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Preprint . 2025
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Preprint . 2025
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https://doi.org/10.2139/ssrn.5...
Article . 2025 . Peer-reviewed
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Preprint . 2025
License: CC BY
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Preprint . 2025
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A Computational Framework for 4D Simplicial Complex Dynamics: Integrating Pachner Moves and Monte Carlo Simulations for Quantum Gravity and Topological Analysis

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2025Publisher:Elsevier BV
Authors: Karazoupis, Miltiadis;

doi: 10.2139/ssrn.5185465 , 10.5281/zenodo.15052875 , 10.5281/zenodo.15052874

A Computational Framework for 4D Simplicial Complex Dynamics: Integrating Pachner Moves and Monte Carlo Simulations for Quantum Gravity and Topological Analysis

Abstract

This paper presents a new Python-based computational framework for simulating 4D simplicial complexes, with direct applications in quantum gravity research and topological data analysis. The framework combines validated Pachner moves, efficient geometric calculations, and Monte Carlo methods to explore discrete spacetime dynamics.

Keywords

Quantum Gravity, Topological Analysis, Computational Physics, Pachner moves, Monte Carlo simulation

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green