ar X iv : h ep - t h / 01 10 07 9 v 1 9 O ct 2 00 1 Higher Derivative Gravity and Torsion from the Geometry of C - spaces

ar X iv : h ep - t h / 01 10 07 9 v 2 1 5 N ov 2 00 1 Higher Derivative Gravity and Torsion from the Geometry of C - spaces

The geometry of curved Clifford space (C-space) is investigated. It is shown that the curvature in C-space contains higher orders of the curvature in the underlying ordinary space. A C-space is parametrized not only by 1-vector coordinates x µ but also by the 2-vector coordinates σ since they describe the holographic projections of 1-lines, 2-loops, 3-loops, etc., onto the coordinate planes. It...

ar X iv : h ep - t h / 01 10 07 9 v 3 2 7 A pr 2 00 2 Higher Derivative Gravity and Torsion from the Geometry of C - spaces

We start from a new theory (discussed earlier) in which the arena for physics is not spacetime, but its straightforward extension—the so called Clifford space (C-space), a manifold of points, lines, areas, etc..; physical quantities are Clifford algebra valued objects , called polyvectors. This provides a natural framework for description of super-symmetry, since spinors are just left or right ...

ar X iv : h ep - t h / 01 10 17 9 v 1 1 9 O ct 2 00 1 Noncommutative Differential Geometry and Classical Field Theory on Finite Groups ∗

Plan of this report is given below 1. Motivation from Physical and Mathematical Point of View 2. Differential Calculi on Finite Groups 3. Metrics 4. Lagrangian Field Theory and Symplectic Structure 5. Scalar Field Theory and Spectral of Finite Groups

ar X iv : h ep - p h / 01 10 03 9 v 1 3 O ct 2 00 1 On spectroscopy of ρ ′ , ρ ′ ′ and ω ′ , ω ′ ′ resonances

ar X iv : h ep - l at / 0 01 00 50 v 1 2 7 O ct 2 00 0 Geometry of 4 d Simplicial Quantum Gravity with a U ( 1 ) Gauge Field ∗

The geometry of 4D simplicial quantum gravity with a U(1) gauge field is studied numerically. The phase diagram shows a continuous transition when gravity is coupled with a U(1) gauge field. At the critical point measurements of the curvature distribution of S 4 space shows an inflated geometry with homogeneous and symmetric nature. Also, by choosing a 4-simplex and fixing the scalar curvature ...