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The macroscopic arrow of time and irreversibility emerge as a statistical-geometric property of the QGEFT vacuum rather than from an inserted asymmetric microscopic law. Novelty: ClaimNovelty.INCREMENTAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

This research investigates how order and entropy in topological vacua give rise to an emergent arrow of time.

May 17, 20260 citationsOpen Access

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The Emergence of the Arrow of Time and Macroscopic Irreversibility in Topological Vacua

YCYaniv Cohen

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This research investigates how order and entropy in topological vacua give rise to an emergent arrow of time.
Analyzed a periodic 4^3 Genesis lattice with N=64 and degree k=6 under Phase 3 Monte Carlo dynamics.
Measured degree-distribution entropy over 8 sweeps to assess stability and entropy changes.
Evaluated the probability of return to the Genesis state with a fixed-edge null baseline.
Entropy rose from S=0 to S_final ≈ 1.885, with peak S_max ≈ 2.086.
The non-decreasing entropy-step fraction was 0.625, indicating substantial disorder.
The probability of returning to the Genesis state dropped significantly to ext{log}_{10} P_{return} ≈ -273.831.

Abstract

A perfectly ordered periodic `4³` Genesis lattice with `N=64` and degree `k=6` is immediately unstable under the existing reversible Phase 3 Monte Carlo dynamics. In the current `8`-sweep benchmark the degree-distribution entropy rises from `S=0` to `Sfinal 1. 885` with peak `Sₘax 2. 086`, the non-decreasing entropy-step fraction is `0. 625`, and the uniform fixed-edge null baseline suppresses exact spontaneous return to the Genesis state down to `₁₀ Pₑ₄ₓₔₑ₍ -273. 831`. The present result supports an emergent macroscopic arrow of time as a statistical-geometric property of the QGEFT vacuum rather than as an inserted asymmetric microscopic law.

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The Emergence of the Arrow of Time and Macroscopic Irreversibility in Topological Vacua

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