Consciousness as a Boundary of Logical-Fractal Resonance: A Quantum-Fractal Unified Field Approach
Enrique Vidal Silvente
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AI-extracted from the abstract| Characteristics | Theoretical or philosophical paper |
|---|---|
| Key points | The authors propose a unified mathematical framework in which a boundary operator R = Q ⊗ F α ⊗ L is self-adjoint, has compact resolvent, and possesses a discrete spectrum of exponentially localized "conscious modes." They derive error bounds for numerical approximation on finite fractal meshes and prove convergence of eigenvalues and eigenvectors. |
Abstract
We present the Quantum–Fractal Unified Field framework, which integrates quantum coherence, fractal neural geometry, and logical algebra into a single boundary operator R = Q ⊗ F α ⊗ L. We establish that R is self-adjoint, possesses a compact resolvent, and admits a purely discrete spectrum of exponentially localized “conscious modes.” Moreover, we derive explicit error bounds for the numerical approximation of R on finite fractal meshes (e.g., the Sierpinski gasket) and prove convergence of both its eigenvalues and eigenvectors.