Matter Waves in a Static Gravitational Field

ABSTRACT

A new approach of the matter waves concept initiated by Louis de Broglie leads to a new model – the vacuum matter waves. By using the physics of time dilation, one can calculate a gravitational cutoff frequency, with respect to the spectrum of vacuum fluctuations, which is the upper bound of the frequency range of this new model. We described the properties of these new waves and outlined the connection between them and the dimensions at Planck length level. The calculation of velocity in circular orbits by using this new concept complies with the well-known equation. One of its consequences is that the structure of the physical vacuum is modified on the radial direction with the gravity source, but not modified on its tangential direction. This study places the space-time structure from sub-quantum level into a new light and makes the connection between this level and that of the planetary systems.

A new approach of the matter waves concept initiated by Louis de Broglie leads to a new model – the vacuum matter waves. By using the physics of time dilation, one can calculate a gravitational cutoff frequency, with respect to the spectrum of vacuum fluctuations, which is the upper bound of the frequency range of this new model. We described the properties of these new waves and outlined the connection between them and the dimensions at Planck length level. The calculation of velocity in circular orbits by using this new concept complies with the well-known equation. One of its consequences is that the structure of the physical vacuum is modified on the radial direction with the gravity source, but not modified on its tangential direction. This study places the space-time structure from sub-quantum level into a new light and makes the connection between this level and that of the planetary systems.

KEYWORDS

Matter Waves; Quantum Vacuum; De Broglie Waves; Special Relativity Theory; Inertia; Mach’s Principle

Matter Waves; Quantum Vacuum; De Broglie Waves; Special Relativity Theory; Inertia; Mach’s Principle

Cite this paper

N. Agavriloaei, "Matter Waves in a Static Gravitational Field,"*Journal of Modern Physics*, Vol. 3 No. 8, 2012, pp. 750-754. doi: 10.4236/jmp.2012.38098.

N. Agavriloaei, "Matter Waves in a Static Gravitational Field,"

References

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[1] L. De Broglie, “On the Theory of Quanta,” English Trans- lation by A. F. Kracklauer, Annales Fondation Louis de Broglie, 2004.

[2] C. Davisson and L. H. Germer, “The Scattering of Elec- trons by a Single Crystal of Nickel,” Nature, Vol. 119, 1927, pp. 558-560. doi:10.1038/119558a0

[3] M. Arndt, O. Nairz, J. Voss-Andreae, C. Keller, G. van der Zouw and A. Zeilinger, “Wave-Particle Duality of C60 Molecules,” Nature, Vol. 401, 1999, pp. 680-682. doi:10.1038/44348

[4] S. Gerlich, S. Eibenberger, M. Tomandl, S. Nimmrichter, K. Hornberger, P. J. Fagan, J. Tüxen, M. Mayor and M. Arndt, “Quantum Interference of Large Organic Mole- cules,” Nature Communications, Vol. 2, No. 263, 2011, Article ID: 263. doi:10.1038/ncomms1263

[5] A. A. Michelson and E. W. Morley, “On the Relative Motion of the Earth and the Luminiferous Ether,” Ameri- can Journal of Science, Vol. 34, No. 203, 1887, pp. 333- 345.

[6] H. Muller, et al., “Modern Michelson-Morley Experiment Using Cryogenic Optical Resonators,” 2003. http://arxiv.org/abs/physics/0305117

[7] H. E. Ives and G. R. Stilwell, “An Experimental Study of the Rate of a Moving Clock,” Journal of the Optical So- ciety of America, Vol. 28, 1938, pp. 215-226. doi:10.1364/JOSA.28.000215

[8] H. E. Ives and G. R. Stilwell, “An Experimental Study of the Rate of a Moving Clock,” Journal of the Optical So- ciety of America, Vol. 31, 1941, pp. 369-374. doi:10.1364/JOSA.31.000369

[9] B. Rossi and D. B. Hall, “Variation of the Rate of Decay of Mesotrons with Momentum,” Physical Review, Vol. 59, No. 3, 1941, pp. 223-229. doi:10.1103/PhysRev.59.223

[10] C. W. Chou, D. B. Hume, T. Rosenband and D. J. Wine- land, “Optical Clocks and Relativity,” Science, Vol. 329 No. 5999, 2010, pp. 1630-1633. doi:10.1126/science.1192720

[11] R. V. Pound and G. A. Rebka Jr., “Gravitational Red- Shift in Nuclear Resonance,” Physical Review Letters, Vol. 3 No. 9, 1959, pp. 439-441. doi:10.1103/PhysRevLett.3.439

[12] J. Hafele and R. Keating, “Around the World Atomic Clocks: Predicted Relativistic Time Gains,” Science, Vol. 177, No. 4044, 1972, pp. 166-168. doi:10.1126/science.177.4044.166

[13] D. W. Sciama, “The Physical Foundations of General Relativity,” Heinemann Educational Books Ltd., London, 1969.