Representaciones del espacio tiempo y no localidad
Resumen Se presenta un breve panorama de las investigaciones contemporáneas sobre el concepto de espacio, espacio-tiempo y sus relaciones con la no localidad. Para ello se atienden aspectos de la historia del concepto de espacio-tiempo y de la teoría cuántica, así como varios intentos de fusión de estas dos grandes tradiciones conceptuales. Se sostiene que, aún cuando se acepta el importante protagonismo de cada una de ellas, existen numerosas lagunas dignas de exploración entre los abordajes provenientes de la matemática, la física y la filosofía sobre este viejo tema.
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Arkani-Hamed, N., Boujaily, J., Cachazo, F., Goncharov, A., Postnikov, A., Trnka, J. (2016). Grassmannian geometry of scattering amplitudes. Cambridge: Cambridge U. P.
Ashtekar A., Pullin, J. (eds.) (2017). The Overview Chapter in Loop Quantum Gravity: The First 30 Years, en Loop Quantum Gravity. The first 30 years. World Scientific. New Jersey.
Baez, J. (ed.) (1994). Knots and Quantum Gravity. Oxford: Clarendon Press.
Barrau, A. (2017). Testing different approaches to quantum gravity with cosmology: An overview. arXiv: 1705.01597v1 [gr-qc].
Brans, C. (1994). Exotic smoothness and physics. J. Math. Phys. 35 (10).
Calcagni, G. (2017). Complex dimensions and their observability. arXiv: 1705.01619v1 [gr-qc].
Cao, C., Carroll, S., Michalakis, S. (2016). Space from Hilbert Space: Recovering Geometry from Bulk Entanglement. CALT 2016-15. arXiv: 1606.08444v3 [hep-th].
Carlip, S. (2017). Dimension and Dimensional Reduction in Quantum Gravity. arXiv: 1705.05417v1 [gr-qc].
Collins, H. (2004). Gravity’s Shadow. The Search for Gravitational Waves. Chicago: University of Chicago Press.
Connes, A. (2008). Géométrie Non Commutative. Paris. Dunod.
Connes, A. (2012). On the fine structure of spacetime. En Majid, S. (ed.), On Space and Time. Cambridge: Cambridge U. P.
Connes, A., Marcolli, M. (2008). Noncommutative Geometry, Quantum Fields and Motives. New Delhi: AMS. Hidustan Book Agency.
Dawid, R. (2013). String theory and the scientific method. Cambridge: Cambridge U. P.
De Haro, S., Mayerson, D., Butterfield, J. (2016). Conceptual Aspects of Gauge/Gravity Duality. Found Phys 46: 1381-1425.
Earman, J. (1989). World Enough and Space-Time. Cambridge, Mass: The MIT Press.
Einstein, A. (1916). Approximative Integration of the Field Equations of Gravitation. Traducido en: Engel, A., Translator; Schucking E., Consultant: The Collected Papers of Albert Einstein, Vol. 6: The Berlin Years: Writings, 1914- 1917, 1997. New Jersey: Princeton U. P.
Fearnley-Sander, D. (1979). Hermann Grassmann and the Creation of Linear Algebra. Am. Math. Monthly 86, 809-817.
Gauss, C. (1900). Werke Vol. III. Leipzig: Teubner. (carta a Bessel de 1830).
Giustina, M. (2017). On Loopholes and Experiments. En R. Bertlmann and A. Zeilinger (eds), Quantum [Un]Speakables II. Half a Century of Bell’s Theorem. The Frontiers Collection. Cham: Springer.
Grassmann, H. (1947). Teoría de la Extensión. Buenos Aires: Espasa-Calpe.
Hawking, S., Ellis, G. (1973). The large scale structure of space-time. New York: Cambridge U. P.
Hubeny, V. (2015). The AdS/CFT Correspondence. arXiv: 1501.00007v2 [gr-qc].
Hurewicz, W., Wallman, H. (1941). Dimension Theory. Princeton: Princeton Math. Series.
James, I. (ed.) (1999). History of Topology. New York: Elsevier.
Kennefick, D. (2007). Traveling at the speed of thought: Einstein and the Quest for Gravitational Waves. Princeton: Princeton U. P.
Kerszberg, P. (1989). The Invented Universe. Oxford: Clarendon Press.
Lucas, J., Hobson, P. (1990). Spacetime and electromagnetism. New York: Oxford U. P.
Maldacena, J. (1997). The Large N Limit of Superconformal field and supergravity. hep-th/9711200 HUTP-97/A097.
Maldacena, J., Susskind L. (2013). Cool horizons for entangled black holes. arXiv: 1306.0533v2 [hep-th].
Manin, Y. (2005). The notion of dimensión in geometry and algebra. arXiv: math/0502016v1 [math.AG].
Maudlin, T. (2002). Quantum Non-Locality and Relativity. Second edition. Oxford: Blackwell Pub.
Mazur, B. (1997). Conjecture. Synthese, 111, 197-210.
Molina, J. (2011). Fragmentos de Arquíloco. México: Textofilia S.C., Colección Ión.
Musser, G. (2015). Spooky Action at a Distance. New York: Scientific American/ Farrar, Straus and Giroux.
Nagata, J. (1983). Modern Dimension Theory. Berlin: Heldermann Verlag.
Newton, I. (2004). Isaac Newton: Philosophical Writings. Ed. A. Janiak. Cambridge: Cambridge U. P.
Oriti, D. (ed.) (2009). Approaches to Quantum Gravity. Cambridge: Cambridge U. P.
Penrose, R. (1967). Twistor Algebra. J. of Math. Physics, 8 (2), 345.
Pérez, A. (2017). Black Holes in Loop Quantum Gravity. arXiv: 1703.09149v1 [gr-qc].
Rodríguez, V. (2013). El efecto Hall y sus contextos. Scientiae Studia 11(1). San Pablo, Brasil.
Rovelli, C. (2004). Quantum Gravity. Cambridge: Cambridge U. P.
Rangamani, M., Takayanagi, T. (2017). Holographic Entanglement Entropy. Cham: Springer.
Saunders, S., Brown H. (eds.) (1991). The Philosophy of Vacuum. Oxford: Clarendon Press.
Siegfried, T. (2014). Einstein was wrong about spooky quantum entanglement. ScienceNews (On line), Feb. 19.
‘t Hooft, G. (1993). Dimensional reduction in quantum gravity. THU-93/26. gr-qc/9310026.
Van Dongen, J. (2010). Einstein’s Unification. New York: Cambridge U. P.
Van Raamsdonk, M. (2016). Lectures on Gravity and Entanglement. arXiv: 1609.00026v1 [hep-th].
Weinberg, S. (2008). Cosmology. Oxford: Oxford U. P.
Yau, S.-T. (2010). The Shape of Inner Space. New York: Perseus Books Group.
Ashtekar A., Pullin, J. (eds.) (2017). The Overview Chapter in Loop Quantum Gravity: The First 30 Years, en Loop Quantum Gravity. The first 30 years. World Scientific. New Jersey.
Baez, J. (ed.) (1994). Knots and Quantum Gravity. Oxford: Clarendon Press.
Barrau, A. (2017). Testing different approaches to quantum gravity with cosmology: An overview. arXiv: 1705.01597v1 [gr-qc].
Brans, C. (1994). Exotic smoothness and physics. J. Math. Phys. 35 (10).
Calcagni, G. (2017). Complex dimensions and their observability. arXiv: 1705.01619v1 [gr-qc].
Cao, C., Carroll, S., Michalakis, S. (2016). Space from Hilbert Space: Recovering Geometry from Bulk Entanglement. CALT 2016-15. arXiv: 1606.08444v3 [hep-th].
Carlip, S. (2017). Dimension and Dimensional Reduction in Quantum Gravity. arXiv: 1705.05417v1 [gr-qc].
Collins, H. (2004). Gravity’s Shadow. The Search for Gravitational Waves. Chicago: University of Chicago Press.
Connes, A. (2008). Géométrie Non Commutative. Paris. Dunod.
Connes, A. (2012). On the fine structure of spacetime. En Majid, S. (ed.), On Space and Time. Cambridge: Cambridge U. P.
Connes, A., Marcolli, M. (2008). Noncommutative Geometry, Quantum Fields and Motives. New Delhi: AMS. Hidustan Book Agency.
Dawid, R. (2013). String theory and the scientific method. Cambridge: Cambridge U. P.
De Haro, S., Mayerson, D., Butterfield, J. (2016). Conceptual Aspects of Gauge/Gravity Duality. Found Phys 46: 1381-1425.
Earman, J. (1989). World Enough and Space-Time. Cambridge, Mass: The MIT Press.
Einstein, A. (1916). Approximative Integration of the Field Equations of Gravitation. Traducido en: Engel, A., Translator; Schucking E., Consultant: The Collected Papers of Albert Einstein, Vol. 6: The Berlin Years: Writings, 1914- 1917, 1997. New Jersey: Princeton U. P.
Fearnley-Sander, D. (1979). Hermann Grassmann and the Creation of Linear Algebra. Am. Math. Monthly 86, 809-817.
Gauss, C. (1900). Werke Vol. III. Leipzig: Teubner. (carta a Bessel de 1830).
Giustina, M. (2017). On Loopholes and Experiments. En R. Bertlmann and A. Zeilinger (eds), Quantum [Un]Speakables II. Half a Century of Bell’s Theorem. The Frontiers Collection. Cham: Springer.
Grassmann, H. (1947). Teoría de la Extensión. Buenos Aires: Espasa-Calpe.
Hawking, S., Ellis, G. (1973). The large scale structure of space-time. New York: Cambridge U. P.
Hubeny, V. (2015). The AdS/CFT Correspondence. arXiv: 1501.00007v2 [gr-qc].
Hurewicz, W., Wallman, H. (1941). Dimension Theory. Princeton: Princeton Math. Series.
James, I. (ed.) (1999). History of Topology. New York: Elsevier.
Kennefick, D. (2007). Traveling at the speed of thought: Einstein and the Quest for Gravitational Waves. Princeton: Princeton U. P.
Kerszberg, P. (1989). The Invented Universe. Oxford: Clarendon Press.
Lucas, J., Hobson, P. (1990). Spacetime and electromagnetism. New York: Oxford U. P.
Maldacena, J. (1997). The Large N Limit of Superconformal field and supergravity. hep-th/9711200 HUTP-97/A097.
Maldacena, J., Susskind L. (2013). Cool horizons for entangled black holes. arXiv: 1306.0533v2 [hep-th].
Manin, Y. (2005). The notion of dimensión in geometry and algebra. arXiv: math/0502016v1 [math.AG].
Maudlin, T. (2002). Quantum Non-Locality and Relativity. Second edition. Oxford: Blackwell Pub.
Mazur, B. (1997). Conjecture. Synthese, 111, 197-210.
Molina, J. (2011). Fragmentos de Arquíloco. México: Textofilia S.C., Colección Ión.
Musser, G. (2015). Spooky Action at a Distance. New York: Scientific American/ Farrar, Straus and Giroux.
Nagata, J. (1983). Modern Dimension Theory. Berlin: Heldermann Verlag.
Newton, I. (2004). Isaac Newton: Philosophical Writings. Ed. A. Janiak. Cambridge: Cambridge U. P.
Oriti, D. (ed.) (2009). Approaches to Quantum Gravity. Cambridge: Cambridge U. P.
Penrose, R. (1967). Twistor Algebra. J. of Math. Physics, 8 (2), 345.
Pérez, A. (2017). Black Holes in Loop Quantum Gravity. arXiv: 1703.09149v1 [gr-qc].
Rodríguez, V. (2013). El efecto Hall y sus contextos. Scientiae Studia 11(1). San Pablo, Brasil.
Rovelli, C. (2004). Quantum Gravity. Cambridge: Cambridge U. P.
Rangamani, M., Takayanagi, T. (2017). Holographic Entanglement Entropy. Cham: Springer.
Saunders, S., Brown H. (eds.) (1991). The Philosophy of Vacuum. Oxford: Clarendon Press.
Siegfried, T. (2014). Einstein was wrong about spooky quantum entanglement. ScienceNews (On line), Feb. 19.
‘t Hooft, G. (1993). Dimensional reduction in quantum gravity. THU-93/26. gr-qc/9310026.
Van Dongen, J. (2010). Einstein’s Unification. New York: Cambridge U. P.
Van Raamsdonk, M. (2016). Lectures on Gravity and Entanglement. arXiv: 1609.00026v1 [hep-th].
Weinberg, S. (2008). Cosmology. Oxford: Oxford U. P.
Yau, S.-T. (2010). The Shape of Inner Space. New York: Perseus Books Group.
Rodríguez, V. (2018). Representaciones del espacio tiempo y no localidad. ArtefaCToS. Revista De Estudios Sobre La Ciencia Y La tecnología, 7(2), 145–164. https://doi.org/10.14201/art201872145164
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