Quantized Fractal Space Time and Stochastic Holism

The space time that is used in relativistic Quantum Mechanics and Quantum Field Theory is the Minkowski space time. Yet, as pointed out by several scholars this classical space time is incompatible with the Heisenberg Uncertainity Principle: We cannot go down to arbitrarily small space time intervals, let alone space time points. Infact this classical space time is at best an approximation, and this has been criticised by several scholars. We investigate, what exactly this approximation entails. Over the past several decades, time has been studied by several scholars from different perspectives[1]-[30]. As pointed out in Chapter 3, Newtonian space time was purely geometrical, as compared to Einstein’s physical study of it, whether it be the Minkowski space time of Special Relativity or the Riemannian space time of General Relativity. In almost all these studies, as also in Quantum Field Theory, we still speak of space time points and deal with rigid scales even though the Quantum Mechanical Uncertainty Principle contradicts these notions as discussed in preceding Chapters like Chapters 2, 3 and 6. In the preceding Chapters we have highlighted these shortcomings and have referred to the concept of discrete space time. There is a nuance, though. Discrete space time could still be thought of in the context of rigid minimum E-mail:[email protected]