Regional Vibrational Configurations in Spacetime: A Chladni-Inspired Framework for Cosmological Structure Formation

This dissertation introduces a novel theoretical framework in which spacetime is conceived as a dynamic, vibrating fabric exhibiting regional vibrational modes analogous to the Chladni figures observed in classical acoustic experiments. We hypothesize that distinct regions of the universe oscillate at characteristic frequencies, producing configuration patterns that could account for large-scale structure formation, cosmic anisotropies, and potentially bridge quantum and relativistic physics within a unified vibrational paradigm. Drawing inspiration from Ernst Chladni’s seminal 1787 investigations of resonant pattern formation and extending this analogy to the four-dimensional geometry of spacetime, we construct a mathematical formalism that integrates general relativity, quantum field theory, and harmonic analysis. Within this framework, the fundamental fabric of spacetime oscillates with locally varying frequencies, giving rise to nodal and antinodal regions whose distribution governs the large-scale matter patterns observed in the cosmic web.