The Cantor-Bernstein-Schröder Theorem
31 minutes ago
About Statistical Questions Involved in the Data Analysis of the OPERA Experiment
Authors: H. Bergeron
(Submitted on 24 Oct 2011)
Abstract: The authors of the OPERA experiment [arXiv:1109.4897] claim that "the measurement indicates an early arrival time of CNGS muon neutrinos with respect to the one computed assuming the speed of light in vacuum". In this note we analyze the statistical aspects of the experimental results presented in [arXiv:1109.4897], assuming that no hidden experimental bias exists. Due to statistical constraints, we show (through two different methods) that the experimental data presented in [arXiv:1109.4897] do not permit to conclude unambiguously with the existence of a superluminal behavior of neutrinos. The problem lies essentially in the interpretation of the data and not in their veracity.
The concept of coordinate time in a local inertial frame is established for the GPS as follows. In the local Earth-Centered Inertial frame, imagine a network of atomic clocks at rest and synchronized using constancy of c. To each real, moving clock apply corrections to yield a paper clock which then agrees with one of these hypothetical clocks in the underlying inertial frame, with which the moving clock instantaneously coincides. The time resulting from such corrections is then a coordinate time, free from inconsistencies, whose rate is determined by clocks at rest on the earth's rotating geoid.
At the end of the last century America had Bob Hope, Johnny Cash, and Steve Jobs. Now we have no Jobs, No Cash, and No Hope.
hep-ph is chock-a-block with papers purporting to explain the OPERA results, using theoretical models of varying degrees of absurdity.Perhaps Sabine Hossenfelder has it right, in her tweet:
Explanation for OPERA result: A 5th force connecting the GPS with the collective physicists' subconsciousness begging for unexplained data.