A Quantum Mechanical Relation Connecting Time, Temperature, and Cosmological Constant of the Universe: Gamow’S Relation Revisited as a Special Case
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- Mishra, S. Int J Theor Phys (2008) 47: 2655. doi:10.1007/s10773-008-9702-5
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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.