Skip to content
Shadow Theory

Open problems

These are research targets, held as downstream branches of the six-paper stack. In Shadow Theory, a branch result becomes public framework content only through a branch packet with declared route, status, residues, and claim boundary — so nothing here is presented as solved.

Pages may include earlier notes from the Everything Equation era; those are marked as historical drafts and are not statused claims.

Open problemParticle Physics

Standard Model Structure

Whether the gauge group, fermion content, and family structure of the Standard Model can be constrained or derived as statused branch results of the Shadow Theory programme. Any such result requires its own public branch packet; earlier notes on this page are historical drafts.

Open problemParticle Physics

Fine-Structure Constant

A structural account of the fine-structure constant (the observed value near 1/137), treated as a downstream branch target. No statused public claim is currently licensed; earlier derivation notes are historical drafts pending reclassification through Papers 1-6.

Open problemCosmology / Particle Physics

Dark Sector

Dark matter and dark-sector structure as branch targets of the programme: what completion and compilation discipline would be required to make any dark-sector proposal a statused public artifact.

Open problemCosmology

Cosmological Constant

The value and smallness of the cosmological constant / dark energy density, held as a branch target. Paper 5 contains a schematic effective-route firewall example in this area; it is explicitly not a flagship physics result.

Open problemGravitation

Quantum Gravity

A consistent account of gravitation at quantum scales, approached through the programme's readout/completion discipline: which parts of the problem are readout artifacts, which are certified closure obstructions, and what a statused Tier-1 emission would require.

Open problemQuantum Foundations

Quantum Measurement

The quantum measurement problem reframed through the distinction between bounded readouts and realization structure established in Paper 1, and the obstruction criterion of Paper 2.

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 Earlier notes asserting a forced N = 3 result belong to the superseded framework era and are retained as historical drafts; the question is held as an open branch target.

Open problemParticle Physics

Strong CP Problem

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

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.

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.

Open problemMathematical Physics

Universal Spectral Fingerprint

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

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 Papers 1-6.

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 six-paper stack.

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.

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.

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.

Legacy archive