"New Physics Scales and QCD Signatures from the UAT/UCP Causal Mass Gap Equation"

ACTUALIZACIÓN — UPC: New Physics Scales from the Causal Mass Gap Equation This update to the Unified Causal Principle (UCP) repository presents the Causal Mass Gap equation E(n) = E_Planck × κ_crit^(1/n), which generates a complete hierarchy of energy scales from the single causal coherence constant κ_crit = 10⁻⁷⁸. MAIN RESULT (Punto 3): • n = 5 → 3.07 TeV — New physics scale accessible at the LHC and FCC • n = 6 → 1.22 PeV — New physics scale relevant to neutrino mass generation (seesaw mechanism) and ultra-high-energy cosmic rays • Both predictions use ZERO free parameters beyond κ_crit • Both are falsifiable with current or near-future experiments SUPPLEMENTARY DEVELOPMENTS (Puntos 4 y 5): • QCD coherence length: λ_coh ≈ 5.7 fm — places the causal membrane at the mesoscopic boundary between hadronic and nuclear scales • Membrane-gluon coupling: α_mem ≈ 0.35 — comparable to the strong coupling α_s at hadronic scales, suggesting the membrane interacts with gluons at the same strength as QCD itself The supplementary Python script computes all scales, the coherence length, and the membrane-gluon coupling independently of the digital twin environment. It uses only NumPy, SciPy, and CODATA 2018 constants. Author: Miguel Ángel PercudaniORCID: 0009-0007-1748-3212