Tachyon kinematics in parametrized relativistic quantum mechanics

Fanchi, John R.

doi:10.1007/bf00731646

Cited by 8 publications

(18 citation statements)

References 49 publications

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“…My conclusion is that tachyons are indeed theoretically possible; actually they are predicted by the Stueckelberg theory [133]. Their discovery and usage for information transmission will dramatically extend our perception of the world by providing us with a window into the multiverse.…”

Section: The Landscape Of Theoretical Physics: a Global Viewmentioning

confidence: 89%

The Landscape of Theoretical Physics: A Global View

Pavšič¹

2002

Fundamental Theories of Physics

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This is a book for those who would like to learn something about special and general relativity beyond the usual textbooks, about quantum field theory, the elegant Fock-Schwinger-Stueckelberg proper time formalism, the elegant description of geometry by means of Clifford algebra, about the fascinating possibilities the latter algebra offers in reformulating the existing physical theories, and quantizing them in a natural way. It is shown how Clifford algebra provides much more: it provides room for new physics, with the prospects of resolving certain long standing puzzles. The theory of branes and the idea of how a 3-brane might represent our world is discussed in detail. Much attention is paid to the elegant geometric theory of branes which employs the infinite dimensional space of functions describing branes. Clifford algebra is generalized to the infinite dimensional spaces. In short, this is a book for anybody who would like to explore how the "theory of everything" might possibly be formulated. The theory that would describe all the known phenomena, could not be formulated without taking into account "all" the theoretical tools which are available. Foundations of those tools and their functional interrelations are described in the book. Note: This book was published by Kluwer Academic Publishers in 2001.The body of the posted version is identical to the published one, except for corrections of misprints, and some minor revisions that I have found necessary.

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Section: The Landscape Of Theoretical Physics: a Global Viewmentioning

confidence: 89%

The Landscape of Theoretical Physics: A Global View

Pavšič¹

2002

Fundamental Theories of Physics

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“…(III.F.22) could be used to eliminate certain unphysical representations by requiring that the Hamiltonian be Hermitian and positive-definite. These representations correspond to spacelike (tachyonic) states that may be physical, but their existence has not been established (Fanchi, 1990). By presenting a physical rationale for eliminating these mathematically admissible states, Johnson had to explain why exact localization was not possible for a physical state.…”

Section: I I F a L G E B R A I C F O R M U L A T I O N Smentioning

confidence: 99%

“…Neither Johnson (1971) nor Aghassi et al (1971 were able to counter Noga's concerns about spacelike states; however the possible existence of tachyons is a little more palatable today than it was 20 years ago, in part because of possible observations in particle scattering experiments (Chodos, Hauser, and Kostelecky, 1985;Wall, 1989) and superluminal motion associated with some astronomical objects like the jet of particles emitted by quasar 3C273 (Davis et al, 1991 and references therein). For a succinct review of the tachyon literature and a discussion of tachyon kinematics in the context of parametrized quantum theory, see Fanchi (1990).…”

Section: I I F a L G E B R A I C F O R M U L A T I O N Smentioning

confidence: 99%

“…Their view is essentially the same as Fanchi's (1986Fanchi's ( , 1987, although Horwitz et al view the evolution parameter as an unobservable quantity. Rather than integrate over s a la Feynm~tn and Horwitz et al, Fanchi assumes s is physically observable and seeks experimental tests to verify or refute the assumption (e.g., Fanchi, 1986Fanchi, , 1990. Horwitz, Piron, and Reuse (1975) later extended the spin-0 formalism to include spin-l/2 particles.…”

Section: K = ~M [ P~ -E A~] [ P " -E A~]mentioning

confidence: 99%

“…It contains a mass conservation law (Fanchi, 1979;Kyprianidis, 1987) that has kinematical implications (Fanchi, 1990) for particles undergoing mass-state transitions. Letting particles interact via parameter-dependent potentials leads to mass-state transitions.…”

Section: Iiih Probabilistic Formalismsmentioning

confidence: 99%

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Review of invariant time formulations of relativistic quantum theories

Fanchi

1993

Found Phys

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The purpose of this paper is to review relativistic quantum theories with an invariant evolution parameter. Parametrized relativist& quantum theories (PRQT) have appeared under such names as constraint Hamiltonian dynamics, four-space formalism, indefinite mass, micrononcausal quantum theory, parametrized path integral formalism, relativistic dynamics, Schwinger proper time method, stochastic interpretation of quantum mechanics and stochastic quantization. The review focuses on the fundamental concepts underlying the theories. Similarities as well as differences are highlighted, and an extensive bibliography is provided.

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On the interpretation of the relativistic quantum mechanics with invariant evolution parameter

Pavšič

1991

Found Phys

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Tachyon kinematics in parametrized relativistic quantum mechanics

Cited by 8 publications

References 49 publications

The Landscape of Theoretical Physics: A Global View

The Landscape of Theoretical Physics: A Global View

Review of invariant time formulations of relativistic quantum theories

On the interpretation of the relativistic quantum mechanics with invariant evolution parameter

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