articles by PROF. Dr. Golden Gadzirayi Nyambuya
In its bare and natural form, the Dirac Equation describes only spin-1/2 particles. The main purp... more In its bare and natural form, the Dirac Equation describes only spin-1/2 particles. The main purpose of this reading is to make a valid and justified mathematical modification to the Dirac Equation so that it describes any spin particle. We show that this mathematical modification is consistent with the Special Theory of Relativity (STR). From the vantage point of unity, simplicity and beauty, it is natural to wonder why should there exist different equations to describe particles of different spins? For example, the Klein-Gordon equation describes spin-0 particles, while the Dirac Equation describes spin-1/2, and the Rarita-Schwinger Equation describes spin-3/2. Does it mean we have to look for another equation to describe spin-2 particles, and then spin-5/2 particles etc? This does not look beautiful, simple, or at the very least suggest a Unification of the Natural Laws.
At a most fundamental level, gravitomagnetism is generally assumed to emerge from the General The... more At a most fundamental level, gravitomagnetism is generally assumed to emerge from the General Theory of Relativity (GTR) as a first order approximation and not as an exact physical phenomenon. This is despite the fact that one can justify its existence from the Law of Conservation of Mass-Energy-Momentum in much the same manner one can justify Maxwell's Theory of Electrodynamics. The major reason for this is that in the widely accepted GTR, Einstein cast gravitation as a geometric phenomenon to be understood from the vantage point of the dynamics of the metric of spacetime. In the literature, nowhere has it been demonstrated that one can harness the Maxwell Equations applicable to the case of gravitation-i.e. equations that describe the gravitational phenomenon as having a magnetic-like component just as happens in Maxwellian Electrodynamics. Herein, we show that-under certain acceptable conditions where Weyl's conformal scalar [1] is assumed to be a new kind of pseudo-scalar and the metric of spacetime is decomposed as g µν = A µ A ν so that it is a direct product of the components of a four-vector A µ-gravitomagnetism can be given an exact description from within Weyl's beautiful but supposedly failed geometry. My work always tried to unite the Truth with the Beautiful, but when I had to choose one or the other, I usually chose the Beautiful.
At a most fundamental level, gravitomagnetism is generally assumed to emerge from the General The... more At a most fundamental level, gravitomagnetism is generally assumed to emerge from the General Theory of Relativity (GTR) as a first order approximation and not as an exact physical phenomenon. This is despite the fact that one can justify its existence from the Law of Conservation of Mass-Energy-Momentum in much the same manner one can justify Maxwell's Theory of Electrodynamics. The major reason for this is that in the widely accepted GTR, Einstein cast gravitation as a geometric phenomenon to be understood from the vantage point of the dynamics of the metric of spacetime. In the literature, nowhere has it been demonstrated that one can harness the Maxwell Equations applicable to the case of gravitation-i.e. equations that describe the gravitational phenomenon as having a magnetic-like component just as happens in Maxwellian Electrodynamics. Herein, we show that-under certain acceptable conditions where Weyl's conformal scalar [1] is assumed to be a new kind of pseudo-scalar and the metric of spacetime is decomposed as g µν = A µ A ν so that it is a direct product of the components of a four-vector A µ-gravitomagnetism can be given an exact description from within Weyl's beautiful but supposedly failed geometry. My work always tried to unite the Truth with the Beautiful, but when I had to choose one or the other, I usually chose the Beautiful.
Without using the common methodologies of quantum mechanics-albeit, methodologies that always inv... more Without using the common methodologies of quantum mechanics-albeit, methodologies that always involve some demanding mathematical concepts, we herein demonstrate that one can derive in a very natural, logical and trivial manner, Heisenberg's quantum mechanical uncertainty principle on the new phase-space whose name we have herein coined Stochastic Phase-Space. This stochastic phase-space-is a mathematical space upon which we previously demonstrated [2] the naturally implied existence of the First Law of Thermodynamics from Liouville's theorem. In addition to Heisenberg's uncertainty principle, we derive an upper limiting uncertainty principle and it is seen that this upper limiting uncertainty principle describes non-ponderable tachyonic particles. It must have been one evening after midnight when I suddenly remembered my conversation with Einstein and particularly his statement, 'It is the theory which decides what we can observe.' I was immediately convinced that the key to the gate that had been closed for so long must be sought right here. I decided to go on a nocturnal walk through Faelled
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articles by PROF. Dr. Golden Gadzirayi Nyambuya