Volume 3, Issue 6-2, December 2014, Page: 6-11
Coverings and Axions: Topological Characterizing of the Energy Coverings in Space-Time
Mario Ramírez, Dept. of Mathematics, ESIME-Azcapotzalco, Mexico City, Mexico
Luis Ramírez, Dept. of Mathematics, UNAM-FES-Aragón, Mexico City, Mexico
Oscar Ramírez, Dept. of Mathematics, UNAM-FES-Acatlán, Mexico City, Mexico
Francisco Bulnes, Research Dept. in Mathematics and Eng., TESCHA, Chalco, Mexico
Received: Oct. 8, 2014;       Accepted: Oct. 11, 2014;       Published: Oct. 24, 2014
DOI: 10.11648/j.pamj.s.2014030602.12      View  2751      Downloads  109
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.
Keywords
Axion, Diffeomorphism, Spectrum, Universal Covering, Wrapping Energy
To cite this article
Mario Ramírez, Luis Ramírez, Oscar Ramírez, Francisco Bulnes, Coverings and Axions: Topological Characterizing of the Energy Coverings in Space-Time, Pure and Applied Mathematics Journal. Special Issue: Integral Geometry Methods on Derived Categories in the Geometrical Langlands Program. Vol. 3, No. 6-2, 2014, pp. 6-11. doi: 10.11648/j.pamj.s.2014030602.12
Reference
[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.
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