Resonances,Unstable Systems,and Irreversibility: Matter Meets Mind |
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Authors: | Robert C Bishop |
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Institution: | 1.Center for Junior Research Fellows,Universit?t Konstanz,Konstanz,Germany;2.Faculty of Philosophy,University of Oxford,Oxford,United Kingdom |
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Abstract: | The fundamental time-reversal invariance of dynamical systems can be broken in various ways. One way is based on the presence
of resonances and their interactions giving rise to unstable dynamical systems leading to well-defined time arrows. Associated
with these time arrows are semigroups bearing time orientations. Usually, when time symmetry is broken, two time-oriented
semigroups result, one directed toward the future and one directed toward the past. If time-reversed states and evolutions
are excluded due to resonances, then the status of these states and their associated backwards-in-time oriented semigroups
is open to question. One possible role for these latter states and semigroups is as an abstract representation of mental systems
as opposed to material systems. The beginnings of this interpretation will be sketched. |
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Keywords: | rigged Hilbert space quantum mechanics irreversibility mind– matter relations |
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