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59 lines
1.9 KiB
Markdown
59 lines
1.9 KiB
Markdown
# Ghost Pivot 2 — Core Theory
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This repository is the **core theory layer**.
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Its purpose is to state and eventually prove the substrate-neutral framework:
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- invariant-preserving dynamics
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- latent load and boundary crossing
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- routed multi-subsystem evolution
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- bounded resource competition
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- bounded memory and switching
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- update regimes as general operators
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This repo should remain as close as possible to the *minimal provable core*.
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## What belongs here
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- core definitions
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- core theorems and conjectures
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- proof-oriented notes
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- minimal Lean formalization of the general system
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- substrate-neutral math and notation
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## What does *not* belong here
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- FSC-specific apparatus
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- story-derived case studies
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- language-specific or biology-specific examples beyond tiny toy examples
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- heavy application layers
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- experimental manifold adapters that are not needed to state the theory itself
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## Intended relationship to the extension repo
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The extension repo contains **refinements, applications, and derived constructions**.
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Core claim:
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> the base theory should stand on its own.
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Extension claim:
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> FSC, Stable Islands, domain adapters, and story-derived systems are refinements or instantiations of the core, not the core itself.
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## Proposed structure
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- `docs/` — definitions, axioms, theorem statements, proof sketches
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- `lean/` — minimal formal core
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- `paper/` — main theory manuscript
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## Initial split plan
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### Core
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- state / invariant / latent load / resource / routing / update rule / solver
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- generic reward shaping and boundary functions
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- substrate-neutral adapter interface
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### Extensions (other repo)
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- FSC
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- StableIsland
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- manifold competition built from FSC steps
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- domain adapters
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- social / biological / language case studies
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- story-derived stress tests
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## Guiding rule
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If removing a module would leave the core theory intact, it belongs in the extension repo.
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If removing a module would collapse the theory itself, it belongs here.
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