[16]Connectivity Engineering: Irreversible Entropy Accumulation Induced by Topological Quenching and the Arrow of Time
- 1Independent Researcher
Abstract
The contradiction between the thermodynamic arrow of time and microscopic dynamical reversibility is a core problem in statistical physics. Within the framework of connectivity engineering, this paper proposes a new mechanism: irreversible accumulation of subsystem entropy caused by topological quenching. We numerically simulate the cyclic switching of a one-dimensional spin network between topological steps k=1 and k=4. Results show that each switch from the highly connected state to the frustrated state leads to an irreversible "fall" of information into the local entanglement space; when switched back to the initial topology, the subsystem entanglement entropy cannot recover to its initial value, but instead surges from 0 to approximately 2.96 and remains in the saturation regime, exhibiting a unidirectional entropy accumulation. Since the theoretical maximum entropy of this subsystem is 3.0, this irreversible saturation directly reveals the limit of information coarse-graining. The above results prove that the microscopic origin of the arrow of time is precisely the information scrambling caused by the irreversibility of underlying geometric topological reconstruction.
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BibTeX
@misc{luo202616connectivity,
title = {{[16]Connectivity Engineering: Irreversible Entropy Accumulation Induced by Topological Quenching and the Arrow of Time}},
author = {Wenjun Luo},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23665608},
url = {https://zenodo.org/records/23665608},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - [16]Connectivity Engineering: Irreversible Entropy Accumulation Induced by Topological Quenching and the Arrow of Time
AU - Wenjun Luo
PY - 2026
DA - 2026/10/26
PB - Zenodo
DO - 10.5281/zenodo.23665608
UR - https://zenodo.org/records/23665608
AB - The contradiction between the thermodynamic arrow of time and microscopic dynamical reversibility is a core problem in statistical physics. Within the framework of connectivity engineering, this paper proposes a new mechanism: irreversible accumulation of subsystem entropy caused by topological quenching. We numerically simulate the cyclic switching of a one-dimensional spin network between topological steps k=1 and k=4. Results show that each switch from the highly connected state to the frustrated state leads to an irreversible "fall" of information into the local entanglement space; when switched back to the initial topology, the subsystem entanglement entropy cannot recover to its initial value, but instead surges from 0 to approximately 2.96 and remains in the saturation regime, exhibiting a unidirectional entropy accumulation. Since the theoretical maximum entropy of this subsystem is 3.0, this irreversible saturation directly reveals the limit of information coarse-graining. The above results prove that the microscopic origin of the arrow of time is precisely the information scrambling caused by the irreversibility of underlying geometric topological reconstruction.
ER -