Research programme
These research targets 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.
Pages may include earlier notes from the Everything Equation era; those are marked as historical drafts and retained as development context.
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 →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.
Investigate target →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.
Investigate target →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.
Investigate target →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.
Investigate target →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.
Investigate target →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 Earlier notes asserting a forced N = 3 result belong to the superseded framework era and are retained as historical drafts; the question is held as an open branch target.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 →The vanishing or suppression of the QCD vacuum angle, held as an open branch target requiring its own public paper or record.
Investigate target →Structural constraints on Yukawa couplings and fermion mass patterns as a branch target of the programme.
Investigate target →The gap between spectral-action-style bosonic structure and realistic Yukawa / fermion-mass data, treated as an open structural question.
Investigate target →Whether and how unification structure beyond the Standard Model can be posed as a well-formed completion target in the programme.
Investigate target →Whether a universal spectral signature of admissible structure can be characterized; held as an exploratory open target.
Investigate target →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.
Investigate target →Whether any viable notion of physical law forces a common certification architecture, restated as an open structural question under the seven-paper canonical sequence.
Investigate target →The foundational status of the closure, admissibility, and completion mathematics underlying the framework, including its relation to category-theoretic and proof-theoretic foundations.
Investigate target →Global regularity of the three-dimensional Navier-Stokes equations, held as an external mathematical target; earlier notes are historical drafts.
Investigate target →The thermodynamic arrow of time examined through coarse-grained readout structure, connecting to the statistical-mechanics instance treated in Paper 1.
Investigate target →