"WHICH SLIT" INFORMATION DURING INTERFERENCE VIA QUANTAL THEORY OF GRAVITY (QTG)


Yarman O. U., Kholmetskii A., Yarman T.

Academia.edu, ss.1-38, 2025 (Hakemsiz Dergi)

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Dergi Adı: Academia.edu
  • Sayfa Sayıları: ss.1-38
  • İstanbul Üniversitesi Adresli: Evet

Özet

This contribution reconsiders, under the purview of our Quantal Theory of Gravity (QTG) (Ann. Phys. 454, 2023, 169346), the historical experiments conducted by Young, Thomson Jr., and Davisson & Germer, along with later setups involving particles that create either an interference pattern or an incoherent distribution, as well as modern tests such as the delayed-choice quantum eraser achieved by Kim et al.. QTG's root integral energy conservation postulate allows for two equations of motion, both conforming to a Newtonian formalism, or straightly leads to the usual full quantum mechanical deployment. Any wave-like scenario can thus be handled either through a derivational path compatible with Quantum Mechanics (QM) or, alternatively, via a projectile-like description by making use of the de Broglie foundational equation hf=γm0∞c^2 (written with the familiar notation). In quantum mechanical diffraction experiments, where quantum objects get distributed to form fringes, we conclude that i) a ubiquitous or collimated broadcast of the wavefront of energy hf shall diffractively spread, whereas ii) the "guided corpuscle" that we call the "core" or "kernel" of relativistic mass γm0∞ riding on it passes through just one slit at a time of, say, a double-slit setup. This will be the case regardless of whether there is a viable way or not to measure which slit m0∞ passes through; that is, without externally disturbing the interference-friendly phase-matching conditions. This complementarity is what we call the two-entity formalism of QTG, and it can be corroborated via a novel experimental proposal that involves a tiltable tabletop entangled particle double-slit arrangement operating in the single-photon regime, where i) the wavefront of energy hf equaling γm0∞c^2 accelerates, and ii) the projectile-like behaving core of rest mass m0∞exp(-a) concentric with it necessarily recoils throughout a gravitational fall owing to the laws of energy and momentum conservation. We thus recover not only the original ansatz of QM in its entirety, but also show that it is possible, even if wave-like conditions persist, to arrive at a fully mechanistical equation of motion for m0∞-whose entangled partner, as guided by the ambient wavefront, conjointly builds up the anticipated probabilistic distribution at the designated backstop.