Published December 19, 2025 | Version v.1.0
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FRC 100.010 — Foundational Questions in Fractal Resonance Cognition

  • 1. Fractal resonance Labs

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The Fractal Resonance Cognition (FRC) framework proposes that quantum measurement arises from deterministic phase-locking to coherence attractors, with the Born rule emerging as an equilibrium distribution rather than a fundamental postulate. This paper addresses ten foundational questions that arise naturally from the framework: the ontological status of the coherence field, the origin of the drift term, relativistic consistency, the treatment of identical particles, the relationship to decoherence, and experimental signatures that distinguish FRC from standard quantum mechanics. We provide mathematically precise resolutions grounded in information geometry and open-system dynamics, identify the controlled limits where the framework becomes exact, and propose concrete experimental protocols. This document serves as a companion to the FRC 100-series and 566-series, consolidating interpretive choices and anticipated concerns.

Key topics addressed:
- Ontological status of the Lambda-field (effective vs. fundamental)
- Bures-metric gradient flow derivation of the drift term
- Relativistic formulation via local sources
- Born rule from coherence equilibration
- Experimental discriminators: variance scaling, velocity autocorrelation
- Comparison to Copenhagen, Many-Worlds, Bohm, and GRW interpretations

Includes 4 figures illustrating gradient flow dynamics, measurement timeline, experimental predictions, and interpretation comparison.

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FRC_100_010_Foundational_Questions.pdf

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Additional details

Dates

Submitted
2025-12-18

References

  • Zurek, W.H. (2003). Decoherence, einselection, and the quantum origins of the classical. Rev. Mod. Phys. 75, 715.
  • Schlosshauer, M. (2005). Decoherence, the measurement problem, and interpretations of quantum mechanics. Rev. Mod. Phys. 76, 1267.
  • Petz, D. (1996). Monotone metrics on matrix spaces. Linear Algebra Appl. 244, 81-96.