Research
The Newly Discovered Topological Theory of Quantum Gravity(TTQG) β A Multiblock Compatibilizer Cum Modifier of the Existing Theories of Physics, Cosmology, Quantum Mechanics and Quantum Computing
The recently discovered topological theory of quantum gravity (TTQG) is projected as a multi block theory having a core central block with multiple sub blocks grafted on the central block. Emerged out from the said central block, the sub blocks are spread all around multiple corners and they are connecting TTQG to most of the principal theories of physics and cosmology. While all the new concepts of TTQG are embedded in the core central block, the sub blocks truly play the role of Γ’β¬Λcompatibilizer'. In this article it has been shown straight forward that each and every sub block is compatibilizing one or the other streams like, e.g., quantum mechanics, the relativity theories, thermo-dynamics, cosmology, quantum computing. etc. and the others. Also, an altogether new Γ’β¬Λspatial and topological interpretation of Quantum mechanicsΓ’β¬β’ have been given in regard to the operability of Γ’β¬Λquantum mechanical operatorsΓ’β¬β’ on the wave function ΓΒ¨. The most of the principal theories of physics and cosmology are Γ’β¬ΛnonΓ’β¬ΒtopologicalΓ’β¬β’ and suffer from the serious problem of Γ’β¬Λformlessness or shapelessness of the physical variables of the universeΓ’β¬β’. In this research article it has been demonstrated that the TTQG apart from its Γ’β¬Λcompatibilizer' action on the other theories of physical science, also acts as a modifier of the said theories through its following inherent broad frame logic and philosophies: 1. The building blocks of the universe are the Γ’β¬Λpush forwardΓ’β¬β’ and the Γ’β¬Λpull backΓ’β¬β’ gravitons and those are originated from the singularity gravitons. 2. The phenomenon of gravitation is the superposition of space inversion fields and the said superposition gives birth to the Γ’β¬Λ singularity gravitonsΓ’β¬β’ 3. The physical variables Γ’β¬ΛtimeΓ’β¬β’ (pull back graviton) and Γ’β¬ΛtemperatureΓ’β¬β’ (push forward gravitons) are entangled to each other in the multiplicative inverse sense. 4. The exchange of forces or the interactions among the gravitons in the universe occur through the well defined quanta. 5. Entropy is a Γ’β¬Λenergy (E) Γ’β¬Βtime (t)Γ’β¬β’ interfering or hybrid concept and the Γ’β¬ΛEtΓ’β¬β’ hybrid governs the 3 different laws of thermodynamics. 6. The parameter of quantum physics, the PlanckΓ’β¬β’s constant Γ’β¬ΛhΓ’β¬β’ is basically the same as the Γ’β¬Λthermodynamic parameterΓ’β¬β’ Γ’β¬ΛSΓ’β¬β’, Γ’β¬Λdegree of randomnessΓ’β¬β’ or Γ’β¬ΛentropyΓ’β¬β’ 7. The Heisenberg's uncertainty principle is converging to the 2nd law of thermodynamics although the said laws have been presented in two entirely different ways. 8. The proper understanding of the phenomena of the massΓ’β¬Βwave dualityΓ’β¬β’ is made through the TTQG depicted Γ’β¬Λuniversal graviton cycleΓ’β¬β’ and Γ’β¬Λ black body radiationΓ’β¬β’ 9. The Γ’β¬ΛQubitsΓ’β¬β’ or the Γ’β¬ΛQuantum bitsΓ’β¬β’ of Γ’β¬ΛQuantum computingΓ’β¬β’ are the entangled Γ’β¬Λcolor gravitonsΓ’β¬β’ of TTQG derived new theory of color physics. 10. The result of superposition, interference and entanglement of Γ’β¬ΛorderΓ’β¬β’ and Γ’β¬Λmass gravitonsΓ’β¬β’ are the Γ’β¬Λgravitational wavesΓ’β¬β’. 11. The dimensionality of the universe is derived through the Γ’β¬Λunification horizon of quantum mechanics and quantum gravityΓ’β¬β’.
Theory of Space Quantization and the Quantum-Level Understanding of the True Logics of the Principles of Thermodynamics and Heat Engines
The recently discovered Topological Theory of Quantum Gravity (TTQG) is basically a Theory of Space Quantization (TSQ) and in this article first of all it has been substantiated that though the laws of thermodynamics, the well-known thermodynamic principles, the operations of heat engines are very much intuitive but they, in their conventional representations, miserably lack the harmony to the quantized Γ’β¬Λspace -timeΓ’β¬β’ of the universe. The well-known thermodynamic parameters, e.g., pressure (P), volume (V), heat content (H), internal energy (U), entropy (S), Gibbs free energy (G) ,Γ’β¬Β¦.etc. and the related physical variables like Γ’β¬ΛtimeΓ’β¬β’ ( t ) and Γ’β¬ΛmassΓ’β¬β’ (m) do exist in the form of Γ’β¬ΛquantumΓ’β¬β’ or Γ’β¬ΛpacketsΓ’β¬β’( referred as Gravitons in TTQG) and those are continuously being exchanged between the so called Γ’β¬Λthermodynamic systemsΓ’β¬β’ and the Γ’β¬Λspace-timeΓ’β¬β’. It has been shown in this article that a Γ’β¬Λthermodynamic systemΓ’β¬β’ and the above said Γ’β¬Λspace quantumsΓ’β¬β’ are very much complimentary and Γ’β¬Λpart and parcelΓ’β¬β’ to each other and a quantum level Γ’β¬Λspace-timeΓ’β¬β’ rich understanding has been made through the TSQ of the true logic behind the standing of the thermodynamic laws and the operations of the heat engines.
A Topological Reassessment of Differential and Integral Calculus beyond Newtonian Frame Works
The conventional subject of Newtonian calculus is purely mathematical, and the concepts, approximations, and theorems employed within it have rarely been connected or correlated with the principles of physics and topology. In this research article, the entire domain of calculus has been revisited through a tripartite lensΓ’β¬βencompassing mathematics, physics, and topology. This research article is based on the following: 1. Topological interpretatio n of Calculus 2. Dimensional perspective of differential calculus: how the variable changes for a mathematical function like xn when the value of n changes from 1 to 2 to 3 to 4Γ’β¬Β¦like this. The variable does not remain to be x only. 3. The physical significance of the Γ’β¬Λdifferential co-efficientΓ’β¬β’(DC) of a function which substantiates that the mathematical expression of DC should not retain the function itself since it is Γ’β¬Λco-efficientΓ’β¬β’. 4. The dimensional invalidity of the tr igonometric theories at zeroor 90-degree values of angle ΓΒΈ of a right angled triangle. 5. Differential co-efficient of trigonometric functions derived based on a novel concept of expansio n -contraction of a cuboid (being composed of perpendicular, base and hypotenuse of a right-angled triangle) through very simple algebraical steps and without using limit theorem, chain rule or quotient rule of the Newtonian Calculus. 6. The problem of Γ’β¬Λcircularity of definitionΓ’β¬β’ of the higher order differential co-efficient of the mathematical functions of Newtonian Calculus and offering a new mathematical expression of higher order differential co-efficient. 7. The concept of integration has been established as a process of hybridizatio n of a mathematical variable in space through rotations or translations. A genuine attempt has been made to unify these perspectives into a singular framework, resulting in the development of a new field: the reassessed topological version of calculus, which is now presented to the global scientific community. The limitations and flaws inherent in Newtonian calculus have been critically examined, logically addressed, and redefined within the broader scope of this newly proposed topological version of calculus.
