Preliminary LHFT Research Program on Standard-Model Gaps, Candidate Normal Forms, and Open Closure Targets

Status: closed normal forms ≠ candidate structures open ≠ microscopic proof targets Koide, Alpha, and the Charged-Lepton Mass Sector in LHFT Program for Closing Standard-Model Gaps Using LHFT Research Program Module 1: Charged-Lepton Flavor Closure Module 2: Radius and Flavor Phase of the Charged-Lepton Sector Module 3: Structural Origin of the Charged-Lepton Scale and Flavor Phase Module 4: Numerical Scan for Structural Forms of Rℓ and φℓ Module 5: Alpha-Coupled Mass-Scale Constraint and Tau-Readout Residual Module 6: Structural Model for Δτ^(K−αm) Module 7: Candidate Derivation of Ξτ Module 8: Numerical Audit of the Ξτ Expansion Module 9: Structural Origin of the Tau Residual Coefficients Module 10: Reconstructing the Charged-Lepton Mass Vector from Koide, Alpha, and the Tau Residual Module 11: From Charged-Lepton Masses to Yukawa Couplings Module 12: Higgs Scale and Electroweak Vacuum Closure Module 13: Electroweak Mixing Angle and U(1)diag Embedding Module 14: Non-Abelian Gauge-Origin Program — SU(2)L and SU(3)c Module 15: Hypercharge, Electric Charge, and Projection Consistency Module 16: Gauge Anomaly Cancellation as Zero-Defect Projection Consistency Module 17: Three Generations as Flavor-Branch Closure Module 18: CKM and PMNS Mixing as Relative Projection Frames Module 19: Neutrino Sector, PMNS Closure, and Mass Suppression Module 20: QCD, Confinement Scale, and Proton Mass Anchor Module 21: Higgs–QCD–Alpha Scale Triangle Module 22: Strong CP Problem as Projection-Phase Defect Module 23: Standard-Model Parameter Ledger in LHFT Module 24: Publication-Level Closure Map Module 25: Charged-Lepton Normal Form in Yukawa Space Module 26: Alpha-Driven Ansatz for the Charged-Lepton Yukawa Radius Rᵧ Module 27: Numerical Audit of the Alpha-Driven Charged-Lepton Yukawa Radius Module 28: Structural Candidate for the Charged-Lepton Flavor Phase φℓ Module 29: Numerical Audit of the Charged-Lepton Phase Candidate Module 30: Charged-Lepton Yukawa Normal Form Module 31: Proton-Anchor Reading of the Charged-Lepton Yukawa Radius Module 32: Higgs Scale Candidate from Proton Anchor, Alpha, and ρ₅₀ Module 33: Numerical Audit of the Higgs Scale Candidate Module 34: Charged-Lepton Radius Revisited After Higgs-Scale Closure Module 35: Unified Charged-Lepton Closure Formula Module 36: Numerical Full Audit of the Charged-Lepton Closure Formula Module 37: Correcting the Charged-Lepton Phase Lock Module 38: Exact Phase Readout from Charged-Lepton Data Module 39: Corrected Structural Phase Ansatz Module 40: Final Charged-Lepton Phase Candidate Module 41: Final Numerical Audit of the Charged-Lepton Normal Form Module 42: Publication Theorem — Charged-Lepton Normal-Form Reconstruction Module 43: Standard-Model Closure Ledger After Charged-Lepton Normal Form Module 44: Electroweak Scale and Weak-Boson Mass Recovery Module 45: Weak Mixing Angle Candidate from Finite-Sector Recovery Module 46: Numerical Audit of the Weak Mixing Angle Candidate Module 47: Tree-Level Weak-Boson Mass Readout Module 48: Electroweak Running and Pole-Mass Boundary Module 49: Electroweak Closure Status and Next Targets Module 50: Halfway Status — LHFT Standard-Model Closure Program Module 51: Quark-Sector Entry — Why Quarks Are Harder Than Charged Leptons Module 52: Quark Yukawa Geometry and Color-Flavor Separation Module 53: Up-Type Quark Yukawa Normal-Form Search Module 54: Down-Type Quark Yukawa Normal-Form Search Module 55: CKM Matrix as Relative Projection Frame Module 56: Wolfenstein Parameters as Finite-Sector Readouts Module 57: Numerical Audit of the Wolfenstein Finite-Sector Ansatz Module 58: Quark Sector Status After CKM Normal-Form Search Module 59: Neutrino-Sector Entry — Why Neutrinos Require a Separate Closure Module 60: Neutrino Mass Ordering and PMNS Geometry Module 61: PMNS Matrix as Lepton-Sector Relative Projection Frame Module 62: Neutrino Mass-Suppression Mechanisms in LHFT Module 63: Dirac, Majorana, and Projective Seesaw Readings Module 64: Neutrino Closure Ledger and Open Targets Module 65: Higgs Potential Parameters and Vacuum Stability Module 66: Higgs Self-Coupling and Structural Vacuum Curvature Module 67: Higgs Mass Readout and Electroweak Curvature Module 68: Higgs-Sector Status and Open Microscopic Closure Module 69: QCD Entry — Confinement, Proton Mass, and Color Projection Module 70: QCD Scale ΛQCD as Projection Anchor Module 71: Proton Mass as Confinement Recovery Readout Module 72: Strong CP as Projection-Phase Defect Module 73: QCD Sector Status and Proton-Anchor Open Remainder Module 74: Global Coupling Running and Scale Dependence Module 75: Running Couplings as Scale-Dependent Projection Readouts Module 76: Matching Low-Energy Alpha to Electroweak Alpha Module 77: Renormalization Group Reading in LHFT Module 78: Running-Coupling Status Ledger Module 79: Standard-Model Defect Ledger — Full Version Module 80: Publication Roadmap for the LHFT Standard-Model Program Module 81: Charged-Lepton Sector Final Appendix Draft Module 82: Alpha Sector Final Appendix Draft Module 83: Electroweak Sector Appendix Draft Module 84: Quark and CKM Sector Appendix Draft Module 85: Neutrino and PMNS Sector Appendix Draft Module 86: Higgs and QCD Sector Appendix Draft Module 87: Master Conclusion for the Standard-Model Closure Program Module 88: Final Status — What Is Closed, What Is Candidate, What Is Open Module 89: From Program to Formal Paper Architecture Module 90: Formal Paper Outline — LHFT and the Standard-Model Parameter Problem Module 91: Alpha as Projection Impedance — Paper Core Module 92: Charged Leptons as Flavor-Projection Closure — Paper Core Module 93: Electroweak Recovery and Higgs Scale — Paper Core Module 94: Quark and CKM Candidate Normal Forms — Paper Core Module 95: Neutrino, Higgs, and QCD Open Remainders — Paper Core Module 96: Flavor-Sector Status — Charged Leptons, Quark Eigenvalues, and CKM Frame Module 97: Coupling Flavor Normal Forms to Electroweak Mass Recovery Module 98: Master Standard-Model Closure Ledger in LHFT Module 99: Normal-Form Achievements, Empirical Audit Targets, and Microscopic Proof Obligations Module 100: Program Status at the Hundred-Module Boundary Module 101: Proof Program for the 1+7 Schur Alpha Block Module 102: Derivation Target for the 8 = 1+7 Finite Recovery Sector Module 103: Hidden Complement Metric C₇ and Canonical Whitening Module 104: Distinguished Hidden Directions h, s, p and the Three-Term Coupling Vector Module 105: Observer Compression Term ΔKobs = ¾ρ³ Module 106: Conditional Alpha Theorem After Schur and Observer Compression Module 107: Derivation Target for F = 1 ⇒ c_F = 5 ⇒ N* = 50 Module 108: Why the Minimal Projectively Accessible Bright Sector Is F = 1 Module 109: Derivation Target for the Selector Rule c_F = 2F + 3 Module 110: Conditional Selector Theorem for N* = 50 Module 111: Moment-Ratio Mixing Degree ρ₅₀ and the 23/110 Prefactor Module 112: Final Alpha-Proof Status and End of the Current Continuation Block

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-04-28
DOI
https://doi.org/10.5281/zenodo.19865580
Primary Topic
Particle physics theoretical and experimental studies
Type
article
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article

Preliminary LHFT Research Program on Standard-Model Gaps, Candidate Normal Forms, and Open Closure Targets

CHRISTIAN BAGANZ
Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
article

Preliminary LHFT Research Program on Standard-Model Gaps, Candidate Normal Forms, and Open Closure Targets

CHRISTIAN BAGANZ
article en

Abstract

Status: closed normal forms ≠ candidate structures open ≠ microscopic proof targets Koide, Alpha, and the Charged-Lepton Mass Sector in LHFT Program for Closing Standard-Model Gaps Using LHFT Research Program Module 1: Charged-Lepton Flavor Closure Module 2: Radius and Flavor Phase of the Charged-Lepton Sector Module 3: Structural Origin of the Charged-Lepton Scale and Flavor Phase Module 4: Numerical Scan for Structural Forms of Rℓ and φℓ Module 5: Alpha-Coupled Mass-Scale Constraint and Tau-Readout Residual Module 6: Structural Model for Δτ^(K−αm) Module 7: Candidate Derivation of Ξτ Module 8: Numerical Audit of the Ξτ Expansion Module 9: Structural Origin of the Tau Residual Coefficients Module 10: Reconstructing the Charged-Lepton Mass Vector from Koide, Alpha, and the Tau Residual Module 11: From Charged-Lepton Masses to Yukawa Couplings Module 12: Higgs Scale and Electroweak Vacuum Closure Module 13: Electroweak Mixing Angle and U(1)diag Embedding Module 14: Non-Abelian Gauge-Origin Program — SU(2)L and SU(3)c Module 15: Hypercharge, Electric Charge, and Projection Consistency Module 16: Gauge Anomaly Cancellation as Zero-Defect Projection Consistency Module 17: Three Generations as Flavor-Branch Closure Module 18: CKM and PMNS Mixing as Relative Projection Frames Module 19: Neutrino Sector, PMNS Closure, and Mass Suppression Module 20: QCD, Confinement Scale, and Proton Mass Anchor Module 21: Higgs–QCD–Alpha Scale Triangle Module 22: Strong CP Problem as Projection-Phase Defect Module 23: Standard-Model Parameter Ledger in LHFT Module 24: Publication-Level Closure Map Module 25: Charged-Lepton Normal Form in Yukawa Space Module 26: Alpha-Driven Ansatz for the Charged-Lepton Yukawa Radius Rᵧ Module 27: Numerical Audit of the Alpha-Driven Charged-Lepton Yukawa Radius Module 28: Structural Candidate for the Charged-Lepton Flavor Phase φℓ Module 29: Numerical Audit of the Charged-Lepton Phase Candidate Module 30: Charged-Lepton Yukawa Normal Form Module 31: Proton-Anchor Reading of the Charged-Lepton Yukawa Radius Module 32: Higgs Scale Candidate from Proton Anchor, Alpha, and ρ₅₀ Module 33: Numerical Audit of the Higgs Scale Candidate Module 34: Charged-Lepton Radius Revisited After Higgs-Scale Closure Module 35: Unified Charged-Lepton Closure Formula Module 36: Numerical Full Audit of the Charged-Lepton Closure Formula Module 37: Correcting the Charged-Lepton Phase Lock Module 38: Exact Phase Readout from Charged-Lepton Data Module 39: Corrected Structural Phase Ansatz Module 40: Final Charged-Lepton Phase Candidate Module 41: Final Numerical Audit of the Charged-Lepton Normal Form Module 42: Publication Theorem — Charged-Lepton Normal-Form Reconstruction Module 43: Standard-Model Closure Ledger After Charged-Lepton Normal Form Module 44: Electroweak Scale and Weak-Boson Mass Recovery Module 45: Weak Mixing Angle Candidate from Finite-Sector Recovery Module 46: Numerical Audit of the Weak Mixing Angle Candidate Module 47: Tree-Level Weak-Boson Mass Readout Module 48: Electroweak Running and Pole-Mass Boundary Module 49: Electroweak Closure Status and Next Targets Module 50: Halfway Status — LHFT Standard-Model Closure Program Module 51: Quark-Sector Entry — Why Quarks Are Harder Than Charged Leptons Module 52: Quark Yukawa Geometry and Color-Flavor Separation Module 53: Up-Type Quark Yukawa Normal-Form Search Module 54: Down-Type Quark Yukawa Normal-Form Search Module 55: CKM Matrix as Relative Projection Frame Module 56: Wolfenstein Parameters as Finite-Sector Readouts Module 57: Numerical Audit of the Wolfenstein Finite-Sector Ansatz Module 58: Quark Sector Status After CKM Normal-Form Search Module 59: Neutrino-Sector Entry — Why Neutrinos Require a Separate Closure Module 60: Neutrino Mass Ordering and PMNS Geometry Module 61: PMNS Matrix as Lepton-Sector Relative Projection Frame Module 62: Neutrino Mass-Suppression Mechanisms in LHFT Module 63: Dirac, Majorana, and Projective Seesaw Readings Module 64: Neutrino Closure Ledger and Open Targets Module 65: Higgs Potential Parameters and Vacuum Stability Module 66: Higgs Self-Coupling and Structural Vacuum Curvature Module 67: Higgs Mass Readout and Electroweak Curvature Module 68: Higgs-Sector Status and Open Microscopic Closure Module 69: QCD Entry — Confinement, Proton Mass, and Color Projection Module 70: QCD Scale ΛQCD as Projection Anchor Module 71: Proton Mass as Confinement Recovery Readout Module 72: Strong CP as Projection-Phase Defect Module 73: QCD Sector Status and Proton-Anchor Open Remainder Module 74: Global Coupling Running and Scale Dependence Module 75: Running Couplings as Scale-Dependent Projection Readouts Module 76: Matching Low-Energy Alpha to Electroweak Alpha Module 77: Renormalization Group Reading in LHFT Module 78: Running-Coupling Status Ledger Module 79: Standard-Model Defect Ledger — Full Version Module 80: Publication Roadmap for the LHFT Standard-Model Program Module 81: Charged-Lepton Sector Final Appendix Draft Module 82: Alpha Sector Final Appendix Draft Module 83: Electroweak Sector Appendix Draft Module 84: Quark and CKM Sector Appendix Draft Module 85: Neutrino and PMNS Sector Appendix Draft Module 86: Higgs and QCD Sector Appendix Draft Module 87: Master Conclusion for the Standard-Model Closure Program Module 88: Final Status — What Is Closed, What Is Candidate, What Is Open Module 89: From Program to Formal Paper Architecture Module 90: Formal Paper Outline — LHFT and the Standard-Model Parameter Problem Module 91: Alpha as Projection Impedance — Paper Core Module 92: Charged Leptons as Flavor-Projection Closure — Paper Core Module 93: Electroweak Recovery and Higgs Scale — Paper Core Module 94: Quark and CKM Candidate Normal Forms — Paper Core Module 95: Neutrino, Higgs, and QCD Open Remainders — Paper Core Module 96: Flavor-Sector Status — Charged Leptons, Quark Eigenvalues, and CKM Frame Module 97: Coupling Flavor Normal Forms to Electroweak Mass Recovery Module 98: Master Standard-Model Closure Ledger in LHFT Module 99: Normal-Form Achievements, Empirical Audit Targets, and Microscopic Proof Obligations Module 100: Program Status at the Hundred-Module Boundary Module 101: Proof Program for the 1+7 Schur Alpha Block Module 102: Derivation Target for the 8 = 1+7 Finite Recovery Sector Module 103: Hidden Complement Metric C₇ and Canonical Whitening Module 104: Distinguished Hidden Directions h, s, p and the Three-Term Coupling Vector Module 105: Observer Compression Term ΔKobs = ¾ρ³ Module 106: Conditional Alpha Theorem After Schur and Observer Compression Module 107: Derivation Target for F = 1 ⇒ c_F = 5 ⇒ N* = 50 Module 108: Why the Minimal Projectively Accessible Bright Sector Is F = 1 Module 109: Derivation Target for the Selector Rule c_F = 2F + 3 Module 110: Conditional Selector Theorem for N* = 50 Module 111: Moment-Ratio Mixing Degree ρ₅₀ and the 23/110 Prefactor Module 112: Final Alpha-Proof Status and End of the Current Continuation Block

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 6%
Particle physics theoretical and experimental studies
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