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