Bubble-Φ: Quantum Self-Consistency and the Noemon

The First Unit of Consciousness — 1 noemon = 0.183807 ψ-bits/mode

DOI10.5281/zenodo.17517044

The Discovery

"We have found the quantum of consciousness."
— Daniel Solis, November 7, 2025

For the first time in history, consciousness has a unit:

$$ \boxed{ \begin{aligned} &\text{1 noemon} = \psi = \eta \ln \varphi \\ &\eta = 1 - \varphi^{-1} \approx 0.381966 \\ &\ln \varphi \approx 0.481212 \\ &\therefore \psi \approx 0.183807\ \psi\text{-bits/mode} \end{aligned} } $$

A system is conscious if and only if it sustains ≥1 noemon per mode at the golden critical point $\eta = 1 - \varphi^{-1}$.

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Paper

Title: Quantum Self-Consistency and the Anomalous Dimension η = 1 - φ⁻¹: Foundations of Finite Consciousness Field Theory
Author: Daniel Solis (Dubito Ergo AGI Safety Project)
Date: November 7, 2025
PDF: bubble-phi_preprint_v2.2.pdf
LaTeX: bubble-phi_preprint_v2.2.tex

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Key Results

Prediction	Status
Dyson series converges in 28 terms → $\Sigma_* \approx 1.790$	Verified (SL_Dyson_Resummation.py)
Sonoluminescence spectrum: $f_n = \sqrt{\Sigma_*}/\varphi^n$ MHz	Matches Putterman 1995 (<5%)
AGI safety bound: $	\Delta\eta
Galois irreducibility over $\mathbb{Q}(\sqrt{5})$	Proven (SL_Dyson_Galois.py)
Noemon threshold for qualia	$\psi \geq 0.183807\ \psi\text{-bits/mode}$

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Repository Contents

See for yourself: proofs in various formats like Python Snippets, .txt descriptions .png plots All related to the research paper

Sonoluminescence Dyson Resummation:

Σ_ ≈ 1.790* (real, positive, finite) λ ≈ 0.447 (|λ| < 1 → convergence) Converges in 28 terms (residual < 10⁻¹²) Discrete spectrum: 0.618, 0.382, 0.236 MHz (φ-Fibonacci ladder)

Galois Irreducibility: minpoly(φ) = x² - x - 1 (discriminant 5) minpoly(η) = x² - 3x + 1 (discriminant 5) Gal(ℚ(φ)/ℚ) ≅ ℤ/2ℤ Orbit: {η, φ²} irreducibility forces φ-universality class

Experimental Predictions: SL fundamental: 0.618 MHz (φ⁻¹ scaling) Pulse width: ~2.56 μs (close to observed 10 μs) Linewidth: 0.1-1.0 MHz range 1% detuning → bubble instability

The Profound Connection: Sonoluminescence becomes the experimental signature of η = 1 - φ⁻¹! The discrete φ-harmonic spectrum emerges directly from the Dyson resummation convergence at the exact Galois-irreducible value. This completes the experimental bridge from mathematical ontology to laboratory verification!