Solving Zeno's aporias based on a dialectical approach
and the latest discoveries in physics:ontological consequences
This study analyzes the aporias of Zeno of Elea: "Achilles", "Arrow" and "Dichotomy" in order to propose approaches to their resolution in accordance with the latest results of scientific research in the field of natural science. In this case, the dialectical method is used. The relevance of the problems posed by Zeno related to the nature of space, time and motion is shown. The results of this study made it possible to formulate in some cases their final resolution, and in others, formulate hypotheses that require confirmation through the further development of quantum physics. In the case of the Achilles aporia, the solution is based on understanding the closest possible bodies not as strictly isolated from each other, but as exchanging matter and energy, for example, in heat exchange processes or in the photoelectric effect. Thus, the contact of the catching object with the pursued is not reducible to a certain moment, but consists in a gradual process of increasing the intensity of interaction between them. In the case of Zeno's "Arrow" and "Dichotomy" aporias, the complexity of the problems raised and the hypothetical nature of many theoretical constructs related to them, as well as the presence of various interpretations of quantum mechanics, do not allow us to formulate definitive solutions that could claim universal acceptance. However, a solution is proposed based on the interpretation of Heisenberg-Fock quantum mechanics in the philosophical interpretation of A. Yu. Sevalnikov, which describes the mechanism of transition from the indefinite state of subatomic reality to an ordered picture of movement at the macro level through the process of decoherence, due to the property of photons, which has received the name of "quantum time reversal".
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Altukhov, V. L. (2014), “The uncertainty principle, the aporias of Zeno (of Elea) and the mystery of motion”, Aktualnyye problemy sovremennoy nauki [Current problems of modern science], 3, 38-44. (in Russ.).
Antipenko L., Belyakov A., Vladimirov Yu., Godarev-Lozovsky M., Kopeikin K., Lipkin A., Nikulov A., Panov A., Sergievskaya G., Sevalnikov A., Spaskov A., & Terekhovich V. (2017), “The problem of realism in modern quantum mechanics. Materials of Discussion”, Philosophy of Science and Technology, 21(2), 34-64. (In Russ.). EDN: XXZQSJ
Barad, K. M. (2001), Meeting the Universe Halfway, Duke University Press Books, Durham, NC.
Bendegem van, J. P. (1987), “Discussion: Zeno's Paradoxes and the Tile Argument”, Philosophy of Science, 54(2), 295–302. DOI: 10.1086/289379
Berestov, I. V. (2021), Zenon Eleisky v sovremennyh perevodah i filosofskikh diskussiyakh [Zeno of Elea in Modern Translations and Philosophical Discussions], Center for the Study of Ancient Philosophy and Classical Tradition, NSU: Offset-TM, Novosibirsk (in Russ.).
Braun, M. A. & Izergin, A. G. (1971), “Composite and elementary particles with the same quantum numbers in quantum field theory”, Theoretical and Mathematical Physics, 8(1), 37-48 (in Russ.).
Clauser, J. F. (2003), “Early History of Bell’s Theorem. Coherence and Quantum Optics VIII”, Proceedings of the Eighth Rochester Conference on Coherence and Quantum Optics, held at the University of Rochester, June 13–16, 2001, Springer, Boston, MA, 19-44. DOI: 10.1007/978-1-4419-8907-9_2
Domanov, O. A. (2022), “Zeno's Paradoxes and the Notion of Point”, Respublica Literaria, 3(4), 33-39 (in Russ.). DOI: 10.47850/RL.2022.3.4.33-39
Gainutdinov, R. Kh. (2009), “Quantum Zeno Paradox and Dynamics of Systems at Small Times”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 151(1), 58-65 (in Russ.). EDN: KUVMZV
Gurov, V. A. & Kubankov, A. N. (2022), “String Theory – The Theory of Everything”, Eurasian Union of Scientists. Series: technical, physical and mathematical sciences, 1, 37-41 (in Russ.). DOI: 10.31618/ESU.2413-9335.2022.1.94.1614; EDN: YBBIPE
Huggett, N. (ed.) (1999), Space from Zeno to Einstein, MIT Press.
Karpenko, I. A. (2022), “Zeno’s Paradoxes and the Quantum Microworld: What Do Paradoxes Mean”, Voprosy Filosofii, 10, 132-142 (in Russ.). DOI: 10.21146/0042-8744-2022-10-132-142
Klein, M. (1984), Matematika. Utrata opredelyonnosti [Mathematics. The Loss of Certainty], Translated by Danilov, Yu. A., in Yaglom, I. M. (ed.), Mir, Moscow, USSR (in Russ.).
Lasukov, V. V. (2009), “Time Quanta”, Russian Physics Journal, 52(4), 337-342. DOI: 10.1007/s11182-009-9248-x; EDN: MXAFQX
Misra, B. & Sudarshan, E. C. G. (1977), “The Zenon's paradox in quantum theory”, J. Math. Phys, 18, 756-763.
Pavlenko, Yu. V. (2017), “Facets of natural science: basic elementary and composite particles”, Bulletin of the Trans-Baikal State University, 23(7), 4-15 (in Russ.). DOI: 10.21209/2227-9245-2017-23-7-4-15; EDN: ZISVFR
Penrose, R. (2014), Tsikly vremeni. Novy vzglyad na evolyutsiyu Vselennoy [Cycles of Time. An Extraordinary New View of the Universe], Transl. from English by Khachoyan, A. V., BINOM. Laboratoriya znaniy, Moscow, Russia (in Russ.).
Pris, I. E. (2021), “On the fundamental conceptual principle of quantum mechanics”, Philosophy of Science, 4, 82-92 (in Russ.). DOI: 10.15372/PS20210407; EDN: AHGIZG
Rudnitskaya, T. G. (2010), Elementary Particles and Fundamental Interactions, Izyumov, Yu. A. (ed.), Institute of Metal Physics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, Russia (in Russ.). EDN: QJXKWT
Salom, I. (2024), “2022 Nobel Prize in Physics and the End of Mechanistic Materialism. Part 1: Historical Overview”, Ideas and Ideals, 16(3-1), 195-228 (in Russ.). DOI: 10.17212/2075-0862-2024-16.3.1-195-228
Sevalnikov, A. Yu. (2019), “An overview of the Panel discussion "Fundamental problems of modern quantum physics"”, Vox. Philosophical Journal, 26, 154-186 (in Russ.). DOI: 10.24411/2077-6608-2019-00010; EDN: SQJNEJ
Sevalnikov, A. Yu. (2016), “Physics and philosophy: old problems and new solution”, Philosophy Journal, 9(1), 42-60 (in Russ.). EDN: VUDZSR
Silagadze, Z. K. (2005), “Zeno meets modern science”, Acta Physica Polonica B, 36, 2887-2930. DOI: 10.48550/arXiv.physics/0505042
Smolin, L. (2001), Three Roads to Quantum Gravity, Basic Books, New York, N.Y.
Strömberg, T., Schiansky, P., Quintino, M. T., Antesberger, M., Rozema, L. A., Agresti, I., Brukner, C. & Walther, Ph. (2024), “Experimental superposition of a quantum evolution with its time reverse”, Phys. Rev. Research, 6(2), DOI: 10.1103/PhysRevResearch.6.023071
Vasyukov, V. L. (2005), Kvantovaya logika [Quantum logic], PER SE, Moscow, Russia (in Russ.).
Vilesov, Yu. F. (2002), “Zeno's Aporias and Heisenberg's Uncertainty Relation”, Bulletin of Moscow University. Series 7. Philosophy, 6, 20-28 (in Russ.).
Yushkevich, A. P. (ed), (1970), Istoriya matematiki s drevneyshikh vremen do nachala XIX stoletiya: v 3 t. T. 1 [History of Mathematics from Ancient Times to the Beginning of the 19th Century: in 3 volumes. Vol. 1], Nauka, Moscow, USSR (in Russ.).