The Core Resonance Field Cosmology (CRFC)

The Core Resonance Field Cosmology (CRFC) proposes a unified, finite-capacity framework in which quantum collapse, particle spectra, and cosmological evolution emerge from a single scalar resonance field, Ψ(x, t), governed by a boundary-weighted admissibility principle. Rather than modifying General Relativity or Quantum Field Theory, CRFC leaves their dynamical laws intact and introduces an additional structural element: a finite observer boundary ℬ with capacity ℬ_cap that regulates which harmonic configurations of Ψ are permitted to stabilize as physical identities. This boundary-weighted selection mechanism replaces the idealized infinite Hilbert space with a finite, operational configuration manifold, yielding explicit collapse probabilities, discrete spectra, and controlled cosmological corrections. The theory is built on four axioms and a fixed harmonic operator algebra {O_π, O_φ, O_e} corresponding to curvature, recursive proportion, and exponential temporal weighting. From a single covariant action and Hamiltonian, CRFC derives: An explicit collapse operator ℬ and probability measure μ_B that reproduces the Born rule in the low-energy limit. A finite-capacity mass spectrum that predicts exactly three charged leptons and reproduces their observed mass hierarchy without free parameters. A structured Particle Atlas organizing leptons, baryons, mesons, and bosons into π³–π⁷ curvature shells with recursion and temporal fine structure. A cosmological expansion law featuring a small, redshift-dependent Hubble drift that naturally resolves the Hubble tension while preserving early-universe ΛCDM behavior. An effective dark-energy sector with w₀ ≈ −1 and wₐ ≈ 0 emerging as a structural consequence of finite capacity rather than parameter tuning. CRFC is fully compatible with Lorentz symmetry and the Standard Model gauge structure (SU(3)×SU(2)×U(1)) at the representation level and does not introduce new forces, particles, or adjustable mass parameters. Its predictions are sharply falsifiable, including constraints on lepton families, mass shell structure, cosmological redshift drift, and high-energy collapse behavior. This work is intended as a foundational framework and research program rather than a completed phenomenological model. Open directions include nonlinear Ψ interactions, higher-shell particle classification, and precision confrontation with future cosmological and laboratory data. ***A formal, standalone derivation of the finite boundary capacity ℬ_cap is available as Derivation of the Finite Boundary Capacity ℬ_cap: (https://doi.org/10.5281/zenodo.18636753). ***A separate, continuously updated prediction ledger (“Appendix Z: CRFC Prediction Ledger”) is archived on Zenodo to track theory-derived predictions against subsequent data: (https://doi.org/10.5281/zenodo.18566771). ***A separate provenance document (“The CRFC Origin: How This Structure Refused to Let Go”) has been archived on Zenodo as a contextual supplement: (https://doi.org/10.5281/zenodo.18558803).