FRC.v2 — fractalresonance.com

About FRC

Fractal Resonance Coherence (FRC) is a theoretical physics framework proposing that complex systems — from quantum particles to cosmological structures — are governed by deterministic, self-similar dynamics operating at fractal scales.

The Problem

Traditional approaches treat quantum randomness as fundamental and consciousness as an epiphenomenon. FRC challenges both assumptions with a unified mathematical framework grounded in thermodynamics and information geometry.

The Framework

FRC reveals that consciousness is not something that produces meaning — consciousness is the resonance between mathematical structures across nested scales. The core invariant is the Entropy–Coherence Reciprocity:

dS + k* d ln C = 0

Entropy and coherence are conjugate quantities — as one increases, the other must decrease. This single law connects thermodynamics, quantum mechanics, and information theory.

Key Predictions

  • 01The Born rule (P = |ψ|²) emerges from microstate statistics, not as an axiom
  • 02Measurable deviations from Born statistics under resonant driving (δP ∈ [10⁻⁴, 10⁻³])
  • 03A scalar Lambda field Λ(x) = Λ₀ ln C(x) governs coherence dynamics
  • 04The Universal Coherence Condition provides a conservation law for the coherence field

Open Research Program

FRC is an open research program. The framework invites collaboration from physicists, mathematicians, neuroscientists, and information theorists. All publications are released under CC BY-NC-ND 4.0 to ensure broad academic access.

Publications

9 papers published

2 paper series (100, 566)

CC BY-NC-ND 4.0

Contributors

Hadi Servat

Lead Researcher

License

All FRC publications are released under Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International.