Primordial Particle Formation and Standard Model Parameters from 8-Dimensional Lattice Geometry

We address two fundamental questions: (1) how do particles come to exist, and (2) why do they have the masses they have?

For the first question, we show that particles emerge as frozen fluctuations during cosmological cooling: when χ₀(t) increases (Big Bang cooling), random energy fluctuations become trapped in χ-wells as confining walls form around them. Numerical simulations confirm this mechanism: 4 of 5 tests produced 3-72 stable particles from random initial conditions.

For the second question, we derive Standard Model parameters from the geometry of an 8-dimensional phase space lattice. The fundamental constant X = (3/2)π⁴ = 146.11 emerges as X = 36 × V₈, where V₈ = π⁴/24 is the unit 8-sphere volume.

Key results:

• Fine structure constant: α⁻¹ = X − 9 = 137.11 (0.06% error)
• Proton-electron mass ratio: mₚ/mₑ = 6π⁵ = 1836.12 (0.002% error)
• Muon-electron ratio: mμ/mₑ = (3/2)(X−9) = 205.67 (0.5% error)
• Tau-muon ratio: mτ/mμ = (17/10)π² = 16.78 (0.25% error)

The 8 dimensions correspond to: position (3), momentum (3), time (1), and χ-field configuration (1).

These results suggest that particles are not fundamental entities but emergent structures: they form through cosmological cooling and their properties are determined by 8-dimensional phase space geometry.