Superconductivity, Superfluidity, and Bose-Einstein Condensation in Energy-Efficiency Theory: Inertial Inheritance of Macroscopic Quantum Constraints

Superconductivity, superfluidity, and Bose-Einstein condensation (BEC) are macroscopic quantum phenomena where particles behave coherently. In the Standard Model, they are described by broken symmetries and order parameters. Yet their underlying unity—why they occur at low temperatures, why they exhibit zero resistance/viscosity, and why they persist without energy input—lacks a first-principles ontology. This paper develops a unified interpretation within Energy-Efficiency Theory (EET). Starting from Yang's Axioms, we propose that these phenomena are instances of inertial inheritance: once a macroscopic quantum constraint (Cooper pairs, condensate) is formed, it can persist without continuous energy input under suitable conditions. We provide a rigorous proof of the dissipationless evolution theorem from quantum scattering theory, showing that when the constraint barrier Eb≫kBTEb≫kBT, the scattering matrix element vanishes, leading to exponential suppression of dissipation. The critical temperature TcTc is derived from the escape tendency formula, unifying BCS, BEC, and superfluid transitions. The framework is extended to extreme conditions (high pressure, strong magnetic fields, low dimensions) and validated against experimental data for conventional superconductors, liquid helium, ultracold atoms, high-TcTc cuprates, and neutron star superfluidity. Quantitative fits with MCMC yield parameter constraints and statistical comparisons to BCS theory, demonstrating superior parameter economy (ΔAIC>26ΔAIC>26). Testable predictions include pressure-dependent TcTc, magnetic field suppression, and dimensional scaling.