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A Zero Energy Universe Scenario: From Unstable Chemical States to Biological Evolution and Cosmological Order

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Frontiers in Quantum Methods and Applications in Chemistry and Physics

Part of the book series: Progress in Theoretical Chemistry and Physics ((PTCP,volume 29))

Abstract

A Zero-Energy Universe Scenario (ZEUS) is portrayed and its implications are examined and clarified. The formulation is based on the algebra of observables, e.g. the momentum-energy and their canonical conjugate partner space-time. Operators represent them in quantum theory and classical canonical variables in nonquantum applications. Conjugate operator/variable arrays impart a united edifice for a zero-energy universe scenario, which corresponds to using a non-positive definite metric for the manifestation of unstable states as recently employed in the field of chemical physics. Analogous formulations within a general complex symmetric setting provide a compelling analogy between Einstein’s theory of general gravity and Gödel’s first incompleteness theorem. This scenario brings together up-to-date theories in chemical physics with modern research in biology, physics, and astronomy. This unification establishes an edifice for the various arrows of time as well as authenticates Darwin’s Paradigm of Evolution from the microscopic realm to the cosmological domain.

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Notes

  1. 1.

    The notion of “zero-energy universe” has been coined before, see note added in proof.

  2. 2.

    In quantum theory the Dirac bra-ket is an abstract set of vectors and dual vectors in a general mathematical theory, subject to the axioms of linear algebra, i.e. the scalar product bra-ket depends linearly (antilinearly) on the ket (bra). In the case above the abstract vector space symbolizes a lower level description that consistently portrays the singularity associated with Gödel’s proposition.

  3. 3.

    Note that the probability function/operator p in this paragraph should not be confused with the absolute value of the momentum variable of previous sections.

  4. 4.

    This extension rests on a rigorous mathematical theory, i.e. the Balslev-Combes theorem [21], see also Simon [22], and it is vital to understand and appreciate non-Hermitian quantum mechanics and its consequences for the dynamics of resonance states embedded in the continuum and their properties for higher order dynamics.

  5. 5.

    The concept of ODLRO , although developed after the famous Bardeen-Cooper-Schrieffer theory of super-conductivity, is a formulation with focus on the collective properties of matter at sufficiently low temperatures. For a material system at zero temperature with a non-degenerate ground state the entropy is zero. Under specific conditions the system may develop superconductivity.

  6. 6.

    Regarding reference [30], Coleman makes the following quote in [27]: “This article, which was based on Sasaki’s Report 77 (1962) Quantum Chemistry Group, Uppsala, was actually submitted in 1962 but was inadvertently misplaced by the publisher. It was in this paper that, independently of Yang, Sasaki observed that it is for AGP type functions that the largest possible eigenvalues of the 2-matrix occur.”

  7. 7.

    The classical mirror theorem as reformulated by Löwdin [9] is a much underrated and underused idea. It affects the measurement dilemma through the precise quantum mechanical relations between the system and the gauging device before decoherence. Here it opens a possibility to go beyond the rigidity of the Born-Oppenheimer approximation. For an account of some novel trends in theoretical and experimental quantum phenomena, see Karlsson and Brändas [35].

  8. 8.

    “Complex enough” is an unprecise statement that is prompted by the need to go from teleomatic to teleonomic processes. For more on the rules of evolving organization processes, see note added in proof.

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Acknowledgments

The author thanks the organiser of QSCP XVIII, Prof. Marco Chaer Nascimento, Instituto de Química, Universidade Federal do Rio de Janeiro, Brazil for friendly cooperation, providing an excellent programme and organization. The present research has, over the years, been supported by the Swedish Natural Science Research Council, the Swedish Foundation for Strategic Research, The European Commission and the Nobel Foundation.

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Authors and Affiliations

  1. Department of Chemistry—Ångström Laboratory, Institute for Quantum Chemistry, Uppsala University, Box 518, 751 20, Uppsala, Sweden

    Erkki J. Brändas

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  1. Erkki J. Brändas
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Correspondence to Erkki J. Brändas .

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Editors and Affiliations

  1. Department of Physical Chemistry, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil

    M.A.C. Nascimento

  2. Laboratoire de Chimie Physique, CNRS & UPMC, Paris, France

    Jean Maruani

  3. Department of Quantum Chemistry, Uppsala University, Uppsala, Sweden

    Erkki J. Brändas

  4. Instituto de Fisica Fundamental, CSIC, Madrid, Spain

    Gerardo Delgado-Barrio

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Brändas, E.J. (2015). A Zero Energy Universe Scenario: From Unstable Chemical States to Biological Evolution and Cosmological Order. In: Nascimento, M., Maruani, J., Brändas, E., Delgado-Barrio, G. (eds) Frontiers in Quantum Methods and Applications in Chemistry and Physics. Progress in Theoretical Chemistry and Physics, vol 29. Springer, Cham. https://doi.org/10.1007/978-3-319-14397-2_14

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