Abstract
Cats seem to play an important role in physics. The theory of general relativity predicts the existence of collapsed systems which have lost all of their former properties with the exception of mass, charge and angular momentum. These black holes are just a shadow of the former star. Black holes can easily be compared with the cheshire-cat of Alice’s adventures in wonderland whose grin hung in the tree even long after the cat had disappeared.
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Notes
Lewis Carrol, Alice’s Adventures in Wonderland, New York 1960.
J. Barrow; F. Tipier, The Anthropic Cosrnological Principle, Cambridge 1986, p. 458.
A. Einstein, “Quantentheorie des einatomigen idealen Gases,” 2. Abh. Sitzber. Preuß. Akad. Wiss. Berlin 1925, pp. 3–14.
cf. his letter to H. Lorentz from Dec.l6, 1924.
K. Przibram (ed.), Briefe zur Wellenmechanik, Vienna 1963, p. 24.
E. Schrödinger, “Zur Einsteinschen Gastheorie,” Physikalische Zeitschrift 27 (1926), pp. 95–101.
M. Jammer, The Philosophy of QuantumMechanics, New York 1974, p. 23.
R. Penrose, “Gravity and State Vector Reduetion,” in: R. Penrose; C. J. Isham (eds.), Quantum Concepts in Space and Time, Oxford 1986, p. 129.
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E. Schrödinger, “Über das Verhältnis der Heisenberg-Born-Jordanschen Quantenmechanik zu der meinen,” Ann. Phys. 9 (1926), pp. 734–756.
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E. Scehrödinger, “Energieaustausch nach der Wellenmechanik,” Ann. Phys. 83 (1927), pp. 956–968.
E. Scehrödinger, “Might perhaps energy be a merely statistieal concept?” Nuovo Cimento 9 (1958), pp. 162–170.
E. Scehrödinger, “Der stetige Übergang von der Mikro-zur Makromeehanik,” Die Naturwissenschaften 14 (1926) pp. 664–666.
Cf. the letter from Lorentz to Schrödinger from June 19, 1926, in: K. Przibram, Briefe zur Wellenmechanik, loc. cit. p. 61.
M. Jammer, The Philosophy of Quantum Mechanics, New York 1974, p. 33.
Only later did it become quite clear how complex phases relate to phenomena of interference.
M. Born, “Zur Quantenmechanik der Stoßvorgänge,” Zeitschr.f. Physik 37 (1926), pp. 863–867.
M. Born, “Zur Quantenmechanik der Stoßvorgänge,” Zeitschr.f. Physik 38 (1926), pp. 803–827.
M. Born, “Das Adiabaten-Prinzip in der Quantenmechanik”, Zeitschr. f. Physik 40 (1926), pp. 167–192.
E. Schrödinger, Briefe zur Wellenmechanik, ed. Karl Przibram, Vienna 1963, p. 17.
For a more profound analysis of Born’s interpretation ef.A. Bartels; M. Stöckler, „Die Bedeutung von Wahrseheinliehkeitsaussagen und die Interpretation der Quantenmechanik,“ in: W. Kuhn (ed.), Vorträge der Deutschen Physikalischen Gesellschaft Frühjahrstagung, Berlin 1987, DPG FA Didaktik der Physik.
cf. F. Selleri, Die Debatte um die Quantentheorie, Braunschweig 1983, p. 77.
F. Selleri, Die Debatte um die Quantentheorie, loc.cit, p. 115. K. Przibram (ed.), Briefe zur Wellenmechanik, loce. cit., p. 18.
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E. Schrödinger, „Der erkenntnistheoretische Wert physikalischer Modellvorstellungen,“ Jahresbericht des Physik.vereins zu Frankfurt 1928/1929, pp. 44–51.
The reason for this was that QM did not agree with Einstein’s „themata“ of theory construction (cf. B. Kanitscheider, Das Weltbild Albert Einsteins. Seine Physik und seine Philosophie, Munich 1988.)
Cf. A. Einstein, „Bietet die Feldtheorie Möglichkeiten für die Lösung des Quantenproblems?,“ Sitz. Ber. der Preuß. Akad. Wiss. Phys.-math. Klasse, pp. 359–364.
H. Primas, Chemistry, Quantum Mechanics and Reductionism, Berlin 1981, p. 143.
E. Schrödinger, „Discussions of Probability Relations between Separated Systems,“ Proceedings of the Cambridge Philosophical Society 31 (1935), pp. 555–563.
F. London and E. Bauer, La Theorie de l’Observation en Mecanique Quantique, Paris 1939.
Within ordinary quantum mechanics the superposition principle is applied without restrictions; restrictions are only possibly by way of superselection rules, in this case some operators cannot be regarded as quantum mechanical observables.
E. Schrödinger, „Spezielle Relativitätstheorie und Quantenmechanik,“ Berliner Berichte 1931, pp. 238–248.
H. Putnam, „A Philosopher looks at Quantum Mechanies“, in: R. G. Colodny (ed.), Beyond the Edge of Certainty, Prentice Hall Englewood Cliffs, N. J. 1965, pp. 75–101.
J. A. Wheeler, „Law withoutLaw“, in: J. A. Wheeler, W. H. Zurek (eds.), Quantum Theory and Measurement, Princeton 1983, p. 182.
E. P. Wigner, „Remarks on the Mind-Body Question,“ in: Symmetries and Reflections, Bloomington & London 1967, pp. 171–184.
A. Shimony, „Tbe Role ofthe Observer in Quantum Tbeory“, A. Journ. Phys. 31 (1963) pp. 755–773.
J. Barrow, F. Tipier, The Anthropic Cosmological Principle, Oxford 1986, p. 471.
H. Putnam, „Quantum Mechanies and the Observer,“ Erkenntnis 16 (1981), pp. 194–218.
H. Putnam, „Quantum Mechanies and the Observer,“ loc. cit., p. 218.
N. Bohr, „Kausalität und Komplementarität,“ Erkenntnis 6 (1906), pp. 293–303.
Cf.„Schrödinger’s Use of Realism“ in: W. Heisenberg, M. Born, E. Schrödinger, P. Auger, On Modern Physics, Opotter N.Y. 1959, p. 38.
R. Penrose, Gravity and State Vector Reduction, loc. cit., p. 141.
F. Karolyhazy, A. Frenkel and B. Lukacs, „On the Possible Role of Gravity in the Reduction of the Wave Function,“ in: P. Penrose and I. Isham (eds.), Quantum Concepts in Space and Time, Oxford 1986, pp. 109–122.
E. Schrödinger, „Die gegenwärtige Situation in der Quantenmechanik,“ Die Naturwissenschaften 23 (1935), pp. 807–849, par. 7.
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Kanitscheider, B. (1992). Schrödinger’s Cat and the Interpretation of Quantum Mechanics. In: Götschl, J. (eds) Erwin Schrödinger’s World View. Theory and Decision Library, vol 16. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2428-7_6
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