Quantum effects in cosmological models with singularities

1981 ◽  
Vol 24 (1) ◽  
pp. 63-66 ◽  
Author(s):  
S. G. Mamaev
2002 ◽  
Vol 17 (10) ◽  
pp. 1413-1433 ◽  
Author(s):  
GORAN S. DJORDJEVIĆ ◽  
BRANKO DRAGOVICH ◽  
LJUBIŠA D. NEŠIĆ ◽  
IGOR V. VOLOVICH

We consider the formulation and some elaboration of p-adic and adelic quantum cosmology. The adelic generalization of the Hartle–Hawking proposal does not work in models with matter fields. p-adic and adelic minisuperspace quantum cosmology is well defined as an ordinary application of p-adic and adelic quantum mechanics. It is illustrated by a few cosmological models in one, two and three minisuperspace dimensions. As a result of p-adic quantum effects and the adelic approach, these models exhibit some discreteness of the minisuperspace and cosmological constant. In particular, discreteness of the de Sitter space and its cosmological constant is emphasized.


1972 ◽  
Vol 44 ◽  
pp. 526-531
Author(s):  
F. Hoyle

Quantum effects in the early stages of some cosmological models are considered. Interactions between particles can be expressed in terms of the Dirac delta function, and the implications of the existence of both positive and negative frequencies in the Fourier expansion of this function are discussed.


1976 ◽  
Vol 35 (2) ◽  
pp. 293-307 ◽  
Author(s):  
V. N. Lukash ◽  
I. D. Novikov ◽  
A. A. Starobinsky ◽  
Ya. B. Zeldovich

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