Abstract
Pythagoreanism: the syncretistic philosophy, expounded by Pythagoras, chiefly distinguished by its description of reality in terms of arithmetical relationships. [‘American Heritage’ dictionary of the English language]
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
C. Preaux, in “Connaissance Scientifique et Philosophie”, Academie Royale de Belgique (Proc. 1973 Colloquium, commemorating 200th Ann. of Royal Acad, of Belgium), Bruxelles (1975), 39–100.
Y. Ne’eman, Insight and foresight in physics: from Plato and Aristotle to Einstein and the standard model, in “Nuclear Matter, Hot and Cold (Proc. School of Physics and Astronomy, Tel Aviv University, April 1999) (D. Ashery, J. Allster, eds.), to appear.
W. Yourgrau, S. Mandelstam, Variational Principles in Dynamics and Quantum Theory, Dover pub., New York, 1968, 201pp.
H.A. Kastrup, in “Symmetries in Physics (1600–1980)” (M.G. Doncel, et al., eds.), University of Barcelona Pub., Barcelona (1987), 113–164.
Y. Ne’eman, The impact of Emmy No ether’s theorems on XXIst Century physics, in “Israel Mathematics Conf. Proc. 12 (1999), 83–101.
Y. Ne’eman, De l’autogeometrisation de la physique, in “Les Relations entre les Mathematiques et la Physique Theorique”, Festschrift for the 40th Anniversary of the IHES (1998), 145–152.
Y. Ne’eman, Inflation, the top and all that (3 lectures at Erice, NATO Advanced Study Institute, May 1994), in “Currents in High Energy Astrophysics”, (1995), 255–280.
Y. Ne’eman, The Eternal Inflationary Universe (in Hebrew), Weizmann Institute, Youth Activities Publications, 1995, 63pp.
Y. Ne’eman, Y. Kirsch, The Particle Hunters, 2nd edition, Cambridge University Press, 1997, 272pp. See Chap. 11.
Y. Ne’eman, Plato and the self-geometrization of physics in the twentieth century, Functional Differential Equations 5:3–4 (1998), 19–34.
E.E. Helm, Sc. Am. 217 (Dec. 1967), 92–103.
E. Schroedinger, Ann. d. Physik 79 (1926), 361; W. Pauli, Zeit. Physik 36 (1926), 336.
M.G. Mayer, Phys. Rev. 75 (1949), 1969; O. Haxel, J.H.D. Jensen, H.E. Suess, Phys. Rev. 75 (1949), 1766.
J.P. Elliott, Proc. Roy. Soc. London A245 (1958), 128.
Y. Dothan, M. Gell-Mann, Y. Ne’eman, Phys. Lett. 17 (1965), 148–151; Y. Ne’eman, Dj. Šijački, Phys. Lett. 157B (1985), 267–274.
A. Arima, F. Iachello, Ann. Rev. Nucl. Sc. 31 (1981), 75.
Y. Ne’eman, Nucl. Phys. 26 (1961), 222; M. Gell-Mann, Caltech preprint CTSL-20 (1961), unpub.
G.E. Baird, L.C. Biedenharn, Proc. 1st (1964) Coral Gables Conf. on Symmetry Principles at High Energy (B. Kursunuglu, et al., eds.), W.H. Freeman Pub., 58.
H. Goldberg, Y. Ne’eman, Nuovo Cim. 27 (1953), 1; M. Gell-Mann, Phys. Lett. 8 (1964), 214; G. Zweig, CERN rep. TH 401, unpub.
S. Weinberg, Phys. Rev. Lett. 31 (1973), 494; H. Fritzsch, M. Gell-Mann, in “Proc. XVIth ICHEP” 2 (Chicago, 1972) 135.
A. Einstein, Ann. d. Physik 17 (1905), 891.
H. Minkowski, Lecture at 80th Assembly of German researchers in Natural Science and physicians, Cologne (1908).
A. Einstein, Ann. d. Physik 18 (1905), 639; and 23 (1907), 371.
A. Einstein, Jahrbuch d. Radioactivitaet und Electronik 4 (1907), 411.
A. Einstein, M. Grossmann, Zeit. f. Math. u. Physik 62 (1913), 225.
A. Einstein, Ann. d. Physik 49 (1916), 769.
L. Corry, J. Renn, J. Stachel, Science 278 (1997), 1270.
H. Weyl, Zeit. F. Physik 56 (1929).
C.N. Yang, R.L. Mills, Phys. Rev. 96 (1954), 191.
S. Weinberg, Phys. Rev. D11 (1975), 3583.
Y.A. Golfand, E.P. Likhtman, JETP Letters 13 (1971), 323; J. Wess, B. Zumino, Nucl. Phys. B70 (1974), 39.
Th. Kaluza, Sitz. Preu. Akad. Wiss. (1921), 966; O. Klein, Nature 118 (1926), 516.
E. Cremmer, B. Julia, Phys. Lett. B80 (1978), 48; and Nucl. Phys. B159 (1979), 141.
P.G.O. Freund, M.A. Rubin, Phys. Lett. B97 (1980), 233.
J.H. Schwarz, ed., Superstring Theory (2 vols.) World Scientific Pub., Singapore (1985), 1145pp.; M.B. Green, J.H. Schwarz, E. Witten, Superstring Theory (2 vols.), Cambridge U. P. (1987), 920pp.
P.K. Townsend, Phys. Lett. B350 (1995), 184.
Y. Ne’eman, Quantizing gravity and spacetime: Where do we stand?, in Annal der Physik 7 (1998), 1–15.
Y. Ne’eman, E. Eizenberg, Membranes and Other Extendons (‘p-branes’), World Scientific, Singapore, 1995, 178pp.
F. Gürsey, L. Radicati, Phys. Rev. Lett. 13 (1964), 175; see also F. Dyson, Symmetry Groups in Nuclear and Particle Physics, W.A. Benjamin pub., New York, 1966, 320pp.
Y. Ne’eman, Phys. Rev. B134 (1964), 1355; and The original fifth interaction, in “Elementary Particles and the Universe, Essays in honor of Murray Gell-Mann” (Proc. Aniv. Conf., Pasdena, Jan. 1989) (J.H. Schwartz, ed.), 47–59.
N. Seiberg, E. Witten, Nucl. Phys. B426 (1994), 19; idem B431 (1994), 484.
A.M. Polyakov, Phys. Lett. B59 (1975), 82; G.’ t Hooft, Phys. Rev. Lett. 37 (1976), 8.
J. Thierry-Mieg, J. Math. Phys. 21 (1980), 2834.
S. Donaldson, J. Diff. Geom. 18 (1983), 279; M. Friedman, J. Diff. Geom. 17 (1982), 357.
R.F. Gompf, J. Diff. Geom. 18 (1983), 317.
N. Cabibbo, Phys. Rev. Lett. 10 (1963), 531; M. Kobayashi, K. Maskawa, Prog. Theor. Phys. 49 (1972), 282.
S. Weinberg, Phys. Rev. Lett. 19 (1967), 1264; A. Salam, in “Elementary Particle Theory” (N. Svartholm, ed.), Almquist Vorlag AB, Stockholm (1968).
S.L. Glashow, Nucl. Phys. 22 (1961), 579.
P. Higgs, Phys. Lett. 12 (1964), 132; F. Englert, R. Brout, Phys. Rev. Lett. 13 (1964), 2386.
G.’ t Hooft, Nucl. Phys. B79 (1974), 276; A.M. Polyakov, JETP Lett. 20 (1974), 430.
D. Quillen, Topology 24 (1985), 89.
A. Connes, Noncommutative Geometry, Academic Press, NY, 1994, 661pp.
A. Connes, J. Lott, Nucl. Phys. B18, Proc. Suppl. (1990), 29.
Y. Ne’eman, Phys. Lett. 8IB (1979), 190.
D. Fairlie, Phys. Lett. B82 (1979), 97.
S. Sternberg, Y. Ne’eman, Superconnections and internal supersymmetry dynamics, Proc. Nat. Acad. Sci. USA 87 (1990), 7875–7877.
R. Coquereaux, R. Häussling, N.A. Papadopoulos, F. Scheck, Int. J. Mod. Phys. A7 (1992), 2809; R. Coquereaux, G. Esposito-Farése, F. Scheck, Int. J. Mod. Phys. A7 (1992), 6555.
Y. Ne’eman, Phys. Lett. B247 (1998), 19–25.
D.Z. Freedman, P.v. Nieuwenhuizen, S. Ferrara, Phys. Rev. D13 (1976), 3214; S. Deser, B. Zumino, Phys. Lett. B62 (1976), 335.
P.A. Collins, P.W. Tucker, Nucl. Phys. B112 (1975), 150.
Y. Ne’eman, D. Šijački, Phys. Lett. 4 (1986), 165–170; Y. Ne’eman, D. Šijački, B174 (1986), 171–175.
Plato, Timmeos 32, 35, 36.
E. Cremmer, B. Julia, Nucl. Phys. B159 (1979), 141.
A. Ashtekar, Phys. Rev. Lett. 57 (1986), 2244.
P.A.M. Dirac, Can. J. Math. 2 (1950), 129; Proc. Royal Soc. A246 (1958), 326, 333.
J. Baez, ED., Knots and Quantum Gravity, Oxford Science pub., Clarendon Press, Oxford, 1994.
Y. Ne’eman, Phys. Lett. A186 (1994), 5.
H.D. Zeh, Found. Phys. 1 (1970), 69.
J. Bekenstein, Lett. Nuov. Cimento 4 (1972), 737.
A. Strominger, C. Vafa, Phys. Lett. B379 (1996), 99.
J. Maldacena, The large N limit of superconformal field theories and supergravity (hep-th 97/11200); Wilson loops in large-N field theories (hep-th 98/03002).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Birkhäuser, Springer Basel AG
About this chapter
Cite this chapter
Ne’eman, Y. (2010). Pythagorean and Platonic Conceptions in XXth Century Physics. In: Alon, N., Bourgain, J., Connes, A., Gromov, M., Milman, V. (eds) Visions in Mathematics. Modern Birkhäuser Classics. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0422-2_14
Download citation
DOI: https://doi.org/10.1007/978-3-0346-0422-2_14
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0346-0421-5
Online ISBN: 978-3-0346-0422-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)