Abstract
This comprehensive review article explores the development of a theoretical framework for a Theory of Everything (TOE), known as L_TOE. L_TOE aims to unify the fundamental forces, particles, and speculative elements within a single mathematical expression, addressing one of physics’ most profound challenges. The article discusses the integration of key Lagrangians for gravity, quantum mechanics, electromagnetism, strong and weak nuclear forces, a Grand Unified Theory (GUT), particle physics, and quantum gravity, along with additional terms for uncharted aspects of the universe. Each term within the expression represents a Lagrangian capturing the core principles and behaviors of the corresponding force or phenomenon. Additionally, L_additional recognizes the potential necessity of elements like higher-dimensional geometry, dark matter, dark energy, supersymmetry, cosmological constants, renormalization techniques, symmetry principles, an unification energy scale, operator formalism, and advanced mathematical frameworks for a comprehensive TOE.
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