Standard model of particles and forces in the framework of two-time physics

In this paper it will be shown that the standard model in $3+1$ dimensions is a gauge fixed version of a 2T physics field theory in $4+2$ dimensions, thus establishing that 2T physics provides a correct description of nature from the point of view of $4+2$ dimensions. The 2T formulation leads to phenomenological consequences of considerable significance. In particular, the higher structure in $4+2$ dimensions prevents the problematic $F*F$ term in QCD. This resolves the strong $CP$ problem without a need for the Peccei-Quinn symmetry or the corresponding elusive axion. Mass generation with the Higgs mechanism is less straightforward in the new formulation of the standard model, but its resolution leads to an appealing deeper physical basis for mass, coupled with phenomena that could be measurable. In addition, there are some brand new mechanisms of mass generation related to the higher dimensions that deserve further study. The technical progress is based on the construction of a new field theoretic version of 2T physics including interactions in an action formalism in $d+2$ dimensions. The action is invariant under a new type of gauge symmetry which we call 2T-gauge symmetry in field theory. This opens the way for investigations of the standard model directly in $4+2$ dimensions, or from the point of view of various embeddings of $3+1$ dimensions, by using the duality, holography, symmetry, and unifying features of 2T physics.

Figure 1

Some 1T physics systems that emerge from the solutions of $Q_{ij}=0$.