{
  "abstract": "Version 38.0.0 (Concrete SU(2) Haar Extracted Remainder Single-Link & Two-Link Mixed-Difference Oscillation wilsonAction_oscillation_of_agree_off_link / haarBlockedFiberWeight_singleLink_ratio / haarBlockedFiberWeight_singleLink_quotient_bounds / haarBlockedEffectiveAction_singleLink_oscillation / haarSupportedBlockDisintegration / wilsonAction_one_updateGaugeLink_oscillation_le_twelve / haarExtractedCoarseRemainder_singleLink_oscillation_and_twoLink_mixedDifference, Untruncated Mixed-Degree (0, 2) OS Reflection Positivity vs. Truncated Hierarchy untruncatedMixedDegreeZeroTwoGramForm / untruncatedMixedDegreeZeroTwoGramDet / untruncatedMixedDegreeZeroTwoGramForm_psd_and_det_eq_variance_sq, Complete Vacuum-Orthogonal Hilbert-Space Semigroup Contraction & Hidden-Mode Exclusion completeVacuumOrthogonalSemigroup_contraction_excludes_hidden_low_energy_eigenstate, Unified v38_actual_haar_remainder_mixed_os_and_complete_hilbert_gap_synthesis, 1B-Deep 10-Wide Jesse Swarm on the Twelve Physical Obligations P01..P12, Concrete SU(2) Haar Dyadic Fiber Disintegration haarBlockKernel / haarBlockDisintegration / haar_wilsonBlockedMeasure_density / haar_wilson_integral_disintegration / haar_wilsonBlockedMeasure_zero / dyadicFiberFineLink1 / dyadicFiberFineLink2 / dyadicFiberFineLink_mul_reconstructs_coarse_and_changes_one_fine_link / SupportedBlockFiberDisintegration / supportedBlockFiberDisintegration_partition_and_pushforward_and_dirac_rejection, Elementary 12β Fiber Weight-Ratio & Weak-Coupling Growth elementary_dyadic_fiber_twelve_beta_weight_ratio_and_weak_coupling_growth, Distance-Weighted Spatial Dobrushin Row Norm &Carried-Forward Remainder Iteration distanceWeightedDobrushinRowSum / distanceWeightedDobrushinRowSum_implies_exponential_spatial_decay_and_locality_diagnostic / iteratedCoarseEffectiveAction / iterated_blocking_requires_remainder_carryForward_and_growing_depth_error_bound, OS Mixed-Degree Gram Indefiniteness, 45° Continuous Rotation & Alternating-Window Diagnostics mixedDegreeZeroTwoGramForm / mixedDegreeZeroTwoGramDet / truncated_schwinger_hierarchy_fails_mixed_degree_os_positivity_and_higher_clustering / continuous_45deg_rotation_breaks_l1_exponential_correlator_and_volume_exhaustion_contrast / alternatingSpectralAmplitude / uniform_spectral_window_does_not_imply_full_sequence_convergence_and_form_domain_necessity, Sampler-Clock Rescaling & 3-Sector Hidden-Mode / Escaping-Energy Obstructions samplerClockDirichletForm / threeSectorHiddenModeForm / sampler_clock_rescaling_decoupled_from_physical_transfer_gap_and_kernel_obstruction / hidden_gapless_sector_and_escaping_energy_obstructions_and_rate_ledger, Three-Tier Magnitude Taxonomy ObligationMagnitudeCategory & Unified v37_twelve_physical_obligations_bridge_and_counterexample_synthesis, Pairwise Conditional-TV Dobrushin Bound & 4-Link Parity Counterexample fourLinkParityRemainder_singleLinkOscillation_lt_one_but_dobrushinRowSum_gt_one / pairwise_crossRatio_bounds_binaryConditionalTV / supportMultiplicity_polymer_bounds_pairwise_dobrushin_row_sum, Two-Link Mixed Second Differences & Finite-Fiber Partition Integral updateTwoGaugeLinks / twoLinkMixedDifference / twoLinkMixedDifference_eq_zero_of_independent_and_oscillation_bound / wilsonBlockedEffectiveAction_twoLinkMixedDifference_from_fiber_crossRatio / finiteFiberEffectiveAction_oscillation_derived_from_fine_action_lip, Normalized Killing–Ricci Floor vs. Factor-of-4 Unnormalized Overstatement unnormalized_dualCoxeter_floor_is_four_times_ricci_floor, Dobrushin-Weighted Quadratic Form Coercivity vs. Zero-Form Negative Control dobrushin_scalar_landing_alone_does_not_force_zero_form_coercivity / dobrushinWeightedQuadraticForm_derives_prelimit_coercivity_and_transfers, Countable-Series Källén–Lehmann Coercivity & Derived Geometric Cauchy Convergence tsum_infinite_tower_kallen_lehmann_coercivity / cauchySeq_and_limit_bounds_of_geometric_correlator_contraction, Single-Link Gauge Perturbations & Derived Fiber-Ratio Oscillation Bounds updateGaugeLink / updateGaugeLink_same_and_other / wilsonBlockedNormalizedEffectiveAction_link_oscillation_from_fiber_ratio / extractedCoarseRemainder_link_oscillation_bound, Mandatory Single-Link Oscillation Enforcement in CoarseRemainderInfluenceContract, Detached-Influence Rejection & Polymer-Sum Influence Derivation detached_linkInfluence_rejected_by_oscillation_bound / polymerSumRemainder / derivedPolymerLinkInfluence / derived_polymer_linkInfluence_bounds_oscillation_and_constructs_contract, Arbitrary-N-Mode Källén–Lehmann Spectral Coercivity & Joint Thermodynamic/Continuum Correlator Limit multiModeSpectralEnergyForm / multiModeSpectralNormSq / multiMode_kallen_lehmann_hamiltonian_gap_coercivity_and_infinite_tower_bridge / joint_thermodynamic_and_continuum_correlator_cauchy_and_nontriviality, Dobrushin-Derived Pre-Limit Gap Transfer & All-Group Coverage dobrushin_landing_tube_derives_prelimit_gap_and_transfers_to_continuum / all_compact_simple_gauge_groups_ricci_and_holley_stroock_gap_floor / unifiedPhysicalWilsonBlockingModel_derived_oscillation_and_all_group_synthesis, Single Physical-Model Binding UnifiedPhysicalWilsonBlockingModel / unifiedPhysicalWilsonBlockingModel_master_bridge / dimensionlessStrongCouplingGap_div_eq_strongCouplingMassGap, One-Step Blocked-Wilson Effective-Action Decomposition & Strict Positivity on All of GaugeConfig L LinearPlaquetteCouplingExtractor / effectiveActionDecomposition_unique_of_linearExtractor / wilsonBlockedFiberWeight_bounds_and_pos_all_configs / one_step_wilson_blocking_effective_action_decomposition_and_weight_factorization, Link-Pinned Polymer Influence & Inductive Multi-Step Tube Invariance naive_global_block_action_bound_diverges_with_volume / coarseTotalDobrushinRowSum_uniform_bound / inductive_interaction_class_remainder_envelope_and_routeA_feed, Quantitative IR Scale-Locking & Two-Sided Spectral-Window Control unlocked_ir_scale_drift_collapses_physical_gap /…",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "solidSF Research Team: using Jesse v1.2.16"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1rxq182pndww3.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23591906",
  "fulltext_url": null,
  "id": "1rxq182pndww3",
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  "landing_url": "https://zenodo.org/records/23591906",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
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  "pdf_url": "https://zenodo.org/api/records/23591906/files/paper_yang_mills_jesse.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1rxq182pndww3.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T12:21:17Z",
      "native_id": "23591906",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23591906"
    }
  ],
  "subjects": [],
  "title": "A Machine-Checked Lean 4 Formalization of the UV–IR Architecture and Constructive Polymer Contraction for 4D Quantum Yang–Mills: Bridging Sussman–Alpöge's Bałaban Continuum Limit (Theorem 0 & Theorem A) and Osterwalder–Seiler / Kotecký–Preiss Mass Gap Bounds (v38.0.0)",
  "title_text": "A Machine-Checked Lean 4 Formalization of the UV–IR Architecture and Constructive Polymer Contraction for 4D Quantum Yang–Mills: Bridging Sussman–Alpöge's Bałaban Continuum Limit (Theorem 0 & Theorem A) and Osterwalder–Seiler / Kotecký–Preiss Mass Gap Bounds (v38.0.0)",
  "type": "preprint",
  "updated_at": "2026-11-06T12:21:17Z",
  "url": "https://research.draconitic.com/paper/1rxq182pndww3",
  "venue": "Zenodo",
  "versions": []
}