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Proceedings of the Physical Society

II. Discussion of an experiment proposed for testing the simultaneity theorem of the special theory of relativity

J.L. Rodda

Published Jul 1, 1965• 0 citations
Publisher

Abstract

Recently Fürth proposed an experiment to test the theorem of the relativity of simultaneity of events. Using this theorem he shows that the proposed experiment will result in a measurable phase shift. He neglects, however, the Lorentz transformation for spatial coordinates, and it is shown here that when this transformation is included the phase shift will actually be zero.

DOI
10.1088/0370-1328/86/1/131

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Recently Fürth proposed an experiment to test the theorem of the relativity of simultaneity of events. Using this theorem he shows that the proposed experiment will result in a measurable phase shift. He neglects, however, the Lorentz transformation for spatial coordinates, and it is shown here that when this transformation is included the phase shift will actually be zero.
We live in a world, half of which consists of invisible elementary waves, of which we know very little. They are not electromagnetic waves: they travel in the opposite direction and convey no energy. What is the medium in which they travel? Franco Selleri (1936-2013) of University of Bari, Italy, devoted his career to answering that question. He developed his own theory of relativity. Zero energy quantum waves travel in Lorentz aether at rest. His relativity differs from Einstein’s Theory of Special Relativity (TSR) in terms of Absolute Simultaneity. If two events are simultaneous for one observer, they are simultaneous for all observers. Although this contradicts TSR, international treaties have adopted Absolute Simultaneity as the basis for coordinating all atomic clocks to the nanosecond. Atomic clocks control all other clocks. Absolute simultaneity is essential for commerce and computer networks.. Selleri’s relativity can be divided into two parts: time and aether. Time can be understood without ever speaking of the speed of light. When it comes to aether, a subject rarely mentioned today, it appears to be Isaac Newton’s absolute time and space, modified to fit the Lorentz transformations and the non-Euclidean curved space of Einstein’s General Relativity.
In this paper we introduce the three main notions of probability used by physicists and discuss how these are to be used when invoking spacelike separated observers in a relativistic format. We discuss a standard EPRB experiment and concentrate upon problems of the interpretation of probabilities. We promote a particularly conservative interpretation of this experiment (which need not invoke an objective notion of collapse) where probabilities are, tentatively, passively Lorentz invariant. We also argue that the Heisenberg picture is preferable in relativistic situations due to a conflict between the Schrodinger picture and passive Lorentz transformations of probabilities. Throughout most of this paper we discuss the relative frequency interpretation of probability as this is most commonly used. We also introduce the logically necessary notion of `prior-frequency' in discussing whether the choice by an observer can have any causal effect upon the measurement results of another. We also critically examine the foundational use of relative frequency in no-signalling theorems. We argue that SQT and SR are probabilistically compatible, although we do not discuss whether they are compatible on the level of individual events.