A Unified Model of Extra Dimensions, Matter Coupling, and Gravitational Wave Deviations

The main point of my model is to explain theoretically and to show evidence that extra dimensions have an impact on our 4-D world. I used a dynamic cosmological constant, which is different than Einstein’s static parameter by being influenced by matter density, which solves the cosmological constant problem and addresses the Hubble tension. My model suggests that extra dimensions interact with gravity, causing energy leakage, and proposes that these dimensions are compactified and influence the behavior of fundamental particles like quarks and leptons. A new formula is presented to describe the vacuum state, energy variations, stress-energy tensor, matter coupling, and gravitational wave interactions in these higher dimensions. The dynamic purpose of the constant is captured in an evolution equation, depicting it as self-regulating based on cosmic matter density and extra-dimensional effects. Meaning it is time-dependent. Empirical evidence is used through LIGO gravitational wave data analysis, where significant deviations from General Relativity’s predictions are observed, suggesting an unknown force or extra-dimensional effects influencing gravitational waves. The consistent phase shift in the LIGO data is 20 million times larger than what General Relativity predicts, a 0.002 phase shift in radians hinting at either an incomplete understanding of GR or the influence of extra dimensions or a new force. The model speculates on the existence of eleven dimensions, with six compactified dimensions potentially organizing quarks, and three for leptons, aligning with string theory and M-theory concepts. The eleventh dimension is proposed as a temporal dimension, non-physical in nature, possibly serving as the 'bulk' where higher-dimensional interactions occur. I also conclude that this approach not only explains several cosmological anomalies but also suggests a need to rethink our current understanding of the universe’s structure, its expansion, and the current four fundamental forces. Citations from recognized works are provided to ground my model’s claims in existing theoretical frameworks.