The mathematical description of Spacetime Equilibrium incorporating unit fraction on Loop Quantum Gravity (LQG) and holographic universe

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Abstract

A spacetime fabric made of tiles. Each tile contributes a discrete area (from spin in LQG), has an associated curvature unit 1/n. The total fabric is in equilibrium when the sum of these inverses balances the curvature load.A =∑i =1N ai where ai=8πγℓP2√ji(ji +1) suppose each area bit is associated with a unit curvature contribution ki=1/n. Spacetime equilibrium implies:∑i =1N 1/ni =K (total curvature budget).Each configuration {ni} corresponds to a microstate, and equilibrium corresponds to the most probable distribution of these.In this report,we represent the description of Spacetime Equilibrium incorporating unit fraction on Loop Quantum Gravity (LQG) and holographic universe.

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