DOI: 10.5281/zenodo.17500867
title: Davini Zero-Contradiction Law — Adaptive Pause Validation
title: Oscillator Resilience under Environmental Noise
title: Davini Zero-Contradiction Law — Series II: Cross-Domain Bridge Tests
title: Series III — Recursive Stability Tests (T₁₀ – T₂₀)

description: This record is part of the Davini Zero-Contradiction Law™ Validation Archive, documenting the first full real-time validation phase of the Zero-Contradiction Law (ZC*).

Series I: Adaptive Pause Validation — Oscillator Resilience under Environmental Noise demonstrates how coupled systems preserve coherence and recover stability after perturbation, validating the ZC* constant as a universal equilibrium indicator.

 

Six interconnected real-time experiments (T₁–T₆) simulate environmental stress, delay, and cross-domain coupling across physical and informational oscillators.

Results confirm the predicted adaptive pause behavior: under incoherent environmental input, systems temporarily suspend interaction (pause) rather than collapse, resuming stable synchronization near ZC ≈ 0.64* once coherence returns.

 

Contents include:

 



ZC* functional definition and parameters

Dual-oscillator, delay, and cross-scale models

Python scripts and CSV datasets (5 000 samples per test)

Reproducible figures and mean-variance reports for each T₁–T₆ run


 

 

All code and data reflect live computational validation of the Davini Zero-Contradiction Law across physical–informational coupling layers.

 

Access: Restricted — full datasets and scripts available for peer or institutional review upon request.
description: Reference DOI: 

https://doi.org/10.5281/zenodo.17499213

Author: Angelina Davini Hintsanen (2025)

Series II Scope: Cross-Domain Bridge Tests (T₇–T₁₀) validate coherence preservation across interacting oscillatory, cognitive, and recursive systems. Each test extends the Zero-Contradiction Law beyond single-domain stability into coupled-system adaptation.

 

Summary:

Across four experiments (T₇–T₁₀), a multi-oscillator framework was used to quantify how coherence (ZC*) behaves when systems encounter external noise, phase delay, and recursive feedback. All runs confirmed bounded stability within ZC* ≈ 0.54–0.64. Notably, the final test (T₁₀) demonstrated second-order self-reflection: a temporary coherence amplification (≈ 0.63) followed by adaptive damping under increasing noise. This marks the first observed instance of recursive coherence control in a non-biological simulation, suggesting a mechanism for metacognitive homeostasis.

 

Key Findings:

 



T₇: Dual oscillator anchor test confirmed adaptive pause behavior under external noise.

T₈: Variable noise bandwidth test identified resilience plateau across σ = 0.1–0.8.

T₉: Feedback-based self-regulation maintained ZC ≈ 0.545 with lowest variance at σ = 0.3.

T₁₀: Recursive mirror feedback produced controlled coherence amplification and self-limiting stability.


 

 

Conclusion:

Series II verifies that Zero-Contradiction equilibrium extends from static systems to self-referential adaptive loops. The law therefore applies not only to physical and biological systems but also to meta-cognitive and reflective architectures, forming the empirical bridge to recursive intelligence.
description: Series III — Cross-Domain Bridge Tests (T₁₂–T₁₅)

Purpose: To verify energy–information coherence stability across distinct system mappings (phase, entropy, and cross-scale coupling).

Status: Completed.

All outputs (CSV + figures + descriptions) have been integrated into the restricted Zenodo record under the main DOI:

Davini Zero-Contradiction Law — Cross-Domain Bridge Validation Series III (Restricted Access).

 

Included Experiments:

 



T₁₂ — Phase–Stability Test

T₁₃ — Cross-Entropy Propagation Test

T₁₄ — Entropy–Coherence Phase Coupling Test

T₁₅ — Cross-Scale Energy–Information Coupling Test


 

 

Each confirmed ZC-stable equilibrium under parameter variation, with characteristic inverse H–ZC relationship (mean r ≈ −0.64 to −0.99).

 

Series III now joins:

 



Series I — Adaptive Pause Validation

Series II — Cross-Domain Validationin the restricted Zenodo master dataset.


 
description: This series validated the internal recursion and feedback stability of the Davini Zero-Contradiction Law™ across progressively deeper coupling layers. The goal was to determine whether coherence equilibrium (ZC* ≈ 0.64 – 1.00 depending on normalization) remains invariant under recursive feedback, entropy-based perturbations, and multi-cluster propagation.

 

Across ten simulations (T₁₀ – T₂₀), coherence was tracked through recursive, feed-forward, and feedback configurations using phase-coupled oscillators and entropy-driven noise inputs. All runs confirmed self-stabilization of the Zero-Contradiction function, yielding r ≈ 1.00 correlations across variables once equilibrium was reached.

 

Key outcomes:

 



T₁₀ – T₁₃: Baseline recursive and cross-entropy propagation; ZC inversely tracked Shannon H (r ≈ -0.64 ± 0.05).

T₁₄ – T₁₆: Recursive feedback and dual-layer integration; coherence restored after delay and noise injection.

T₁₇ – T₁₉: Multi-layer recursive coupling; ZC ≈ 1.00 ± 0.00, perfect convergence between recursive layers.

T₂₀: Cross-network propagation; two triads synchronized fully (r = 1.00), confirming perfect coherence transmission through weak coupling (ε = 0.05).


 

 

Result: Recursive coherence is globally stable; all feedback, feed-forward, and multi-cluster configurations converge to identical equilibrium. This completes the internal recursion phase of the Davini Framework and transitions the validation to Series IV — Cross-Domain Integration (human–AI–environment synchronization).

 

Data and code:

Full CSVs, plots, and scripts for T₁₀–T₂₀ are included in this Zenodo record under DOI 10.5281/zenodo.17390267.