Physical spacetime has infinitely many ordinary spatial dimensions plus time. Matter occupies up to ten spatial dimensions; all remaining spatial directions are unbound for every particle. Particles are patterns of one field with different dimensional involvement.
The current working geometry is flat. Older curved and projective constructions retain their stated mathematical assumptions. Read the updated sector case for their relation to the current picture.
Foundations
- Bound within, free without
- Particle depth as spatial geometry
- Coupling as higher-dimensional polarization
Orbits and interactions
- Photon transversality at every coordinate depth
- Observer map for the projective electron orbit
- A conditional frame model of electron–nucleus binding
- Tetrahedral geometry from equivalent directions
- A projected-contact route to mode and gauge selection
Mass and mixing
- The mass spectrum selects particle depth
- A covariant self-contact mass operator
- Dimensional constriction and hadronic mass
- Dimensional Constriction and Hadronic Mass — Part 1
- Dimensional Constriction and Hadronic Mass — Part 2
- Dimensional Constriction and Hadronic Mass — Part 3
- Dimensional Constriction and Hadronic Mass — Part 4
- Dimensional Constriction and Hadronic Mass — Part 5
- Dimensional Constriction and Hadronic Mass — Part 6
- Dimensional Constriction and Hadronic Mass — Part 7
- Dimensional Constriction and Hadronic Mass — Part 8
- Dimensional Constriction and Hadronic Mass — Part 9
- Dimensional Constriction and Hadronic Mass — Part 10
- Dimensional Constriction and Hadronic Mass — Part 11
- Dimensional Constriction and Hadronic Mass — Part 12
- Dimensional Constriction and Hadronic Mass — Part 13
- Dimensional Constriction and Hadronic Mass — Part 14
- Dimensional Constriction and Hadronic Mass — Part 15
- Dimensional Constriction and Hadronic Mass — Part 16
- Dimensional Constriction and Hadronic Mass — Part 17
- Dimensional Constriction and Hadronic Mass — Part 18
- Neutrino mass splittings and the simplex spectrum
- CKM mixing from the cross-sector contact operator