The Volumetric Beat as a Discrete Step of Physical Change: A Testable Formulation within a Constant-Density Ontology
Year: 2025
Type: preprint
Abstract: This paper introduces the concept of the Volumetric Beat as a discrete and testable geometric unit of physical change in a universe governed by a constant and universal mass density.Within this ontology, space is not a continuous manifold but a lattice of volumetric cells whose local axes dilate or contract under mass condensation to preserve global density. The Beat represents the minimal geometric propagation step between adjacent cells, mediated at velocity c. Unlike the notion of time in relativity, the Beat is not a primitive coordinate but an emergent measure of ordered geometric change. Gravitational time dilation, redshift, and geodesic bending emerge as local dilations of the Beat field. A conformal metric formulation is introduced through a dilation field φ(x), leading to least-Beat trajectories as geodesics of an effective conformal geometry. A phenomenological scaling law parameterized by α reproduces the Schwarzschild redshift for α = –½ (General Relativity limit) while allowing for testable deviations. The framework thus becomes explicitly falsifiable through astrophysical observations such as white dwarf spectroscopy and relativistic stellar orbits near Sgr A*. Context and Relation to Previous Work This paper extends and refines the conceptual framework first introduced in The Constant Density Model of Gravity (Kaczorowski, 2025).It is intended as a self-contained, more rigorous formulation of the Constant-Density Ontology, unifying the discrete and geometric interpretations of time, space, and gravitation. Scientific Significance Proposes a discrete geometric ontology of physical evolution (“Volumetric Beat”) Reproduces gravitational redshift in the weak-field limit Defines an effective conformal metric gij=φ2δijg_{ij} = φ^2 δ_{ij}gij=φ2δij Introduces a phenomenological deviation parameter α (falsifiable) Connects ontological density invariance with measurable curvature effects Suggests an emergent interpretation of time as Beat accumulation
Author: Kaczorowski, Alain
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7108610084
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