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📖 Theory

Formal arguments, working hypotheses, and conceptual essays.

For a reader's selection, start with Essays or Paths through the Notebook. This page is the full research index. Each document states what kind of work it offers; a philosophical essay need not be a derivation or a measured result.

Most of these essays exist for no better reason than that a question interested me intrinsically and wouldn't let go. The status tags and lane conventions are the discipline that keeps that curiosity honest.


Core Framework

The canonical claims and central formalisms of the repository.

  • Foundations Reconstruction — Read first. Rebuilds the project from standard Borel interfaces and Markov kernels; derives structure through prediction; marks the additional assumptions needed for identity, learning, intelligence, and consciousness; and adversarially tests the result against neighboring theories.
  • The Generator Question — Active typed construction and model-identification programme. Its former universal framing is preserved for audit, while the unqualified primitive, generic forward/inverse law, P \(\ne\) NP assumption, and identity reduction no longer define the foundation.
  • Emergence Manifesto v1.3 — An earlier, version-locked emergence claim set with explicit status tags. Read it under the reconstructed foundation; its former generator/P \(\ne\) NP foundation does not take precedence.
  • Thermodynamics of Emergent Orchestration (TEO) — Coupled ODE system: Replicator + Kuramoto + Entropy Budget.
  • System Intelligence Index (SII) — P × R × A, with an optional fourth IP report; one selected instrument for toy tasks.
  • Conceptual Map — Reader map: how the spine, situated, identity, constraint, and consciousness layers connect.
  • The Witness Principle — A costed constructive operator from a remaining candidate class to a distinguishing intervention, with an exact coverage–distinction lemma and learned transfer left open.
  • Competence, Constraint, and Verification — Working synthesis that extends the situated stack with constraints, history, observer-relative tests, and corrective verification; the typed generator remains one causal role rather than the whole explanation.
  • Verification as Reverse Pressure on Construction — Connects replay and proof as non-identical correction loops in which failed verification can revise the definitions and models that produced a claim.
  • Simulation → Theory Map — Which simulation demonstrates which claim, what it does not show.
  • From Trace to World-Binding — Working reader bridge: the epistemic loop as a hypothesized composition of trace, candidate models, construction, world-coupling, intervention, and revision; a spine artifact in the README.
  • Invariance and Identity — Working Note: what survives a declared transformation family, and the projector audit for identity under self-modification.
  • Measurement as Weak Intervention — Working Note: coupling is not identification; four regimes, three of them measured in the benchmark.
  • Decision-Relevant Identifiability — Working Note: class size is not decision risk and information gain is not value of information; exact finite receipts.
  • The Spine as a Discrete Object — Working Note (2026-09-21): one finite setting and twelve definitions, one per spine element, each tagged; the effective-goal-space monotonicity lemma and the irreducibility–lumpability proposition are proved and test-pinned; what resists formalization is tagged speculative.
  • Spine Claims Register — Working Note (2026-09-21): one table of load-bearing claims with formal statement, status in {proved, conjectured, supported, falsified, retracted}, pointer, and falsifier; carries the contradiction ledger of the same date.
  • Thermodynamic Hardware Manifesto — Engineering proposal, not a requirement derived from TEO; listed as speculative.

Substrate & Veto

The thermodynamic constraint layer: why systems must respect physical limits.

Emergence

Structural claims about how local processes produce global behavior.

Identity & Cognition

Operational hypotheses about continuity, binding, and cognition.

Symbiotic Organ Hypothesis

Exploratory architectures for memory, protected difference, and reversible coordination.

Narrative-Adjacent Essays

  • What a World Can Remember — Philosophical essay: a returning song, the difference between a record and an occasion, and an imagined city.

Essays with strong literary voice that bridge theory and fiction.

Reference

Stable reference material, glossaries, and honest assessment.

Optimization

The hinge of the viability arc: what optimization cannot see.

  • Optimization and Its Blindness — Working Note; the hinge essay the README spine names for the viability arc.
  • Effective Goal Space — Working conceptual model: the quotient of goals by behavioural equality on reachable trajectories, relative to a declared coupling and lens.

Computation

Search, construction, and information under the reconstructed foundation.

AI Systems

Mappings from current AI systems to the repository's process vocabulary.

Sub-Frameworks