Abstract
In this ChapterM = (M, D,η), denotes Minkowski spacetime[1], i.e., M is a four dimensional manifold diffeomorphic to R 4, η is a Lorentzian metric of signature (1, 3) and D is the Levi-Civita connection of η. As is well known, under these conditions there exists a global coordinate chart 〈 x µ〉 of the maximal atlas of M, such that there is a global basis ∂/∂x µ of TM (the tangent bundle) such thatl
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
R. K. Sachs and H. Wu, General Relativity for Mathematicians (Springer, New York, 1997).
D. Bohm and B. J. Hilley, Undivided Universe (Routledge, London and New York, 1993).
P. R. Holland, The Quantum Theory of Motion (Cambridge University Press, Cambridge, 1993).
W. A. Rodrigues Jr. and J. Y. Lu,On the existence of undistorted progressive waves (UPWs) of arbitrary speeds 0 < v < oo in nature, Found. Phys. 27(3) 453–508 (1997).
W. A. Rodrigues Jr., Q. A. G. de Souza, J. Vaz Jr. and P. Lounesto, DiracHestenes spinor fields in Riemann-Cartan manifolds, Int. J. Theor. Phys. 35(9), 1849–1900 (1996).
A. Lasenby, S. Gull and C. Doran, in: Clifford (Geometrical) Algebras with Applications in Physics, Mathematics and Engineering, edited by W. E. Baylis (Birkhäuser, Boston, 1996), pp.147–169.
W. A. Rodrigues Jr., J. Vaz Jr, E. Recami and G. Sallesi,About zitterbewegung and electron structure, Phys. Lett. B 318(4), 623–628 (1993).
W. A. Rodrigues Jr. and J. Vaz Jr., in: Electron Theory and Quantum Electrodynamics, edited by J. P. Dowling (Plenum Publ. Corporation, New York, 1997), pp. 201–222.
W. A. Rodrigues Jr., J. Vaz Jr. and M. Paysic The Clifford bundle and the dynamics of the superparticle, Banach Center Publ., Polish Acad. Sci. 37, 295–314 (1996).
W. E. Baylis,, in: Clifford (Geometrical) Algebras with Applications in Physics, Mathematics and Engineering, edited by W. E. Baylis (Birkhäuser, Boston, 1996), pp.253–268.
H. Schmidt, Collapse of the state vector and PK effect, Found. Phys. 12(6) 565–581 (1982).
H. P. Stapp, Theoretical model of a purported empirical violation of the predictions of quantum theory, Phys. Rev. A 50(1), 18–22 (1994).
E. J. Squires, An experiment to test an explanation of a possible violation of quantum theory, Found. Phys. Lett. 8(6), 589–591 (1995).
O. Costa de Beauregard, Macroscopic retrocausation, Found. Phys. Lett. 8(3), 287–291(1995).
L. de Broglie, Non Linear Quantum Mechanics. A Causal Interpretation, Elsevier Publishing Co., Amsterdam, 1960.
L. Mackinnon, Nondispersive de Broglie wave packet, Found.Phys. 8(3–4), 3–4 (1978).
Ph. Gueret and J. P. Vigier, De Broglie wave particle duality in the stochastic interpretation of quantum mechanics—a testable physical assumption, Found. Phys. 12(11), 1057–1083 (1982);
Ph. Gueret and J. P. Vigier, Relativistic wave equations with quantum potential, 38(4),125–128 (1983).
H. Freidstadt, The causal formulation of quantum mechanics of particles, Nuovo Cimento 5(suppl.), 1–70 (1957).
A. O. Barut, Schrödinger’s interpretation of IF as a continuous charge distribution, Annalen der Phys. 45(7), 31–36 (1998).
A. O. Barut and N. Una, A new approach to bound-state quantum electrodynamics. 1. Theory, Physica A 142(1–3), 1–3 (1987).
A. O. Barut and J. P. Dowling, Quantum electrodynamics based on self-energy without 2nd quantization—the Lamb shift and long range Casimir-Polder-van der Walls forces near boundaries Phys. Rev. A 36(6), 2250–2556 (1987).
A. O. Barut, The revival of Schrödinger’s interpretation of quantum mechanics, Found. Phys. Lett. 1 (1), 47–56 (1988).
P. Saari and K. Reivelt, Evidence for X-shaped propagation-invariant localized light waves, Phys. Rev. Lett. 79(21), 4135–4138 (1997).
E. Capelas de Oliveira and W. A. Rodrigues Jr., Superluminal electromagnetic waves in free space, Ann. der Physik 7(7–8), 7–8 (1998).
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media New York
About this chapter
Cite this chapter
Grib, A.A., Rodrigues, W.A. (1999). De Broglie-Bohm Relativistic HVT. In: Nonlocality in Quantum Physics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4687-0_11
Download citation
DOI: https://doi.org/10.1007/978-1-4615-4687-0_11
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7122-9
Online ISBN: 978-1-4615-4687-0
eBook Packages: Springer Book Archive