Why a record count is not yet a coupling
Explain why the static response depends on the source and inverse response operator, not simply on the number of records. This is the central bridge required by the coupling proposal.
Read article →The next mathematical and physical results
Where would a new result change the theory?
The most useful open problem identifies a specific missing implication. This page gathers the places where SMM/DTT needs a source mechanism, an additional theorem, or an independent observable to connect its existing constructions into a more predictive physical framework.
Several targets are closely linked. A source must generate stable local relations, select the clock response shared by matter, and fix interaction normalization through the same dynamics. Constructing one example establishes consistency; explaining why the relevant class is selected removes a physical freedom. Countermodels help locate that distinction precisely.
Other targets concern the reach of established calculations. A finite response need not identify its internal receiver, normalized data cannot determine an absolute vacuum offset, and positive regulated gaps need uniform control before a continuum claim follows. Each problem points to a concrete next result, allowing progress to be assessed by what new constraint it adds.
Select the common source
Find dynamics that links geometry, clocks, and matter without independently loading their agreement into separate interfaces controlled by the same executor.
Close the physical dictionary
Derive source-visible response, charged-sector energies, and absolute geometric coefficients together, then identify measurements that resolve the remaining dimensionless freedom.
Control the limits
Preserve locality, stable records, particle content, and quantitative bounds as volume, resolution, and regulator change, with explicit tests of each limiting claim.
Continue with the articles
All 220 articles →Identifiability: can observations determine the model?
Explain why a collection of observable constants can leave parameter directions unresolved. Use the draft’s two remaining directions to distinguish a good fit from unique reconstruction.
Read article →Why normalized response misses absolute vacuum offsets
Explain the obstruction to inferring gravitating vacuum energy from normalized completion response. Adding an invisible offset exposes information that the response alone cannot determine.
Read article →Why one clock model does not prove universality
Use the ungated-clock countermodel to show that a realizable clock law need not be physically universal. Explain the extra selection principle required for all material clocks to agree.
Read article →Programmed geometry and spontaneous selection
Compare the draft’s explicit torus preparation with a mechanism that would naturally select geometry. A constructive example proves feasibility while leaving the physical origin of its program open.
Read article →Why a bare source does not imply spacetime
Introduce the obstruction showing that source order alone lacks enough structure to fix Lorentzian geometry. Use it to explain the role of the reconstruction’s additional assumptions.
Read article →A charged threshold is not a full mass gap
Explain the importance of neutral modes and centralizer kernels when interpreting a cycle spectrum. A positive threshold in one sector need not gap every physical excitation.
Read article →The remaining gap-proof obligation
Summarize the draft’s distinction between finite-volume constructions, screening results, and a volume-uniform quantum gap. Explain the connected-expansion step that remains unproved and the separate gauge-matching problem.
Read article →Keep following the question.
The glossary explains the vocabulary; the reading paths connect the ideas; the source register points to the original arguments.