Ghost Pivot 2 — Core Theory

This repository is the core theory layer.

Its purpose is to state and eventually prove the substrate-neutral framework:

invariant-preserving dynamics
latent load and boundary crossing
routed multi-subsystem evolution
bounded resource competition
bounded memory and switching
update regimes as general operators

This repo should remain as close as possible to the minimal provable core.

What belongs here

core definitions
core theorems and conjectures
proof-oriented notes
minimal Lean formalization of the general system
substrate-neutral math and notation

What does not belong here

FSC-specific apparatus
story-derived case studies
language-specific or biology-specific examples beyond tiny toy examples
heavy application layers
experimental manifold adapters that are not needed to state the theory itself

Intended relationship to the extension repo

The extension repo contains refinements, applications, and derived constructions.

Core claim:

the base theory should stand on its own.

Extension claim:

FSC, Stable Islands, domain adapters, and story-derived systems are refinements or instantiations of the core, not the core itself.

Proposed structure

docs/ — definitions, axioms, theorem statements, proof sketches
lean/ — minimal formal core
paper/ — main theory manuscript

Initial split plan

Core

state / invariant / latent load / resource / routing / update rule / solver
generic reward shaping and boundary functions
substrate-neutral adapter interface

Extensions (other repo)

FSC
StableIsland
manifold competition built from FSC steps
domain adapters
social / biological / language case studies
story-derived stress tests

Guiding rule

If removing a module would leave the core theory intact, it belongs in the extension repo. If removing a module would collapse the theory itself, it belongs here.

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