Particle Spectrum Explorer
Explore the full IDWT particle mass spectrum. See how the simplex numbers S(n,d) build the six sector ladders and where each SM particle sits within them.
Atomic Orbitals as CP³ Projection
Hydrogen orbital families s, p, d, f as projections of the electron's CP³ sector geometry. Visualises the observable and hidden-sector states in each shell, with derivations of the Bohr spectrum and selection rules.
The Sector Tower
The six active sectors d=2…10 as a 3D tower. Click any sector to read its geometry, symmetry group, spinor type, coupling, and the particles that live in it — with the inactive d=7,8,9 band shown as the gap the chain skips.
The Hopf Fibration
The S¹ → S³ → CP¹ chain as linked circles in 3D. The circle fiber is the U(1) of electromagnetism; the base is the d=2 sector; the chain is what opens the IDWT sector set.
The Coupling Web
Which sectors couple, and through which interaction — laid out as a 3D diamond. Electromagnetism and the weak coupling run to the d=2 bosons, colour joins the quark sectors directly, gravity reaches them all, with a toggle for each force.