Time on a rotating platform

Goy, François; Selleri, F.

doi:10.1007/bf02764117

Cited by 20 publications

(19 citation statements)

References 21 publications

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“…ether theory, Sagnac was the first scientist who reported an experimental observation of the effect of rotation on spacetime, which, after him, was named "Sagnac effect". It is interesting to notice that the Sagnac effect was interpreted as a disproval of the Special Theory of Relativity (SRT) not only during the early years of relativity (in particular by Sagnac himself), but, also, more recently, in the 90's by Selleri [6], [7], Croca-Selleri [8], Goy-Selleri [9], Vigier [10], Anastasovski et al [11]. However, this claim is incorrect: the Sagnac effect can be explained completely in the framework of SRT, which allows a deeper insight into its very foundations.…”

Section: The Early Yearsmentioning

confidence: 99%

The Sagnac Phase Shift Suggested by the Aharonov-Bohm Effect for Relativistic Matter Beams

Rizzi

Ruggiero

2003

General Relativity and Gravitation

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The phase shift due to the Sagnac Effect, for relativistic matter beams counter-propagating in a rotating interferometer, is deduced on the bases of a a formal analogy with the the Aharonov-Bohm effect. A procedure outlined by Sakurai, in which non relativistic quantum mechanics and newtonian physics appear together with some intrinsically relativistic elements, is generalized to a fully relativistic context, using the Cattaneo's splitting technique. This approach leads to an exact derivation, in a self-consistently relativistic way, of the Sagnac effect. Sakurai's result is recovered in the first order approximation.

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Section: The Early Yearsmentioning

confidence: 99%

The Sagnac Phase Shift Suggested by the Aharonov-Bohm Effect for Relativistic Matter Beams

Rizzi

Ruggiero

2003

General Relativity and Gravitation

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“…where the coefficients f 1 , g 2 , e 4 , and e 1 can depend on v. If at this point one assumes the validity of the relativity principle (including invariance of light velocity) these transformations reduce necessarily to the Lorentz ones. It was shown in [1] that the most general transformations (16) satisfying the conditions of constant two-way velocity of light and of time dilation according to the usual relativistic factor are such that…”

Section: Speed Of Light Relative To Inertial Framesmentioning

confidence: 99%

“…See also Ref. [4] for a detailed discussion of the problem both from the special and the general relativistic point of view.…”

Section: Speed Of Light Relative To Inertial Framesmentioning

confidence: 99%

Noninvariant one-way speed of light and locally equivalent reference frames

Selleri

1997

Found Phys Lett

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We consider an isotropical inertial reference frame ("stationary") and in it a uniformly rotating circular platform of radius R. The velocity of light ˜ c relative to the rim of the platform is calculated and found to have values necessarily different from c. This ˜ c remains the same if R is increased but the peripheral velocity is kept constant. Since by so doing any small piece of the circumference can be considered better and better at rest in a ("moving") inertial system, the velocity of light relative to this system can be deduced. Noninvariant values are obtained and shown to coincide with the predictions of our recently published "inertial transformations".

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“…And in a similar way, I run through the collection of happenings that are connected with me in the personal present of Bart. It is till now an unresolved problem, linked to the problem of synchronization in relativity theory [63,64], whether this view can be upheld. We believe that this problem should be analyzed taking into account the two subtle and different notions of reality that we consider in this paper.…”

Section: Fusing Of Different Personal Realitiesmentioning

confidence: 99%

Towards a General Operational and Realistic Framework for Quantum Mechanics and Relativity Theory

Aerts¹,

Aerts²

2005

Quo Vadis Quantum Mechanics?

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We propose a general operational and realistic framework that aims at a generalization of quantum mechanics and relativity theory, such that both appear as special cases of this new theory. Our framework is operational, in the sense that all aspects are introduced with specific reference to events to be experienced, and realistic, in the sense that the hypothesis of an independent existing reality is taken seriously. To come to this framework we present a detailed study of standard quantum mechanics within the axiomatic approach to quantum mechanics, more specifically the Geneva-Brussels approach, identifying two of the traditional 6 axioms as 'failing axioms'. We prove that these two failing axioms are at the origin of the impossibility for standard quantum mechanics to describe a continuous change from quantum to classical and hence its inability to describe macroscopic physical reality. Moreover we show that the same two axioms are also at the origin of the impossibility for standard quantum mechanics to deliver a model for the compound entity of two 'separated' quantum entities. We put forward that it is necessary to replace these two axioms in order to proceed to the more general theory. Next we analyze the nature of the quantum probability model and show that it can be interpreted as the consequence of the presence of a lack of knowledge on the interaction between the measurement apparatus and the physical entity under consideration. These two insights, the failing axioms and the nature of quantum probability, give rise to a very specific view on the quantum phenomenon of nonlocality. Nonlocality should be interpreted as nonspatiality. This means that an entity in a nonlocal state, like for example the typical EPR state, is 'not inside space'. As a consequence, space is no longer the all embracing theatre of reality, but a structure that has emerged together with the macroscopic material entities that have emerged from the microworld. This clarifies why general relativity theory cannot be used as a basis for the elaboration of the new generalized theory, since in general relativity theory the set of events is taken a priori to be the time-space continuum. Hence in general relativity theory time-space is a basic structure considered to capture all of reality. In our framework we introduce 'happenings' and the 'set of happenings' as constituting reality. A happening is however not identified with a point of time-space, as this is the case for an events of general relativity theory. We analyze different aspects of the new framework, and list the most important problems to be investigated for an elaboration of this framework into a workable and as complete as possible theory.

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Time on a rotating platform

Cited by 20 publications

References 21 publications

The Sagnac Phase Shift Suggested by the Aharonov-Bohm Effect for Relativistic Matter Beams

The Sagnac Phase Shift Suggested by the Aharonov-Bohm Effect for Relativistic Matter Beams

Noninvariant one-way speed of light and locally equivalent reference frames

Towards a General Operational and Realistic Framework for Quantum Mechanics and Relativity Theory

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