Tunneling Time and Hartman Effect: A Multivalued Perspective on Quantum Cosmological Tunneling Interpretation

Abstract

The present article is dedicated to Robert N. Boyd, PhD, with whom we have discussed several exotic subjects in physics, including interstellar travel, med beds for future medicine, and the Pleiadian council. While we appreciate and admire his vast experience and involvement in several high-profile experiments, we respectfully disagree with his use of the Rodin coil with a special design to shrink the traveling time needed to traverse galaxies through the concept of folded space. We previously argued for a connection between the Navier-Stokes and Schrödinger equations, then used standard tunneling time theory [1, 2]. Here, we propose an alternative interpretation of the Hartman effect in tunneling, suggesting that it represents the multivaluedness of solutions to the Schrödinger equation. This implies that an electron or entity can exist in two places simultaneously, explaining how an entity can seemingly appear on the other side of a tunnel almost instantaneously upon initiating a quantum tunneling experiment. While counterintuitive, this interpretation aligns with Schrödinger's initial ideas. This phenomenon could be detected through near-field effects, such as a spin supercurrent detector in low-temperature physics experiments.