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Shadow Theory

Research status & open problems

These research programmes extend the seven-paper foundation into downstream branches. Each target identifies the question to resolve and the evidence a dedicated public paper must supply: declared assumptions and domain, a reproducible method, mathematical or empirical support, and a precise result.

The Quantum Measurement programme now has published Version 2 constitutive results. Its internal conclusions, declared physical premises and remaining extensions are tracked separately.

The SPC-2 consciousness account supplies a candidate internal constitutive resolution under declared assumptions. Its finite completion result, realization-selection obligations and empirical assessment have distinct status.

Pages may include earlier notes from the Everything Equation era; those are marked as historical drafts and retained as development context.

Constitutive resultsConsciousness / Psychophysical Constitution

Consciousness — SPC-2

SPC-2 develops explicit laws for awareness, perspective admission, lived content and nonbranching subject continuation. The Version 2 monograph establishes its philosophical and constitutive foundation. Papers 2–4 advance the programme through relational-boundary robustness, effective interface learning and binary-realization identification. Their results distinguish reconstruction, physical implementation and phenomenal interpretation, and preserve the stated conditions of each theorem and computational comparison. The original finite completion theorem retains its certified-realization, selection-doctrine and A0–A3 premises. Biological interpretation and empirical assessment remain research targets. The earlier Consciousness Field account remains historical.

Results & research status →
Open problemParticle Physics

Standard Model Structure

Whether the gauge group, fermion content, and family structure of the Standard Model can be constrained or derived within the Shadow Theory programme. A dedicated result would state its assumptions and domain, provide mathematical or empirical support, and identify the exact structure derived. Earlier notes on this page remain historical drafts.

Investigate target →
Open problemParticle Physics

Fine-Structure Constant

Derive a structural account of the fine-structure constant, whose observed inverse is near 137, as a downstream branch result with explicit assumptions, normalization, and an independently checkable prediction. Earlier derivation notes remain historical drafts for reassessment against the seven-paper canonical sequence.

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Open problemCosmology / Particle Physics

Dark Sector

Dark matter and dark-sector structure as branch targets of the programme: identify the source structure, projection mechanism, observable residues, and discriminating tests a dark-sector proposal must establish in a dedicated public record.

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Open problemCosmology

Cosmological Constant

The value and smallness of the cosmological constant / dark energy density, held as a branch target requiring a derived mechanism, normalization, and observable consequences. Earlier framework-era discussion remains historical context.

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Open problemGravitation

Quantum Gravity

A consistent account of gravitation at quantum scales, approached through the programme's source-readout mathematics: which parts of the problem are readout artifacts, which reflect genuine nonclosure of the observable level, and what any proposed account must retain and justify.

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Constitutive resultsQuantum Foundations

Quantum Measurement and the Born Rule

Version 2 publishes two constitutive completions: a controlled pilot-medium Bell-path limit with material records, and a separate massive-configuration construction with guidance and initial-equilibrium premises. The monograph and companion papers state the proofs, finite-resource domains and remaining extensions. Independent assessment and experimental verification remain separate from the internal results.

Results & research status →

Further targets

Open problemParticle Physics

Three Fermion Generations

Why exactly three fermion generations occur. Earlier notes asserting a forced N = 3 result belong to the superseded framework era and are retained as historical drafts; the question is held as an open branch target.

Investigate target →
Open problemParticle Physics

Strong CP Problem

The vanishing or suppression of the QCD vacuum angle, held as an open branch target requiring its own public paper or record.

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Open problemParticle Physics

Yukawa Couplings and Fermion Masses

Structural constraints on Yukawa couplings and fermion mass patterns as a branch target of the programme.

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Open problemMathematical Physics

Spectral Action / Yukawa Gap

The gap between spectral-action-style bosonic structure and realistic Yukawa / fermion-mass data, treated as an open structural question.

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Open problemParticle Physics

Unification Beyond the Standard Model

Whether and how unification structure beyond the Standard Model can be posed as a well-formed completion target in the programme.

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Open problemMathematical Physics

Universal Spectral Fingerprint

Whether a universal spectral signature of admissible structure can be characterized; held as an exploratory open target.

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Open problemFoundations of Physics

Lawhood

What makes a candidate law a physical law. This was the organizing question of the earlier Everything Equation programme; it is now held as a branch target whose earlier treatments are historical background to the seven-paper canonical sequence.

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Open problemFoundations of Physics

Lawhood Necessity

Whether any viable notion of physical law forces a common certification architecture, restated as an open structural question under the seven-paper canonical sequence.

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Open problemMathematics

Mathematical Foundations

The foundational status of the closure, admissibility, and completion mathematics underlying the framework, including its relation to category-theoretic and proof-theoretic foundations.

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Open problemMathematics / PDE

Navier-Stokes Regularity

Global regularity of the three-dimensional Navier-Stokes equations, held as an external mathematical target; earlier notes are historical drafts.

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Open problemStatistical Mechanics

Arrow of Time

The thermodynamic arrow of time examined through coarse-grained readout structure, connecting to the statistical-mechanics instance treated in Paper 1.

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