Deformation of the Dirac Equation

In this paper, we will first clarify the physical meaning of having a minimum measurable time. Then we will combine the deformation of the Dirac equation due to the existence of minimum measurable length and time scales with its deformation due to the doubly special relativity. We will also analyse this deformed Dirac equation in curved spacetime, and observe that this deformation of the Dirac equation also leads to a non-trivial modification of general relativity. Finally, we will analyse the stochastic quantization of this deformed Dirac equation on curved spacetime.