Abstract
A level of adequacy of a given model with physical world represents an important element of physics. In an “ideal” model each element in the model would correspond exactly to one element in the physical world. In such a model each element would have a direct epistemological correlation with exactly one element of the physical world. Such a model would become a perfect picture of the physical world. The possibility of misinterpretation, in a sense that one searches for physical existence of purely theoretically predicted elements of the model, would be excluded. In order to develop such a model we apply bijective function of set theory. Bijective function applied on time research shows model of space–time has no direct epistemological correlation in physical reality. Time is duration of changes which run in space. Duration does not run in time, duration is time.
Similar content being viewed by others
Notes
Indeed, in the criterion of physical reality of bijective epistemology here proposed, a possible criticism regards the fact that there are probably things or phenomena that are not detectable at the present, even when using the current most sophisticated detectors, but could be detected—for instance—in a future, if the development of civilization will allow an appropriate progress in our techniques of revelation. In order to take account of this possibility, the idea of “enhanced senses” could be further improved and generalized with the concept of “ideally perfect senses”, where “ideally perfect” is meant to indicate just a perception of phenomena through the most sophisticated detectors or objects which are achieved thanks to the development of civilization.
References
Barbour, J. B. (2000). The end of time: The next revolution in physics. Oxford: Oxford University Press.
Barbour, J. (2009). The nature of time. arXiv:0903.3489v1
Barbour, J. B., & Bertotti, B. (1982). Mach’s principle and the structure of dynamical theories. Proceedings of Royal Society A, 382(1783), 295–306.
Barbour, J. B., Foster, B. Z. & Murchadha, N. O’ (2002). Relativity without relativity. Classical and Quantum Gravity, 19, 3217–3248. arXiv:gr-qc/0012089
Caligiuri, L. M., & Sorli, A. (2013). Special theory of relativity postulated on homogeneity of space and time and on relativity principle. American Journal of Modern Physics, 2(6), 375–382. doi:10.11648/j.ajmp.20130206.25
Caticha, A. (2011). Entropic dynamics, time and quantum theory. Journal of Physics A: Mathematical and Theoretical, 44(22), 225303; e-print arXiv:1005.2357v3 [quant-ph]
Chiatti, L. (2012). The transaction as a quantum concept. arXiv.org/pdf/1204.6636
Einstein, A., Podolski, B., & Rosen, N. (1935). Can quantum-mechanical description of physical reality be considered complete? Physical Review, 47(10), 777–780.
Elze, H. T. (2003). Quantum mechanics and discrete time from “timeless” classical dynamics. Lecture Notes in Physics (Vol. 633, p. 196). e-print arXiv:gr-qc/0307014v1
Fiscaletti, D., & Sorli, A. (2008). Non-locality and the symmetrized quantum potential. Physics Essays, 21(4), 245–251.
Fiscaletti, D., & Sorli, A. (2012). Three-dimensional space as a medium of quantum entanglement. Annales UMCS Sectio AAA: Physica, 57, 47–72.
Fiscaletti, D., & Sorli, A. (2014). Non-local quantum geometry and three-dimensional space as a direct information medium. Quantum Matter, 3(3), 200–214.
Girelli, F., Liberati, S., & Sindoni, L. (2009). Is the notion of time really fundamental?. arXiv:0903.4876v1 [gr-qc]
Gózdz, A., & Stefanska, K. (2008). Projection evolution and delayed choice experiment. Journal of Physics: Conference Series, 104, 012007.
Licata, I. (2014). Transaction and non-locality in quantum field theory. European Physical Journal Web of Conferences, 70, 00039.
Markopoulou, F. (2009). Space does not exist, so time can. http://arxiv.org/abs/0909.1861
McTaggart, J. E. (1908). The unreality of time. Mind: A Quarterly Review of Psychology and Philosophy, 17, 456–473.
Moreva, E., Brida, G., Gramegna, M., Giovannetti, V., Maccone, L. & Genovese, M. (2013). Time from quantum entanglement: an experimental illustration. arXiv:1310.4691
Prati, E. (2009). The nature of time: From a timeless Hamiltonian framework to clock time of metrology. arXiv:0907.1707v1 [physics.class-ph]
Rovelli, C. (1991). Time in quantum gravity: An hypothesis. Physical Review D, 43(2), 442–456.
Rovelli, C. (2009). Forget time. arXiv:0903.3832v3 [gr-qc]
Sorli, A., Fiscaletti, D., & Klinar, D. (2010). Time is a reference system derived from light speed. Physics Essays, 23(2), 330–332.
Sorli, A., Fiscaletti, D., & Klinar, D. (2011). New insights into the special theory of relativity. Physics Essays, 24(2), 313–318.
Yourgrau, P. (2006). A world without time: The forgotten legacy of Godel and Einstein. New York: Basic Books.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Fiscaletti, D., Sorli, A. Bijective Epistemology and Space–Time. Found Sci 20, 387–398 (2015). https://doi.org/10.1007/s10699-014-9381-z
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10699-014-9381-z