## Matter Waves in a Static Gravitational Field

**Authors:** Neculai Agavriloaei

The new approach of the matter waves concept initiated by Louis de Broglie in 1924 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, thus confirming this study. 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 subquantum level into a new light and makes the connection between this level and that of the planetary systems.

**Comments:** 10 Pages.

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### Submission history

[v1] 2012-05-14 12:51:34

[v2] 2012-05-23 13:25:40

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