Abstract
Recent progress in quantum gravity [1] and string theory [2] has raised interest among scientists as to whether or not nature “behaves discretely” at the Planck scale. However, it is not clear what this metaphor means or how it should be implemented into systematic study concerning physics and mathematics in the Planck regime.
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References
Isham, C.J. (1995) Structural issues in quantum gravity, gr-qc/9510063.
Smolin, L. (1998) The future of spin networks, in S.A. Huggett, L.J. Mason. K.P. Tod, S.T. Tsou and N.M.I. Woodhouse (eds.), The Geometrical Universe, Oxford University Press, Oxford.
Rovelli, C. (1999) Strings, loops and others: a critical survey of the present approaches to quantum gravity, in N. Dadhich and J.V. Narlikar (eds.), Gravitation and Relativity: At the Turn of the Millennium, Poona University Press.
Requardt, M. (1998) Cellular networks as models for Planck scale physics, J. Phys. A: Math. Gen. 31, 7997–8021; also at hep-th/9806135.
Requardt, M. and Roy, S. (2001) (Quantum) space-time as statistical geometry of fuzzy lumps and the connection with Random metric spaces, Glass. Quant. Grav. 18, 3039–3058.
Butterfield, J.B. and Isham, C.J. (1999) On the emergence of time in quantum gravity, gr-qc/9901024.
Kato, G. (2002) Sheaf theoretic foundations of ontology, preprint.
Penrose, R. (1997) The mysteries of quantum physics, in R. Penrose, A. Shimony, N. Cartwright, S.W. Hawking and M. Longair (eds.), The Large, the Small and the Human Mind, Cambridge University Press, Cambridge, pp. 12–15.
Wheeler, J.A. and Ford, K. (1998) Geons, Black Holes and Quantum Foam, W.W. Norton & Company, New York — London.
Green, M.B., Schwarz, J.H., and Witten, E. (1987) Super-string Theory, Cambridge University Press, Cambridge.
Leibniz, G.W. (1973) The monadology and the Clark-Leibniz correspondence, in M. Morris and G.H.R. Parkinson (trsls.), Leibniz: Philosophical Writings, Dent. London.
Mach, E. (1960) The Science of Mechanics — A Critical and Historical Account of the Development, Open Court, La Salle (originally published in 1886).
Menger, K. (1942) Statistical metrics, Proc. Nat. Acad. Sc. (U.S.A.) 28, 535.
MacLane, S. (2000) Categories for the Working Mathematician (2nd edition), Springer, New York.
d’Espagnat, B. (1995) Veiled Reality: An Analysis of Present-Day Quantum Mechanical Concepts, Addison-Wesley, Reading (Mass.).
Blavatsky, H. (1979) The Secret Doctrine: Volume One, The Theosophical Publishing House, Adyar, Madras, India (7th edition; originally published in 1888).
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Roy, S. (2003). Planck Scale Physics, Pregeometry and the Notion of Time. In: Buccheri, R., Saniga, M., Stuckey, W.M. (eds) The Nature of Time: Geometry, Physics and Perception. NATO Science Series, vol 95. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0155-7_35
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DOI: https://doi.org/10.1007/978-94-010-0155-7_35
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