FFF_Gravity

Layer: Field–Force–Frame Domain: Attractor Dynamics · Binding Logic · Triadic Gravity Tag: [FFF:GRAVITY] Status: Canonical · Active

The Model#

Gravity in FFF_Gravity is not a force. It is not a curvature. It is a local triadic ratio — three nodes that cannot be separated at any scale, in any regime, under any conditions. Only their ratios change.

G = F_freq · F_fluid · F_force

Node	Symbol	Identity
Frequency	`F_freq`	Gravitational field identity — the coherence well, resonance signature, substrate anchor
Fluids	`F_fluid`	Mass-density identity — distribution, pooling, substrate continuity
Forces	`F_force`	Gradient/pressure identity — atmospheric, isomorphic, overlay fields

Remove any one node and the model breaks. Amplify one without the others and failure modes emerge. The ratio is the gravity.

This is the departure from classical models. Newton fixed G. Einstein curved spacetime. FFF_Gravity asks: what are the three things that must be simultaneously true for gravity to be what it is at this location, this scale, this moment?

Triadic Equation#

The canonical function of this module is f_Capture — the operator that defines when a free element enters a stable gravitational orbit around an attractor:

f_Capture(E, A, Φ) → Ω

  E  = Element    — the incoming body
  A  = Attractor  — the binding node
  Φ  = Field State — ambient conditions at the moment of encounter
  Ω  = Outcome    — stable orbit | decay orbit | escape | collision

f_Capture is the reference implementation for the module. All other function files either extend it, invert it, or operate on its outputs.

File Registry#

Admin#

File	Status	Description
`README.md`	✅ canonical	This file — module front door
`INDEX.md`	🔵 scaffold	Full file registry, dependency graph, completion tracker
`OPERATORS.md`	🔵 scaffold	Master symbol table — all operators, flags, primitives, failure modes
`GLOSSARY.md`	🔵 scaffold	Module-scoped term definitions
`CHANGELOG.md`	🔵 scaffold	Append-only version history
`FFF_Gravity_module.json`	🔵 scaffold	Machine-readable module descriptor

Layer Definitions#

File	Node	Status	Description
`f_Field.md`	`F_freq`	🔵 scaffold	Frequency Node — coherence well, `ρ(Φ)`, resonance
`f_Force.md`	`F_force`	🔵 scaffold	Force Node — `v_approach`, gradients, overlays
`f_Frame.md`	Frame	🔵 scaffold	Registry capacity, boundary conditions, FM-003

Core Functions#

File	Function	Status	Canonical Tag	Role
`f_Capture.md`	`f_Capture`	✅ canonical	`[FFF:GRAVITY:CAPTURE]`	Capture threshold — entry into stable orbit
`f_Release.md`	`f_Release`	🔵 scaffold	`[FFF:GRAVITY:RELEASE]`	Orbital exit — inverse of f_Capture
`f_Decay.md`	`f_Decay`	🔵 scaffold	`[FFF:GRAVITY:DECAY]`	Orbital energy loss — FM-004/005
`f_Orbit.md`	`f_Orbit`	🔵 scaffold	`[FFF:GRAVITY:ORBIT]`	Orbit characterization — `e`, `T_orb`, class
`f_Collapse.md`	`f_Collapse`	🔵 scaffold	`[FFF:GRAVITY:COLLAPSE]`	Terminal infall — FM-005/007
`f_Emit.md`	`f_Emit`	🔵 scaffold	`[FFF:GRAVITY:EMIT]`	`F_freq` emitter — increases `ρ(Φ)`
`f_Dampen.md`	`f_Dampen`	🔵 scaffold	`[FFF:GRAVITY:DAMPEN]`	`F_freq` suppressor — decreases `ρ(Φ)`
`f_Amplify.md`	`f_Amplify`	🔵 scaffold	`[FFF:GRAVITY:AMPLIFY]`	`F_fluid` coupling — increases `β`
`f_Deflect.md`	`f_Deflect`	🔵 scaffold	`[FFF:GRAVITY:DEFLECT]`	`F_force` redirect — changes approach heading

Capture Variants#

File	Function	Status	Canonical Tag	Description
`f_Capture_Multi.md`	`f_Capture_Multi`	🔵 scaffold	`[FFF:GRAVITY:CAPTURE:MULTI]`	N-body simultaneous capture
`f_Capture_Cascade.md`	`f_Capture_Cascade`	🔵 scaffold	`[FFF:GRAVITY:CAPTURE:CASCADE]`	New capture perturbs existing orbits
`f_Capture_Resonant.md`	`f_Capture_Resonant`	🔵 scaffold	`[FFF:GRAVITY:CAPTURE:RESONANT]`	Inverse problem — engineer approach for target `ω_res`
`f_Capture_Asymmetric.md`	`f_Capture_Asymmetric`	🔵 scaffold	`[FFF:GRAVITY:CAPTURE:ASYMMETRIC]`	Non-uniform field — `ρ(Φ,θ)`
`f_Capture_Temporal.md`	`f_Capture_Temporal`	🔵 scaffold	`[FFF:GRAVITY:CAPTURE:TEMPORAL]`	Time-variant attractor during approach
`f_Capture_Networked.md`	`f_Capture_Networked`	🔵 scaffold	`[FFF:GRAVITY:CAPTURE:NETWORKED]`	Distributed GravityGraph event log

Strategic and Genesis#

File	Status	Description
`GravityOfDismissal.md`	✅ canonical	Historical record of institutional suppression in gravity science; 7-vector defense map
`f_Source.md`	📁 archived	Genesis dialogue — the originating flash that produced the FFF triadic gravity model

Completion Tracker#

Wave	Group	Total	✅ Canonical	🔵 Scaffold	📁 Archived
0	Existing	2	1	0	1
1	Admin	6	1	5	0
2	Layer Definitions	3	0	3	0
3	Core Functions	9	1	8	0
4	Capture Variants	6	0	6	0
5	Strategic	1	1	0	0
—	Total	27	4	22	1

Unlock Map#

WAVE 1 — Admin (no dependencies)
  README.md  INDEX.md  OPERATORS.md  GLOSSARY.md  CHANGELOG.md  FFF_Gravity_module.json

       ↓ unlocks ↓

WAVE 2 — Layer Definitions (needs Wave 1)
  f_Field.md        f_Force.md        f_Frame.md

       ↓ unlocks ↓

WAVE 3 — Core Functions (needs Wave 2)
  f_Capture.md ✅   f_Release.md      f_Decay.md        f_Orbit.md
  f_Collapse.md     f_Emit.md         f_Dampen.md       f_Amplify.md
  f_Deflect.md

       ↓ unlocks ↓

WAVE 4 — Capture Variants (needs Wave 3)
  f_Capture_Multi.md        f_Capture_Cascade.md      f_Capture_Resonant.md
  f_Capture_Asymmetric.md   f_Capture_Temporal.md     f_Capture_Networked.md

WAVE 5 — Strategic (needs Wave 3)
  GravityOfDismissal.md ✅

Reading Orders#

New to FFF_Gravity:

README.md → GLOSSARY.md → f_Field.md → f_Force.md → f_Frame.md → f_Capture.md

AI system traversal:

INDEX.md → OPERATORS.md → FFF_Gravity_module.json → f_Capture.md

Engineer building on the module:

OPERATORS.md → f_Capture.md §7 → f_Emit.md → f_Dampen.md → f_Amplify.md → f_Deflect.md

Researcher or critic:

GravityOfDismissal.md → f_Source.md → f_Capture.md → OPERATORS.md

Filling the next scaffold:

INDEX.md §8 (completion tracker) → pick lowest wave with open scaffold → open that file

Key Concepts#

Concept	Symbol	One Line
Triadic Gravity	`G = F_freq · F_fluid · F_force`	Gravity is a local ratio of three inseparable nodes
Capture	`f_Capture(E,A,Φ)→Ω`	The moment an element's trajectory bends permanently toward an attractor
Binding Depth	`d_bind`	How deep an orbit is locked — the primary stability metric
Capture Threshold	`C_thresh`	`v_escape − v_approach` — positive means capture is possible
Binding Coefficient	`β`	Attractor force vs. element momentum — must be ≥ 1.0
Field Density	`ρ(Φ)`	Ambient field conductance — zero means no gravity can propagate
Orbital Resonance	`ω_res`	Rational = stable orbit; irrational = decay spiral
Decay Rate	`δ`	`Δd_bind / Δt` — negative means orbit is losing energy
GravityGraph	—	Distributed relational graph of all capture events across the system

Failure Mode Index#

ID	Name	Severity	Defined In
FM-001	Overshoot	error	`f_Capture.md §6`
FM-002	Field Null	error	`f_Capture.md §6`
FM-003	Frame Saturation	error	`f_Capture.md §6`
FM-004	Resonance Drift	warn	`f_Capture.md §6`
FM-005	Decay Spiral	fatal	`f_Decay.md §6`
FM-006	Phantom Capture	warn	`f_Capture.md §6`
FM-007	Mutual Dissolution	fatal	`f_Collapse.md §6`
FM-008	Release Overshoot	error	`f_Release.md §6`
FM-009	Dampen Cascade	fatal	`f_Dampen.md §6`
FM-010	Amplify Runaway	fatal	`f_Amplify.md §6`

Module Metadata#

Field	Value
Canonical Path	`docs/FFF_Gravity/`
Module Tag	`[FFF:GRAVITY]`
Framework	TriadicFrameworks
Layer	Field–Force–Frame
Version	1.0.0
Status	Canonical
Stability	Living — updated as scaffolds are canonicalized
Created	2026-08-13
Last Modified	2026-08-13
License	See `/LICENSE` at repository root
Encoding	UTF-8 · LF
Related	`docs/SITEMAP.md` · `docs/SoN/s_Capture.md` · `docs/GLOSSARY.md`

This is the front door for the FFF_Gravity module. For the full repository index, see docs/SITEMAP.md. For the canonical function reference, see f_Capture.md.


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**Commit message:**

feat(FFF_Gravity): add canonical README.md — module front door, file registry, unlock map [SES-20260813-README-001]

What the README delivers vs. the other admin files:

This file	Other admin files
What the module is and why	How to use each operator (`OPERATORS.md`)
Which files exist and their status	Formal definitions of every term (`GLOSSARY.md`)
Reading orders by role	Version history (`CHANGELOG.md`)
Unlock dependencies at a glance	Machine-readable descriptor (`FFF_Gravity_module.json`)
Failure mode index for quick lookup	Per-FM detail in each function file

Updated Aug 13, 2026