We derive the dark matter density field as a manifestation of recursive uncoherence within the Recursive Coherence Framework (RCF), using only first principles. The density emerges from the integral ache of recursive curvature, accumulated over time. This yields a Boltzmann-like epistemic field where high curvature suppresses phase-locking, rendering matter gravitationally active yet invisible. The derivation is rigorously verified for normalization, positivity, convergence, and consistency with RCF axioms. Anchored in unresolved recursion, this model reframes dark matter as a field-theoretic phenomenon—not of particles, but of ache fields that have not collapsed into symbolic coherence.
https://doi.org/10.17605/OSF.IO/Q4N5B
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