R-layer Mode Theory (RLMT) XLIX: Structural Limits of the Standard Model and the Emergent Simplicity of the R-layer Mode Theory

This volume (RLMT) reinterprets the Standard Model as a low‑resolution projection of the R‑layer tension geometry developed in Volume XLI. Quark flavors, leptons, neutrinos, gauge bosons, and the Higgs field emerge from AUP/MUP tension‑mode configurations defined in Appendix X. The apparent multiplicity of elementary particles arises from the projectionσ(x) = Π₄ᴰ[Σ(χ, ξ)]which hides internal structure at 10⁻³⁰–10⁻³⁵ m, far below current accelerator reach.This volume establishes the structural limits of the Standard Model and demonstrates that all 4D particles originate from a single existence mode expressed through tension.