International Journal of Theoretical Physics

, Volume 47, Issue 10, pp 2655–2662

A Quantum Mechanical Relation Connecting Time, Temperature, and Cosmological Constant of the Universe: Gamow’S Relation Revisited as a Special Case


DOI: 10.1007/s10773-008-9702-5

Cite this article as:
Mishra, S. Int J Theor Phys (2008) 47: 2655. doi:10.1007/s10773-008-9702-5


Considering our expanding universe as made up of gravitationally interacting particles which describe particles of luminous matter, dark matter and dark energy which is represented by a repulsive harmonic potential among the points in the flat 3-space and incorporating Mach’s principle into our theory, we derive a quantum mechanical relation connecting, temperature of the cosmic microwave background radiation, age, and cosmological constant of the universe. When the cosmological constant is zero, we get back Gamow’s relation with a much better coefficient. Otherwise, our theory predicts a value of the cosmological constant 2.0×10−56 cm−2 when the present values of cosmic microwave background temperature of 2.728 K and age of the universe 14 billion years are taken as input.


Cosmological constant Cosmology Self-gravitating systems 

Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Department of Physics and AstronomyUniversity of MissouriColumbiaUSA

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