Propagation Arrest and the Completion of 𝐸 = 𝑚 𝑐 2 : A Finite, Operator-Aware Alternative to Renormalized Quantum Field Theory

This paper presents a finite, non-renormalized quantum framework whose internal consistency is established algorithmically rather than rhetorically. The framework replaces the methodological foundations that necessitate renormalization by constructing a theory in which divergences never arise and errors cannot be silently absorbed. The approach is based on: an explicit ontological separation of physical regimes (vacuum, interaction, and interface layers), geometric vacuum eigenvalues derived from the constants π,φ,e - pi- the golden ratio- eulers number and interaction operators (QCD, electroweak, Higgs) that are computed, not fitted. Mass is reinterpreted as propagation arrest of vacuum energy rather than an intrinsic particle property, completing Einstein’s relation E=mc2E = mc^2E=mc2 by identifying mass as a constrained manifestation of vacuum dynamics. A fully reproducible, operator-aware validation script accompanies the theory. The script performs systematic ablation tests comparing: vacuum-only predictions, and vacuum predictions dressed with Trinity-derived interaction operators. Results show a reduction in mean mass prediction error from ~22% (vacuum only) to ~5% (operator-aware), with sector-specific improvements that align precisely with known physical interactions: QCD operators affect only quarks, electroweak operators affect all Standard Model particles, Higgs operators affect only the heavy sector (top, WWW, ZZZ, Higgs). No operator improves sectors it does not physically couple to, ruling out parameter fitting or cross-contamination. Several particles achieve sub-percent accuracy, including a 0.03% prediction for the strange quark mass. All operator values are fixed by geometry or established PDG constants, with zero adjustable parameters beyond a single calibration scale. The framework is structurally over-constrained, explicitly falsifiable, and mechanically self-auditing. While not claimed as a final theory, it establishes a standard for theoretical honesty: physical models must be finite by construction, resistant to parameter tuning, and capable of algorithmically validating their own internal consistency. This restricted upload timestamps the current version for priority and archival purposes prior to further figure refinement and public release. For further information about the ENSO Framework, please contact Eric Needham: ensotheory1@gmail.com Licenses Creative Commons Attribution Non Commercial No Derivatives 4.0 International