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О результатах, изложенных в препринтах, не следует сообщать в СМИ как о проверенной информации.
Цель работы в рассмотрении природы через объединение двух концепций: континуума и реляционности. В зависимости от того, что ставить вначале, мы: рассматриваем континуум с реляционной точки зрения, или дополняем реляционный взгляд на природу концепцией континуума.
Прокопов А. А. 2021. К ВОПРОСУ О НЕПРЕРЫВНОСТИ В ФИЗИКЕ. PREPRINTS.RU. https://doi.org/10.24108/preprints-3112244
1. Aerts, Diederik, and Massimiliano Sassoli de Bianchi. 2015, “Do Spins Have Directions?” Soft Computing 21.6 (2015): 1483–1504. Crossref. Web.
2. Arenhart, J.R.B. The received view on quantum non-individuality: formal and metaphysical analysis. Synthese 194, 1323–1347 (2017). https://doi.org/10.1007/s11229-015-0997-5
3. Auyang, Sunny Y. (1995). How is Quantum Field Theory Possible?. Oxford University Press.
4. Baez J.C. 2020, «Struggles with the Continuum», arXiv.org > math-ph > arXiv:1609.01421.
5. Bangu, S., Moir, R.H.C. 2018, “The ‘Miracle’ of Applicability? The Curious Case of the Simple Harmonic Oscillator”. Found Phys 48, 507–525. https://doi.org/10.1007/s10701-018-0152-5
6. Bell, J., & Aspect, A. 2004. Speakable and Unspeakable in Quantum Mechanics: Collected Papers on Quantum Philosophy (2nd ed.). Cambridge: Cambridge University Press. doi:10.1017/CBO9780511815676
7. Ben-Yami, H. Absolute Distant Simultaneity in Special Relativity. Found Phys 49, 1355–1364 (2019). https://doi.org/10.1007/s10701-019-00306-7
8. Birkhoff, Garrett, and John Von Neumann. 1936. “The Logic of Quantum Mechanics.” Annals of Mathematics, vol. 37, no. 4.
9. Bohm, D. 1980. “Wholeness and the Implicate Order”. Routledge and Kegan Paul, London.
10. Boniolo, G., de Felice, F. 2000, “On the Philosophical Foundations of Measurements in General Relativity”. Foundations of Physics 30, 1629–1641. https://doi.org/10.1023/A:1026494032358
11. Burov A., Burov L. 2016, “Genesis of a Pythagorean Universe”. In: Aguirre A., Foster B., Merali Z. (eds) Trick or Truth?. The Frontiers Collection. Springer, Cham. https://doi.org/10.1007/978-3-319-27495-9_14
12. Brukner C., Zeilinger A. 2002, “Information and fundamental elements of the structure of quantum theory”, arXiv.org > quant-ph > arXiv:quant-ph/0212084.
13. Bub J. 2004. “Why the quantum?”, arXiv.org > quant-ph > arXiv:quant-ph/0402149.
14. Bub J. 2010, “Quantum probabilities: an information-theoretic interpretation”. arXiv.org > quant-ph > arXiv:1005.2448.
15. Chiara M.L.D., Di Francia G.T. 1993, Individuals, Kinds and Names in Physics. In: Corsi G., Chiara M.L.D., Ghirardi G.C. (eds) Bridging the Gap: Philosophy, Mathematics, and Physics. Boston Studies in the Philosophy of Science, vol 140. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2496-6_13
16. Chiara M.L.D., di Francia G.T. (1995) Identity Questions from Quantum Theory. In: Gavroglu K., Stachel J., Wartofsky M.W. (eds) Physics, Philosophy, and the Scientific Community. Boston Studies in the Philosophy of Science, vol 163. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2658-0_3
17. De Barros, J. Acacio, Federico Holik, and Décio Krause. “Indistinguishability and the Origins of Contextuality in Physics”. 2019, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377.2157 (2019): 20190150. Crossref. Web.
18. Dantas C.C. 2016, “The Ultimate Tactics of Self-referential Systems”. In: Aguirre A., Foster B., Merali Z. (eds) Trick or Truth?. The Frontiers Collection. Springer, Cham. https://doi.org/10.1007/978-3-319-27495-9_17
19. de Ronde, C., Freytes, H. & Sergioli, G. “Quantum probability: a reliable tool for an agent or a reliable source of reality?”. Synthese 2019, . https://doi.org/10.1007/s11229-019-02177-x
20. Earman, J., 1989, “World Enough and Space-Time”, Cambridge: MIT Press.
21. Feferman S. 2008, “Conceptions of the Continuum”. http://math.stanford.edu/~feferman/papers/Continuum-I.pdf
22. French, S. 1999, Models and mathematics in physics: The role of group theory. In Jeremy Butterfield & Constantine Pagonis (eds.), From Physics to Philosophy. Cambridge University Press. pp. 187--207.
23. French, S., 2019, “Identity and Individuality in Quantum Theory”, The Stanford Encyclopedia of Philosophy. https://plato.stanford.edu/entries/qt-idind/#PII
24. French, S. and Redhead, M., 1988, “Quantum Physics and the Identity of Indiscernibles”, British Journal for the Philosophy of Science, 39: 233–246.
25. French S.R.D, Rickles D. P. 2003, “Understanding Permutation Symmetry”, arXiv.org > quant-ph > arXiv:quant-ph/0301020
26. Fuchs C.A. 2001, “Quantum Foundations in the Light of Quantum Information”, arXiv.org > quant-ph > arXiv:quant-ph/010616615.
27. Fuchs C.A. 2003, “Quantum Mechanics as Qquantum Information. Mostly”, Perimeter Institute. http://perimeterinstitute.ca/personal/cfuchs/Oviedo.pdf
28. Fuchs C.A. 2016, “On Participatory Realism”, arXiv.org > quant-ph > arXiv:1601.04360.
29. Hartle J.B. 1968, “Quantum mechanics of individual systems”, American Journal of Physics, V.36, № 8.
30. Höhn, Philipp Andres. 2017, “Toolbox for Reconstructing Quantum Theory from Rules on Information Acquisition.” Quantum 1 (2017): 38. Crossref. Web.
31. Jantzen, B., 2011, “An Awkward Symmetry: The Tension between Particle Ontologies and Permutation Invariance”, Philosophy of Science, 78: 39–59.
32. Knuth K.H. 2016, “The Deeper Roles of Mathematics in Physical Laws”. In: Aguirre A., Foster B., Merali Z. (eds) Trick or Truth?. The Frontiers Collection. Springer, Cham. https://doi.org/10.1007/978-3-319-27495-9_7
33. Kochen S., Specker E. P. 1967, "The problem of hidden variables in quantum mechanics", Indiana Univ. Math. J. 17 No. 1 (1968), 59–87.
34. Landsman K. 2017, “The measurement problem. In: Foundations of Quantum Theory”. Fundamental Theories of Physics, vol 188. Springer, Cham. https://doi.org/10.1007/978-3-319-51777-3_11
35. Laudisa, F. 2019, “Open Problems in Relational Quantum Mechanics”. J Gen Philos Sci 50, 215–230. https://doi.org/10.1007/s10838-019-09450-0
36. Leifer, Matthew Saul. 2014, “Is the Quantum State Real? An Extended Review of ψ-Ontology Theorems.” Quanta 3.1 (2014): 67. Crossref. Web.
37. Martin-Dussaud, P. 2021, Relational Structures of Fundamental Theories. Found Phys 51, 24.
38. Mermin, N. David. 1998, “The Ithaca Interpretation of Quantum Mechanics.” Pramana 51.5 (1998): 549–565. Crossref. Web.
39. Morganti, M., 2009, “Inherent Properties and Statistics with Individual Particles in Quantum Mechanics”, Studies in History and Philosophy of Modern Physics, 40: 223–231.
40. Morganti, M. 2009, “A new look at relational holism in quantum mechanics”. Philosophy of Science 76 (5):1027--1038.
41. Müller, Markus P. 2020, “Law Without Law: From Observer States to Physics via Algorithmic Information Theory.” Quantum 4 (2020): 301. Crossref. Web.
42. Müller, Markus P. 2020(2), “Undecidability and unpredictability: not limitations, but triumphs of science.” arXiv.org > physics > arXiv:2008.09821
43. Petitot J., Smith B. 1990, “New foundations for qualitative physics.” In J. E. Tiles, G. T. McKee & C. G. Dean (eds.), Evolving Knowledge in Natural Science and Artificial Intelligence. London: Pitman Publishing. pp. 231-49.
44. Proietti, M. et al. 2012, “Experimental Test of Local Observer Independence.” Science Advances 5.9 (2019): eaaw9832. Crossref. Web.
45. Pusey, Matthew F., Jonathan Barrett, and Terry Rudolph. 2012, “On the Reality of the Quantum State.” Nature Physics 8.6 (2012): 475–478. Crossref. Web.
46. Redhead, M., Teller, P. “Particles, particle labels, and quanta: The toll of unacknowledged metaphysics”. Found Phys 21, 43–62 (1991). https://doi.org/10.1007/BF01883562
47. Rovelli, C. 1996, “Relational Quantum Mechanics.” International Journal of Theoretical Physics 35.8 (1996): 1637–1678. Crossref. Web.
48. Rovelli, C. 2011, “Forget time”. Found Phys 41, 1475. https://doi.org/10.1007/s10701-011-9561-4Rovelli, C. 2011, “Forget time”. Found Phys 41, 1475. https://doi.org/10.1007/s10701-011-9561-4.
49. Rovelli, C. 2019, “Neither Presentism nor Eternalism.” Foundations of Physics 49.12 (2019): 1325–1335. Crossref. Web.
50. Sant'Anna A. S. 2004, “Individuality as an illusion”. arXiv.org > quant-ph > arXiv:quant-ph/0409025
51. Séguin M. 2016, “My God, It’s Full of Clones: Living in a Mathematical Universe”. In: Aguirre A., Foster B., Merali Z. (eds) Trick or Truth?. The Frontiers Collection. Springer, Cham. https://doi.org/10.1007/978-3-319-27495-9_4
52. Spekkens, R. W. 2007, “Evidence for the Epistemic View of Quantum States: A Toy Theory.” Physical Review A 75.3: n. pag. Crossref. Web.
53. Steiner M. 1998, “The Applicability of Mathematics as a Philosophical Problem”. Harvard University Press Cambridge, Massachusetts London, England. ISBN 0-674-04097-X.
54. Teller, P. 1989, “Relativity, relational holism, and the Bell inequalities”. In J. Cushing, & E. McMullin (Eds.), Philosophical consequences of quantum theory:Reflections on Bell’s theorem (pp. 208–223). Notre Dame: University of NotreDame Press.
55. Timpson C.G. 2004, “Quantum Information Theory and the Foundations of Quantum Mechanics”, arXiv.org > quant-ph > arXiv:quant-ph/0412063v1.
56. Timpson C.G. 2007, “Information, Immaterialism, Instrumentalism. Old and New in Quantum Information”, http://users.ox.ac.uk/~bras2317/iii_2.pdf
57. Tong D., 2011, «Physics and the Integers», https://fqxi.org/community/forum/topic/897#post_30914
58. van Fraassen, B.C. (2006), «Structure: Its shadow and substance». British Journal for the Philosophy of Science, 57, 275–307.
59. van Fraassen, Bas C. 2010, “Rovelli’s World”. Foundations of Physics 40 (4):390-417.
60. Wikman, G. 2013. “The Notion of Order in Mathematics and Physics. Similarity, Difference and Indistinguishability”. Found Phys 43, 568–596. https://doi.org/10.1007/s10701-012-9688-y
61. Woit P. 2017, “Quantum Theory, Groups and Representations”. https://www.math.columbia.edu/~woit/QM/fall-course.pdf
62. Wolff, J. 2015, “Observability, Visualizability and the Question of Metaphysical Neutrality”. Found Phys 45, 1046–1062. https://doi.org/10.1007/s10701-015-9904
63. Wuthrich C. 2012, “The fate of presentism in modern physics”, arXiv.org > physics > arXiv:1207.1490
64. Yang, J.M. 2019, “Consistent Descriptions of Quantum Measurement”. Found Phys 49, 1306–1324. https://doi.org/10.1007/s10701-019-00305-8
65. Zeilinger A. 1999a, “A Foundational Principle for Quantum Mechanics,” Found. of Phys. 29, 631.
66. Zeilinger A. 1999b “Experiment and the Foundations of Quantum Physics”. In: Bederson B. (eds) More Things in Heaven and Earth. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1512-7_30
67. Бор Н. 1957, “Атомная физика и человеческое познание” М.: Издательство иностранной литературы, 1961.
68. Вайнберг С. 1992, “Мечты об окончательной теории. Физика в поисках самых фундаментальных законов природы”. ЛКИ, 2008.
69. Вигнер. Ю. 1960, “Непостижимая Эффективность Математики в Естественных Науках”, УФН, том 94. вып. 3. 1968.
70. Горелик Г.Е. 1982, “Почему пространство трехмерно?” М.: Наука, 168 с.
71. Гуссерль Э. 1937, “Кризис европейских наук и трансцендентальная феноменология: Введение в феноменологическую философию”. Спб.: Владимир Даль, 2004.- 400 с. ISBN:5-93615-017-8
72. Манин Ю. И. 1976, “Проблема континуума”, Итоги науки и техн. Сер. Соврем. пробл. мат., 5, ВИНИТИ, М., 1975, 5–72; J. Soviet Math., 5:4, 451–501
73. Мейясу К. 2015, После конечности: эссе о необходимости контингентности / пер. с фр. Л. Медведевой, науч. ред. П. Хановой. Екатеринбург; Москва: Кабинетный ученый.
74. Пасынков Б. А., Федорчук В. В., Филиппов В. В. 1979, Теория размерности, Итоги науки и техн. Сер. Алгебра. Топол. Геом., том 17, 229–306
75. Тегмарк М., Наша математическая вселенная., АСТ, 2016.
76. Френкель А.А., Бар-Хиллел И. 1958, “Основания теории множеств”, МИР, Москва, 1966.
77. Шрёдингер Э. 1951, “Наука и гуманизм”. — Ижевск: НИЦ «Регулярная и хаотическая динамика», 2001. — 63 с.
