Matvei Bronstein and quantum gravity: 70th anniversary of the unsolved problem

Physics-Uspekhi

Volumn 48, Issue 10, 2005, Pages 1039-1053

  Gorelik, G E ^a,b  

^a BOSTON UNIVERSITY   (United States)

^b NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRODYNAMICS; MEASUREMENTS; PROBLEM SOLVING;

BRONSTEIN'S ANALYSIS; QUANTUM GRAVITY PROBLEM;

QUANTUM THEORY;

EID: 32944470239     PISSN: 10637869     EISSN: None     Source Type: Journal    
DOI: 10.1070/PU2005v048n10ABEH005820     Document Type: Review

References (97)

1. Bronstein M "Quantentheorie schwacher Gravitationsfelder" Phys. Z. Sowjetunion 9 140-157 (1936)
2. [Translated into Russian: in Einsteinovskii Sbornik, 1980-1981 (Ed. I Yu Kobzarev, Compiler G E Gorelik) (Moscow: Nauka, 1985) p. 267-282]
3. Bronstein M P "Kvantovanie gravitatsionnykh voln" ("Quantization of gravitational waves") Zh. Eksp. Tear. Fiz. 6 195-236 (1936)
4. Kuranskii E S (Ed.) Albert Einstein i Teoriya Gravitatsii. Sbornik Statei (Albert Einstein and the Theory of Gravity. Collected Papers) (Moscow: Mir, 1979)
5. Gorelik G "First steps of quantum gravity and the Planck values", in Studies in the History of General Relativity (Einstein Studies, Vol. 3, Eds J Eisenstaedt, A J Kox) (Boston: Birkhäuser, 1992) p. 364-379;
6. Gorelik G E, Frenkel V Ya Matvei Petrovich Bronstein and Soviet Theoretical Physics in the Thirties (Boston: Birkhäuser, 1994)
7. (a) Planck M "Über irreversible Strahlungsvorgänge" Ann. Phys. (Leipzig) 4 (1) 122 (1900);
8. (b) Max Planck: Wissenschaftliche Selbstbiographie (Leipzig: J.A. Barth, 1970)
9. [Translated into Russian: Izbrannye Trudy (Moscow: Nauka, 1975)]
10. Bridgman P W Dimensional Analysis (New Haven, Conn.: Yale Univ. Press, 1922) p. 101 Translated into Russian (Moscow-Izhevsk: RKhD, 2001) p. 114]
11. Einstein A "Naherungsweise Integration der Feldgleichungen der Gravitation" Sitzungsber. Königlich Preuβ. Akad. Wiss. (Berlin) 688 (1916)
12. [Translated into English "Approximative integration of the field equations of gravitation" (22 June 1916), in The Collected Papers of Albert Einstein Vol. 6 The Berlin Years: Writings, 1914-1917 (Princeton, NJ: Princeton Univ. Press, 1997) p. 201]
13. Einstein A "Über Gravitationswellen" Sitzungsber. Königlich Preuβ. Akad. Wiss. (Berlin) 154 (1918)
14. [Translated into English "On gravitational waves" (31 January 1918), in The Collected Papers of Albert Einstein Vol. 7 The Berlin Years: Writings, 1918-1921 (Princeton, NJ: Princeton Univ. Press, 2002) p. 9;
15. translated into Russian: in Sobranie Nauchnykh Trudov Vol. I (Moscow: Nauka, 1965) p. 522, 642]
16. Heisenberg W, Pauli W "Zur Quantendynamik der Wellenfelder" Z. Phys. 561-61 (1929)
17. [Translated into Russian: in Pauli W Trudy po Kvantovoi Teorii (Moscow: Nauka, 1977) p. 32]
18. Rosenfeld L "Über die Gravitationswirkungen des Lichtes" Z. Phys. 65 589-599 (1930)
19. [Translated into Russian: in Einsteinovskii Sbornik, 1980-1981 (Ed. I Yu Kobzarev) (Moscow: Nauka, 1985) p. 255-266]
20. Gorelik G E, Frenkel' V Ya "M P Bronstein i kvantovaya teoriya gravitatsii" (M P Bronshtein and the Quantum Theory of Gravitation.), in Einshteinovskii Sbornik 1980 -1981 (Ed. I Yu Kobzarev) (Moscow: Nauka, 1985) p. 322
21. Bronstein M P "On the theory of electronic semiconductors" Phys. Z. Sowjetunion 2 28 (1932);
22. "Fizicheskie svoistva elektronnykh poluprovodnikov" Zh. Tekh. Fiz. 2 919-952 (1932);
23. Bronstein M P "On the conductivity of semiconductors in magnetic field" Phys. Z. Sowjetunion 3 140 (1933)
24. Ioffe A F Elektronnye Poluprovodniki (Electronic Semiconductors) (Leningrad-Moscow: ONTI, 1933)
25. Gorelik G E, Frenkel' V Ya "M.P. Bronstein i ego roi' v stanovlenii kvantovoi teorii gravitatsii" (M P Bronstein and his role in the development of quantum theory of gravity), in Einshteinovskii Sbornik, 1980-1981 (Ed. I Yu Kobzarev) (Moscow: Nauka, 1985) pp. 317-320
26. Shpinel' V S, Letter to G. Gorelik, 17 March 1998
27. Bronstein M P "Ob odnom sledstvii gipotezy svetovykh kvantov" (About one corollary of the hypothesis of light quanta) Zh. Russ. Fiz.-Khim. Obshch. 57 321-325 (1925);
28. "Zur Theorie des kontinuierlischen Rontgenspektrums" Z. Phys. 32 881-885 (1925)
29. Gorelik G E, Frenkel' V Ya Matvei Petrovich Bronstein: 1906-1938 (Moscow: Nauka, 1990)
30. Bronstein M "Zum Strahlungsgleichgewichtsproblem von Milne" Z. Phys. 58 696-699 (1929);
31. "Über das Verhältnis des effektiven Temperatur der Sterne zur Temperatur ihrer Oberfläche" Z. Phys. 59 144-148 (1929)
32. Bronstein M P "Note on the temperature distribution in the deeplayers of stellar atmospheres" Mon. Not. R. Astron. Soc. 91 133 (1930)
33. Bronstein M P "Convegno di Fisica Nucleare" SORENA (1) 176-177 (1933);
34. "Konferentsiya po tverdym nemetallitcheskim telam" (Conference on solid non-metallic bodies) Priroda (1) 73-74 (1933);
35. "Vsesoyuznaya yadernaya konferentsiya" ("All-Union nuclear conference") Usp. Fiz. Nauk 13 768 (1933);
36. SORENA (9) 155-165 (1933)
37. Bronstein M P "O konferentsii po teoreticheskoy fizike" (About conference on theoretical physics) Usp. Fiz. Nauk 14 (4) 516 (1934)
38. Gershtein S S "Na zare yadernoi fiziki" (At the dawn of nuclear physics) Priroda (8) 62 (2004)
39. Feinberg E L Epokha i Lichnost'. Fiziki. Ocherki i Vospominaniya (Epoch and Personality. Sketches and Reminiscences) (Moscow: Fizmatlit, 2003)p. 80-81
40. Gorelik G E "Neelementarnyi vopros fiziki elementarnykh chastits" (Non-elementary problem of physics of elementary particles), http://ggorelik.narod.ru/Dau/Tamm_Ivanenko_1934_Priroda_2004.htm
41. Bronstein M P "K voprosu o vozmozhnoi teorii mira kak tselogo" ("On the question of a possible theory of the world as a whole"), in Uspekhi Astronomicheskikh Nauk. Sbornik, No. 3 (Moscow: ONTI, 1933) p. 3-30
42. Bronstein M P "Vnutrennee stroenie zvezd i istochniki zvezdnoi energii" (Inner structure of stars and sources of stellar energy), in Uspekhi Astronomicheskikh Nauk. Sbornik, No. 2 (Moscow: ONTI, 1933) p. 102
43. Landau L, Peierls R "Erweiterung des Unbestimmtheitsprinzips für die relativistische Quantentheorie" Z. Phys. 69 56-70 (1931)
44. [Translated into Russian: in Landau L D Sobranie Trudov Vol. 1 (Moscow: Nauka, 1969) p. 69]
45. Rosenfeld L "On quantum electrodynamics", in Niels Bohr and the Development of Physics (Ed. W Pauli) (London: Pergamon Press, 1955) p. 70
46. Dirac P A M The Principles of Quantum Mechanics (Oxford: Clarendon Press, 1930) [Translated into Russian (Moscow: Gostekhteorizdat, 1932)]
47. Bronstein M P "Dirac P. Printsipy kvantovoi mekhaniki (Oxford, 1930)" (Retsenziya) ("The Principles of Quantum Mechanics (Oxford, 1930)" Review) Usp. Fiz. Nauk 11 355-358 (1931)
48. Schweber S S Phys. Today 54 (11) 56 (2001); http://www.physicstoday.org/pt/vol-54/iss-11/p56.html
49. Bohr N, Rosenfeld L "Zur Frage der Messbarkeit der elektromagnetischen Feldgrössen" Kgl. Danske Vidensk. Selskab., Math.-Fys. Medd. 12 (8) 3-65 (1933)
50. [Translated into English "On the question of the measurability of electromagnetic field quantities", in Quantum Theory and Measurement (Eds J A Wheeler, W H Zurek) (Princeton, NJ: Princeton Univ. Press, 1983) pp. 470-522]
51. Bohr N Izbrannye Nauchnye Trudy (Selected Scientific Works) Vol. 2 (Moscow: Nauka, 1971) p. 121
52. Bronstein M P "K voprosu o relyativistskom obobshchenii printsipa neopredelennosti" ("On the question of relativistic generalization of indeterminacy principle") Dokl. Akad. Nauk SSSR 1 388-390 (1934)
53. Landau L D "K teorii zvezd (1932)" ("On the theory of stars) (1932)"), in Landau L D Sobranie Trudov Vol. 1 (Moscow: Nauka, 1969) p. 89
54. Bronstein M P "On the expanding universe" Phys. Z. Sowjetunion 3 73-82 (1933)
55. Bohr N Collected Works Vol. 9 Nuclear Physics, 1929-1952 (Amsterdam: North-Holland, 1986) p. 571
56. Bohr N "On the method of correspondence in the theory of electron (1934)", in Izbrannye Nauchnye Trudy Vol. 2 (Moscow: Nauka, 1971) p. 172
57. Medvedev B V (Ed.), Kozhevnikov A B (Compiler) Pol' Dirak i Fizika XX Veka (Paul Dirac and Physics of the XXth Century) (Moscow: Nauka, 1990) p. 167
58. Pauli W "Laws of Conservation in the Theory of Relativity and Atomic Physics (1937)", in Fizika: Problemy, Istoriya, Lyudi. Sb. Nautch. Tr. (Ed. V M Tuchkevich) (Leningrad: Nauka, 1986) p. 224, 228
59. Peierls R Bird of Passage: Recollections of a Physicist (Princeton, NJ: Princeton Univ. Press, 1985) p. 66
60. Bridgman P W Dimensional Analysis (New Haven, Conn.: Yale Univ. Press, 1922) [Translated into Russian (Leningrad - Moscow: ONTI, 1934)]
61. Kobzarev I Yu (Ed.), Gorelik G E (Compiler) Einshteinovskii Sbornik, 1980-1981 (Moscow: Nauka, 1985)
62. Born M "Tainstvennoe chislo 137" ("Secret Number 137") Usp. Fiz. Nauk 16 717 (1936)
63. Hawking S W, Ellis G F R The Large Scale Structure of Space-Time (Cambridge: Univ. Press, 1973) p. 365 [Translated into Russian (Moscow: Mir, 1977) p. 406]
64. Bronstein M P "O magnitnom rasseyanii neitronov" Zh. Eksp. Teor. Fiz. 7 357-362 (1937)
65. Bronstein M P "O vozmozhnosti spontannogo rasshchepleniya fotonov" ("On the possibility of spontaneous splitting of photons") Zh. Eksp. Tear. Fiz. 7 335-358 (1937);
66. Abridged Version: Phys. Z. Sowjetunion 10 686-688 (1936)
67. Zel'dovich Ya B, Novikov I D Stroenie i Evolyutsiya Vselennoi (Structure and Evolution of the Universe) (Moscow: Nauka, 1975) p. 124
68. Bronstein M P "Sovremennoe sostoyanie relyativistskoi kosmologii" ("Modern state of relativistic cosmology") Usp. Fiz. Nauk 11 124-184 (1931)
69. Halpern O "Scattering processes produced by electrons in negative energy states" Phys. Rev. 44 855-856 (1933);
70. Heitier W The Quantum Theory of Radiation (Oxford: The Clarendon Press, 1936) p. 193
71. Solomon J "Gravitation et quanta" J. Phys. Radium VII Ser. 9(11) 479-485 (1938);
72. Bustamante M C "Jacques Solomon (1908- 1942): profil d'un physicien théoricien dans la France des années trentes" ("Jacques Solomon (1908-1942): Profile of a theoretical physicist in France in the 1930s") Rev. d'Histoire Sci. 50 (1&2) 49-87 (1997)
73. Gorelik G E "V.A. Fock: filosofiya tyagoteniya i tyazhest' filosofii" ("V A Fock: philosophy of gravity and weight of philosophy") Priroda (10) 81(1993)
74. Blokhintsev D I, Gal'perin F M "Gipoteza neitrino i zakon sokhraneniya energii" ("Neutrino hypothesis and conservation of energy") Pod znamenem marksizma (6) 147-157 (1934)
75. Landau L D, Abrikosov A A, Khalatnikov IM "Asimptoticheskoe vyrazhenie dlya funktsii Grina v kvantovoi elektrodinamike" ("Asymptotic expression for the green's function of a photon in quantum electrodynamics") Dokl. Akad. Nauk SSSR95 1177-1180 (1954);
76. see also in: Landau L D Sobranie Trudov Vol. 2 (Moscow: Nauka, 1969) p. 206
77. Klein O "Aktuella problem kring fysikens sma och stora tal" Kosmos (Sweden) 32 33 (1954);
78. "Generalization of Einstein's theory of gravitation considered from the point of view of quantum field theory", in Fuenfzig Jahre Relativitótstheorie. Bern, 11-16 Juli 1955 (Helvetica Physica Acta, Suppl. 4, Eds A Mercier, M Kervaire) (Basel: Birkhäuser, 1956) pp. 58-68
79. Wheeler J A "Geons" Phys. Rev. 97 511-536 (1955)
80. Misner C W, Wheeler J A "Classical physics as geometry: gravitation, electromagnetism, unquantized charge, and mass as properties of curved empty space" Ann. Phys. (New York) 2 525-603 (1957)
81. Rosenfeld L "On quantization of fields" Nucl. Phys. 40 353-356 (1963)
82. Sakharov A D "Vakuumnye kvantovye fluktuatsii v iskrivlennom prostranstve i teoriya gravitatsii "("Vacuum quantum fluctuations in curved space and the theory of gravitation") Dokl. Akad. Nauk SSSR 177 70-71 (1967)
83. [Sov. Phys. Dokl. 12 1040-1041 (1968)];
84. Usp. Fiz. Nauk 161 (5) 64-66 (1991);
85. see also in Akademik A.D. Sakharov. Nauchnye Trudy (Eds B L Al'tshuler et al.) (Moscow: Tsentr-kom OTF FIAN, 1955) p. 155-162
86. Misner C W, Thorne K S, Wheeler J A Gravitation (San Francisco: W. H. Freeman, 1973) p. 426-428;
87. Wheeler J A "Beyond the End of Time", in The World of Physics: a Small Library of the Literature of Physics from Antiquity to the Present Vol. 3 The Evolutionary Cosmos and the Limits of Science (Ed. J H Weaver) (New York: Simon and Schuster, 1987) p. 675-694
88. Tamm I E "Teoreticheskaya fizika" ("Theoretical physics"), in Oktyabr' i Nauchnyi Progress Vol. 1 (Eds M V Keldysh et al.; Compiler V A Boyarskii, G D Komkov) (Moscow: Izd. APN, 1967) p. 170
89. Isham C J, Penrose R, Sciama D W (Eds) Quantum Gravity: an Oxford Symp. (Oxford: Clarendon Press, 1975) p. 605;
90. written versions of talks at a symposium held at the Rutherford Laboratory on Feb. 15-16, 1974
91. Gorelik G E "Pervye shagi kvantovoi gravitatsii i plankovskie velichiny" ("First steps of quantum qravity and planck values"), in Einshteinovskii Sbornik, 1978-1979 (Ed. U I Frankfurt) (Moscow: Nauka, 1983) p. 334-364
92. Stachel J "History of relativity", in Twentieth Century Physics (Eds L M Brown, A Pais, Sir B Pippard) Vol. 1 (Philadelphia, PA.: Institute of Physics Publ., 1995) p. 317-319
93. Kiefer C Quantum Gravity (New York: Oxford Univ. Press, 2004) ix, 308 p.;
94. Rovelli C Quantum Gravity (Cambridge: Cambridge Univ. Press, 2004) xxiii, 455 p.
95. Einstein A "Autobiographical notes", in Albert Einstein - Philosopher-Scientist (The Library of Living Philosophers, Vol. 7, Ed. P A Schilpp) (Evanston, 111.: Library of Living Philosophers, 1949)
96. [Translated into Russian: in Sobranie Nauchnykh Trudov Vol. 4 (Moscow: Nauka, 1967) p. 259-293]
97. Dyson F "The world on a string" New York Rev. Books 51 (8) (2004); http://www.nybooks.com/articles/17094