The Interpretation
Hess's Law is Tau-path invariance — not thermodynamic convention
Hess's Law holds because dΣΤ = 0: the total Tau-field is conserved. Any energy accounting from the same initial to final Tau-state gives the same result, regardless of the intermediate path taken.
P-BH-6 — Born-Haber Tau-accounting for NaCl
ΔH_sub(Na): +108 kJ/mol (Tau-strand separation — metallic lattice)½ΔH_diss(Cl₂): +121 kJ/mol (Tau-mode separation — diatomic)
IE₁(Na): +496 kJ/mol (Tau-mode decoupling — outer shell)
EA(Cl): −349 kJ/mol (Tau-mode capture — shell completion)
U(NaCl): −787 kJ/mol (Tau-field compression — lattice)
ΔH_f(NaCl) = −411 kJ/mol (measured: −411.1 kJ/mol ✓)
Key Propositions
Each step is a distinct Tau-field transition
P-BH-2
Lattice energy is Tau-compression energy. As ions approach lattice spacing r₀, their Tau-fields overlap and compress. The crystal is the minimum-energy Tau-packing state.
P-BH-4
Ionisation energy hierarchy (IE₁ ≪ IE₂ ≪ IE₃) reflects register depth crossing. IE₂/IE₁(Na) = 4562/496 = 9.2 ≈ 3² — the ternary register-crossing factor.
P-BH-5
Electron affinity is Tau-mode completion energy. Cl has 7 outer electrons — one hole short of the {2,3,5} octet (2³) — and filling that hole to 2³ releases capture energy.
The Universal Force of Time — Stephen Daubney — thedaubneyfoundation@gmail.com — Academic Papers