The Point of Creation: A Unified Framework for Generative Self-Governance
Abstract
---New in this version: Added a concise standalone technical note (PDF) that cleanly states the core δ definition, the white-noise floor derivation, and minimal reproducible code.---
---
*Code repository (canonical): https://github.com/UnitedColective/point-of-creation-framework
This version (2.1.0) corrects v2.0.0 (28 Jun 2026). v2.0.0 pointed at a GitHub path that does not exist (UnitedColective/potential-adventure) and shipped a 12.9 kB placeholder PDF. That version remains on the record as history.
The PDF on this version is a one-page deposit note, not the manuscript. Working write-up: PAPER.md in the GitHub repository.
We introduce the Point of Creation Framework (PCF), a domain-agnostic metric for detecting generative self-governance in time series:
δ = ρ₁(Δ²X) + 2/3
where Δ²X is the second difference of any observable scalar sequence and ρ₁ is its lag-1 autocorrelation. The expected value under white noise is exactly −2/3; thus δ > 0 indicates structure above the floor, and δ ≈ 0 indicates collapse to the floor.
We apply this framework across four domains: prime gaps (δ = +0.154, N=3×10⁸, mod-24 clockwise rotation bias of 1.77×, p<0.01), cardiac HRV (NSR δ̄ = +0.029, p=0.002 vs. CHF δ̄ = +0.016, p=0.33, group difference not significant), neural iEEG metastability (superlinear scaling S ~ f^1.746, R²=0.858, n=51 trial-subject pairs, 3 subjects), and circadian gene expression (cancer cells show elevated harmonic phase alignment, p=4.24×10⁻⁴⁴; 8 timepoints preclude direct δ estimation).
The prime gap result is the most robust finding. The cardiac, neural, and circadian results are directional or exploratory and require larger samples and independent replication.
Code and supplemental materials are included for reproducibility:
https://github.com/UnitedColective/point-of-creation-framework
Related
- Faith Framework (v1.0) - Unified Agentic AI Governance for the Indian Financial Sector
- νGundam: A unified framework for point-redshift and probability-density-function-aware spatial correlation functions
- Generative–Inverse Closure: A Unified Framework for Generation, Qualification and Recovery in Adaptive Dynamical Systems
- A unified variational framework for augmented Lagrangian preconditioning of saddle point systems: applications to mixed-dimensional and fictitious domain methods
- Meta-Masked Generative Models: A Unified Framework for Generating, Selecting, and Optimizing Masking Mechanisms
BibTeX
@misc{sterling2026point,
title = {{The Point of Creation: A Unified Framework for Generative Self-Governance}},
author = {A.M. Sterling},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23441782},
url = {https://zenodo.org/records/23441782},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The Point of Creation: A Unified Framework for Generative Self-Governance
AU - A.M. Sterling
PY - 2026
DA - 2026/10/17
PB - Zenodo
DO - 10.5281/zenodo.23441782
UR - https://zenodo.org/records/23441782
AB - ---New in this version: Added a concise standalone technical note (PDF) that cleanly states the core δ definition, the white-noise floor derivation, and minimal reproducible code.--- --- *Code repository (canonical): https://github.com/UnitedColective/point-of-creation-framework This version (2.1.0) corrects v2.0.0 (28 Jun 2026). v2.0.0 pointed at a GitHub path that does not exist (UnitedColective/potential-adventure) and shipped a 12.9 kB placeholder PDF. That version remains on the record as history. The PDF on this version is a one-page deposit note, not the manuscript. Working write-up: PAPER.md in the GitHub repository. We introduce the Point of Creation Framework (PCF), a domain-agnostic metric for detecting generative self-governance in time series: δ = ρ₁(Δ²X) + 2/3 where Δ²X is the second difference of any observable scalar sequence and ρ₁ is its lag-1 autocorrelation. The expected value under white noise is exactly −2/3; thus δ > 0 indicates structure above the floor, and δ ≈ 0 indicates collapse to the floor. We apply this framework across four domains: prime gaps (δ = +0.154, N=3×10⁸, mod-24 clockwise rotation bias of 1.77×, p<0.01), cardiac HRV (NSR δ̄ = +0.029, p=0.002 vs. CHF δ̄ = +0.016, p=0.33, group difference not significant), neural iEEG metastability (superlinear scaling S ~ f^1.746, R²=0.858, n=51 trial-subject pairs, 3 subjects), and circadian gene expression (cancer cells show elevated harmonic phase alignment, p=4.24×10⁻⁴⁴; 8 timepoints preclude direct δ estimation). The prime gap result is the most robust finding. The cardiac, neural, and circadian results are directional or exploratory and require larger samples and independent replication. Code and supplemental materials are included for reproducibility: https://github.com/UnitedColective/point-of-creation-framework
ER -