Master equation and O-ToE:
To explain the presently known experimental facts as well as to predict the presently unknown or unexplored truths about the building blocks of Universe/Multiverse are the major functions of ToE. It is very essential that if everything within the Multiverse can be explained by the single theory, it can be derived and explained mathematically from one basic equation.
This ToE which is the optimization of all presently well-established theories in the definite segments (like the general theory of relativity, quantum mechanics, classical wave mechanics, and thermodynamics) is termed as the optimized theory of everything (O-ToE). In this O-ToE, the basic equation by which all the interactions between all the building blocks of Multiverse either can be derived or can be explained is termed as the master equation.
The requirement of the master equation for ToE:
From the discussion of section-1, it can be derived that all the traditionally known building blocks are primarily made up of the definite total quanta of mass (tqM) (due to the presence of ordinary matter and dark matter) and the definite total quanta of energy (tqE) (because energy is associated with the electromagnetically active matter as ordinary energy; It is either associated with dark matter or associated with the electromagnetically neutral matter as dark energy).
So, for an explanation of this advanced quantum mechanics, an equation is required which can relate qE with qM and explain the interactions of tqE and tqM within every building block of the Universe/Multiverse.
Along with this, the master equation can be converted into a derivation that can relate and explains thermodynamic properties like energy pressure, volume, and mass density of these building blocks of the Multiverse. This new relationship between energy pressure, volume and mass density is required to solve the puzzle created by classical wave mechanics at the quantum level. Therefore, it can solve the problem of the quantum realm.
This equation is helpful to get the solution of all the unsolved questions of science as well as to unify gravity with the other three forces.
This equation can bridge the gap between quantum mechanics, classical mechanics, and general relativity and it can more properly explain the reason behind every interaction between everything within the Universe or Multiverse.
Master Equation:
The equation which relates mass and energy as well as can be converted into an equation having terms energy pressure, volume and mass density can be the master equation.
As per Einstein’s mass-energy relation,
From the equation, it had been previously postulated as well as experimentally well established that mass is converted into energy and energy is interchangeably converted into mass. This equation has become the cornerstone of modern physics.
The equation that shows the relationship between tqM, tqE, and average velocity of tqE, can be considered as the master equation as all presently known elementary particles are made up of the definite tqM and tqE as per O-ToE. So, this equation acts as a fundamental equation that can explain the internal interactions between tqM and tqE present within these elementary particles.
Important Derivation of the Master equation:
As this theory needs to explain the characteristics and the functions of every building block and the interactions with other building blocks, it is very much essential to calculate volume, energy pressure, and mass density of the Building blocks.
If the definite tqE (E) present within a building block of definite volume (V) and definite tqM (m), both sides of the equation can be divided by volume (V). So, from this division, energy pressure (P) of tqE is obtained,
The equation is the derivation of the master equation and it is the base equation of O-ToE.
So, finally, these two equations can explain all the properties of quantum mechanics and classical wave mechanics of all the building blocks of the Universe or Multiverse including presently unknown properties and interactions of dark energy and dark matter with each other as well as with ordinary matter. Therefore, it is possible to explain all the experimental outcomes which have created many incompatibilities as well as considered weird till date.
All of these theoretically explainable, unexplainable & weird experimental outcomes can be explained by the O-ToE which is based on the master equation and its derivation.