A Comprehensive Theoretical Framework for Spatiotemporal Influence in Gravitational Wave Propagation and Spacetime Geometry

This thesis presents Spatiotemporal Influence, a novel framework for understanding the propagation of gravitational waves and the structure of spacetime. While General Relativity (GR) has successfully described gravitational wave dynamics and spacetime curvature on macroscopic scales, its linear nature limits its ability to fully capture the complex, nonlinear behavior of gravitational waves, especially in extreme environments such as black hole mergers and the early universe. CIT extends GR by incorporating nonlinear wave propagation, causal feedback loops, and the concept of retro-causality, offering a deeper and more dynamic view of gravitational waves and spacetime. Through the analysis of key gravitational wave events detected by LIGO, Virgo, and other observatories, this thesis tests the predictions of CIT. The results show significant consistency between the observed waveforms and the theoretical predictions of CIT, particularly in the manifestation of nonlinear distortions, frequency shifts, and scaling behavior of spacetime curvature. These findings suggest that gravitational waves do not simply propagate through a static spacetime but actively interact with and influence the structure of spacetime itself, in line with CIT’s predictions. Furthermore, this research introduces the novel concept of retro-causal feedback, where future spacetime configurations can influence past wave dynamics, a feature not captured by traditional linear models. The theory’s incorporation of scaling laws, particularly those governed by the golden ratio, offers a fresh perspective on the self-similar behavior of spacetime and its fractal-like properties in regions of high gravitational wave activity. While the findings support CIT’s core predictions, several aspects of the theory, particularly the retro-causal effects, remain to be fully explored. Future work will involve refining the theoretical models and extending empirical testing with more advanced gravitational wave detectors. This thesis not only advances the understanding of gravitational wave physics but also provides a theoretical foundation that may bridge the gap between classical and quantum gravity, offering new avenues for future exploration in fundamental physics.