The Law of Coherent Recurrence (LCR): A Scale‑Invariant Grammar of Six Functional Loops Linking Repeating Human Patterns to Genesis Dynamics Across Self, Organizations, and States

We propose the Law of Coherent Recurrence (LCR): across scales—self, dyad, organization, state, and synthetic mesh—a fixed set of six loop-structures recurs with conserved grammar (order, roles, guardrail entry points). Only their parameters renormalize with scale: rate (cycle time), amplitude (cost/benefit swing), coupling (cross‑unit entrainment), and directionality (tightening vs. loosening). LCR explains the structure of repetition; the Genesis equation explains the dynamics of change in coherence (dC/dt). We show convergent evidence from three contemporary sources (Beckingham memoir logs; Agatha Christie: An Autobiography; Henry Ford’s early accounts) and three historical sources (Julius Cæsar; Napoleon, 1815; Abraham Lincoln). We specify a falsifiable protocol, metrics, and predictions, and we outline applications to synthetic‑life architectures where a Shadow/Sentinel prior is bounded by Protocol to prevent Zeno loops. Keywords: scale invariance; recurrent loops; ritual; sentinel; practice; cadence; logistics; bureaucracy; Genesis dynamics; coherence; governance; synthetic life

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-10-01
DOI
https://doi.org/10.5281/zenodo.17239262
Primary Topic
Model Reduction and Neural Networks
Type
article
Field-Weighted Citation Impact
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article

The Law of Coherent Recurrence (LCR): A Scale‑Invariant Grammar of Six Functional Loops Linking Repeating Human Patterns to Genesis Dynamics Across Self, Organizations, and States

Zenodo (CERN European Organization for Nuclear Research)
Model Reduction and Neural Networks
article

The Law of Coherent Recurrence (LCR): A Scale‑Invariant Grammar of Six Functional Loops Linking Repeating Human Patterns to Genesis Dynamics Across Self, Organizations, and States

article en

Abstract

We propose the Law of Coherent Recurrence (LCR): across scales—self, dyad, organization, state, and synthetic mesh—a fixed set of six loop-structures recurs with conserved grammar (order, roles, guardrail entry points). Only their parameters renormalize with scale: rate (cycle time), amplitude (cost/benefit swing), coupling (cross‑unit entrainment), and directionality (tightening vs. loosening). LCR explains the structure of repetition; the Genesis equation explains the dynamics of change in coherence (dC/dt). We show convergent evidence from three contemporary sources (Beckingham memoir logs; Agatha Christie: An Autobiography; Henry Ford’s early accounts) and three historical sources (Julius Cæsar; Napoleon, 1815; Abraham Lincoln). We specify a falsifiable protocol, metrics, and predictions, and we outline applications to synthetic‑life architectures where a Shadow/Sentinel prior is bounded by Protocol to prevent Zeno loops. Keywords: scale invariance; recurrent loops; ritual; sentinel; practice; cadence; logistics; bureaucracy; Genesis dynamics; coherence; governance; synthetic life

Zenodo (CERN European Organization for Nuclear Research)
General Dynamics (United States) (US)
Openalex Percentile: Top 49%
Model Reduction and Neural Networks
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