Title : Quantal theory of gravity two entity formalism
Abstract:
The Quantal Theory of Gravity (QTG) offers a novel framework for gravitational interactions, rooted directly in the law of energy conservation (C. Marchal et al. Ann. Phys. 454, 169346, 2023). In a manner that right away brings about the de Broglie wavelength relationship λB=h/p, QTG remains in full symbiosis with Quantum Mechanics (QM), inasmuch as being equally applicable to either light or ordinary matter in both wave-like (quantal) and the particle-like (corpuscular) limits. Such a framework leads to all of the results that were historically considered to validate the General Theory of Relativity (GTR) of Einstein. All the same, the conformance between GTR and QTG amazingly transpires only in QTG’s quantal case. In the present contribution, we advance QTG to its two-entity formalism level of development. This is where a wave-like behaving test object of relativitic mass γm0∞ near a host mass must get torn apart into i) an accelerating wavefront of energy hf=γm0∞c2 (written following de Broglie’s foundational premise) which operates locally, and this is precisely why the proper rest mass m0∞ appears in the latter equality, ii) a corpuscular constituent of overall relativistic energy c2=Constant, necessarily recoiling, where we call the core or kernel, as tracked by the distant observer; is the rest energy decrease factor of m0∞c2 in gravity. The energies hf and are the two different i) wave-like and ii) particle-like properties associated with the given object, in gravity. The splitting occurs through a rest mass exchange, between the straggling core of overall relativistic energy γm0∞e-c2 and the throttled wavefront of energy hf, in full conformity with the laws of energy and momentum conservation. We derive specifically the equations of motion for both the wavefront hf and the core m0∞e- vis-à-vis, respectively, a fixed local observer and a remote observer situated outside of gravity. If the test object at hand does not delineate any wave-like behavior in gravity, such as is the case of high-energy γ-quanta, QTG predicts the nullification of gravitational bending. This finding can be explained under neither GTR nor other purely metric theories of gravity, and engenders an important aspect in regards to experimentally testing of QTG against metric theories including GTR. QTG is moreover applicable to all bound fields, and provides an answer to the dark energy quandary in conformance with the empirically ascertained accelerated expansion rate of the universe, though getting weakened as 1/r2, where r is the distance from Earth, in full harmony with what is measured recently.
