Dual field theories in(d−1)+1emergent spacetimes from a unifying field theory ind+2spacetime

Abstract

According to two-time physics, there is more to space and time than can be garnered with the ordinary formulation of physics. Two-time physics has shown that the standard model of particles and forces is successfully reproduced by a two-time field theory in four space and two time dimensions projected as a holographic image on an emergent space-time in $3+1$ dimensions. Among the successes of this approach is the resolution of the strong $CP$ problem of QCD as an outcome of the restrictions imposed by the higher symmetry structures in $4+2$ dimensions. In this paper we launch a program to construct the duals of the standard model as other holographic images of the same $4+2$ dimensional theory on a variety of emergent spacetimes in $3+1$ dimensions. These dual field theories are obtained as a family of gauge choices in the master $4+2$ field theory. In the present paper we deal with some of the simpler gauge choices which lead to interacting Klein-Gordon field theories for the conformal scalar with a predicted $\mathrm{SO}(d,2)$ symmetry in a variety of interesting curved spacetimes in $(d\ensuremath{-}1)+1$ dimensions. More challenging and more interesting gauge choices (including some that relate to mass) which are left to future work are also outlined. Through this approach we discover a new realm of previously unexplored dualities and hidden symmetries that exist both in the macroscopic and microscopic worlds, at the classical and quantum levels. Such phenomena predicted by Two time physics (2T-physics) can in principle be confirmed both by theory and experiment. One time physics (1T-physics) can be used to analyze the predictions but in most instances gives no clue that the predicted phenomena exist in the first place. This point of view suggests a new paradigm for the construction of a fundamental theory that is likely to impact on the quest for unification.