| Peer-Reviewed

Coverings and Axions: Topological Characterizing of the Energy Coverings in Space-Time

Received: 8 October 2014     Accepted: 11 October 2014     Published: 24 October 2014
Views:       Downloads:
Abstract

Inside the QFT and TFT frame is developed a geometrical and topological model of one wrapping energy particle or “axion” to establish the diffeomorphic relation between space and time through of universal coverings. Then is established a scheme that relates both aspects, time and space through of the different objects that these include and their spectrum that is characterized by their wrapping energy.

Published in Pure and Applied Mathematics Journal (Volume 3, Issue 6-2)

This article belongs to the Special Issue Integral Geometry Methods on Derived Categories in the Geometrical Langlands Program

DOI 10.11648/j.pamj.s.2014030602.12
Page(s) 6-11
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2014. Published by Science Publishing Group

Keywords

Axion, Diffeomorphism, Spectrum, Universal Covering, Wrapping Energy

References
[1] F. Bulnes, “Design of Quantum Gravity Sensor by Curvature Energy and their Encoding,” Proc. IEEE-UK, London, UK, 2014.
[2] F. Bulnes, “Geometrical Langlands Ramifications and Differential Operators Classification by Coherent D-Modules in Field Theory,” Journal of Mathematics and System Science, 3, no. 10, 2013, USA, pp491-507.
[3] Bulnes, F. (2014) Derived Categories in Langlands Geometrical Ramifications: Approaching by Penrose Transforms. Advances in Pure Mathematics, 4, 253-260. doi: 10.4236/apm.2014.46034.
[4] D. Eisenbud: J. Harris (1998). The Geometry of Schemes. Springer-Verlag, USA.
[5] Blumenhagen, Ralph; Lüst, Dieter; Theisen, Stefan (2012), Basic Concepts of String Theory, Theoretical and Mathematical Physics, Springer, p. 487, "Orbifolds can be viewed as singular limits of smooth Calabi–Yau manifolds".
[6] M. Green, J. Schwartz and E. Witten, Superstring theory, Vol. 1 and 2, Cambridge University Press, 1987.
[7] N. Hitchin (2003), "Generalized Calabi–Yau manifolds", The Quarterly Journal of Mathematics 54 (3): 281–308.
[8] M. A. Ramírez, L. Ramírez, A. Camarena, The Mother Gravity, Procc. Appliedmath 2, November, México, City, 2006.
[9] M. A. Ramírez, L. Ramírez, A. Camarena, The Mother Gravity II: Genesis Dialectic, Procc. Appliedmath 3, October, México, City, 2007.
[10] M. A. Ramírez, L. Ramírez, A. Camarena, The Mother Gravity III: walking for Rams, Procc. Appliedmath 3, November, México, City, 2008.
[11] M. Ramírez, L. Ramírez, O. Ramírez, F. Bulnes, “Field Ramifications: The Energy-Vacuum Interaction that Produces Movement,” Journal on Photonics and Spintronics, Vol. 2, no. 3, USA, 2013, pp4-11.
[12] J. Milnor, “On spaces having the homotopy type of a CW-complex” Trans. Amer. Math. Soc. 90 (1959), 272–280.
[13] M. Ramírez, L. Ramírez, O. Ramírez, F. Bulnes, “Field Ramifications: The Energy-Vacuum Interaction that Produces Movement,” Journal on Photonics and Spintronics, Vol. 2, no. 3, USA, 2013, pp4-11.
[14] F. Bulnes (2013). Quantum Intentionality and Determination of Realities in the Space-Time Through Path Integrals and Their Integral Transforms, Advances in Quantum Mechanics, Prof. Paul Bracken (Ed.), ISBN: 978-953-51-1089-7, InTech, DOI: 10.5772/53439. Available from: http://www.intechopen.com/books/advances-in-quantum-mechanics/quantum-intentionality-and-determination-of-realities-in-the-space-time-through-path-integrals-and-t
[15] A. Abbondandolo, M. Schwarz, “Floer homology of cotangent bundle and the loop product,” Geom. Top. 14 (2010), no. 3, 1569-1722.
[16] K. Fukaya, Floer Homology and Mirror Symmetry I, Department of Mathematics, Faculty of Science, Kyoto University, Kitashirakawa, Kyoto, 606-8224, Japan.
[17] A. Kapustin, M. Kreuser and K. G. Schlesinger, Homological mirror symmetry: New Developments and Perspectives, Springer. Berlin, Heidelberg, 2009.
[18] F. Bulnes, (2013) Mathematical Nanotechnology: Quantum Field Intentionality. Journal of Applied Mathematics and Physics, 1, 25-44. doi: 10.4236/jamp.2013.15005.
[19] R. M. Switzer, Homotopy and Homology. Springer, 2nd Edition, 1975.
[20] J. G. Hocking, G. S. Young., Topología. Editorial Reverte S.A. Barcelona, España. 1966.
Cite This Article
  • APA Style

    Mario Ramírez, Luis Ramírez, Oscar Ramírez, Francisco Bulnes. (2014). Coverings and Axions: Topological Characterizing of the Energy Coverings in Space-Time. Pure and Applied Mathematics Journal, 3(6-2), 6-11. https://doi.org/10.11648/j.pamj.s.2014030602.12

    Copy | Download

    ACS Style

    Mario Ramírez; Luis Ramírez; Oscar Ramírez; Francisco Bulnes. Coverings and Axions: Topological Characterizing of the Energy Coverings in Space-Time. Pure Appl. Math. J. 2014, 3(6-2), 6-11. doi: 10.11648/j.pamj.s.2014030602.12

    Copy | Download

    AMA Style

    Mario Ramírez, Luis Ramírez, Oscar Ramírez, Francisco Bulnes. Coverings and Axions: Topological Characterizing of the Energy Coverings in Space-Time. Pure Appl Math J. 2014;3(6-2):6-11. doi: 10.11648/j.pamj.s.2014030602.12

    Copy | Download

  • @article{10.11648/j.pamj.s.2014030602.12,
      author = {Mario Ramírez and Luis Ramírez and Oscar Ramírez and Francisco Bulnes},
      title = {Coverings and Axions: Topological Characterizing of the Energy Coverings in Space-Time},
      journal = {Pure and Applied Mathematics Journal},
      volume = {3},
      number = {6-2},
      pages = {6-11},
      doi = {10.11648/j.pamj.s.2014030602.12},
      url = {https://doi.org/10.11648/j.pamj.s.2014030602.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.s.2014030602.12},
      abstract = {Inside the QFT and TFT frame is developed a geometrical and topological model of one wrapping energy particle or “axion” to establish the diffeomorphic relation between space and time through of universal coverings. Then is established a scheme that relates both aspects, time and space through of the different objects that these include and their spectrum that is characterized by their wrapping energy.},
     year = {2014}
    }
    

    Copy | Download

  • TY  - JOUR
    T1  - Coverings and Axions: Topological Characterizing of the Energy Coverings in Space-Time
    AU  - Mario Ramírez
    AU  - Luis Ramírez
    AU  - Oscar Ramírez
    AU  - Francisco Bulnes
    Y1  - 2014/10/24
    PY  - 2014
    N1  - https://doi.org/10.11648/j.pamj.s.2014030602.12
    DO  - 10.11648/j.pamj.s.2014030602.12
    T2  - Pure and Applied Mathematics Journal
    JF  - Pure and Applied Mathematics Journal
    JO  - Pure and Applied Mathematics Journal
    SP  - 6
    EP  - 11
    PB  - Science Publishing Group
    SN  - 2326-9812
    UR  - https://doi.org/10.11648/j.pamj.s.2014030602.12
    AB  - Inside the QFT and TFT frame is developed a geometrical and topological model of one wrapping energy particle or “axion” to establish the diffeomorphic relation between space and time through of universal coverings. Then is established a scheme that relates both aspects, time and space through of the different objects that these include and their spectrum that is characterized by their wrapping energy.
    VL  - 3
    IS  - 6-2
    ER  - 

    Copy | Download

Author Information
  • Dept. of Mathematics, ESIME-Azcapotzalco, Mexico City, Mexico

  • Dept. of Mathematics, UNAM-FES-Aragón, Mexico City, Mexico

  • Dept. of Mathematics, UNAM-FES-Acatlán, Mexico City, Mexico

  • Research Dept. in Mathematics and Eng., TESCHA, Chalco, Mexico

  • Sections