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[2] viXra:2610.0093 [pdf] submitted on 2026-10-25 14:01:16
Authors: Martin Kraus
Comments: 4 Pages.
Since the 1930s, a correction to the non-relativistic Bohr-Sommerfeld model of hydrogen-like atoms has been known, which aligns many predictions of this model with the predictions of the non-relativistic spinless Schrödinger equation for hydrogen-like atoms. In particular, the orbital angular momentum of electronic orbits in the corrected Bohr-Sommerfeld model match the orbital angular momentum of the corresponding single-electron wave functions that solve the mentioned Schrödinger equation. However, the only known justification for this correction has been the improvement of the predictions of the Bohr-Sommerfeld model. The present remarks revisit this correction in the context of a recently proposed vibrational interpretation of the Schrödinger equation, which provides a physical reason for this correction. Furthermore, numerical results are presented that support a previously hypothesized relation between nodal patterns in single-electron wave functions and corresponding de Broglie-wave-analyzed orbits provided that the mentioned correction is employed.
Category: History and Philosophy of Physics
[1] viXra:2610.0001 [pdf] submitted on 2026-10-01 19:01:14
Authors: Tariq Khan
Comments: 10 Pages.
A speculative essay on the nature of song lyrics and song melodies answering the question of "why humans love music." A proposed shared human subconscious mind can understand language but, while it can communicate with the sleeping mind via images in dreams, it can only communicate to an individual’s awake mind via what appear to the individual as a random recall of a musical song in working memory. Remarkable lyrics of a given song can thus be used by the subconscious as a means to communicate to an awake mind. A theory of subconscious communication, from Cormac McCarthy’s essay The Kekule’ Problem and the research of Jeff Hawkins showing the human brain storing sequences of patterns including songs, is used to support the proposal. Music is considered as "primordial change" or as being equivalent to a fundamental encoding of change in a quantum or digital universe. Music is proposed as possibly being the boot code for any experience.
Category: History and Philosophy of Physics
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