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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

A candidate internal constitutive resolution under declared assumptions: certified realization and a selection doctrine support A0–A3, which specify awareness, perspective admission, lived content and nonbranching subject continuation. The finite completion theorem is conditional on these inputs. Realization selection, biological interpretation and empirical assessment remain open obligations; the publication reports no new neural-data validation. SPC-2, Version 2, supersedes the earlier Consciousness Field account.

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.

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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.

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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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