Research map
The shape of the programme
Seven canonical papers, read in order: six build the source–readout mathematics, and the seventh realizes it in a concrete physical model. A machine-readable version of this map is published at /graph.json.
The dependencies are not a single assembly line. Papers 1–3 form the abstract completion core; Paper 4 realizes it geometrically; Paper 5 is the dynamical layer (deliberately self-contained); Paper 6 integrates everything into a non-source projection theorem; Paper 7 is the physical witness that theorem calls for.
The complete model
One whole. Differentiated from within.
Shadow Theory places source and readout within a larger account: unconditioned ground, unsplit unity, complementary aspects, and their recursive differentiation. This is an order of explanatory dependence; it does not require an external clock before time has a physical realization.
The broader account gives the framework its direction. The formal source–readout mathematics specifies what particular readouts preserve, lose and allow an observer to recover.
Read the beginning-to-end account →Follow-on research · Sealed or Leaky
Preserved in reality. Accessible to whom?
Bell-certified bounds quantify what an initial classical readout leaves unresolved. Reversible constructions separate information preservation from access. Finite-resource witnesses specify when hidden distinctions can reach a retained record.
The complete argument is on the site: all statements, proofs, equations, calculations and references, with the assumptions that make each result hold.
Published programme · September 2026
Where quantum measurement enters
The source–readout foundation identifies what a bounded description retains and what it loses. The measurement programme adds physical constitutions that specify event histories and material records. The relation to the foundation is conceptual; the interaction catalogue, guidance law and initial statistics are additional physical premises.
| Construction | Physical premises | Proved connection |
|---|---|---|
| Pilot medium → | P1–P4 interaction catalogue; independent spatial-gas preparation; finite graph and horizon | Bond currents → exported packets → gas contacts and recombination → controlled complete Bell-path limit → autonomous physical records |
| Massive configuration → | Universal spinor inventory; kinetic-momentum guidance; complete initial equilibrium and finite independent ready stock | Continuous configuration paths → trapped pointers and retained resources → autonomous finite programme → output and archive-history bounds |
Each row is an assumption-to-result chain inside its own constitution. Neither row derives the other's motion law. The TOE monograph remains a separate fixed publication; the integrated quantum monograph preserves the earlier detector and record results alongside both completions.
Consciousness · SPC-2 · Monograph and Papers 2–4
From a certified vessel to a perspective
The source–readout foundation and physical constitutions are antecedents. SPC-2 adds its own psychophysical premises; the awareness-aspect commitment is not derived from physics. Certified realization includes a declared selection doctrine before the constitutive laws apply.
A0 · Awareness
An ontological aspect commitment, distinct from a localized subject or an additional force.
A1 · Admission
Qualifying native organization with executable return and predictive conditions.
A2 · Content
Full endogenous predictive structure across all admitted finite native continuations.
A3 · Continuation
Nonbranching process provenance, with a genuine qualification gap ending the episode.
The finite completion theorem is conditional on these inputs. Realization selection, neural applications and empirical assessment retain their open status. The earlier Consciousness Field account is superseded; its claim inventory is not merged into SPC-2.
2 · Boundaries
Determine what survives perturbation, which information is joint, and when effective interfaces compose.
3 · Interfaces
Measure the distinct demands of model capacity, candidate production, calibration selection and validation.
4 · Realizations
Recover binary coordinates under a declared response model and examine recoding and grain in a bounded SPC-2/IIT comparison.
The canonical sequence
Stage 1 · Non-equivalence
Source–Readout Non-Equivalence: Descent and Equivariant Reconstruction Obstructions
Establishes the foundational distinction: after declared redundancy is quotiented out, the readout presents the source exactly as a quotient while physically invariant relations can fail to descend and equivariant reconstruction can be obstructed.
Hands the descent criterion to Paper 2 (answer maps) and Paper 3 (relation families); its equivariant obstruction returns in Paper 6's reconstruction corollary.
Stage 2 · Target obstruction
Target-Relative Necessity of Completion: When Readout Loss Obstructs, and What a Sufficient Extension Must Retain
Makes obstruction target-relative: a question is answerable from the readout exactly when its correct answer never varies within a readout fiber, and every sufficient extension must separate states with different correct answers, with the joint target image as the coarsest such extension.
Supplies the single-target completion and the flat-U(1) spectral rigidity input that Paper 3 generalizes to families of relations.
Stage 3 · Minimal completion
Canonical Minimal Source Completion: The Coarsest Readout Extension on Which a Nominated Family of Source Relations Becomes Well Defined
Constructs the canonical minimal completion: for any nominated family of invariant source relations, the joint image of readout and relations is terminal among all relation-sufficient extensions, making it the coarsest enrichment on which every nominated relation becomes well defined.
Emits the canonical minimal completion that Paper 4 realizes geometrically; its target-relative minimality is the phenomenon Papers 5 and 6 meet again dynamically.
Stage 4 · Geometric realization
Geometric Realization of Completed Source Relations: Descent, Orbit Spaces, Invariant Relations, and Variational Response in Shadow Theory
Realizes the completion geometrically: compatible local data glue to global fields unique up to bundle isomorphism, invariant relations descend to the orbit space of physical configurations, and relation-dependent actions derive covariant responses in the Einstein, Yang–Mills, and matter equations.
Hands closure, retention, and memory to Paper 5; its orbit-space architecture is one of Paper 6's three standard specializations.
Stage 5 · Projected dynamics
Observable Quotients and Exact Projected Dynamics: Closure, Memory, Minimal Dynamical Completion, and Effective Field Operators
Develops the observable and dynamical layer: an induced observable evolution exists exactly when the dynamics preserve the readout kernel; otherwise the exact projected law carries an unresolved-initial-state term and a memory kernel, with a minimal dynamical completion measuring exactly what must be restored.
Provides the closure criterion, exact memory equation, and minimal dynamical completion that Paper 6 restates as its projected-law dichotomy and Paper 7 instantiates in RS2.
Stage 6 · Identifiability
Non-Source Projection and Internal Identifiability
Integrates the sequence into the non-source projection theorem: an essential non-gauge distinction inside a readout fiber proves non-source projection for the stated model and target, with exact deterministic and statistical identifiability results.
Proves the non-source projection theorem and states exactly what a physical model must supply: a source domain, an equivalence, a readout, a target, and a witness pair.
Witness layer · Physical witness
Bulk-to-Brane Projection, Dynamical Nonclosure, and Observable Residues in Randall–Sundrum Gravity
Within RS2 gravity, Paper 7 proves that identical instantaneous brane readouts can evolve into different futures, derives the exact projected Einstein equation, and links cosmological and weak-field residues through a parameter-free relation.
Supplies that witness in RS2 gravity, derives linked physical residues, and proves exact operational equivalence for brane-only protocols.
Branch results and open targets
Open problems attach downstream of the seven-paper foundation as branch targets. Each identifies a concrete question and the assumptions, method, support, and result a dedicated public record must establish.
The seven-paper foundation
Further targets
Beneath the map: superseded and historical layers
The current seven-paper sequence (July 2026) replaced an earlier six-paper canonical stack (June 2026), whose records remain published and are listed in the paper index as superseded canonical versions. Beneath both lies the original Everything Equation archive, retained as historical background. Where any superseded or historical material conflicts with Papers 1–7, the current canonical sequence controls.