Abstract
It is argued that quantum mechanics follows naturally from the assumptions that there are no fundamental causal laws but only probabilities for physical processes that are constrained by symmetries, and reality is relational in the sense that an object is real only in relation to another object that it is interacting with. The first assumption makes it natural to include in the action for a gauge theory all terms that are allowed by the symmetries, enabling cancellation of infinities, with only the terms in the standard model observable at the energies at which we presently do our experiments. In this approach, it is also natural to have an infinite number of fundamental interactions.
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References
J. Anandan, Foundations of Phys. 29 No. 11 (1999) 1647 [quant-ph/9808045].
J. Anandan, Foundations of Phys. Lett., 15 No. 5 (2002) 415 [physics/0112020].
H. Everett, Rev. Mod. Phys. 29 (1957) 454.
D. Bohm, Phys. Rev. 85 (1952) 166.
P. Pearle, in Quantum Concepts in Space and Time, eds. R. Penrose and C.J. Isham, Clarendon Press, 1986, pp. 84–108; P. Pearle, Phys. Rev. A 39 (1989) 2277.
C. Rovelli, Int. J. of Theor. Phys. 35 (1996) 1637 [quant-ph/9609002].
N.D. Mermin, Pramana 51 (1998) 549 [quant-ph/9609013]; Amer. J. of Phys. 66 (1998) 753 [quant-ph/9801057].
Symmetries and Reflections, Scientific Essays of Eugene P. Wigner, The M.I.T. Press, Cambridge, MA. 1970.
E. Inönü and E. Wigner, Nuov. Cim. IX (1952) 705.
J.M. Jauch, Foundations of Quantum Mechanics, Addison-Wesley, Reading, MA, 1968.
Y. Aharonov and L. Susskind, Phys. Rev. 158 (1967) 1237.
J. Anandan, Int. J. of Theor. Phys. 41 No. 2 (2002) 199 [quant-ph/0012011].
J. Anandan, Conf. on Differential Geometric Methods in Theoretical Physics, Trieste, July 1981, eds. G. Denardo and H.D. Doebner, World Scientific, 1983, pp. 211–215; J. Anandan, Phys. Rev. D 33 No. 8 (1986) 2280.
J. Anandan, J. of Math. Phys. 19 (1978) 260; J. Anandan and R. Roskies, J. of Math. Phys. 19 (1978) 2614.
J. Anandan, Phys. Rev. D 53 No. 2 (1996) 779.
C.N. Yang, Phys. Rev. Lett. 33 (1974) 445.
S. Weinberg, The Quantum Theory of Fields I, Cambridge University Press, Cambridge, 1995, pp. 144, 145, 198.
J. Anandan, Phys. Rev. D 33 No. 8 (1986) 2280.
E.P. Wigner, in The Scientist Speculates, ed. I.J. Good, W. Heinemann, Ltd., London, 1961, reproduced in [8], Ch. 13.
It is emphasized that in the present interpretation of quantum mechanics, ‘consciousness’ plays no special role in collapsing the wave function. Or the argument may be turned around, and it may be claimed that even a microscopic system being in a mixed state in relation to its interaction with another system may constitute a primitive form of ‘consciousness’.
J.C. Pati and A. Salam, Phys. Rev. 8 (1973) 1240; Phys. Rev. Lett. 31 (1973) 661; Phys. Rev. D 10 (1974) 275. For a recent review, see J.C. Pati, hep-ph/0204240.
H. Georgi and S.L. Glashow, Phys. Rev. Lett. 32 (1974) 438.
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This paper is based on the invited talk given by the author at the Wigner Centennial Conference, Pécs, Hungary, 8–12 July, 2002.
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Anandan, J. Laws, symmetries and reality. Acta Phys. Hung. A 19, 389–401 (2004). https://doi.org/10.1556/APH.19.2004.3-4.42
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DOI: https://doi.org/10.1556/APH.19.2004.3-4.42