Quantum Physics

   

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

Authors: Victor Christianto, Florentin Smarandache

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 of 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 counter-intuitive, this interpretation aligns with E. Schrödinger's initial ideas. This phenomenon could be detected through near-field effects, such as spin supercurrent detector in low-temperature physics experiments. [Various discussions with Robert N. Boyd are acknowledged]

Comments: 10 Pages. Comments and suggestions are welcome.

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[v1] 2025-02-05 22:02:16

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