Lattice Cosmology Simulator — Geometric Wave Theory

Geometric Wave Theory — Dynamic dark energy from net-neutral lattice restoring pressure.
As the universe expands the lattice gas thins (k ∝ R^-α) and voids open, creating a competition that determines the equation of state and a measurable lattice property.

Cosmological Parameters

H₀ (km/s/Mpc)70.0

Ω_matter0.315

Lattice / Lattice Parameters

α (dilution exponent)0.00

k(R) = k₀·R^-α → G(R) = G₀·R^α

Void growth rate k_v3.0

How fast voids form during structure formation

Max void fraction f_v0.80

Key Observables

Transition z_acc (target 0.67)—

Age of universe (target 13.8 Gyr)—

w₀ today (DESI: −0.7 to −1.3)—

w_a CPL drift—

Ω_DE today—

Ġ/G today (bound <10⁻¹²/yr)—

ΔG/G at z=1 (BBN-safe <4%)—

Derived Lattice Property

k(R) = k₀ · R^−α

G(R) = G₀ · R^α

V_node(r) ∝ r^−(α−2) [LJ-type]

k ∝ r_eq^−(α+2) per bond

Best-fit α —

Lattice type —

Hubble parameter E(z) = H(z)/H₀

Equation of state w(z)

DESI 2024 preferred: w₀ ≈ −0.83, w_a ≈ −0.75 (depends on SN catalog)

Deceleration parameter q(z) — acceleration when q < 0

Transition z_acc ≈ 0.67 observed (dashed line)

Gravitational constant G(z)/G₀

Observational bounds: |ΔG/G| < 4% over cosmic history