2009, English, Article edition: Fractional Dynamics, Tiling Equilibrium states and Riemann's zeta function Le Méhauté, A.; El Kaabouchi, A.; Nivanen, L.; ...

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Bookmark: http://trove.nla.gov.au/version/205771
Physical Description
  • text
Published
  • HAL - CCSD
  • 2009
Language
  • English

Edition details

Title
  • Fractional Dynamics, Tiling Equilibrium states and Riemann's zeta function
Author
  • Le Méhauté, A.
  • El Kaabouchi, A.
  • Nivanen, L.
  • Wang, Qiuping A.
Published
  • HAL - CCSD
  • 2009
Physical Description
  • text
Subjects
Notes
  • Il is argued that the generalisation of the mechanical principles to other variables than localisation, velocity and momentum leads to the laws of generalized dynamics under the condition of continuous and derivable space time. However, when the fractality arises, the mechanics principles may no more be extended especially because the time and space singularity appears on the boundary and creates curvature. There is no more equilibrium state, but only a horizon which might play a same role as equilibrium but does not close the problem - especially the problem of the invariance of the energy - which requires two complementary factors: a first one related to the closure in the dimensional space, and the second to scan dissymmetry stemming from the default of tilling the space time. A new discreet time arises from fractality. It leads irreversible thermodynamic properties. Space and time singularities lead to the relation between the above mentioned problematic and the Riemann zeta functions as well as its zeros.
  • HAL:hal-00407277, version 1
  • HAL:http:/​/​hal.archives-ouvertes.fr/​hal-00407277/​en/​
  • ARXIV:0907.4262
Language
  • English
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