensions and time (as frequency) may offer alternative perspectives to quantitative solutions for penetrance of multidimensional space within submass levels. Latency to display universal entanglement may not be instantaneous or continuous but would involve a discrete quantitative value that could have significant implications for physical cosmology.

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