Worldlines and social networks
Keywords:
worldline, string, brane, social network, attraction, repulsionAbstract
Familiar laws of physics are applied to study human relations, modelled by their world lines (worldlines) combined with social networks. We focus upon the simplest, basic element of any society: a married couple, stable due to the dynamic balance between attraction and repulsion. By building worldlines (worldsheets), we arrive at a two-level coordinate systems: one describing the behaviour of a string-like binary system (here, a married couple), the other one, external, corresponding to the motion of this couple in the medium, in which the worldline is embedded, sweeping there a string-like sheet or brane. The approach is illustrated by simple examples (semi-quantitative toy models) of worldlines (sheets), open to further extension, perfections and generalisation. Worldlines are combined with social networks. Simple illustrative examples with empirical inputs taken from intuition and (or) observation are appended.
References
- Buchanan M. Social atom: why the rich get richer, cheaters get caught, and your neighbor usually looks like you. New York: Bloomsbury Publishing PLC; 2007. 265 p.
- Albert R, Barabási A-L. Statistical mechanics of complex networks. Reviews of Modern Physics. 2002;74(1):47–97. DOI: 10.1103/RevModPhys.74.47.
- Lovász L, Plumer MD. Matching Theory. Amsterdam: North Holland; 1986. 543 p. Co-published by the «Akadémiai Kiadó». (North-Holland mathematics studies; volume 121).
- Galam S. Sociophysics: a review of Galam models. International Journal of Modern Physics C. 2008;19(3):409–440. DOI: 10.1142/S0129183108012297.
- Iztok F Jr, Iztok F, Perc M. Towards the discovery of citation cartels in citation networks. Frontiers in Physics. 2016;4:49. DOI: 10.3389/fphy.2016.00049.
- Wang Zhen, Szolnoki A, Perc M. Interdependent network reciprocity in evolutionary games. Scientific Reports. 2013;3:1183. DOI: 10.1038/srep01183.
- Kulakowski K. Around the gap between sociophysics and sociology [Internet]. 2007 [cited 2008 December 10]. Available from: https://arxiv.org/pdf/0711.2880.pdf.
- Putnam RD. Bowling alone: the collapse and revival of American community. 1st edition. New York: Simon & Schuster; 2001. 544 p.
- Parallelism, Psychophysical. In: Gwinn RP. Encyclopædia Britannica. Volume 20. 11th edition. New York: Cambridge University Press; 1911. p. 762.
- Olds J, Milner P. Positive reinforcement produced by electrical stimulation of septal area and other regions of rat brain. Journal of Comparative and Physiological Psychology. 1954;47(6):419–427. DOI: 10.1037/h0058775.
- Lorenz K. Es redete mit Vieh, den Vögeln and den Fischen. Wien: Buchgemeinschaft Donauland; 1949. 183 S.
- Lorenz K. So kam der Mensch auf den Hund. Wien: Borotha-Schöler; 1949. 234 S.
- Tolstoy L. [Father Sergius]. In: Tolstoy L. Polnoe sobranie sochinenii. Tom 31 [Complete collection of works. Volume 31]. Moscow: Khudozhestvennaya literatura; 1954. p. 5–47. Russian.
- Kant I. Kritik der reinen Vernunft. Riga: Hartknoch. 1781. 856 S.
- Franklin O. World lines. Texas: Epic Press; 2008. 216 p.
- Aksionov MS. Net smerti: novoe uchenie o vremeni [No death: new studies about time]. Izyaslavl’: Tipografiya Z. A. Trakhtenberga; 1918. 53 p.
- Malykin GB. [Russian philosopher Mitrofan Aksionov and the theory of relativity]. Uspekhi fizicheskikh nauk [Internet]. 2015 [cited 2020 July 29]. Available from: https://ufn.ru/tribune/trib117.pdf.
- Barrow JD. Non-Euclidean newtonian cosmology. Classical and Quantum Gravity. 2020;37(12):125007. DOI: 10.1088/1361-6382/ab8437.
- Jenkovszky L. From Euclid to BGL. Ukrainian Journal of Physics. 2019;64(11):977. DOI: 10.15407/ujpe64.11.977.
- Gamow G. My world line. An informal authobiography. New York: Viking Press; 1979. 178 p.
- Gurney K. Introduction to neural networks. London: UCL Press; 1997. 234 p.
- König D. Theory of finite and infinite graphs. Cambridge: Birkhäuser Boston; 1990. 426 p. DOI: 10.1007/978-1-4684-8971-2.
- Barthélemy M. Spatial networks. Physics Reports. 2011;499(1–3):1–101. DOI: 10.1016/j.physrep.2010.11.002.
- Erdős P, Rényi A. On random graphs I. Publicationes Mathematicae Debrecen. 1959;6:290–297.
- Knuth DE. Stable marriage and its relation to other combinatorial problems: an introduction to the mathematical analysis of algorithms. Providence: American Mathematical Society; 1997. 74 p. DOI: 10.1090/crmp/010. (CRM proceedings and lecture notes; volume 10).
- Liu YY, Slotine JJ, Barabási AL. Controllability of complex networks. Nature. 2011;473(7346):167–173. DOI: 10.1038/nature10011.
- Hall P. On representatives of subsets. Journal of the London Mathematical Society. 1935;s1-10(1):26–30. DOI: 10.1112/jlms/s1-10.37.26.
- Dilworth RP. Decomposition theorem for partially ordered sets. Annals of Mathematics. 1950;51(1):161–166. DOI: 10.2307/1969503.
- Quigg C, Rosner JL. Quarkonium level spacings. Physics Letters B. 1977;71(1):153–157. DOI: 10.1016/0370-2693(77)90765-1.
- Weininger O. Geschlecht und Charakter. Wien: Braumüller; 1920. 599 p.
- Bogolubov NN. [Variational equations of quantum field theory]. Doklady Akademii nauk SSSR. 1952;82(2):217–220. Russian.
- Kosyakov BP. On the physical sense of renormalizability. Fizika elementarnykh chastits i atomnogo yadra. 2001;32(4):909–945. Russian.
- McPherson M, Smith-Lovin L, Cook JM. Birds of a feather: homophily in social networks. Annual Review of Sociology. 2001;27(1):415–444. DOI: 10.1146/annurev.soc.27.1.415.
- Tolstoy L. Polnoe sobranie sochinenii. Tom 39 [Complete collection of works. Volume 39]. Moscow: Khudozhestvennaya literatura; 1956. 299 p. Russian.
Downloads
Published
Issue
Section
License
The authors who are published in this journal agree to the following:
- The authors retain copyright on the work and provide the journal with the right of first publication of the work on condition of license Creative Commons Attribution-NonCommercial. 4.0 International (CC BY-NC 4.0).
- The authors retain the right to enter into certain contractual agreements relating to the non-exclusive distribution of the published version of the work (e.g. post it on the institutional repository, publication in the book), with the reference to its original publication in this journal.
- The authors have the right to post their work on the Internet (e.g. on the institutional store or personal website) prior to and during the review process, conducted by the journal, as this may lead to a productive discussion and a large number of references to this work. (See The Effect of Open Access.)