Research overview

• Common Clocks, Spatial Connectivity and Mechanical Mass — A proposed combined clock, spectral connectivity and rest-mass construction, with its field-realization and selection limits.

• Joint Mass and Ratio Accuracy Under the Fixed IDWT Prescription — Electron-only joint precision comparison, all-rung coverage, overlap correction and a complete reproduction appendix.

• From Particle Masses to Shared Geometry — The Case for Investigating IDWT — A counting rule organizes particle masses by dimensional depth. Spin, clock, color, charge and polarization calculations meet that organization under explicit premises. This account connects the shared geometric structure, its numerical comparisons and explicit field constructions.

• The Case for Investigating IDWT Particle Geometry — A reproducible account of the frequency-pattern discovery, simplex mass law, sector scales, geometric particle properties and compatibility of their assumptions in ordinary ten-dimensional space plus time.

• The Case for Investigating IDWT's Sector Structure — A constrained mass pattern, conditional dimensional discriminators and explicit higher-dimensional field constructions make a reproducible case for investigating depths two, three, four, five, six and ten. The evidence includes results shared by six and ten, with physical assumptions and unresolved selection kept explicit.

• An Introduction to Infinite Dimensional Wave Theory — An accessible introduction to particles of different dimensionalities in one shared higher-dimensional physical space, the constrained mass pattern and the recent geometric and dynamical results.

• Sector Structure Technical Evidence Map — A complete subject map of the earlier sector case, preserving access to its detailed derivations while the front article follows the corrected higher-dimensional spatial picture.

• Research status — Current sector-structure evidence, higher-dimensional geometry, corrected orbit and static-response calculations, and the complete reference-inertia construction, with dated action scopes and open mass-operator requirements.

• Shared Mathematics Builds Contact, Color and Shape Response — Worked combinations connect spatial counting with transport, color with pair response and charge consistency, and angular shapes with their small oscillations.

Topic navigation; Research index lists all notes.

• Frequency-domain review — Corrected frequency-domain conclusions and the remaining hadronic proof target.

• Actual orbit research correction — Restores the actual-orbit target and Coulomb-plus-precession history, separating the existing mechanism from auxiliary models and its unresolved physical source.

• Sector geometry premise audit — Sphere and projective sector models retain explicit conditional geometry assumptions; spatial depth, topology, phase rules, and interaction dynamics require separate justification.

• Electron detection and shape — Localized electron detections and accumulated spatial distributions constrain a measurement model but do not directly reveal a smeared physical electron or select a dimensional ontology.

• Independent correctness audit — Independent recurrence refinement exposes false numerical acceptance, while scope corrections separate valid conditional geometry and conservation tests from physical identification.

• Bounded mass operator and its joint dynamics — Bounded spatial coefficients now support the controlled simplex branch and a derived common shape response; the occupied geometry and the separate localized core still require stable joint dynamics.

• Mass-operator controls at depths three and four — The same spatial operators carry through at depths three and four, while odd surface parity, complete linear response and the bottom two-band assignment constrain their physical completion.

• Spatial mass operator: results and remaining dynamics — A complete normal spatial carrier approaches the simplex frequency and permits polarized coupling tests, while its sustaining source, physical scale relations and complete particle inertia remain unresolved.

• Complete Sector Assignments Under the Fixed Mass Prescription — An exact comparison of all 120 complete sector permutations with fixed masses and scale constraints finds only the maintained assignment at its existing per-particle accuracy, covering every positive integer mode index.

• Count Ratios, Quark Mixing and the Cumulative-Band Test — Two fitted quark mixing magnitudes have simple exact count ratios; a projection identity supplies a conditional bridge, with explicit third-generation and neutrino failures.

• Normal Charge Geometry and the Matter-Depth Availability Test — A six-normal exterior carrier gives the relative charge multiplicities and one explicit occupation rule keeps every assigned matter charge available, without selecting the full depth assignment.

• Polarization Connections to IDWT Sector Structure