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

Conference paper
First Online:
Part of the Progress in Theoretical Chemistry and Physics book series (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.

Keywords

Conjugate operators Quantum-classical dichotomy Time concepts Gravitational interactions Black holes Zero energy scenario Darwinian evolution Gödel’s first incompleteness theorem 
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Notes

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.

References

  1. 1.
    Tegmark M (2003) Parallel Universes. Sci AmGoogle Scholar
  2. 2.
    Greene B (2011) Hidden reality parallel Universes and the deep laws of the Cosmos. Alfred A. Knopf, New YorkGoogle Scholar
  3. 3.
    Green MB, Schwarz JH, Witten E (2012) Superstring theory: volume 2, Loop amplitudes, anomalies and phenomenology. Cambridge University Press, CambridgeGoogle Scholar
  4. 4.
    Gödel K (1931) Über Formal Unentscheidbare Sätze der Principia Matematica und Verwandter Systeme I. Monatshäfte für Mathematik und Physik 38:173–198CrossRefGoogle Scholar
  5. 5.
    Brändas EJ (2011) Gödelian structures and self-organization in biological systems. Int J Quantum Chem 111:1321CrossRefGoogle Scholar
  6. 6.
    Brändas EJ (2012) Examining the limits of physical theory: analytical principles and logical implications (Adv. Quantum Chem.). In: Nicolaides CA, Brändas EJ (eds) Unstable states in the continuous spectra, part II: interpretation, theory, and applications, vol 63. Elsevier, Amsterdam, p 33Google Scholar
  7. 7.
    Brändas EJ (2012) The relativistic Kepler problem and Gödel’s Paradox. In: Nishikawa K, Maruani J, Brändas EJ, Delgado-Barrio G, Piecuch P (eds) Quantum systems in chemistry and physics, vol 26. Springer, Dordrecht, p 3Google Scholar
  8. 8.
    Kerr RP (1963) Gravitational field of a spinning mass as an example of algebraically special metrics. Phys Rev Lett 11:237CrossRefGoogle Scholar
  9. 9.
    Löwdin P-O (1998) Linear algebra for quantum theory. Wiley, New YorkGoogle Scholar
  10. 10.
    Feferman S (2009) Gödel, Nagel, minds and machines. J Philos 106(4):201Google Scholar
  11. 11.
    Turing AM (1937) On computational numbers, with an application to the Entscheidungsproblem. Proc London Math Soc 42(2):230; ibid. 43:544Google Scholar
  12. 12.
    Brändas EJ (2013) Some biochemical reflections on information and communication. In: Hotokka M, Maruani J, Brändas EJ, Delgado-Barrio G (eds) Quantum systems in chemistry, physics and biology, vol 27. Springer, Dordrecht, p 75Google Scholar
  13. 13.
    Penrose R (1994) Shadows of the mind: a search for the missing science of consciousness. Oxford University Press, OxfordGoogle Scholar
  14. 14.
    Domcke W, Yarkony DR (2012) Role of conical intersections in molecular spectroscopy and photoinduced chemical dynamics. Ann Rev Phys Chem 63:325CrossRefGoogle Scholar
  15. 15.
    Brändas EJ (2013) Arrows of time and fundamental symmetries in chemical physics. Int J Quantum Chem 113:173CrossRefGoogle Scholar
  16. 16.
    Löwdin P-O (1967) Program. Nature of quantum chemistry. Int J Quantum Chem 1:1Google Scholar
  17. 17.
    Primas H (1983) Chemistry, quantum mechanics and reductionism. Perspectives in theoretical chemistry. Springer, BerlinCrossRefGoogle Scholar
  18. 18.
    Sklar L (1993) Physics and chance philosophical issues in the foundations of statistical mechanics. Cambridge University Press, CambridgeCrossRefGoogle Scholar
  19. 19.
    Nicolaides CA, Brändas EJ (eds) (2010) Unstable states in the continuous spectra, part I: analysis, concepts, methods, and results. Adv Quantum Chem 60:1–549Google Scholar
  20. 20.
    Moiseyev N (2011) Non-hermitian quantum mechanics. Cambridge University Press, New YorkCrossRefGoogle Scholar
  21. 21.
    Balslev E, Combes JM (1971) Spectral properties of many-body Schrödinger operators with dilatation-analytic interactions. Commun Math Phys 22:280CrossRefGoogle Scholar
  22. 22.
    Simon B (1973) The definition of molecular resonance curves by the method of exterior complex scaling. Ann Math 97:247CrossRefGoogle Scholar
  23. 23.
    Hehenberger M, McIntosh HV, Brändas E (1974) Weyl’s theory applied to the Stark effect in the hydrogen atom. Phys Rev A 10:1494CrossRefGoogle Scholar
  24. 24.
    Brändas E, Froelich P (1977) Continuum orbitals, complex scaling and the extended Virial theorem. Phys Rev A 16:2207CrossRefGoogle Scholar
  25. 25.
    Howland JS (1983) Complex scaling of ac Stark Hamiltonians. J Math Phys 24:1240CrossRefGoogle Scholar
  26. 26.
    Löwdin P-O (1955) Quantum theory of many-particle systems. I. Physical interpretations by means of density matrices, natural spin orbitals, and convergence problems in the method of configuration interaction. Phys Rev 97:1474CrossRefGoogle Scholar
  27. 27.
    Coleman AJ, Yukalov VI (2000) Reduced density matrices. Coulson’s challenge. Lecture notes in chemistry, vol 72. Springer, BerlinGoogle Scholar
  28. 28.
    Yang CN (1962) Concept of off-diagonal long-range order and the quantum phases of liquid helium and of superconductors. Rev Mod Phys 34:694CrossRefGoogle Scholar
  29. 29.
    Coleman AJ (1963) Structure of fermion density matrices. Rev Mod Phys 35:668CrossRefGoogle Scholar
  30. 30.
    Sasaki F (1965) Eigenvalues of fermion density matrices. Phys Rev 138B:1338CrossRefGoogle Scholar
  31. 31.
    Brändas EJ, Chatzidimitriou-Dreismann CA (1991) On the connection between certain properties of the second-order reduced density matrix and the occurrence of coherent-dissipative structures in disordered condensed matter. Int J Quantum Chem 40:649CrossRefGoogle Scholar
  32. 32.
    Prigogine I (1980) From being to becoming. Freeman W. H. Freeman and Company, San FransiscoGoogle Scholar
  33. 33.
    Obcemea CH, Brändas EJ (1983) Analysis of Prigogine’s theory of subdynamics. Ann Phys 151:383CrossRefGoogle Scholar
  34. 34.
    Brändas E, Hessmo B (1998) Indirect measurements and the Mirror Theorem: a Liouville formulation of quantum mechanics. In: Bohm A, Doebner H-D, Kielanowski P (eds) Irreversibility and causality. Semigroups and rigged hilbert spaces. Lecture notes in physics, vol 504, p 359Google Scholar
  35. 35.
    Karlsson EB, Brändas EJ (1998) Modern studies of basic quantum concepts and phenomena, In: Karlsson EB, Brändas E (eds) Proceedings nobel symposium, vol 104. World Scientific Publishing, Singapore, p 7Google Scholar
  36. 36.
    Brändas E, Elander N (eds) (1989) Resonances: the unifying route towards the formulation of dynamical processes—Foundations and applications in nuclear, atomic and molecular physics. Lecture notes in physics, vol 325. Springer, Berlin, pp 1–564Google Scholar
  37. 37.
    Mayr E (1974) Teleological and teleonomic: a new analysis. Boston Studies in the Philosophy of Science 14:91CrossRefGoogle Scholar
  38. 38.
    Mayr E (2004) What makes biology unique?. Cambridge University Press, New YorkCrossRefGoogle Scholar
  39. 39.
    Löwdin P-O (1965) Quantum genetics and the aperiodic solid. Some aspects on the biological problems of heredity, mutations, aging, and tumours in view of the quantum theory of the DNA molecule. Adv Quantum Chem 2:213Google Scholar
  40. 40.
    Brändas EJ (1995) Relaxation processes and coherent dissipative structures. In: Lippert E, Macomber JD (eds) Dynamics during spectroscopic transitions. Springer, Berlin, p 148CrossRefGoogle Scholar
  41. 41.
    Brändas EJ (1995) Applications of CSM theory. In: Lippert E, Macomber JD (eds) Dynamics during spectroscopic transitions. Springer, Berlin, p 194CrossRefGoogle Scholar
  42. 42.
    Zubarev DN (1960) Double-time green functions in statistical physics. Sov Phys Usp 3:320CrossRefGoogle Scholar
  43. 43.
    Kandel ER (2006) In search of memory the emergence of a new science of mind. W. W. Norton & Company, New YorkGoogle Scholar
  44. 44.
    Brändas EJ (2012) Time asymmetry and the evolution of physical laws. In: Hoggan PE, Brändas EJ, Maruani J, Piecuch P, Delgado-Barrio G (eds) Advances in the theory of quantum systems in chemistry and physics. Progress in theoretical chemistry and physics, vol 22. Springer, Berlin, p 3Google Scholar
  45. 45.
    Rinaldi M (2012) Aspects of quantum gravity in cosmology. Mod Phys Lett A 7:1230008CrossRefGoogle Scholar
  46. 46.
    Berman MS (2009) On the zero-energy universe. Int J Theor Phys 48(11):3278CrossRefGoogle Scholar
  47. 47.
    Maruani J (2013) The Dirac electron as a massless charge spinning at light speed: implications on some basic physical concepts. In: Hotokka M, Maruani J, Brändas EJ, Delgado-Barrio G (eds) vol. 27. Springer, Dordrecht, p 53Google Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of Chemistry—Ångström LaboratoryInstitute for Quantum Chemistry, Uppsala UniversityUppsalaSweden

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