Tuesday, 14 March 2023

Statistical Geometry Representation of Spacetime | Chapter 7 | New Frontiers in Physical Science Research Vol. 9

 It is pretended that the spacetime is composed by events and maybe explained by incompletely ordered set (causal set). The person events innate two kinds of children. Some adolescents have a causal connection with their parents and additional kinds destitute. It is assumed that evolution of the state is only happen for one causal children. The pretended population maybe modeled by finite (limitless) dimension Leslie origin. In both finite and limitless cases, it is shown that the fixed state of the population always survives and the matrix has helpful eigenvalues. By finding the relation betwixt the statistical news of the population and the stationary state, a possibility matrix and a Shannon-like deterioration is defined. It is shown that the change in deterioration is always quantized and beneficial and in consequence, the world is inflating. We show that the emptiness energy maybe attributed to the necessary finished work for maintaining the causal relation betwixt the parents and the adolescents (cohesive energy). By provided that the sum of united energy and kinetic energy of the denumerable fresh spacetime is equal to the heat, that flows across a causal horizon, we find the connection between strength-momentum tensor and discrete Ricci tensor that can be named the Einstein state equation. Finally, it is shown that the neverending of proportionality  'tween the entropy and the area is equivalent to kB/J2p  at Planck scale which is in good understanding with the Hawking’s result.

Author(s) Details:

Hamidreza Simchi,
Department of Physics, Iran University of Science and Technology, Narmak, Tehran 16844, Iran.

Please see the link here: https://stm.bookpi.org/NFPSR-V9/article/view/9856

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