Deterministic Hydrodynamic Transport of Phase-Locked h/2e States in Armchair Carbon Nanotube Field-Effect Transistors

The continuation of sub-2nm CMOS scaling is fundamentally obstructed by thermal dissipation. Historically, this thermal barrier has been attributed to the intrinsic thermodynamic cost of information erasure governed by Landauer's Principle ($E = k_B T \ln 2$). However, this framework erroneously conflates human logical interpretation with the statistical mechanics of multiparticle fermionic ensembles. We demonstrate that thermal dissipation in nanoscale logic is not an informational necessity but a purely mechanical artifact of multiparticle fermionic scattering ($\Omega > 1$). This paper introduces the Carbon Nanotube Field-Effect Transistor (C-FET), an architecture that entirely circumvents statistical thermodynamics by shifting to deterministic macroscopic bosonic transport ($\Omega = 1$). By injecting phase-locked $h/2e$ Cooper pairs into a (10,10) armchair CNT, the charge carriers condense into a single, zero-entropy hydrodynamic wave. To completely eliminate surface roughness scattering from the external ALD dielectric ($HfO_2$), this wave propagates exclusively along the pristine inner $\pi$-orbital boundary of the carbon lattice, functionally analogous to a superfluid Rollin film. Boolean logic is executed via the continuous geometric phase interference of these waves at Palladium contact nodes, registering logical states through perfectly reversible structural hysteresis rather than capacitive charge accumulation. Because the physical transport is governed by deterministic Bohmian trajectories, the incremental change in available microstates across the logic operation remains strictly zero ($\delta \Omega = 0$). Consequently, the C-FET executes logic with perfect energy conservation ($\delta E_{dissipated} = 0$), mathematically invalidating the application of the Landauer limit and providing a strictly conservative electrodynamic foundation for zero-phonon, post-Moore's Law computation.