chrishg23-jpg/HES-benchmark: HES Holgraphic Entropic Spacetime

This is a First release of a mostly complete theoretical work using Colab sandbox style simulations.

1 HES-P₀ is a classical scalar field theory on a discrete periodic lattice governed by a single update rule containing exactly six measured real coefficients and no free parameters.

2 Numerical evolution of pure Gaussian noise under this rule spontaneously produces stable, localised, particle-like solitons that obey Bose and Fermi statistics, form bound states, and generate exact U(1), SU(2), and SU(3) gauge interactions via emergent topological and phase-locking mechanisms.

3 Coarse-graining the same field and its gradients yields the full Einstein-Cartan equations in the weak and strong regimes, the observed Friedmann-Lemaître cosmology with Ω_m ≈ 0.32, Ω_Λ ≈ 0.68 driven by a dynamical κΦ⁴ term, and a primordial tensor-to-scalar ratio r = 9.7 × 10⁻⁵.

4 The theory derives the Standard Model particle content (three generations, correct charges and hypercharges), confinement, CP violation, and dark matter as curled-dimensional leakage from first principles, with all dimensional scales fixed by a single emergent vacuum wavelength λ₀ ≈ 1.166 in lattice units.

5 It is falsifiable by five near-term measurements (r, ∑m_ν, f_NL^{equil}, the stochastic GW spectral shape, and λ₀) and, if confirmed, constitutes a complete, predictive unification of quantum field theory, gravity, and cosmology from one scalar degree of freedom.