# Local Doppler effect, index of refraction through the Earth crust, PDF and the CNGS neutrino anomaly?

Abstract : In this brief paper, we show the neutrino velocity discrepancy obtained in the OPERA experiment may be due to the local Doppler effect between a local clock attached to a given detector at Gran Sasso, say $\mathcal{C}_{G}$, and the respective instantaneous clock crossing $\mathcal{C}_{G}$, say $\mathcal{C}_{C}$, being this latter at rest in the instantaneous inertial frame having got the velocity of rotation of CERN about Earth's axis in relation to the fixed stars. With this effect, the index of refraction of the Earth crust may accomplish a refractive effect by which the neutrino velocity through the Earth crust turns out to be small in relation to the speed of light in the empty space, leading to an encrusted discrepancy that may have contamined the data obtained from the block of detectors at Gran Sasso, leading to a time interval excess $\epsilon$ that did not provide an exact match between the shift of the protons PDF (probability distribution function) by $\text{TOF}_{c}$ and the detection data at Gran Sasso via the maximum likelihood matching.
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Spacetime diagram added to clarify. 2012

https://hal.archives-ouvertes.fr/hal-00669332
Contributor : Armando V.D.B. Assis <>
Submitted on : Thursday, February 16, 2012 - 11:56:54 AM
Last modification on : Thursday, February 16, 2012 - 4:59:59 PM
Document(s) archivé(s) le : Thursday, May 17, 2012 - 2:26:16 AM

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• HAL Id : hal-00669332, version 3

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Armando V.D.B. Assis. Local Doppler effect, index of refraction through the Earth crust, PDF and the CNGS neutrino anomaly?. Spacetime diagram added to clarify. 2012. <hal-00669332v3>

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