Phase Space Gauge Principles and Universal Consequences for Physics and Space-Time

          @misc{ pirsa_PIRSA:11010091,
            doi = {10.48660/11010091},
            url = {https://pirsa.org/11010091},
            author = {Bars, Itzhak},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Phase Space Gauge Principles and Universal Consequences for Physics and Space-Time},
            publisher = {Perimeter Institute},
            year = {2011},
            month = {jan},
            note = {PIRSA:11010091 see, \url{https://pirsa.org}}
          }
          

Abstract

Hints for the possibility of two times emerged in M-theory in 1995. If taken seriously this required new concepts that could solve unitarity (ghost) and causality problems so that physics could be described sensibly in a spacetime with two times. The necessary concept turned out to be a gauge symmetry in phase space. This is an unfamiliar concept, but is one that extends Einstein's approach to the formulation of fundamental equations of physics, by removing the perspective of the observer, not only in position space but more generally in phase space. This approach led in 1998 to what is now called 2T-physics, which has been formulated so far in classical and quantum mechanics, field theory and partially in string theory. In this lecture I will explain the fundamental aspects of 2T-physics, and will outline the progress from classical mechanics, through the standard model and gravity, all the way to supergravity in d-space plus 2-time dimensions. I will describe how 2T-physics is consistent with 1T-physics in (d-1)-space plus 1-time dimensions, but also how it goes beyond 1T-physics, by making in principle a vast number of verifiable predictions that are systematically missed in 1T-physics, as well as providing new computational tools for physics.