2012 **Abstract:** In this topical review we discuss the connections between chaos, decoherence and quantum cosmology. We understand chaos as classical chaos in systems with a finite number of degrees of freedom, decoherence as environment induced decoherence and quantum cosmology as the theory of the Wheeler -DeWitt equation or else the consistent history formulation thereof, first in mini super spaces and later through its extension to midi super spaces. The overall conclusion is that consideration of decoherence is necessary …

Help me understand this report

View preprint versions

Search citation statements

Paper Sections

Select...

2

1

1

1

Citation Types

0

14

0

Year Published

2013

2021

Publication Types

Select...

4

Relationship

0

4

Authors

Journals

(14 citation statements)

(348 reference statements)

0

14

0

“…In the semiclassical limit, one thus finds a Schrödinger equation of the form (38), without using an artifical scalar field or dust matter that are often introduced with the sole purpose of defining a time at the exact level, cf. (38). From an empirical point of view, nothing more is needed, because we do not have any access so far to a regime where the semiclassical approximation is not valid.…”

confidence: 99%

“…For the latest developments of this respect in relation to indefinite Kac-Moody algebra, see [66]. The role of chaos in the decoherence of quantum cosmology and the appearance of a classical spacetime has been pointed out by Calzetta [67].…”

confidence: 99%

“…For backreaction due to quantized matter fields, its decoherence effects, and how the semiclassical limits are reached in quantum cosmology, see, e.g., [67,[234][235][236][237].…”

confidence: 99%

“…This apparent conflict between theory and observation can be understood by invoking the influence of additional degrees of freedom in the sense of decoherence, as shown for example in [27] and [28]. The same mechanism should rectifies the situation for classically chaotic cosmologies [29].…”

confidence: 99%

“…Complex systems (CS) are frequent in many natural (e.g., geophysics, cosmology, ecology, biology, genetics) and man-made (e.g., economy, computer science, chemical and physical apparatus) systems [1][2][3][4][5][6][7][8][9][10]. They are often constituted by multiple interacting entities that contribute to a collective behavior revealing surprising dynamical phenomena.…”

confidence: 99%