Audio explorations of the Pentagon Physics programme — from the single axiom to every constant in nature.
How does a single self-referential axiom predict the masses of exotic atoms? This episode walks through the 600-cell geometry, the bridge-line algebra, and the cascade that locks every nuclear mass to a theorem — not a measurement.
What if the physics we observe is the three-dimensional shadow of a four-dimensional geometric structure? This episode explores how a single self-referential axiom casts the constants of nature as projections of 4D polytope geometry.
The E₈ root system decomposes into two 600-cells sharing a common D₄ substructure. This episode walks through how that twin-cell architecture becomes the atom — protons filling one cell, neutrons the other, with the D₄ bridge as the strong force and the Galois boundary as the electron. All seven magic numbers drop out; the eighth is predicted at 184.
A single self-referential equation — σ = 1/(1+σ) — forces a number field, a symmetry group, a polytope, and a spectrum. Three peer-reviewed theorems (Chentsov, Brody–Hughston, Jacobson) then do the rest: the same Fisher–Rao metric read one way gives the Schrödinger equation and read another gives the Einstein field equations. Two frameworks, one metric, one equation.
What if gravity isn't a separate force, but electromagnetism that escaped the confinement cage? This episode walks through the derivation α_G = α¹&sup8; × 12/7 — gravitational coupling as light leaking through eighteen eigenmode screens in series. The hierarchy problem dissolves: it is the price of leaving.
The 600-cell — a four-dimensional polytope with 120 vertices, 720 edges, and 600 tetrahedral cells — is the mathematical lattice from which all of physics emerges. This episode explores how the adjacency spectrum of this single object encodes the fine structure constant, particle masses, and every fundamental constant as geometric theorems.
New episodes exploring the axiom, the constants, and the geometry behind the Standard Model.