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TNFR theory: reading route and chapter catalog

The research program owns the objective, current question and priorities. The chapters below own definitions, conditional results and proofs. This index helps choose a reading route; it does not introduce another research plan.

A short reading route

Question Primary reading
What are the state, complete laws and levels of evidence? Conceptual core, with the glossary for definitions and dependencies
What makes a collection an organized object? Emergence and ontology: formation, identity, maintenance and collective prediction
What would justify a physical interpretation? Physical correspondence atlas, including the electromagnetic prerequisite audit
How do these distinctions apply to an interacting pair? Marked-pair identity and its source-associated prediction; follow the linked premises for the complete construction
Where are a result's implementation, contract and checks? Theory-to-execution map and technical documentation

Each complete law retains its own source, state and observation contract. The worked pair is a conditional construction, not a replacement for those foundations or a demonstrated physical identification. Use the full catalog for other models and proofs; their presence does not schedule an experiment.

Open and edit the linked canonical Markdown files directly, or read the compiled site. theory/research_catalog.json owns the catalog metadata; scripts/prepare_docs.py publishes the same sources without duplicating their ownership. The catalog and compatibility routes below are generated.

Research program

Chapter Source
TNFR research program Objective, current decision and chapter routes

State and laws

Chapter Source
Conceptual core, dependencies and worked examples Maintained technical chapter
Fundamental theory Maintained technical chapter
Parameter foundations Maintained technical chapter
Native C5 foundation account and dynamic capacity Maintained technical chapter
Relation foundations Maintained technical chapter
Pressure premises Maintained technical chapter
Joint parameter response Maintained technical chapter
Glossary Maintained technical chapter

Organized objects and retained identity

Chapter Source
Emergence and ontology Maintained technical chapter
Acquired native organization and regional response Maintained technical chapter
Scale, geometry and collective-state index Maintained technical chapter
Resonance foundations Maintained technical chapter
Global pulse, emergence and resonance: hypothesis audit Maintained technical chapter
Operators, autonomous occurrence and pulse closure Maintained technical chapter

Operators, grammar and support events

Chapter Source
Structural operators Maintained technical chapter
Unified grammar Maintained technical chapter
Diagnostic and grammar scope Maintained technical chapter
Relational support events Maintained technical chapter

Diagnostics and geometry

Chapter Source
Structural observation families and reconstruction Maintained technical chapter
Coherence profiles and observation limits Maintained technical chapter
Structural conservation diagnostics Maintained technical chapter
Stability and dynamics diagnostics Maintained technical chapter
Extended fields Maintained technical chapter

Form, phase and coherent patterns

Chapter Source
Inherited form dynamics Maintained technical chapter
Phase-to-form exchange Maintained technical chapter
Primitive phase closure Maintained technical chapter
Derived form phase Maintained technical chapter
Relational law and chapter index Maintained technical chapter
Relational coefficient and capacity identification Maintained technical chapter
Sine law and constitutive information boundaries Maintained technical chapter
Free relative-phase access between organized children Maintained technical chapter
Reciprocal form-resource envelope Maintained technical chapter
Information from a small phase preparation Maintained technical chapter

Native formation and composition

Chapter Source
Native local recovery and regional interaction Maintained technical chapter
Native phase domains and capture Maintained technical chapter
Native validated transit and preparation controls Maintained technical chapter
Relational pattern composition Maintained technical chapter
Effective mediated connections Maintained technical chapter
Native formation and its obstructions Maintained technical chapter

Formed sine classes and collective interfaces

Chapter Source
Smooth-sine pattern dynamics Maintained technical chapter
Repeated probes of formed sine classes Maintained technical chapter
Contact of actually formed sine classes Maintained technical chapter
Reduced ports of formed sine classes Maintained technical chapter
Network composition of reduced sine ports Maintained technical chapter
Acquired mediator class and a transmitted form response Maintained technical chapter
Effective memory of an acquired sine-class mediator Maintained technical chapter
Two-probe superposition on an acquired sine composite Maintained technical chapter
Finite separation of a nonlinear class-mediated response Maintained technical chapter
Organization dependence of nonlinear interaction Maintained technical chapter
Complete cubic-amplitude mediator response Maintained technical chapter
Spatial observation of nonlinear class interaction Maintained technical chapter
Feasible amplitudes for class discrimination Maintained technical chapter
Independent full-law class comparison protocol Maintained technical chapter
Repeated joined class interaction Maintained technical chapter
Nonlinear collective interface Maintained technical chapter
Changed-input collective prediction Maintained technical chapter
Independent changed-input full-law protocol Maintained technical chapter
Causal composition of acquired sine-class interfaces Maintained technical chapter
Causal nonadditivity of distinct neighbor interventions Maintained technical chapter
Independent distinct-neighbor protocol Maintained technical chapter
Nonlinear excess storage and loss Maintained technical chapter
Uniform tracking of reduced sine ports Maintained technical chapter
Form tracking by ordered heat comparison Maintained technical chapter

Conservative organization, pulses and memory

Chapter Source
Exact and controlled form-phase reductions Maintained technical chapter
Conservative regional formation and its barriers Maintained technical chapter
Collective phase families and live contact feedback Maintained technical chapter
Canonical contact between maintained weighted stars Maintained technical chapter
Finite registration and collective identity after contact Maintained technical chapter
Conservative source preparation and finite retention Maintained technical chapter
Native reduction and memory index Maintained technical chapter
Native mediated pattern dynamics Maintained technical chapter
Sine environmental state and causal memory Maintained technical chapter
Return-path geometry and collective response Maintained technical chapter
Retained phase records and finite contact readout Maintained technical chapter
Sine relative state, recovery and conservative identity Maintained technical chapter

Transport, memory and clocks

Chapter Source
EPI diffusion stability Maintained technical chapter
Directed nonnormal dynamics Maintained technical chapter
Derived EPI memory Maintained technical chapter
Capacity and localization Maintained technical chapter
Cycle support dynamics Maintained technical chapter
Cycle memory relaxation Maintained technical chapter
Forced support balance Maintained technical chapter
Forced regional response and environmental readouts Maintained technical chapter
Forced-source closure and phase clocks Maintained technical chapter
Conditional phase locking and circulation geometry Maintained technical chapter
Winding generation and native writer boundaries Maintained technical chapter
Geometric identity and capacity-feedback bounds Maintained technical chapter
REMESH fixed-delay models Maintained technical chapter
Sufficient unordered pair state Maintained technical chapter
Internal replica pulses and their perturbations Maintained technical chapter
Collective prediction and temporal error allowances Maintained technical chapter
Phase and joint form-phase grouping Maintained technical chapter
Pair geometry under alternative reciprocal mobility Maintained technical chapter
Pair actions, regional exchange and cancellation Maintained technical chapter
One admitted collective word Maintained technical chapter
Collective Resonance and internal geometry Maintained technical chapter
Collective Coupling and support-law admission Maintained technical chapter
Actual contact between maintained organizations Maintained technical chapter
Stationary and energy geometry of the actual contact Maintained technical chapter
Phase-nearest UM contact, maintenance and finite exchange Maintained technical chapter

Organized sources and parent dynamics

Chapter Source
Constitutive freedom of organized patterns Maintained technical chapter
Constitutive inheritance through organized interfaces Maintained technical chapter
Carried prediction through a reciprocal composite interaction Maintained technical chapter
Composite relaxation, effective interaction and marked-pair identity Maintained technical chapter
Regional contact transport and hidden-profile information Maintained technical chapter
Predictive repeated organized composition Maintained technical chapter
Parent registration acquired from organized children Maintained technical chapter
Restoring response of an acquired organized parent Maintained technical chapter
Continuous form actuation of the acquired-parent phase event Maintained technical chapter
Constructive continuous realization of the acquired-parent phase event Maintained technical chapter
Collective actuation with unresolved fine state Maintained technical chapter
Autonomous exchange with a finite auxiliary reservoir Maintained technical chapter
Retained reservoir information and local organized equilibria Maintained technical chapter
Complete port inherited from an organized C9 source Maintained technical chapter
State-guard sensitivity of the organized word Maintained technical chapter
Sufficient hybrid state on the organized child-swap sector Maintained technical chapter
Exact organized-source state modulo a global child exchange Maintained technical chapter
Full-state capture and collective registration of the organized source Maintained technical chapter

Collective winding and contact response

Chapter Source
Acquisition of an outer winding by five acquired C9 organizations Maintained technical chapter
Alternative-law outer acquisition Maintained technical chapter
Alternative-law finite interaction Maintained technical chapter
Dynamical cancellation on ideal organized contact Maintained technical chapter
Fine preparation and hidden contact response Maintained technical chapter
Finite probe response of the acquired outer organization Maintained technical chapter
Observing outer winding with unknown child phase origins Maintained technical chapter
Observing outer winding on one continuing organization Maintained technical chapter
External interaction of an acquired collective organization Maintained technical chapter
Finite interaction across relative phase origins Maintained technical chapter
Joint preparation resources for finite interaction Maintained technical chapter

Organized observation and predictive information

Chapter Source
Finite coupling across normalized interfaces Maintained technical chapter
Conserved charge observations Maintained technical chapter
Complete-state electrical realization Maintained technical chapter
Actual-source electrical comparison Maintained technical chapter
Operational electrical identification Maintained technical chapter
Finite input on the actual five-child organization Maintained technical chapter
Observing collective winding with finite form inputs Maintained technical chapter
Five-child electrical observation protocol Maintained technical chapter
Collective response inherited from constituents Maintained technical chapter
Finite collective prediction with frozen variances Maintained technical chapter
Preparation-aware collective initialization Maintained technical chapter
Computable post-observation prediction Maintained technical chapter
Predictive sufficiency of joint observations Maintained technical chapter
Admission of an observation-based forecast Maintained technical chapter
Constitutive law and unknown initialization Maintained technical chapter
Current discrimination under uncertainty Maintained technical chapter
Physical feasibility of organized current observation Maintained technical chapter
Collective state and matrix response Maintained technical chapter
Loaded finite-window collective observation Maintained technical chapter
Integrated sensor response during recovery Maintained technical chapter

Collective maintenance and assembly

Chapter Source
Organized identity under continued external contact Maintained technical chapter
Composition error of simultaneous contact responses Maintained technical chapter
Organized identity under weak external contact Maintained technical chapter
Alternative-law weak-contact registration and capture Maintained technical chapter
Constitutive transition of collective registration Maintained technical chapter
A marked interaction of a critical parent Maintained technical chapter
Collective boundary constraints and the scope of restoration Maintained technical chapter
Reflection obstruction for full-fine contact identity Maintained technical chapter
Full-fine stationary contact and marked chambers Maintained technical chapter
Composition-compatible constitutive laws Maintained technical chapter
Oriented-interface profile inheritance Maintained technical chapter
Network-wide organized compatibility Maintained technical chapter
Capture of the acquired three-object assembly Maintained technical chapter
Identity-preserving assembly work Maintained technical chapter
Joint acquisition on preexisting fine support Maintained technical chapter
Locally unprepared receiver mechanism Maintained technical chapter
Controlled slow receiver admission Maintained technical chapter
Source-preserving receiver enclosure Maintained technical chapter
Regional work and winding retention Maintained technical chapter

Constitutive barriers and source preparation

Chapter Source
Constitutive identity barriers and work Maintained technical chapter
Constitutive receiver source and comparison Maintained technical chapter
Preparation information and acquired modes Maintained technical chapter
Preparation paths, capture and forced phase passage Maintained technical chapter
Terminal restrictions on the same preparation path Maintained technical chapter
Source-specific capture through the actual phase passage Maintained technical chapter
Constitutive robustness of source-path capture Maintained technical chapter

Sine contact, observation and inference

Chapter Source
Two-port compatibility of sine classes Maintained technical chapter
Finite transit of two-port sine classes Maintained technical chapter
Prepared capture of two-port sine classes Maintained technical chapter
Supplied probe of the acquired two-port composite Maintained technical chapter
Interior phase probe of acquired two-port deformation Maintained technical chapter
Two-port geometry from a calibrated local response Maintained technical chapter
Geometry and gain from two successive phase inputs Maintained technical chapter
Geometry, sensor gain and a declared uncertain clock Maintained technical chapter
Finite curvature from one additional reading Maintained technical chapter
Clock drift, sampled exposure and robust mean-rate inference Maintained technical chapter
Finite-aperture observations and mean-clock inference Maintained technical chapter
Finite-noise and horizon resolution for the four boxcar observations Maintained technical chapter

Localized transport and organization

Chapter Source
Finite transport of a localized identity Maintained technical chapter
Source resources for localized mobile identities Maintained technical chapter
Prepared mobile encounter and interaction observation Maintained technical chapter
Certified observation of a mobile encounter Maintained technical chapter
Geometry and formation of localized organization Maintained technical chapter
Localized formation compatibility Maintained technical chapter
Same-band source and regional work Maintained technical chapter
Localized retention mechanisms Maintained technical chapter

Model-specific operator and hierarchy studies

Chapter Source
Native operator dynamics Maintained technical chapter
Native collective calculus Maintained technical chapter
Aggregate operators and native transitions Maintained technical chapter
Collective IL/OZ pressure handoff Maintained technical chapter
Pressure-completion compatibility Maintained technical chapter
Complete form-capacity actions Maintained technical chapter
Directional maintenance Maintained technical chapter
Collective identity through form-capacity action Maintained technical chapter
Collective Reception Maintained technical chapter
Collective Transition Maintained technical chapter
Collective Mutation admission Maintained technical chapter
Collective Mutation action Maintained technical chapter
Collective hierarchy Maintained technical chapter
Hierarchy-to-contact composition Maintained technical chapter
Maintained-source birth obstruction Maintained technical chapter
Capacity and temporal access Maintained technical chapter
Local capacity and joint temporal admission Maintained technical chapter
Acquired local-capacity history Maintained technical chapter
THOL birth on a certified maintained parent Maintained technical chapter
Default UM on the retained THOL successor Maintained technical chapter
Maintained-parent SHA closure and changed law Maintained technical chapter
Finite preparation families for the held sine law Maintained technical chapter
Connected child's temporal capability Maintained technical chapter
Child OZ and observation timing Maintained technical chapter
Acquired-child THOL and word completion Maintained technical chapter
Stationary geometry of the proposed UM successor Maintained technical chapter
Principal-chamber minimum exclusion Maintained technical chapter
Successor motion and sufficient state Maintained technical chapter
Collective Recursivity Maintained technical chapter
Coupling and winding Maintained technical chapter
Coherent pattern contact Maintained technical chapter
THOL pressure feedback Maintained technical chapter
THOL birth and transport Maintained technical chapter
Child coupling feedback Maintained technical chapter

Auxiliary models and physical comparisons

Chapter Source
Variational and exchange models Maintained technical chapter
Dissipative/open-system models Maintained technical chapter
Gauge and polarization constructions Maintained technical chapter
Physical correspondence atlas and emergence boundaries Maintained technical chapter

Arithmetic and applications

Chapter Source
Number theory Maintained technical chapter
Structural observability — R1 Maintained technical chapter
Arithmetic dynamics — R2 Maintained technical chapter
CRT composition — R3 Maintained technical chapter
p-adic dynamics — R4 Maintained technical chapter
Algebraic number fields — R5 Maintained technical chapter
Additive dynamics — R6 Maintained technical chapter
Arithmetic pressure — R7 Maintained technical chapter
Arithmetic operators — R8 Maintained technical chapter
Riemann scope Maintained technical chapter

Research, measurement and parked evidence

Chapter Source
Passive transport protocol Maintained technical chapter
Regional phase/amplitude protocol Maintained technical chapter
Chemical observation and predictive information Maintained technical chapter
Physical admission of the delayed digital-PLL realization Maintained technical chapter
TCLab comparison boundary Maintained technical chapter
Parked C6 evidence boundary Maintained technical chapter
Relative-coupling observation admission Maintained technical chapter

Research navigation

Chapter Source
Theory-to-execution map Maintained technical chapter
Bibliographic methods for TNFR foundations Maintained technical chapter

Published guide routes

Chapter Source
Retired nodal research strategy Generated link to the current program
Retired five-stage execution plan Generated link to the current program

Published index links

Old index links land here; use the current execution map.