Contra el espacio infinito en cosmologíauna defensa del finitismo físico

  1. Rafael Andrés Alemañ Berenguer
Revista:
Thémata: Revista de filosofía

ISSN: 0212-8365 2253-900X

Any de publicació: 2024

Número: 69

Pàgines: 30-54

Tipus: Article

DOI: 10.12795/THEMATA.2024.I69.02 DIALNET GOOGLE SCHOLAR lock_openAccés obert editor

Altres publicacions en: Thémata: Revista de filosofía

Resum

The finitude or infinitude of the universe divided the ancient philosophers while fueling a debate intertwined with the subtleties of the very concept of infini-ty and the plausibility of its realization in the physical world. As the first steps in the formal domain of mathematical infinity were taken in the 19th century, the question of the cosmic size remained open and expecting better empirical evi-dence. At the end of the 20th century, the observational data of cosmology seemed to opt for an infinite volume, although the delicate metaphysical problems that such an option implies have rarely been highlighted. As a result, the present pa-per will defend, from a finitist position that rejects factual infinity, the impos-sibility of an infinite three-dimensional volume for our cosmos and, therefore, the necessity of reconsider this element of our present cosmological models

Referències bibliogràfiques

  • Abbott, Benjamin y otros. “Observation of Gravitational Waves from a Binary Black Hole Merger”, Physical Review Letters, 116:061102 (2016). https://doi.org/10.1103/PhysRevLett.116.061102.
  • Albrecht, Andreas. “Cosmic Inflation and the Arrow of Time”. Science and Ultimate Reality: Quantum Theory, Cosmology and Complexity., eds. John Barrow, Paul Davies y Charles Harper. Cambridge: Cambridge University Press, 2004. 363-401.
  • Atkinson, David y Porter Johnson. “Nonconservation of Energy and Loss of Determinism II. Colliding with an Open Set”, Foundations of Physics 40 (2010): 179–189. https://doi.org/10.1007/s10701-009-9384-8
  • Aurich, Ralf, Thomas Buchert, Martin France y Frank Steiner. “The variance of the CMB temperature gradient: a new signature of a multiply connected Universe”. https://arxiv.org/abs/2106.13205v1, 2021
  • Bunge, Mario y Eduardo Garcia-Maynez. “A relational theory of physical space”, International Journal of Theoretical Physics, 15 (1977): 961–972.
  • Chandrasekhar, Subrahmanyan. “The Highly Collapsed Configurations of a Stellar Mass”, Mon. Not. Roy. Astron. Soc. 91 (1931a): 456-466.
  • Chandrasekhar, Subrahmanyan. “The Maximum Mass of Ideal White Dwarfs”, Astrophys. J. 74 (1931b): 81-82.
  • Chandrasekhar, Subrahmanyan. “Some Remarks on the State of Matter in the Interior of Stars”, Z. f. Astrophysik 5 (1932): 321-327.
  • Dauben, Joseph. Georg Cantor: His Mathematics and Philosophy of the Infinite. Princeton: Princeton University Press, 1990,
  • Eddington, Arthur. The mathematical theory of relativity. Cambridge (UK): Cambridge University Press, 1923.
  • Einstein, Albert. “Kosmologische Betrachtungen zur allgemeinen Relativitaetstheorie”, Sitzungsberichte der Preussischen Akademie der Wissenschaften zu Berlin 8 (1917): 768-770.
  • Ellis, George, Krzysztof Meissner y Hermann Nicolai. “The physics of infinity”, Nature Physics 14 (2018): 770-772.
  • Finkelstein, David. “Past-Future Asymmetry of the Gravitational Field of a Point Particle”, Phys. Rev.110 (1958): 965-967.
  • Flapan, Erica. Knots, molecules, and the universe: an introduction to topology. Providence: American Mathematical Society, 2010.
  • Goldhaber, Gerson. “The Acceleration of the Expansion of the Universe: A Brief Early History of the Supernova Cosmology Project (SCP)”, Proceedings of the 8th UCLA Dark Matter Symposium 1166 (2009): 53–72.
  • Hawking, Stephen y Roger Penrose. “The singularities of gravitational collapse and cosmology”, Proc. Roy. Soc. A314 (1970): 529 – 548.
  • Hoefer, Carl. 2000. “Energy conservation in GTR”, Studies in History and Philosophy of Science B 14 (3): 237-256.
  • Lachieze-Rey, Marc y Jean-Pierre Luminet. “Cosmic topology”, Physics Reports 254 (1995): 135-214.
  • Lam, Vincent. “Gravitational and nongravitational energy: The need for background structures”, Philosophy of Science 78 (2011): 1012–1023.
  • Linde, Andrei. Inflationary cosmology. Berlin: Springer, 2008.
  • Manchak, John. Global Spacetime Structure. Cambridge (UK): Cambridge University Press, 2020.
  • Manchak, John. “Can we know the global structure of spacetime?”, Studies in History and Philosophy of Modern Physics 40 (2009): 53–56.
  • Misner, Charles, Kip Thorne, y John Wheeler. Gravitation. San Francisco: Freeman, 1973.
  • Mottola, Emil y Pawel Mazur. “Gravitational Condensate Stars”, Proc. Nat. Acad. Sci. 111 (2004): 9545-9550.
  • Norton John. “The Cosmological Woes of Newtonian Gravitation Theory”, The expanding worlds of general relativity, eds. Hubert Goenner, Jürgen Renn, Jim Ritter y Tilman Sauer. Boston: The Center for Einstein Studies, 1999. 271-297.
  • Oppenheimer Robert y George Volkoff. “On Massive Neutron Cores”, Phys. Rev. 55 (1939): 374–381.
  • Oppy, Graham. Philosophical Perspectives on Infinity. New York: Cambridge University Press, 2006.
  • O’raifeartaigh, Cormac, Michael O’keeffe, Werner Nahm y Simon Mitton. “One hundred years of the cosmological constant: from superfluous stunt to dark energy”, The European Physical Journal H 43 (2018): 73–117.
  • Padmanabhan, Thanu. Gravitation: Foundations and frontiers. Cambridge (UK): Cambridge University Press, 2010
  • Penrose, Roger. “Gravitational Collapse: The Role of General Relativity”, Revista del Nuovo Cimento - Numero Speciale 1 (1969): 252–276.
  • Penrose, Roger. “Chandrasekhar, Black Holes, and Singularities”, J. Astrophys. Astr. 17 (1996): 213–231.
  • Penrose, Roger. “Before the Big Bang: An Outrageous New Perspective and its Implications for Particle Physics”, Proceedings of the EPAC 2006, (Edinburgh, Scotland), 2006. 2759–2762.
  • Perez-Laraudogoitia, Jon. “A Flawed Argument Against Actual Infinity in Physics”, Foundations of Physics 40 (2010): 1902–1910. https://doi.org/10.1007/s10701-010-9498-z
  • Perlmutter, Saul y otros. “Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications”, Nature 391 (1998): 5154.
  • Romero, Gustavo. “On the Ontology of Spacetime: Substantivalism, Relationism, Eternalism, and Emergence”, Foundations of Science 22 (2017): 141–159. https://doi.org/10.1007/s10699-015-9476-1
  • Schroedinger, Erwin. Space-time structure. Cambridge (UK): Cambridge University Press, 1950.
  • Schwarzschild, Karl. „Über das Gravitationsfeld eines Massenpunktes nach der Einsteinschen Theorie“, Sitz. Preuss. Akad. Wiss. (Phys. Math. Kl), 1916. 189-196.
  • Seeliger Hugo. “Über das Newton’sche Gravitationsgesetz”, Astronomische Nachrichten, 137 (1895): 129–136.
  • Smeenk, Chris y Christian Wuthrich. “Determinism and general relativity”, Philosophy of Science, 10.1086/713904 (arXiv:2009.07555v1), 2020
  • Steinhardt, Paul y Neil Turok. Endless Universe. New York: Doubleday, 2007.
  • Thurston, William. “On the geometry and dynamics of diffeomorphisms of surfaces”, Bull. Amer. Math. Soc. 19 (1988): 417 – 431.
  • Thurston, William. Three-Dimensional Geometry and Topology (vol. I). Princeton: Princeton University Press, 1997.
  • Vickers, Peter. “Was Newtonian Cosmology Really Inconsistent?”, Studies in History and Philosophy of Modern Physics 40 (2008): 197–208.
  • Wald, Robert. General Relativity. Chicago: University of Chicago Press, 1984.
  • Weinberg, Steven. Gravitation and Cosmology. New York: John Wiley & Sons Inc, 1971.
  • Weinberg, Steven. “Ultraviolet divergencies in quantum theories of gravitation”. General relativity, an Einstein Centenary survey, eds. Stephen Hawking y Werner Israel. Cambridge: Cam. Univ. Press, 1979. 790-831.