A Second Exact Anchor of the Fermi-Dirac Distribution at the Landauer Information-Energy: Connection to Nernst Thermal Voltage

I identify a mechanism by which Landauer erasure, Fermi-Dirac statistics, and particle hole duality jointly produce the Standard Model fractional charges, reproducing measured baryon charges exactly. I show that the Fermi-Dirac distribution evaluated at the Landauer information-energy yields an exact occupation of 1/3, universal across all tem- peratures, connecting quantum statistics to information thermodynamics. The Landauer energy is thereby identified as a second exact anchor point of the Fermi-Dirac distribu- tion, complementing the well-known algebraic anchor at E = µ. I further extend the substitution from E = µ to E = µ + e · Δψₘ, translating the Fermi-Dirac distribution into the natural coordinate system of a membrane and yielding a closed- form inverse Δψₘ = VT · ln((1 − nFD)/nFD) that shares the algebraic form of the Nernst equilibrium potential. The Infoton framework defines a temperature-dependent information mass m(T) = kB T ln(2)/c², combining Landauer's principle with Einstein's mass-energy equivalence.