Exploring a Unified Theory of Everything: Combining Gravitation, Quantum Mechanics, Dark Energy, and Extra Dimensions

This paper explores a unified theoretical framework that integrates gravity, quantum mechanics, dark energy, dark matter, and extra dimensions. The proposed model is based on a dynamically evolving scalar field in spacetime, aiming to unify these fundamental interactions into a single theory. The author presents a detailed mathematical formulation, including the total Lagrangian and field equations, to describe the behavior of the scalar field under various conditions. Numerical simulations demonstrate that the model aligns well with observational data, such as the Hubble parameter, and provide insights into the evolution of the universe. Additionally, stability analysis and the study of spacetime curvature near black holes are conducted to further validate the model. Despite its promising results, the model faces limitations, including the need for experimental validation and simplified assumptions regarding the scalar field and its interactions. Future research directions include experimental tests using gravitational wave detectors and high-energy particle colliders, as well as extending the model to incorporate higher-dimensional theories and quantum corrections. This work represents a significant step toward achieving a Theory of Everything (TOE) and contributes to the ongoing quest to unify the fundamental forces of nature.

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نظریه یکپارچه همه چیز ، مکانیک کوانتومی ، انرژی تاریک ، ابعاد اضافی