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The ℤ 2 × ℤ 2 heterotic string orbifold yielded a large space of phenomenological three generation models and serves as a testing ground to explore how the Standard Model of particle physics may be incorporated in a theory of quantum gravity. In this paper, we explore the existence of type 0 models in this class of string compactifications. We demonstrate the existence of type 0 ℤ 2 × ℤ 2 heterotic string orbifolds, and show that there exist a large degree of redundancy in the space of GGSO projection coefficients when the type 0 restrictions are implemented. We explore the existence of such configurations in several constructions. The first correspond to essentially a unique configuration out of a priori 2 2 1 discrete GGSO choices. We demonstrate this uniqueness analytically, as well as by the corresponding analysis of the partition function. A wider classification is performed in S ̃ -models and S -models, where the first class correspond to compactifications of a tachyonic ten-dimensional heterotic string vacuum, whereas the second correspond to compactifications of the ten-dimensional nontachyonic S O (1 6) × S O (1 6). We show that the type 0 models in both cases contain physical tachyons at the free fermionic point in the moduli space. These vacua are therefore necessarily unstable, but may be instrumental in exploring the string dynamics in cosmological scenarios. We analyze the properties of the string one-loop amplitude. Naturally, these are divergent due to the existence of tachyonic states. We show that once the tachyonic states are removed by hand the amplitudes are finite and exhibit a form of misaligned supersymmetry. [ABSTRACT FROM AUTHOR]

We show that the rotating black hole solutions bring new effects in the particle physics, allowing to unite gravity with quantum theory. Due to extremely large spin/mass ratio (for typical spinning particles), the rotating Kerr black hole solution deforms space topologically on the Compton scale, which increases extremely effective influence gravity on quantum processes, and gravity starts to collaborate with quantum processes, instead of confront them. In particular, Kerr's gravity defines several important structures and parameters of electron, in particular, its non-perturbative shape, the associated Wilson loop, features of the used supersymmetry and specials of the stringy system. [ABSTRACT FROM AUTHOR]

Quantum M-theory is formulated using the current algebra technique. The current algebra is based on a Kac-Moody algebra rather than usual finite dimensional Lie algebra. Specifically, I study the Kac-Moody algebra that was shown recently to contain all the ingredients of M-theory. Both the internal symmetry and the external Lorentz symmetry can be realized inside , so that, by constructing the current algebra of , I obtain both internal gauge theory and gravity theory. The energy-momentum tensor is constructed as the bilinear form of the currents, yielding a system of quantum equations of motion of the currents/fields. Supersymmetry is incorporated in a natural way. The so-called 'field-current identity' is built in and, for example, the gravitino field is itself a conserved supercurrent. One unanticipated outcome is that the quantum gravity equation is not identical to the one obtained from the Einstein-Hilbert action. [ABSTRACT FROM AUTHOR]