Theoretical Investigations into the Fundamental Understanding of the Nature of Time, Gravity and Dynamics

ABSTRACT

The origins of dynamics, the physical basis of time asymmetry and the nature of gravity are all considered in the model discussed in this paper. The theory takes entropy as not a sheer thermodynamic property but rather considers it as a Quantum Field Theoretic property that emanates from a fundamental field. Also it is quantized, the most fundamental unit being the value of the Boltzmann constant. Ab initio the reason for entropy being a quantum field property is systematically argued. We explicitly show how the fields gain the property of entropy. First and foremost, we get rid of the Penrose-Hawking Big Bang singularity involving all spacetime, by proposing the existence of closed timelike geodesics below the Planck scale since that’s where GR ceases to function. We argue that this corresponds to a breaking of Lorentz covariance symmetry below the Planckian scale. We then explicitly show this symmetry to be broken and then obtain an anomalous current that is non-conserved; we later demonstrate that this is the non-conserved entropy current. This explicitly shows the Planckian nature of the irreversible thermodynamics that yields entropy currents. The static vortex gauge theory that interacts with the entropy endowing actually gives a degree of randomness to the field and endows it with dynamics and gives it the ability to give dynamics to all the other fermionic and bosonic fields including gravity. The acquiring of the property of mass by this field via the Anderson-Higgs mechanism makes the dynamics finite. The positivity of entropy and the mass make the dynamics finite and time asymmetrical. Finally we construct a Hamilton-Volterra system of equations and imposing a special gauge which we call the ”Pauli Gauge”, and then consider the diffusion of curvature mathematically defining it by the Ricci flow, we deliver the pure gravity Einstein field equations. This paper all in all represents a model that gives a new way to think about the origins of dynamics, asymmetry of time, nature of gravity and the finiteness of dynamics.

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