What is Time? A New Mathematico- Physical and Information Theoretic Approach

A New Mathematico-Physical and Information Theoretic Approach Examination of the available hard core information to firm up the process of unification of quantum and gravitational physics leads to the conclusion that for achieving this synthesis, major paradigm shifts are needed as also the answering of `What is Time?' The object of this submission is to point out the means of achieving such a grand synthesis. Currently the main pillars supporting the edifice of physics are: (i) The geometrical concepts of space- time-gravitation, (ii) The dynamic concepts involving quantum of action, (iii) Statistical thermodynamic concepts, heat and entropy, (iv) Mathematical concepts, tools and techniques serving both as a grand plan and the means of calculation and last but not least v)Controlled observation, pertinent experimentation as the final arbiter. In making major changes the author is following Dirac's dictum "....make changes without sacrificing the existing superstructure". It is shown that time can be treated as a parameter rather than an additional dimension. A new entity called "Ekon" having the properties of both space and momentum is introduced along with a space called "Chalachala". The requisite connection with Einstein's formulation and mathematical aperatus required have been formulated which is highly suited for the purpose. The primacy of the Plancks quantum of action and its representation geometrically as a twist is introduced. The practical and numerical estimates have been made and applied to evaluation of the gravitational constant in a a seperate submission "Estimations of gravitational constant from CMBR data".Comment: 29 pages, pdf fil

Relation between chiral symmetry breaking and confinement in YM-theories

Spectral sums of the Dirac-Wilson operator and their relation to the Polyakov loop are thoroughly investigated. The approach by Gattringer is generalized to mode sums which reconstruct the Polyakov loop locally. This opens the possibility to study the mode sum approximation to the Polyakov loop correlator. The approach is re-derived for the ab initio continuum formulation of Yang-Mills theories, and the convergence of the mode sum is studied in detail. The mode sums are then explicitly calculated for the Schwinger model and SU(2) gauge theory in a homogeneous background field. Using SU(2) lattice gauge theory, the IR dominated mode sums are considered and the mode sum approximation to the static quark anti-quark potential is obtained numerically. We find a good agreement between the mode sum approximation and the static potential at large distances for the confinement and the high temperature plasma phase.Comment: 17 pages, 10 figures, typos corrected, references added, final version to appear in PR

The decay of highly excited open strings

The decay rates of leading edge Regge trajectory states are calculated for very high level number in open bosonic string theories, ignoring tachyon final states. The optical theorem simplifies the analysis while enabling identification of the different mass level decay channels. The main result is that (in four dimensions) the greatest single channel is the emission of a single photon and a state of the next mass level down. A simple asymptotic formula for arbitrarily high level number is given for this process. Also calculated is the total decay rate exactly up to N=100. It shows little variation over this range but appears to decrease for larger N. The formalism is checked in examples and the decay rate of the first excited level calculated for open superstring theories. The calculation may also have implications for high spin meson resonances