Quantization of Big Bang in Crypto-Hermitian Heisenberg Picture

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F16%3A00466561" target="_blank" >RIV/61389005:_____/16:00466561 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-319-31356-6_26" target="_blank" >http://dx.doi.org/10.1007/978-3-319-31356-6_26</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-319-31356-6_26" target="_blank" >10.1007/978-3-319-31356-6_26</a>

Result language
angličtina
Original language name
Quantization of Big Bang in Crypto-Hermitian Heisenberg Picture
Original language description
A background-independent quantization of Universe near its Big Bang singularity is considered. Several conceptual issues are addressed in Heisenberg picture. (1) The observable spatial-geometry non-covariant characteristics of an empty-space expanding Universe are sampled by (quantized) distances Q = Q(t) between space-attached observers. (2) In Q(t) one of the Kato's exceptional-point times t = tau((EP)) is postulated real-valued. At such an instant the widely accepted "Big Bounce" regularization of the Big Bang singularity gets replaced by the full-fledged quantum degeneracy. Operators Q(tau((EP))) acquire a non-diagonalizable Jordan-block structure. (3) During our "Eon" (i.e., at all t > tau((EP))) the observability status of operators Q(t) is guaranteed by their self-adjoint nature with respect to an ad hoc Hilbert-space metric Theta(t) not equal I. (4) In adiabatic approximation the passage of the Universe through its t = tau((EP)) singularity is interpreted as a quantum phase transition between the preceding and the present Eon.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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