Papers - Classification Index

One page. Clean tables. Direct PDF links. Categories + overlapping tags.

Ontological Foundations Series

Primary domain - foundational ontology and identity structure

domain - ontology

function - foundations

scale - universal

Document	Series	Primary domain	Tags
Document Structural Priority vs Reality Ontological Foundations - Paper I	Series Ontological Foundations	Primary domain Ontology	Tags structural primacyexistence logicidentity basis
Document The Great Escape Ontological Foundations - Paper II	Series Ontological Foundations	Primary domain Ontology	Tags emergencetransitionconstraint release
Document The Infinity Paradox Ontological Foundations - Paper III	Series Ontological Foundations	Primary domain Ontology	Tags singularitieslimitsclosure
Document The Fractal Reset Ontological Foundations - Paper IV	Series Ontological Foundations	Primary domain Ontology	Tags recursionstability resetbasin renewal

Core Pattern Field Theory Papers (1-16)

Primary domain - physical emergence and transport mechanics, with ontology overlap

domain - physics emergence

function - theory and model

scale - cross scale

Document	Series	Primary domain	Tags
Document Unified Mathematical Substrate Foundations - axioms and recursive operators	Series Foundations	Primary domain Mathematics	Tags axiomsoperatorsmetacontinuum
Document Paper 4 - Interaction and Interference Core PFT paper	Series Core PFT	Primary domain Physical emergence	Tags interactioninterferencecoherence
Document Paper 5 - Coheron Interaction, Basin Capacity, and Emergent Periodicity Core PFT paper	Series Core PFT	Primary domain Physical emergence	Tags basin capacityperiodicitycoherons
Document Paper 6 - Excitation, Propagation, and Measurement Coupling Core PFT paper	Series Core PFT	Primary domain Transport mechanics	Tags propagationmeasurementcoupling
Document Paper 7 - Constraint Geometry, Depth, and Dynamics Core PFT paper	Series Core PFT	Primary domain Mathematical structure	Tags constraint geometrydepthdynamics
Document Paper 8 - Conservation, Irreversibility, and Structural Memory Core PFT paper	Series Core PFT	Primary domain Physical emergence	Tags conservationirreversibilitymemory
Document Paper 9 - Information, Identity, Persistence, and Observer Patterns Core PFT paper	Series Core PFT	Primary domain Ontology	Tags identitypersistenceobserver patterns
Document Paper 10 - Locality and Nonlocality: Structural Separation Core PFT paper	Series Core PFT	Primary domain Physical emergence	Tags localitynonlocalityseparation
Document Paper 11 - Fields and Forces as Emergent Interaction Laws Core PFT paper	Series Core PFT	Primary domain Physical emergence	Tags fieldsforcesinteraction law
Document Paper 12 - Geometry and Metrics as Emergent Spacetime Core PFT paper	Series Core PFT	Primary domain Spacetime emergence	Tags metricsgeometryspacetime
Document Paper 13 - Quantum Phenomena and Classical Limits Core PFT paper	Series Core PFT	Primary domain Physics emergence	Tags quantumclassical limitsadmissibility
Document Paper 14 - Gravity, Curvature, and Cosmological Structure Core PFT paper	Series Core PFT	Primary domain Cosmology	Tags gravitycurvaturestructure formation
Document Paper 15 - Causality and Correlation: Structural Explanation Core PFT paper	Series Core PFT	Primary domain Foundations	Tags causalitycorrelationstructural explanation
Document Paper 16 - Unification and Recursive Completion in Pattern Field Theory Core PFT paper	Series Core PFT	Primary domain Master synthesis	Tags unificationrecursive completionclosure

Supplementary and Foundational Additions

Keystone, differentiation primitives, PAL effects, and inward expansion foundation

domain - mixed

function - definitions

scale - structural

Document	Series	Primary domain	Tags
Document Paper 17 - Dimensional Stability and Incomplete Identities Supplementary - structural keystone	Series Supplementary	Primary domain Ontology	Tags stabilityidentity completenessthresholds
Document Paper 18 - Differentiat and Equi-Pair Instantiation Supplementary	Series Supplementary	Primary domain Formal primitives	Tags differentiationpairingEQUI
Document Paper 19 - Phase Alignment Locking, Friction, Discharge, and Lightning Supplementary	Series Supplementary	Primary domain PAL dynamics	Tags PALdischargelightning
Document Inward Expansion, Identity Closure, and Emergent Symmetry Foundational paper	Series Foundational	Primary domain Cosmology	Tags inward expansionidentity closuresymmetry

Unified Control Structure Series (1-5)

Governance, observer continuity control, projection dressing, repair economics

domain - systems control

function - model

scale - cross scale

Document	Series	Primary domain	Tags
Document Paper 1 - Unified Control Structure Framework Control series	Series Control Structure	Primary domain Systems control	Tags controlregulationstabilization
Document Paper 2 - Dormancy and Safe Mode Governance Structures Control series	Series Control Structure	Primary domain Systems control	Tags dormancysafe modegovernance
Document Paper 3 - Irreversibility, Stress, Scarring - Economics of Repair Control series	Series Control Structure	Primary domain Systems repair	Tags irreversibilityscarringrepair economics
Document Paper 4 - Observer Patterns - Emergent Continuity Control series	Series Control Structure	Primary domain Ontology	Tags observer patternscontinuitystability
Document Paper 5 - Field Dressing - Observable Projection Control series	Series Control Structure	Primary domain Measurement interface	Tags projectionmeasurementdressing

Structural Series - Foundations of Admissible Structure

Basel constant, scaffolding, admissibility

domain - mathematics

function - derivation

scale - structural

Document	Series	Primary domain	Tags
Document On the Appearance of the Basel Constant in Pattern Field Theory Explainer	Series Explainer	Primary domain Mathematics	Tags zeta geometryBaselconstant emergence
Document The Structural Origin of pi squared over 6 - Basel Constant Structural Series I	Series Structural Series	Primary domain Mathematics	Tags piBaselstructural origin
Document Coherons - Structural Scaffolding Structural Series II	Series Structural Series	Primary domain Formal structure	Tags coheronsscaffoldingadmissibility
Document Basel Constant Admissibility Proof Formal proof supplement	Series Supplement	Primary domain Mathematics	Tags proofadmissibilityzeta

Structural Regime Resolution (SRR) Series

Eight-paper logically closed extension focused on regime mechanics and scale flow

domain - formal physics

function - operators

scale - multi scale

Document	Series	Primary domain	Tags
Document Structural Regime Resolution at the Quantum Scale - Paper I	SRR	Formal structure	regimesquantum scaleconstraints
Document Structural Regime Resolution at the Classical Scale - Paper II	SRR	Formal structure	classical scaleclosuremetrics
Document Structural Regime Resolution at the Relativistic Scale - Paper III	SRR	Formal structure	relativisticscale flowconsistency
Document Structural Regime Resolution at the Quanta Scale - Paper IV	SRR	Formal structure	quanta scaleoperatorsadmissibility
Document Structural Regime Resolution - Unified Index Diagnostics and Cross-Domain Map - Paper V	SRR	Synthesis	diagnosticsindex mapcross-domain
Document Structural Regime Resolution in the Allen Orbital Lattice - Paper VI	SRR	AOL structure	AOLregimesmetrics
Document SRR Operators and Allen Orbital Lattice Metrics - Paper VII	SRR	Operator algebra	operatorsmetricsclosure
Document SRR as Renormalization Group - Paper VIII	SRR	Multi-scale flow	renormalizationscale flowhierarchy

Closure, Transport, Empirical Interface

Formal closure, transport ontology, predictions, companion derivations

domain - math and physics

function - closure and tests

scale - universal

Document	Series	Primary domain	Tags
Document Mathematical Closure of Pattern Field Theory Formal structural resolution and global consistency	Closure program	Mathematics	global consistencyclosureconditions
Document Substrate Driven Geometry and Energy Formation Transport mechanics, structural energy, emergent metric formation	Transport	Physical emergence	transportenergy formationmetrics
Document Discrete Transport Foundations of Physical Structure Master synthesis of transport ontology and relativistic emergence	Master synthesis	Transport	transport ontologyinteraction structurerelativistic emergence
Document Explicit Falsifiable Predictions from Discrete Transport Structure Empirical consequences of the AOL framework	Empirical	Test framework	predictionsfalsifiabilitymeasurement
Document Companion Derivation Sheet for Pattern Field Theory Formal derivation summary and dependency map	Reference	Formal structure	dependency mapderivationsindex

Cosmology and Time

Curvature replication, missing mass resolution, origin of time

domain - cosmology

function - model

scale - cosmological

Document	Series	Primary domain	Tags
Document Cosmology in Pattern Field Theory Curvature replication, trishift dynamics, collapse structure formation	Cosmology program	Cosmology	curvature replicationcollapsestructure formation
Document A Structural Replacement for Dark Matter and Dark Energy Lattice-based resolution of missing mass and expansion	Cosmology program	Cosmology	missing massexpansionlattice physics
Document The Origin of Time Time emergence paper	Temporal	Time structure	time emergencephase closurerecurrence
Document PFT Cosmology Consistency Addendum Consistency supplement	Supplement	Cosmology	consistencyclosureaddendum

Matter, Materials, Biology

Morphogenesis, ferrofluids, crystals, chromosomes

domain - matter systems

function - model

scale - atomic to biological

Document	Series	Primary domain	Tags
Document Six-Fold Morphogenesis Hexagonal symmetry, admissible growth, structural differentiation	Morphogenesis	Biological structure	growthsymmetrydifferentiation
Document Prime-Constrained Morphogenesis on the AOL Preprint	Morphogenesis	Biological structure	primesgrowth constraintsAOL
Document 2D-3D Morphogenesis Morphogenesis transition paper	Morphogenesis	Biological structure	2D to 3Dstructure emergencegrowth
Document Surface Tension and Ferrofluid Labyrinths on the AOL Figures included	Pattern formation	Material systems	ferrofluidlabyrinthssurface tension
Document Crystalline Coherence Equation (CCE) Rev 1	Materials	Material systems	crystalscoherencelattice
Document Human Chromosomes on the Allen Orbital Lattice Genomic structural mapping	Bio structural	Biological structure	chromosomesmappingAOL

Computation and Applied Notes

CCCT, computation graphs, Collatz, prediction notes, wildfire model

domain - computation

function - theory and notes

scale - informational

Document	Series	Primary domain	Tags
Document Coherence Constrained Computation Theory (CCCT) Computation theory	Computation	Computation	complexityconstraintscoherence
Document Signal Identity and Observer Continuity Information and persistence	Information	Ontology	signal identitycontinuityobserver patterns
Document AOL Computation Graphs Technical note	Notes	Computation	graphsAOLstructure
Document AOL - 3n+1 Collatz Number structure note	Notes	Mathematics	Collatzdiscrete dynamicsAOL
Document Solving the Three Body Problem Applied dynamics note	Notes	Mathematics	three bodydynamicsstructure
Document Allenium Prediction Prediction note	Notes	Empirical interface	predictionstructureAOL
Document Wildfire Coherence and Physical Prediction Applied model	Empirical	Empirical interface	wildfirepropagationcoherence

Event Cascades and Operator Closure

PAL closure, cascade dynamics, hierarchy flow

domain - dynamics

function - model

scale - cross scale

Document	Series	Primary domain	Tags
Document Event Cascades - Ghost-Field PAL Bridge Cascade dynamics note	Cascade	Dynamics	event cascadePALlocking
Document The Event Cascade in the Allen Orbital Lattice - v2 Cascade formalization	Cascade	Dynamics	AOLcascadereturn to equilibrion
Document PAL-Coherent Operator Closure on the Allen Orbital Lattice Operator closure paper	Closure	Operator algebra	PALclosureoperators
Document PFT Closure 2025-12-26 Closure versioned PDF	Closure	Operator algebra	versionedclosureoperators
Document PFT Hierarchy as Renormalization Group Multi-scale flow on the AOL	Scale flow	Multi-scale	renormalizationhierarchyflow

Indexes and Reference

Master index and foundations PDF

domain - reference

function - navigation

scale - universal

Document	Series	Primary domain	Tags
Document PFT Master Index Full document inventory index	Reference	Navigation	indexinventoryportal
Document The Foundation of Pattern Field Theory Foundational overview PDF	Foundations	Foundations	overviewaxiomscore claims
Document Unified Field Equations Unified field equations PDF	Foundations	Formal physics	field equationsunificationclosure
Document Riemann Hypothesis Solution Formal proof PDF	Mathematics	Number structure	Riemannspectralequilibrium
Document Spacetime Emergence 2025-11-10 Emergent spacetime PDF	Physics emergence	Spacetime	spacetimemetricsemergence