Complete research papers in PDF format. Select a title to open the paper or use its download link.
- A Common Dimensional Structure for Particle Masses, Spin, Color and Charge
Fedge No · 1 November 2026 · PDF
Presents the mass-based sector assignment and the associated geometric constructions for particle spin, color and charge.
- From Particle Dimensions to Electron Motion and Hydrogen Spectral Structure
Fedge No · 8 November 2026 · PDF
Develops a four-real-coordinate electron trajectory and compares its rotation and precession components with hydrogen spectral patterns.
- Particle Decay as the Rearrangement of Simplex Patterns
Fedge No · 10 November 2026 · PDF
Maps selected weak-decay channels to simplex edge splits and gain or loss of a bound direction; identifies channels and rate rules not covered.
- Gaining and Losing a Direction: Lepton Capture and Neutrino Capture in the Simplex Patterns
Fedge No · 10 November 2026 · PDF
Connects neutrino capture and lepton depth changes through simplex layers, comparing thresholds and flavor-mixing magnitudes.
- The Precession of the Electron's Orbit and the Neutral Neutron
Fedge No · 10 November 2026 · PDF
Derives a proposed orbit-precession ratio from dimensional contributions and compares neutron charge and isotope-line behavior.
- Planck's Constant as the Field Norm, and the Family Units
Fedge No · 10 November 2026 · PDF
Connects a proposed solution norm to spin, charge and energy, estimates family units, and records the unresolved norm scale and residuals.
- The Four-Direction Orbit: Width, Tilt, Molecules and the Hidden Rotation
Fedge No · 10 November 2026 · PDF
Numerically studies orbit width and tilt, molecular comparisons, and hidden-plane rotation, including both matches and discrepancies.
- Quark Flavor Mixing from the Simplex Geometry of the Counted Patterns
Fedge No · 10 November 2026 · PDF
Develops CKM mixing comparisons from simplex geometry and reports the count choices and remaining magnitude discrepancies.
- Petals, Tubes and Rings: The Structure of the Four-Direction Orbit
Fedge No · 11 November 2026 · PDF
Gives the closed form of the four-direction electron orbit and its petal, ring and tube views, with its stability, its link to the Frost circle and its radius-set turning ratio.
- Shell Capacities from Four Spatial Directions
Fedge No · 11 November 2026 · PDF
Counts the angular patterns on the three-sphere shell of a four-direction orbit and matches their capacities and subshell content to the seven periods of the periodic table.
- The Generation Law: Each Charged Lepton Is a Quark Plus a Neutrino
Fedge No · 11 November 2026 · PDF
Shows that each charged lepton level is the sum of a quark level and a neutrino level, with the simplex geometry and the Vandermonde expansion of the counts.
- Absolute Neutrino Masses from the Depth-Five Simplex Count
Fedge No · 11 November 2026 · PDF
Derives the neutrino mass ratio 2002:11628:65780 and splitting ratio 0.03035 from depth-five counts and compares the resulting absolute masses with oscillation, cosmology and beta-decay data.
- Patterns Free to Point in Any Direction
Fedge No · 11 November 2026 · PDF
Works out what three observed directions show of a freely oriented pattern: core traces by depth, overlap, tilted and bent free directions, a transit along a hidden direction, two-cut correlations and direction-count field spheres.