Ralf Meelker · 2026

Precausal Substrate Theory

The Casimir discreteness correction

PST correction ξ(d₀/d)² vs plate separation — the d⁻⁶ signal that departs from standard QFT

detectable todaynext-gen experimentsbelow current sensitivity1% — current limit at d = 160 nm0.19% — PST signal at 160 nmd₀ = 7 nm50 nm5102050100200500plate separation d (nm)0.01%0.1%1%10%100%PST correction ξ(d₀/d)²PST d⁻⁶ correction (d₀ ≈ 7 nm)

Vacuum between the plates

d9 vacuum field modes
Plate separation d160.0 nm
PST correction0.191%
d₀ / d ratio0.044
Within next-generation reach (>0.19%)
δP = −ξ π²ℏc d₀² / (240 d⁶)
correction = ξ(d₀/d)²
d₀ ≈ 7 nm from PST dimensional reduction: d₀³ = ℓ★⁵/ℓ_P² with M★ ≈ 1.25 TeV (electroweak scale, N = 3 compact substrate dimensions)
v10.0