Brownian Motion of the Quantum States on a String and the Polyakov Action of String Theory: Is String Theory a Quantum Mechanical Model of the Brain?

Abstract

The Brownian motion of a number of quantum states in a compact one-dimensional space is studied via the Wiener fractal measure, and it is shown that the derived path-integral measure coincides precisely with the Polyakov path-integral formula for bosonic string theory. Thus, it is concluded that the Polyakov action of bosonic string theory does not have a unique, distinguishable foundation specifically dedicated to describing the fundamental forces of nature, but rather, it is merely a standard formulation of the Wiener stochastic process for Brownian motion of the quantum states on one-dimensional objects. It is also demonstrated that the time-dimension field is, in practice, the localization of the non-local effects of the coordinate fields. This indicates that the interpretation intended for spacetime fields in the formulation of string theory allegedly faces fundamental flaws in its underlying theoretical aspects. In this regard, we will defend string theory against its experimental flaws in particle physics due to unreliable interpretation of the theory and relate its elaborated mathematical framework to another significant topic: Quantum Brain. ....