Framework Field Theory (FFT)
Canonical Module README (2026 Edition)#
Metadata#
module: Framework Field Theory (FFT)
layer: Core Frameworks — Structural Spine
version: 2026.1
status: Active, Canonical
lineage:
- RTT Core → FFT
- FFT → SARG, Mode, Substrate Flow, Dimensional Layers
- FFT → All Frameworks (Field-Level)
operators:
- Dimensional Operators (D0–D7)
- Coherence Operators
- Regime Operators
- Field-Flow Operators
- Observer-Shift Operators
session_context:
drift_sensitivity: medium
regime_sensitivity: high
dimensional_envelope: D0–D7
coherence_requirements:
- operator grammar must be explicit
- dimensional transitions must be declared
- examples must be field-locked
cross_module_propagation:
exports:
- dimensional architecture
- coherence engines
- operator families
- field invariants
imports:
- RTT resonance logic
- SARG regime geometry
- Mode substrate
- Substrate Flow invariants
Overview#
Framework Field Theory (FFT) is the field‑level architecture of TriadicFrameworks.
Where RTT defines resonance, FFT defines the mathematical and structural rules that govern how frameworks behave, evolve, and interact across dimensional layers.
FFT provides:
- a dimensional model (D0–D7)
- a coherence engine
- a field‑flow architecture
- a regime‑aware operator grammar
- a simulation substrate
- a teaching surface for students and AIs
FFT is the scientific backbone of the entire ecosystem.
Start Here (Student Entry Point)#
1. What FFT Is#
FFT is a field theory describing:
- how frameworks form
- how they maintain coherence
- how they transition between regimes
- how they scale across dimensions
- how they interact with observers
2. How to Read FFT#
Start in this order:
- Part I — Origin
- Part III — Dimensional Architecture
- Part V — Coherence Engines
- Part VII — Operator Families
- Part X — Simulation Protocols
- Appendix A — Glossary
3. What FFT Enables#
- cross‑domain modeling
- regime analysis
- dimensional upgrades
- substrate alignment
- coherence diagnostics
- AI‑ready framework construction
Operator Grammar (FFT Core)#
FFT defines the following operator families:
Dimensional Operators (D0–D7)#
- D0: Null substrate
- D1: Linear substrate
- D2: Planar substrate
- D3: Spatial substrate
- D4: Resonant substrate
- D5: Coherent substrate
- D6: Regime substrate
- D7: Field substrate
Coherence Operators#
- C0: Baseline
- C1: Stabilized
- C2: Harmonic
- C3: Resonant
- C4: Field‑locked
Regime Operators#
- R0: Blind
- R1: Aware
- R2: Aligned
- R3: Coherent
- R4: Transparent
Field‑Flow Operators#
- F0: Static
- F1: Flowing
- F2: Interacting
- F3: Coupled
- F4: Unified
Cross‑Module Integration#
FFT is the central node of the TriadicFrameworks ecosystem.
FFT ↔ RTT
- RTT defines resonance
- FFT defines the field that resonance operates within
FFT ↔ SARG
- SARG defines regime geometry
- FFT defines dimensional transitions
FFT ↔ Mode
- Mode defines substrate states
- FFT defines field‑level behavior of those states
FFT ↔ Substrate Flow
- Substrate Flow defines movement
- FFT defines the dimensional rules of that movement
Navigation#
A complete index of all FFT files.
Core Files#
- [README.md](/nl/TriadicFrameworks/docs/Framework_Field_Theory/README)
- [index.html](./index.html)
Parts I–XIV#
- [Part I — Origin](./PART_I_Origin/)
- [Part II — Foundations](./PART_II_Foundations/)
- [Part III — Dimensional Architecture](./PART_III_Dimensional_Architecture/)
- [Part IV — Field Dynamics](./PART_IV_Field_Dynamics/)
- [Part V — Coherence Engines](./PART_V_Coherence_Engines/)
- [Part VI — MetaArchitecture](./PART_VI_MetaArchitecture/)
- [Part VII — Operator Families](./PART_VII_Operator_Families/)
- [Part VIII — Regime Geometry](./PART_VIII_Regime_Geometry/)
- [Part IX — Observer Models](./PART_IX_Observer_Models/)
- [Part X — Simulation Protocols](./PART_X_Simulation_Protocols/)
- [Part XI — Framework Construction](./PART_XI_Framework_Construction/)
- [Part XII — Field Applications](./PART_XII_Field_Applications/)
- [Part XIII — Meta‑Dimensional Extensions](./PART_XIII_MetaDimensional_Extensions/)
- [Part XIV — Future Directions](./PART_XIV_Future_Directions/)
Appendices (A–Z, AA–AK)#
- [Appendix A — Glossary](/nl/TriadicFrameworks/docs/Framework_Field_Theory/Appendix_A_Glossary)
- [Appendix B — Dimensional Tables](/nl/TriadicFrameworks/docs/Framework_Field_Theory/Appendix_B_Dimensional_Tables)
- [Appendix C — Operator Index](/nl/TriadicFrameworks/docs/Framework_Field_Theory/Appendix_C_Operator_Index)
- [Appendix D — Regime Maps](/nl/TriadicFrameworks/docs/Framework_Field_Theory/Appendix_D_Regime_Maps)
- [Appendix E — Coherence Tables](/nl/TriadicFrameworks/docs/Framework_Field_Theory/Appendix_E_Coherence_Tables)
...
- [Appendix Z — Field Invariants](/nl/TriadicFrameworks/docs/Framework_Field_Theory/Appendix_Z_Field_Invariants)
- [Appendix AA–AK — Extended Materials](./Appendix_AA_AK/)
Analyzers#
- [FFT Analyzer](./Analyzer/)
- [FFT Drift Analyzer](./Analyzer/Drift/)
- [FFT Regime Analyzer](./Analyzer/Regime/)
- [FFT Operator Analyzer](./Analyzer/Operators/)
Teaching Materials#
- [Learning Path](/nl/TriadicFrameworks/docs/Framework_Field_Theory/Teaching/Learning_Path)
- [Teaching Modules](./Teaching/Modules/)
- [Examples](./Teaching/Examples/)
- [Exercises](./Teaching/Exercises/)
Examples#
FFT includes a growing library of examples:
- dimensional upgrades
- regime transitions
- coherence stabilization
- field‑flow coupling
- observer‑shift transformations
These are located in:
./Teaching/Examples/
License#
TriadicFrameworks — Open Canon License (OCL‑3). Use permitted for education, research, and derivative frameworks.