Professor T. Padmanabhan
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Item Inflation from quantum gravity(Elsevier Science Publishers, 1984-08-27) Padmanabhan, T.A model for inflation based on a quantum gravity scenario is presented. The process allows inflation of a Planck size bubble to the observed universe.Item Uncertainty principle and the quantum fluctuations of the schwarzschild light cones(World Scientific Publishing Company, 1985-10-12) Padmanabhan, T.; Seshadri, T. R.; Singh, T. P.We consider the gravitational field of a point mass and show that the application of the uncertainty principle leads to (i) an uncertainty relation for the metric and its conjugate momentum and (ii) finite fluctuations of the light-cone at the event horizon.Item Quantum fluctuations in conformally flat and Schwarschild spacetimes(Springer, 1980-12-12) Padmanabhan, T.; Narlikar, J. V.A general technique is described for dealing with the quantum fluctuations between conformally flat space-times. The second part of the paper deals with the Schwarschild space-time. It is shown there that this space-time is stable against fluctuations of mass, but transitions between two space-times of different masses can be obtained via conformal fluctuations. Purely conformal fluctuations of the Schwarschild metric are, however, damped at the event horizon. Similar conclusions are drawn about the Reissner-Nordstrom space-time.Item Quantum fluctuations and the non-avoidance of singularities in bianchi type I cosmologies(Springer, 1980-04-28) Padmanabhan, T.An effective metric is defined and used for analyzing the quantum fluctuations in a classical geometry. Early work showing that quantum conformal fluctuations avoid the classical singularity in the case of spherically symmetric collapse is briefly reviewed it is shown that this result does not extend to anisotropic Bianchi type I cosmology. Here the dispersion in the fluctuations increase to slowly to quench the classical singularity. The singularity persists in the space-time describe by the effective metric.