OALibJ  Vol.1 No.7 , October 2014
Origin of Quantum Space-Time and Primordial Black Hole
Abstract: In the present theoretical work, an attempt has been made to derive an expression for the quantum volume of discrete space and its growth rate using first rank tensorial Einstein-Gauss gravitation law, Einstein’s mass energy equivalence and Heisenberg’s uncertainty principle. It is found that the universe may have come into quantum existence with volume thrice the Planck’s volume within the framework of physical laws when it already had an age ~10-43 s provided the Planck’s time is at the origin otherwise, both have the same origin. The size and gravitational field of quantum primordial black hole of quantum mass have been estimated and reported.
Cite this paper: Pandey, R. (2014) Origin of Quantum Space-Time and Primordial Black Hole. Open Access Library Journal, 1, 1-5. doi: 10.4236/oalib.1100688.

[1]   Minkowski (1908) Space and Time: The Principle of Relativity. Dover, Encyclopedia.

[2]   Møller, C. (1952) Theory of Relativity. Oxford University Press, London.

[3]   Gupta, S.N. (1957) Einstein’s and Other Theories of Gravitation. Reviews of Modern Physics, 29, 334-336.

[4]   Misner, C.W., Thorne, K.S. and Wheeler, J.A. (1973) Gravitation. In: Freeman, W.H., Ed., San Francisco.

[5]   Lineweaver, C.H. (1998) The Cosmic Background and Observational Convergence in the WM-WL Plane. Astrophysics Journal, 505, L69.

[6]   Heaviside, O. (1893) A Gravitational and Electromagnetic Analogy. The Electrician, 31, 281-282.

[7]   Campbell, W.B. and Morgan, T.A. (1976) Maxwell Form of the Linear Theory of Gravitation. American Journal of Physics, 44, 356-365.

[8]   Jefimenko, O.D. (1992) Causality, Electromagnetic Induction and Gravitation. Electret Scientific Company, Star City.

[9]   Clark, S.J. and Tucker, R.W. (2000) Gauge Symmetry and Gravito-Electromagnetism. Classical and Quantum Gravity, 17, 4125-4157.

[10]   Tajmar, M. and de Matos, C.J. (2001) Gravitomagnetic Barnett Effect. Indian Journal of Physics B, 75, 459-461.

[11]   Mashhoon, B. (2007) Gravitoelectromagnetism: In Measuring Gravitomagnetism. In: Iorio, L., Ed., A Challenging Enterprise, Nova.

[12]   Overduin, J.M. and Wesson, P.S. (2003) Dark Sky, Dark Matter. Institute of Physics, London.

[13]   Wesson, P.S. (2004) Is Mass Quantized? Modern Physics Letter, 19, 1995-2000.

[14]   Pandey, R.K. (2014) Quantum Volume of Discrete Space and Its Growth Rate. Journal of Physics & Astronomy, 3, FP71-FP76.

[15]   Pandey, R.K. (2013) Fundamentals of Gravitoelectromagnetism. Lambert Academic Publishing, Saarbrücken.

[16]   Ashtekar, A. and Geroch, R. (1974) Quantum Theory of Gravitation. Reports on Progress in Physics, 37, 1211-1256.

[17]   Oriti, D., Ed. (2009) Approaches to Quantum Gravity: Toward a New Understanding of Space, Time and Matter. Cambridge University Press, Cambridge.

[18]   Rickles, D. (2008) Symmetry, Structure and Space-Time. Amsterdam, Elsevier.

[19]   Bain, J. (2008) Condensed Matter Physics and the Nature of Space Time. In: Dieks, I.D., Ed., The Ontology of Spacetime, Elsevier, Amsterdam.

[20]   Butterfield, J. and Isham, C. (1999) On the Emergence of Time in Quantum Gravity. In: Butterfield, J., Ed., The Arguments of Time, Oxford University Press, London.

[21]   Einstein, A. (1966) The Meaning of Relativity. Princeton University Press, Princiton.

[22]   Pierre, P. (2014) Physics in Discrete Space: On Space-Time Organization. Journal of Modern Physics, 5, 563-575.

[23]   Hooft, G. (2009) Introduction to the Theory of Black Holes. Institute for Theoretical physics, Spinoza Institute, 47-48.