We introduce a coherent theoretical framework that fully explains and links together all physical aspects of the universe making it a suitable candidate for one of the most cherished goals in physics, i.e., 'Theory of Everything'. Working completely within the domain of classical mechanics, we develop this framework by utilizing the tools of Geometric algebra (spacetime algebra). We demonstrate how various theories of quantum mechanics, along with Maxwell's equations, like Dirac equation, Schrödinger's equation, Matrix mechanics, etc., can be derived directly from this framework. We reinterpret special relativity theory and conclude that Galilean invariance is not a limiting case of Lorentz invariance. This framework, endowed with the concept of special theory of relativity, enables us to derive a modified energy-momentum relation, Lorentz force law and a general formula for redshift. We also demonstrate how gauge invariance is just another variation of special theory of relativity. Moreover, we show how gravity can be explained, within this framework, by a modified flat Minkowski metric and without resorting to the curvature of spacetime concept of Einstein. We present how cosmological phenomena like cosmological redshift can be explained by simply using this modified flat Minkowski metric and the general formula of redshift without employing other metrics like the FLRW metric. As a whole, our discussion, ranging from quantum mechanics to cosmology, demonstrates the utility and validity of the presented framework. Additionally, we construct a framework for thermodynamics to explain and provide a foundation to thermodynamic laws. Finally, we derive a modified Navier-Stokes equation with the help of the tools presented in this paper.

In this paper we introduce a generalized wave function of a quantum system which encompasses both wave nature and particle nature, simultaneously, in one function. With the help of these wave functions we reinterpret quantum mechanics in a more generalized and comprehensible way. In this new framework, we can do away with concepts like superposition principle and wave function collapse of quantum mechanics as all the quantum states are inherently present in the wave function. We also derive the canonical commutation relation and obtain the Heisenberg uncertainty principle directly from this generalized wave function. Finally, by explaining phenomena like quantum interference and electronpositron interaction we demonstrate how one can utilize these wave functions to describe quantum interactions. In the process of explaining electron-positron interaction we also find the reasons for particle-antiparticle asymmetry in the universe.

In this paper we introduce a mathematical framework, developed within the extended classical mechanics setup , which helps us derive quantum nature and the relation E = hν from it. By doing so, we give a solid mathematical foundation to quantum nature and remove the inherent incompatibilities between classical mechanics and quantum mechanics. We also derive Schrödinger's equation with the help of this framework to establish the validity of this framework.