We establish the complete Hermitian infrastructure of the H-NED (Hydrodynamic Neuro-glial Electro-Dynamics) framework. This theoretical model demonstrates that interfacial water confined within microtubule (MT) lumens (d ≈ 15 nm) undergoes a field-induced ferroelectric phase transition from frustrated hexagonal ice (Ice Ih, space group P6₃/mmc, residual entropy S₀ = R ln (3/2) ) to ordered orthorhombic ice (Ice XI, space group Cmc2₁, S₀ = 0) at physiological temperature (Tbody = 310 K). We calculate and define the effective critical temperature Tcᵉff = 312 K. The system's dynamics are articulated through a comprehensive, quantified Hamiltonian ĤH-NED = Σ i=1 to 6 Ĥᵢ, integrating non-equilibrium thermodynamics and thermal coherence (Thermo Field Dynamics). Furthermore, we introduce the topological invariant INED = Σ i=1 to N Qₜop^ (i) ∈ ℤ ensuring homotopy protection, the Lorello-Davydov Solitons (ΨLD) for energy transduction, and the Einstein-Lorello equation mapping Ricci flow to synaptic plasticity and learning via Quantum Durotaxis. This foundational manuscript, supported by extensive mathematical proofs in the Supplementary Information, establishes a rigorous physical substrate for resolving clinical pathology mechanisms in neurodegenerative diseases (MS, Alzheimer's).
Romain Lorello (Sat,) studied this question.