The Stable Wave Packet and Uncertainty
Antony J. Bourdillon
UHRL, San Jose, USA.
DOI: 10.4236/jmp.2015.614407   PDF    HTML     3,435 Downloads   4,456 Views   Citations

Abstract

The traveling wave group that is defined on conserved physical values is the vehicle of transmission for a unidirectional photon or free particle having a wide wave front. As a stable wave packet, it expresses internal periodicity combined with group localization. An uncertainty principle is precisely derived that differs from Heisenberg’s. Also derived is the phase velocity beyond the horizon set by the speed of light. In this space occurs the reduction of the wave packet which is represented by comparing phase velocities in the direction of propagation with the transverse plane. The new description of the wave function for the stable free particle or antiparticle contains variables that were previously ignored. Deterministic physics must always appear probabilistic when hidden variables are bypassed. Secondary hidden variables always occur in measurement. The wave group turns out to be both uncertain and probabilistic. It is ubiquitous in physics and has many consequences.

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Bourdillon, A. (2015) The Stable Wave Packet and Uncertainty. Journal of Modern Physics, 6, 2011-2020. doi: 10.4236/jmp.2015.614407.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Popper, K.R. (1982) Quantum Theory and the Schism in Physics. Hutchison, 18.
[2] Dirac, P.A.M. (1958) The Principles of Quantum Mechanics. 4th Edition, OUP, Oxford, 121.
http://dx.doi.org/10.1063/1.3062610
[3] Popper, K.R. (1982) Quantum Theory and the Schism in Physics. Hutchison, 22.
[4] Popper, K.R. (1982) Quantum Theory and the Schism in Physics. Hutchison, 10.
[5] Gell-Mann, M. (1979) In: Huff, D. and Prewett, O., Eds., The Nature of the Physical World, 1976 Nobel Conference, New York, 29.
[6] Bohm, D. and Bubb, J. (1966) Reviews of Modern Physics, 38, 453-475.
http://dx.doi.org/10.1103/RevModPhys.38.453
[7] Popper, K.R. (1959) The Logic of Scientific Discovery. Hutchinson.
[8] Einstein, A., Podolski, B. and Rosen, N. (1935) Physical Review, 47, 777-780.
http://dx.doi.org/10.1103/PhysRev.47.777
[9] Popper, K.R. (1982) Quantum Theory and the Schism in Physics. Hutchison, 15-22.
[10] Aspect, A. (2007) Nature, 446, 866-867.
http://dx.doi.org/10.1038/446866a
[11] Aspect, A., Grangier, P. and Roger, G. (1982) Physical Review Letters, 49, 91-94.
http://dx.doi.org/10.1103/PhysRevLett.49.91
[12] Aspect, A., Dalibard, J. and Roger, G. (1982) Physical Review Letters, 49, 1804-1807.
http://dx.doi.org/10.1103/PhysRevLett.49.1804
[13] Longdell, J. (2011) Nature, 469, 475-476.
http://dx.doi.org/10.1038/469475a
[14] Clausen, C., Usmani, I., Bussieres, F., Sangouard, N., Afzelius, M., de Riedmatten, H. and Gisin, N. (2011) Nature, 469, 508-511.
http://dx.doi.org/10.1038/nature09662
[15] Saglamurek, E., Sinclair, N., Jin, J., Slater, J.A., Oblak, D., Bussieres, F., George, M., Ricken, R., Sohler, W. and Tittle, W. (2011) Nature, 469, 512-515.
http://dx.doi.org/10.1038/nature09719
[16] Faipour, A., Xing, X. and Steinberg, A. (2011) Physical Review Letters, 107, Article ID: 133603.
[17] Von Neumann, J. (1932) Die Mathematischen Grundlagen der Quantenmechqanik.
[18] Bourdillon, A.J. (2015) Journal of Modern Physics, 6, 463-471.
http://dx.doi.org/10.4236/jmp.2015.64050
[19] Jenkins, F.A. and White, H.E. (1981) Fundamentals of Optics. International Edition, McGraww-Hill, New York, 390.
[20] Dirac, P.A.M. (1958) The Principles of Quantum Mechanics. 4th Edition, Oxford University Press, Oxford, 261.
http://dx.doi.org/10.1063/1.3062610
[21] Feynman, R.P. (1949) Physical Review, 76, 749-769.
http://dx.doi.org/10.1103/PhysRev.76.749
[22] Stueckelberg, E.C.G. (1941) Helvetica Physica Acta, 14, 588-594.
[23] Littlefield, T.A. and Thorley, N. (1963) Atomic and Nuclear Physics and Introduction. Van Nostrand, 234.
[24] Bourdillon, A.J. and Vladimirsky, Y. (2006) X-Ray Lithography on the Sweet Spot.
[25] Bourdillon, A.J., Boothroyd, C.B., Kong, J.R. and Vladimirsky, Y. (2000) Journal of Physics D: Applied Physics, 33, 1-9.
http://dx.doi.org/10.1088/0022-3727/33/17/307
[26] Jenkins, F.A. and White, H.E. (1981) Fundamentals of Optics. International Edition, McGraww-Hill, New York, 399.
[27] Bourdillon, A.J. and Boothroyd, C.B. (2005) Journal of Physics D: Applied Physics, 38, 2947-2951.
http://dx.doi.org/10.1088/0022-3727/38/16/031
[28] Bell, J.S. (1966) Reviews of Modern Physics, 38, 447-452.
http://dx.doi.org/10.1103/RevModPhys.38.447
[29] Bourdillon, A.J. Uncertainty and the Stable Wave Packet.
www.Youtube.com/watch?v=A12c9uf75Hk

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