UAT/UCP Framework - July 2026 Development Archive: Causal Saturation, Unified Action, Causal Mass Gap Scales and Correction Notice - Instructional Version

Abstract

This Zenodo record compiles the July 2026 development stage of the Unified Applicable Time (UAT) and Unified Causal Principle (UCP) framework by Miguel Angel Percudani, Independent Researcher, Puan, Buenos Aires, Argentina, ORCID 0009-0007-1748-3212. IMPORTANT NOTE: This is a historical development from JULY 2026 uploaded for instructional and traceability purposes only. It is NOT the final development. More current and corrected versions exist, in particular the Unified Action S_total = S_bulk + S_boundary + S_coherence DOI 10.5281/zenodo.21433360, where the observable masses are corrected with the geometric projection factor 2*R_geom = 0.558364. The reader must refer to the latest records for the final numerical predictions of 215.6 MeV, 1.71 TeV and 682 TeV. All documents share a single free parameter, the 7% thermal calibration margin phi_*/eta = 0.07, and the constants kappa_crit = 4.978 macro / 1e-78 Planck, k_early = 0.967, R_geom = 0.279182, phi = 1.618034, xi = -0.2810, epsilon = 0.0330. Contents of this archive - 6 documents: Causal Saturation as a Speculative Phenomenological Model: Exploring the Thermodynamic Guillotine within the UAT/UCP FrameworkSpeculative model testing whether R_geom = 0.2791 acts as a limit on coherent superposition. Postulates A(N)=alpha sqrt(N) with alpha = R_geom/sqrt(8) ∼0.0987, excess energy DeltaE = max(0, A^2 - R_geom^2) * M_obs(4) with M_obs(4)=215.6 MeV, dissipated with 7% efficiency. Effective kappa_eff(N)=kappa0 * N/Ncrit with Ncrit=8. Python model included. Result heat 1e-14 to 1e-12 J at QCD scale.New Physics Scales and QCD Signatures from the UAT/UCP Causal Mass Gap Equation E(n)=E_Planck * kappa_crit^(1/n) - Historical VersionOriginal July version presenting pure resonance energies without projection factor: n=4 386 MeV, n=5 3.07 TeV, n=6 1.22 PeV. Derives coherence length lambda_coh ∼5.7 fm and membrane-gluon coupling alpha_mem ∼0.35 comparable to alpha_s. Retained as historical record.Unified Action for the UAT/UCP Framework: S_total = S_bulk + S_boundary + S_coherenceComplete formal derivation with all constants explicitly defined. S_bulk is UAT Lagrangian with k_early = 1/(1 - xi phi_^2)=0.967006. S_boundary is Gibbons-Hawking-York term on truncated 8-phase cycle 348.12 deg deficit 11.88 deg epsilon=0.0330 yielding M_p = M_b * kappa_crit * phi * (1-0.07) = M_b7.4908 and Omega_m_eff = 0.3133 0.55% Planck, Lambda 2.49e-122. S_coherence is Wilson coefficients c_n = kappa_crit^(1/n) * 2R_geom giving M_obs(n) = 2R_geom * E(n): 215.6 MeV = Lambda_QCD 0.65%, 1.71 TeV LHC, 682 TeV seesaw. Includes verification script.The Causal Membrane and the QCD Scale: Why the UAT/UCP Coherence Energy Falls at 386 MeV and Not at the Electroweak ScaleExplains why membrane does not couple to Higgs 125 GeV ratio ∼1e-62. Shows Ecoherence = 386 MeV falls at QCD confinement Lambda_QCD ∼217 MeV, constituent quark ∼300 MeV, pion masses. Interprets confinement as causal filter, relation to chiral symmetry breaking, and connection dark energy vs QCD via exponent of kappa_crit. Provides falsifiable predictions for lattice QCD.New Physics Scales from the Causal Mass Gap Equation: Predictions at 3.07 TeV and 1.22 PeV from kappa_crit = 1e-78Focus on new predictions n=5 and n=6 from same equation with zero free parameters beyond kappa_crit. Full scale table n=1 to 10, hierarchy step factor ∼8000 QCD to TeV. Experimental signatures dijet/dilepton 3.1 TeV, missing ET, VBS at LHC Run3/HL-LHC/FCC-hh 100 TeV, Glashow resonance 6.3 PeV, neutrino spectral features 1.2 PeV, knee/ankle/GZK.CORRECTION DOCUMENT - New Physics Scales and QCD Signatures from the UAT/UCP Causal Mass Gap Equation - Update Notice July 2026This is the formal correction notice included in the July batch. It explicitly states that documents 2 and 5 present PURE resonance energies E(n) without geometric projection. The CORRECT OBSERVABLE MASSES after projection through 8-phase interference diameter 2R_geom = 0.558364 are: n=4 M_obs(4)=215.6 MeV Lambda_QCD, n=5 M_obs(5)=1.71 TeV LHC scale, n=6 M_obs(6)=682 TeV seesaw scale. It declares that this document is superseded by Unified Action DOI 10.5281/zenodo.21433360 and is retained solely as historical record of framework evolution. This correction resolves the previous factor ∼1.78 discrepancy with Lambda_QCD and corrects TeV/PeV predictions.All Python scripts use only NumPy/SciPy and CODATA 2018 and are provided for independent verification.