The SymC Foundations repository contains the core theoretical works underlying the Symmetry of Criticality (SymC) framework. SymC describes a universal stability structure centered on the critically damped boundary χ = 1, governing adaptive behavior across quantum, biological, cosmological, and informational systems.
This repository includes only the foundational theory papers. Domain-specific applications (medicine, markets, seismology, oncology, cognition) are maintained separately.
| Title | Description | |
|---|---|---|
| SymC Postulate (v3) | Defines the universal χ = 1 boundary and exceptional-point structure. | |
| SymC Noughts | Introduces substrate noughts as carriers of inherited structure. | |
| Closing Critical Gaps (v)* | Formalize Chi boundary relationship in electron, quarks, and neutrinos. | PDF / Supps |
| SymC AIF | Connects SymC structure to predictive processing and active inference. |
| Title | Description | |
|---|---|---|
| SymC Lindblad (v4) | Exceptional points, open quantum systems, and critical damping geometry. | PDF / Supps |
| SymC and the QFT (v2) | χ-structure in quantum field relaxation and boundary layers. | |
| SymC Neutrinos | Matter-induced dephasing effects in neutrino flavor oscillations with exact vacuum unitarity. |
This repository is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0). See the LICENSE file for details. SymC is based on the dimensionless damping ratio:
χ = γ / (2|ω|)
At the critical value χ = 1, systems reach:
- maximal information efficiency
- coalescence of propagator poles
- fastest monotone relaxation
- the transition between underdamped and overdamped regimes
Stable adaptive behavior occurs within 0.8 ≤ χ ≤ 1.0, while deviations lead to instability or rigidity.
This structure appears across quantum dissipation, cosmology, inheritance systems, and adaptive control, arising from general linear stability principles.
- Consolidates all foundational SymC theory papers
- Maintains stable versioned PDF releases
- Hosts supplementary derivations and materials
- Provides a coherent base for domain-level SymC applications
Zenodo (all releases): https://zenodo.org/communities/symc-universe/
ResearchGate: https://www.researchgate.net/profile/Nate-Christensen-2
All works are free for academic use. Cite the DOI associated with each paper.
Nate Christensen
Independent Researcher
SymC Universe Project