Open problem: one dynamics for geometry, clocks and matter
Define the central SMM/DTT source problem: one autonomous update that constrains independently measured geometry, clock readings and propagation.
Read the guideThe 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.
Turn a conceptual connection into a research target
These eight pages organize the next mathematical steps: one joint source dynamics, stable locality, a common clock law, compatible quantum composition, normalized couplings, a matter spectrum, a gravitational limit and vacuum selection. Each page states a target, starting results, missing assumptions, a candidate construction and a criterion for success.
Read these as a connected research programme. A toy model is useful when it exposes a freedom that the eventual theory must remove. A structural count can motivate a response calculation; a local bound can motivate a causal limit. The next step is to derive the relevant observable and show that it remains stable under the changes the model permits.
8 connected guides
Open problem: selecting and preserving spatial locality
Stable locality requires a dynamical propagation bound, a persistent neighbourhood structure, and a justified connection to physical distance.
Read the guideOpen problem: why material clocks should share one law
Use the protected-clock theorem and its countermodel to define a source-derived, stable and operationally universal DTT clock law.
Read the guideOpen problem: deriving phase-compatible quantum composition
Extend real-dynamical phase selection into a source-derived rule for composing systems, retaining joint coherence and producing completed records.
Read the guideOpen problem: fixing a normalized physical coupling
Specify the missing response-normalization theorem between the structural 137 receiver and a physically identified SMM/DTT electromagnetic coupling.
Read the guideOpen problem: a source-derived spectrum of matter
Define a common SMM/DTT spectral problem for stable carriers, mass, spin, charge and dispersion, with an exact finite-walk diagnostic.
Read the guideOpen problem: a gravitational limit of temporal generation
Formulate the source-to-gravity problem through geometric response, universal matter coupling, a weak-field example and controlled limiting equations.
Read the guideOpen problem: selecting a gravitating vacuum contribution
Identify what a DTT vacuum mechanism must calculate beyond normalized response, with exact offset, averaging and relaxation tests.
Read the guideSeveral 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 →Why a record count is not yet a coupling
A receiver's static response depends on its source and inverse stiffness, as well as its size. Exact minimization shows why counting 137 records does not by itself determine an electromagnetic coupling.
Read article →Identifiability: can observations determine the model?
Four dimensionless outputs leave two exact parameter directions unresolved in the displayed constants dictionary. The calibration fiber shows which additional diagnostics could distinguish otherwise equivalent models.
Read article →Why normalized response misses absolute vacuum offsets
Normalized responses erase source-independent offsets even when those offsets matter to an absolute functional. The exact obstruction explains why stiffnesses, spectral ratios, and temporal averaging do not alone determine gravitating vacuum energy.
Read article →Why one clock model does not prove universality
Protected and ungated clocks can coexist with the same record geometry while assigning different readings to it. This countermodel shows why constructing one desired clock does not establish a universal material-clock law.
Read article →Programmed geometry and spontaneous selection
A programmed serial source can prepare a periodic lattice and reproduce its local neighborhoods exactly. This establishes feasibility while leaving spontaneous selection, dimension choice, and persistent growth as separate tasks.
Read article →Why a bare source does not imply spacetime
A structureless source cannot select a nonzero metric, an oriented vector or a proper causal cone while preserving every change of representation. Recurrence, composition and observable readout supply the additional structure needed for an SMM/DTT reconstruction.
Read article →A charged threshold is not a full mass gap
A positive charged cycle threshold leaves neutral centralizer modes in the spectrum. The exact finite-operator calculation and projected inequality identify why compact recurrence alone does not establish a full physical mass gap.
Read article →The remaining gap-proof obligation
Finite-volume gaps, curvature masses and screening estimates do not yet establish a volume-uniform quantum gap. This audit identifies the connected-correlation estimate and the additional gauge and continuum matching steps left open in the cited manuscript.
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.