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A Wave Group for Entanglement, Linking Uncertainties in Time and Space
UHRL, San Jose, USA
- 1 UHRL, San Jose, USA
Journal of Modern Physics·Volume 03 (2012)·Pages 290–296·Published 28 March 2012·DOI10.4236/jmp.2012.33041
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Abstract
A carrier wave in a 5-dimensional wave group is examined for information on electromagnetic waves and on particle probability amplitudes. Simulations by Maxwell’s equations show that the phase and group velocities in electromagnetic waves are equal, both in vacuo and in dielectric media. By contrast, particle probability amplitudes in wave packet motion are more complicated. A dependence of rest mass on relative phase and group velocities is derived by consistency. Occurrences that are simultaneous and connected on wave fronts in the rest frame, appear separated when observed in moving frames. Uncertainties in space and time are linked by the probability amplitude wave group.
KeywordsEntanglementPhase VelocityWave GroupElectromagnetic WavesProbability AmplitudesUncertainty Principle
- A. Einstein, B. Podolski and N. Rosen, “Can Quantum Mechanical Description of Physical Reality Be Consid- ered Complete?” Physical Reviews, Vol. 47, No. 10, 1935, pp. 777-780. doi:10.1103/PhysRev.47.777
- J. S. Bell, “On the Problem of Hidden Variables in Quan- tum Mechanics,” Reviews of Modern Physics, Vol. 38, No. 3, 1966, pp. 447-452. doi:10.1103/RevModPhys.38.447
- D. Bohm and J. Bub, “A Proposed Solution of the Meas- urement Problem in Quantum Mechanics by a Hidden Variable Theory,” Reviews of Modern Physics, Vol. 38, No. 3, 1966, pp. 453-475. doi:10.1103/RevModPhys.38.453
- J. Longdell, “Quantum Information: Entanglement on Ice,” Nature, Vol. 469, No. 7331, 2011, pp. 475-476. doi:10.1038/469475a
- C. Clausen, I. Usmani, F. Bussieres, N. Sangouard, M. Afzelius, H. de Riedmatten and N. Gisin, “Quantum Stor- age of Photonic Entanglement in a Crystal,” Nature, Vol. 469, No. 7331, 2011, pp. 508-511. doi:10.1038/nature09662
- E. Saglamurek, N. Sinclair, J. Jin, J. A. Slater, D. Oblak, F. Bussieres, M. George, R. Ricken, W. Sohler and W. Tittle, “Broadband Waveguide Quantum Memory for Entangled Photons,” Nature, Vol. 469, No. 7331, 2011, pp. 512-515. doi:10.1038/nature09719
- A. Faipour, X. Xing and A. Steinberg, “Weak Measure- ment Amplification of Single Photon Nonlinearity,” Phy- sical Review Letters, Vol. 107, No. 13, 2011, p. 133603.
- I. A. Arbab, “A New Wave Equation of the Electron,” Journal of Modern Physics, Vol. 2, No. 9, 2011, pp. 1012-1016.
- A. J. Bourdillon, “Use of the Track Structure Approach in TEM, Ultramicroscopy, Vol. 83, No. 3-4, 2000, pp. 261- 264.
- R. Audi, et al. (Ed.), “The Cambridge Dictionary of Philosophy,” Cambridge, 1999.
- M. Born, H. Born and A. Einstein, “The Born-Einstein Letters,” Macmillan, London, 1971.
- A. Einstein, “A Stubbornly Persistent Illusion, the Essen- tial Scientific Works of Albert Einstein,” S. Hawking (Ed.), Running Press, New York, 2007.
- A. Pais, “Subtle Is the Lord, the Science and the Life of Albert Einstein,” Oxford University Press, Oxford, 1982.
- N. Bohr, “Philosophical Writings of Niels Bohr,” Ox Bow Press, Woodbridge, 1987.
- P. A. M.Dirac, “The Principles of Quantum Mechanics,” 4th Edition, Clarendon Press, Oxford, 1958, p.255.