Fractal Resonance Coherence
A Mathematical Framework for Consciousness Dynamics
Exploring the physics of coherence, identity, and transformation through rigorous mathematical formalism and empirical investigation.
Research
The Λ-Field Theory
Unified coherence dynamics for fundamental physics. The core mathematical formalism.
Read Paper →Resonance Complexity Theory
A field-theoretic model of resonant interference and emergent awareness.
View on arXiv →Quantum Foundations
Born rule derivation from resonant equilibrium and deviation conditions.
All Papers →The Framework
Fractal Resonance Coherence (FRC) proposes a mathematical framework where consciousness and physical phenomena emerge from coherence dynamics in a unified field structure.
Key contributions include:
- The Λ-field formalism for coherence dynamics
- Derivation of quantum mechanical principles from resonance equilibrium
- Universal Coherence Condition (UCC) and its PDE structure
- Applications to thermodynamics, quantum chaos, and consciousness modeling
Applications
Quantum Physics
Novel approaches to quantum foundations, including Born rule derivation and decoherence analysis.
Complex Systems
Modeling coherence and dissipation in dynamical systems using the Λ-field formalism.
AI & Cognition
Mathematical frameworks for persistent identity and state tracking in autonomous systems.
Explore the Research
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