Resumen
En este artículo se demuestra cómo la consideración de una mecánica caótica suministra una redefinición del espacio-tiempo en la teoría de la relatividad especial. En particular, el tiempo caótico significa que no hay una posibilidad de definir el ordenamiento temporal lo que implica una ruptura de la causalidad. Las nuevas transformaciones caóticas entre las coordenadas espaciotemporales 'indeterminadas' no son más lineales y homogéneas. Los principios de inercia y el impulso de la conservación de la energía ya no son bien definidos y en todo caso no son más invariantes.
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Agodi, Attilio and Anthony Cassarino. “Time ordering and the Lorentz group”. Foundations of Physics. Feb. 1982: 137-152. Print.
Anderson, Philip W., Arrow, Kenneth and David Pines. Eds. The Economy as Evolving Complex System. New York: Wesley Publishing Company, 1988. Print.
Arecchi, F. Tito, Basti, Gianfranco, Boccaletti, Stefano and Alessio Perrone. “Adaptive recognition of a chaotic dynamics”. Europhysics Letters. 1994: 327-332. Print.
Bai‑lin, Hao. Chaos, No. 1. Singapore: World Scientific, 1984. Print.
Barrow, John D. “Chaotic behaviour in general relativity”. Physics Reports. May. 1982: 1-49. Print.
---. “General relativistic chaos and nonlinear dynamics”. General Relativity and Gravitation. Jun. 1982: 523-524. Print.
Barut, Asim O. Geometry and Physics: Non-Newtonian Forms of Dynamics. New York: Humanities Press International, 1990. Print.
Born, Max, Hooton, D.J. and Nevill F. Mott. “Statistical dynamics of multiply-periodic systems”. Mathematical Proceedings of the Cambridge Philosophical Society. Apr. 1956: 287-300. Print.
Chernikov, AA., Tél, T., Vattay, G. and G. M. Zaslavsky. “Chaos in the relativistic generalization of the standard map”. Phys. Rev. Oct. 1989: 4072. Print.
da Costa, Newton and Franciso Antonio Doria. “Undecidability and incompleteness in classical mechanics”. Internat. J. Theoret. Phys. 1991: 1041-1073. Print.
Di Prisco, Alicia, Herrera, Luis and Jaume Carot. “On the chaotic behaviour induced by surface phenomena in some general relativistic stellar models”. Physics Letters A. May. 1990: 105-109. Print.
Dilts, Gary. “Chaotic plane-wave solutions for the relativistic selfinteracting quantum electron”. Physica D: Nonlinear Phenomena. Dec. 1986: 470-478. Print.
Earman, John. A Primer on Determinism. Dordrecht: Springer, 1986. Print.
Eckmann, Jean-Pierre and David Ruelle. “Addendum: Ergodic theory of chaos and strange attractors”. Rev. Mod. Phys. Oct. 1985: 1115. Print.
Einstein, Albert. “Zur Elektrodynamik bewegter Körper”. Annalen der Physik. 1905: 891-921. Print.
Eddington, Arthur S. The Mathematical theory of relativity. Cambridge: Cambridge University Press, 1923. Print.
---. The Nature of the Physical World. Michigan: MacMillan, 1928. Print.
Finkelstein, David. “Matter, space and logic”. Boston Studies in the Philosophy of Science. 1968: 199-215. Print.
Giannetto, Enrico. “Henri Poincaré and the rise of special relativity”. Hadronic Journal. 1995 (Sup.): 365-433. Print.
---. “Max Born and the Rise of Chaos Physics”. Atti del XIII Congresso Nazionale di Storia della Fisica. Ed. Andrea Rossi. Lecce: Conte, 1995. Print.
Havas, Peter. “Four-Dimensional Formulations of Newtonian Mechanics and Their Relation to the Special and the General Theory of Relativity”. Reviews of Modern Physics. Oct. 1964: 938. Print.
Il‑Tong, Cheon. “Extended Theory of Special Relativity and Photon Mass”. Lettere al Nuovo Cimento. Dic. 1980: 518-520. Print.
Klein, Felix. “Vergleichende Betrachtungen über neuere geometrische Forschungen”. Math. Ann. 1893: 63-100. Print.
Lorenz, Edward. “Deterministic Nonperiodic Flow”. Journal of the Atmospheric. 1963: 130-141. Print.
Moore, Cristopher. “Unpredictability and undecidability in dynamical systems”. Phys. Rev. Lett. May. 1990: 2354. Print.
Poincaré, Henri. Les méthodes nouvelles de la mécanique céleste. Paris: Gauthier Villars, 1899. Print.
---. “L’état actuel et l’avenir de la physique mathématique”. Bulletin des Sciences Mathématiques. 1904: 302-324. Print.
---. “Sur la dynamique de l’électron”. Comptes Rendus de l’Académie des Sciences. 1905: 1504-1508. Print.
---. “On the dynamics of the electron: Introduction”. Rendiconti del Circolo Matematico di Palermo. 1906: 129-145. Print.
Prigogine, Ilya. La nascita del tempo. Napoli: Theoria, 1988. Print.
---. Le leggi del caos. Bari: Laterza, 1993. Print.
Rasband, S. Neil. Chaotic Dynamics of Nonlinear Systems. New York: Wiley, 1990. Print.
Ruelle, David. Elements of differentiable dynamics and bifurcation theory. New York: Academic Press, 1989. Print.
Schroeder, Manfred. Fractals, Chaos, Power Laws: Minutes from an infinite paradise. London: Dover Publications, 2009. Print.
Segal, Ezra. Mathematical Cosmology and Extragalactic Astronomy. New York: Accademic Press, 1976. Print.
Svozil, Karl. “Quantum field theory on fractal spacetime: A new regularisation method”. Journal of Physics A: Mathematical and General. 1987: 3961. Print.
Svozil, Karl and Anton Zeilinger. Dimension of Space-Time. Vienna: Institut für Theoretische Physik, 1985. Print.
Tyapkin, Alexey. “Expression of the General Properties of Physical Processes in the Space-Time Metric of the Special Theory of Relativity”. Soviet Physics Uspekhi. 1972: 205-225. Print.
Whitehead, Alfred North. Space, Time and Relativity. Proceedings of the Aristotelian Society. 1915-1916: 104-129. Print.
Zak, Michail. “Introduction to Terminal Dynamics”. International Journal of Theoretical Physics. 1993: 59-87. Print.
Zardecki, Andrew. “Modeling in chaotic relativity”. Phys. Rev. Sep. 1983: 1235. Print.
Zeeman, E.C. “Causality Implies the Lorentz Group”. J. Math. Phys. Apr. 1964: 490-493. Print.
Zeilinger, Anton and Karl Svozil. “Measuring the Dimension spacetime”. Phys Rev. Lett. Jun. 1985: 2553. Print.
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