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आयतन 2, मुद्दा 1 (2014)

समीक्षा लेख

On The Residual Effective Potential within Global One-Dimensional Quantum Gravity

Lukasz Andrzej Glinka

The global one-dimensional quantum gravity is the model of quantum gravity which arises from the global one dimensionality conjecture within quantum general relativity, first considered by the author in 2010 and then in 2012. In this model the global dimension is a determinant of a metric of three-dimensional space embedded into an enveloping Lorentizan four-dimensional space-time. In 2012, it has already been presented by the author that this model can be extended to any Lorentzian D + 1-dimensional space-time, where D is a dimension of space, and resulting in the global one-dimensional model of a higher dimensional quantum gravity. The purely quantum–mechanical part of this model is a minimal effective model within the quantum Geometrodynamics, introduced by J.A. Wheeler and B.S. DeWitt in the 1960s, but the effective potential is manifestly different from the one considered by Wheeler & DeWitt. Moreover, in our model the wave functionals solving the quantum gravity are one-variable smooth functions and, therefore, the troublesome mathematical technique of the Feynman functional integration present in the Hawking formulation of quantum gravity, is absent is this model, what makes it a mathematically consistent theory of quantum gravitation. In this paper, we discuss in some detail a certain part of the global one-dimensional model already proposed in 2010, and then developed in 2012. The generalized functional expansion of the effective potential and the residual approximation, which describe the embedded spaces which are maximally symmetric three-dimensional Einstein’s manifolds, whose lead to the Newton–Coulomb type potential in the quantum gravity model, are considered. Furthermore, scenarios related to few selected specific forms of the effective potential are suggested as physically interesting and discussed.

समीक्षा लेख

Discovering the Total Contents of the Universe

Ing Jeoraj Jain

Modern scientists have been searching for clues of some type of extra-terrestrial life. However, ancient scriptures give very interesting and important information and details concerning the total contents of the whole universe. But it is given in a mathematical language, which has long been forgotten by the mankind. As such people have been interpreting those contents, as per their own limited knowledge of Geography and Cosmology. This has naturally, brought about several contradictions and created serious mismatch with the latest scientific findings. The author claims to have deciphered the Code, in which the Ri?is (Saints) had explained the contents of the universe (Lok?k??a) in terms of living and non-living substances, along with its dependence on time-cycle. It transpires that several puzzles, which remained hitherto as a myth, could easily be resolved by this ancient map. Even the latest scientific findings about the living and non-living matter of the cosmos can mostly be matched and fitted into the available ancient Lok?k??a map. Statistical data derived from the Lok?k??a can provide invaluable guidance and right direction to the scientists in several fields for future explorations. For example: It gives important information about the distribution of living and non-living substance of the universe. The chart clearly exhibits the existence of human-civilizations on many planets, scattered in the universe. Some of them are spiritually more advanced than ours. Sub-human life form exists on innumerable planets in the universe Apart from 7 states of matter and 7 phases of first 2 states of matter, (whose present knowledge is still at a very initial stage), the protean matter and protean-bodied life-form are still to be discovered by the scientists. We still have very scanty knowledge about the Corona of Galaxies. The properties of the protean stuff, as given in the scriptures, may probably provide some clues to understand the dynamics of this invisible matter of Corona.

शोध आलेख

Emergent Gravity/Non-linear U (1) Gauge Theory Correspondence

K Priyabrat Pandey, Abhishek K Singh, Sunita Singh and Supriya Kar

We revisit a five dimensional Kaluza-Klein gravity, in presence of a cosmological constant, with a renewed interest in a type IIA string theory. An irreducible space-time curvature scalar K, leading to a non-perturbation theory of emergent quantum gravity, is addressed on a D4-brane underlying a two form gauge theory. An appropriate ansatz for a two form in the non-linear U (1) gauge theory is explored to obtain a nontrivial geometric torsion in a second order formalism. The quantum geometries, underlying torsion, in a low energy limit is shown to describe an AdS5 -brane black hole in Einstein vacuum. In the limit, we analyze the non-perturbation curvature K on S1 and argue for a plausible strong-weak coupling duality between a five dimensional non-perturbation curvature theory and the 4D perturbation non-linear gauge theory.

संपादकीय

Non-Perturbative Quantum Gravity in Five Dimensions

Supriya Kar

We briefly discuss a non-perturbative theory of quantum gravity in five dimensions, beneath a geometric torsion construction, on a vacuum created pair of Dirichlet 3-brane/anti-brane by a two form. Interestingly, the four dimensional gravity effects may see to re-appear with a Big Bang from a gauge theoretic vacuum on a D4-brane in a ten dimensional type IIA superstring theory. Generically it is argued that a non-perturbative correction, sourced by a non-linear electric/magnetic charge, couples to a flat metric and incorporates quantum effects into various Einstein vacua. A geometric torsion may provoke thought to glimpse into the conjectured M-theory in eleven dimensions.

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