2016/07/28 by Seramika Ariwahjoedi, Ariwahjoedi, Seramika, Valerio Astuti +8 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories #gr-qc
paper · pdf · doi:10.48550/arxiv.1607.08629
18 pages, 16 figures, the information contained in this article was extracted from a doctoral thesis by the author
arxiv created 2016/07/28 · openalex publication_date 2016/07/28 · arxiv updated 2016/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Following our earlier work, we construct statistical discrete geometry by applying statistical mechanics to discrete (Regge) gravity. We propose a coarse-graining method for discrete geometry under the assumptions of atomism and background independence. To maintain these assumptions, restrictions are given to the theory by introducing cut-offs, both in ultraviolet and infrared regime. Having a well-defined statistical picture of discrete Regge geometry, we take the infinite degrees of freedom (large n) limit. We argue that the correct limit consistent with the restrictions and the background independence concept is not the continuum limit of statistical mechanics, but the thermodynamical limit.