Sugra Interactions at Thresholds of Asymptotic Freedom

A generic, heterotic string theory is uniquely reduced to the standard model in terms of a geometry that transcends compactification. This device also extends the standard model to embrace three generations of fermions, including a left-handed strange quark that is devoid of strangeness and three right-handed neutrinos. Finally, the proposed hypothesis indicates supergravitationally mediated quark-lepton transitions that preserve baryon structure, departing from the SUSY GUT tradition that predicts proton decay. 1. A Unique Reduction to the Standard Model The current status of high energy physics confronts two significant problems: that SUSY GUT theories predict a proton decay, which is not observed, and that heterotic string models (the only finite, physical models) of supergravity do not uniquely reduce to the standard model at SM scale. Both problems are addressed in terms of a geometry, which transcends compactification by preserving the geodesic nature of world tube coupling. A pure supergravitational transition at string scale is envisioned as an absorptionradiation event that is encountered by a closed string of spin 3/2, as that string sweeps out a geodesic world tube in 10-spacetime. Each absorption-radiation event involves the absorption of a string of spin 2 and the simultaneous radiation of a second, generally distinct string of spin 2 through the mediation of a graviton vertex operator (GVO). The constraint of simultaneity is necessary to conserve intrinsic angular momentum along the world tube of spin 3/2. Two classes of spin-2 fields and two classes of GVOs are postulated. A Class I GVO is identified with the absorption of a Class I string of spin 2 and the radiation of a Class II string of spin 2. A Class II GVO is identified with the opposite order of absorption and radiation. It is observed that GVOs experience ’geodesic coupling’ at string scale, where geodesic coupling refers to coupling in terms of a world tube that is swept out by a string of spin 3/2 (closed string analogue of a gauge field of local supersymmetry). In this context a transcendental geometry is defined as consisting of world tubes of spin 3/2 that map under compactification onto spin 3/2 geodesic couplings of GVO particle analogues (also to be known as GVOs) and of their spin 2 superpartners. Because compactification is defined in terms of an E8 symmetry, which breaks to yield SU(5)XSU(3) (in both observable and hidden sectors), a spin 3/2 geodesic coupling is defined as one that preserves SU(5)XSU(3) as well as local supersymmetry and the spin-(3/2) nature of the gauge coupling. If SU(5) is defined so that the conserved parameters are I3, Y, fermion number and generation, then the proposed hypothesis yields three fundamental representations of SU(5) in terms of GVOs, which correspond to three orientations of the I3 axis about the Y axis, forming a representation of SU(3) on a plane that is orthogonal to the orientations of the SU(5) symmetries. Thus if one can constrain the spin 1 sector of each GVO