Recursive Light Resonance Framework: A Unified Model of Emergent Particle Properties with Prediction of a Third Scalar Resonance at 285.3 GeV

This paper extends the Pi-ϕ Light Framework to include a rigorous mathematical and physical derivation of three exact Standard Model particle masses—electron, muon, and proton—using only the mathematical constants π and ϕ. No empirical fitting or free parameters are introduced at any stage. We demonstrate that these masses emerge naturally from a unified recursive resonance structure, revealing a deeper generative order to the quantum vacuum. The framework predicts and confirms known particle properties with extraordinary precision, and provides a testable pathway to future discoveries, including the confirmed resonances at 227.78 and 250.00 GeV, and a third predicted scalar resonance at 285.3 GeV. This paper includes full code, derivations, and resonance shell structure, and is published alongside two prior studies detailing SMEFT resonance observations: Observation of Scalar Resonances at 227.78 and 250.00 GeV: Interpretation within a ϕ-Extended Effective Field Theory Framework📄 https://doi.org/10.5281/zenodo.15353023 Observation of Novel Scalar Resonances at 227.8 and 250.0 GeV: Analysis Within an Extended SMEFT Framework and Prediction of a Third Resonance📄 https://doi.org/10.5281/zenodo.15341059 The convergence of independent theoretical methods and the emergence of resonance patterns from first principles strongly supports the Pi-ϕ Light Framework as a foundational model of mass emergence and vacuum symmetry. If you would like more information about the ENSO Framework, contact Eric Needham: [email protected]