Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

A Dynamic Approach to De Broglie's Theory

Nizar Hamdan

Published Jan 1, 2005• 2 citations
OpenAlex

Abstract

Einstein's relativity (SRT) [1], raised an important question: Do its laws apply to matter/energy or to the frame of reference containing it. In other words, is SRT a property characterizing matter/energy or is it an imposed dynamics as expressed by the Lorentz Transformation (LT). This article examines the subtle difference between the two. It proves that matter/energy is the fundamental reality, while the reference frame, although it exists, exerts no force. Therefore, we can start from Newton's second law (NSL) to rebuild SRT [2]. This will allow us to derive the de Broglie relations from NSL while circumventing the well-known contradictions between SRT and de Broglie's quantum wave theory.

Related papers

The Dynamical de Broglie Theory

Nizar Hamdan

Nobody appears to have ever asked the question of how de Broglie's theroy (1) could be proven generally valid and developed from physical laws. Therefore, we will start from the classical Newton's second law (NSL) to rebuilt the therory of special relativity (SRT) (2). This enables us to derive de Broglie relations from NSL without any of the well-known contradictions between SRT and de Broglie's quantum wave..

Annales de la fondation Louis de Broglie/Annales de la Fondation Louis de Broglie•Jan 1, 2007•1 citation

A Case for Lorentzian Relativity

Daniel Shanahan

The Lorentz transformation (LT) is explained by changes occurring in the wave characteristics of matter as it changes inertial frame. This explanation is akin to that favoured by Lorentz, but informed by later insights, due primarily to de Broglie, regarding the underlying unity of matter and radiation. To show the nature of these changes, a massive particle is modelled as a standing wave in three dimensions. As the particle moves, the standing wave becomes a travelling wave having two factors. One is a carrier wave displaying the dilated frequency and contracted ellipsoidal form described by the LT, while the other (identified as the de Broglie wave) is a modulation defining the dephasing of the carrier wave (and thus the failure of simultaneity) in the direction of travel. The superluminality of the de Broglie wave is thus explained, as are several other mysterious features of the optical behaviour of matter, including the physical meaning of the Schrödinger equation and the relevance to scattering processes of the de Broglie wave vector. Consideration is given to what this Lorentzian approach to relativity might mean for the possible existence of a preferred frame and the origin of the observed Minkowski metric.

arXiv:1401.4534•Foundations of Physics•Dec 31, 2013•9 citations

A Case for Lorentzian Relativity

Daniel Shanahan

The Lorentz transformation (the LT) is explained by changes occurring in the wave characteristics of matter as it changes inertial frame. This explanation is akin to that favoured by Lorentz, but informed by later insights, due primarily to de Broglie, regarding the underlying unity of matter and radiation. To show the nature of these changes, a massive particle is modelled as a standing wave in three dimensions. As the particle moves, the standing wave becomes a travelling wave having two factors. One is a carrier wave displaying the dilated frequency and contracted ellipsoidal form described by the LT, while the other (identified as the de Broglie wave) is a modulation defining the dephasing of the carrier wave (and thus the failure of simultaneity) in the direction of travel. The superluminality of the de Broglie wave is thus explained, as are several other mysterious features of the optical behaviour of matter, including the physical meaning of the Schrödinger Eqn. and the relevance to scattering processes of the de Broglie wave number. Consideration is given to what this Lorentzian approach to relativity might mean for the possible existence of a preferred frame and the origin of the observed Minkowski metric.

•Jan 1, 2014•13 citations

Wave and Inertial Properties of Matter

Richard Schlegel

The inertial properties of matter as expressed in Newton's second law, and the mass-energy equivalence, are derived as consequences of the deBroglie equation, the Lorentz transformations, and the energy-frequency relation, E = hv. Inertia is then presented as an effect resulting from the frequency and hence energy changes with motion that result from the special relativistic time transformation and apply to mass because of the energy-mass equivalence. The deBroglie wave equation and Newton's second law are shown to be equivalent with respect to a postulate set for the deductive presentation of wave and inertial properties of matter; the deBroglie equation and Newton's second law may therefore be regarded as having the same physical content.

American Journal of Physics•Feb 1, 1954•4 citations

Derivation of the Missing Equations of Special Relativity from de-Broglie’s Matter Wave Concept and the Correspondence between Them

M.O.G. Talukder, Mushfiq Ahmad

In this paper, we have considered that the particle velocity in the matter wave concept of de Broglie is relative. It reveals that matter wave associated with a moving particle is a photon wave which has longitudinal and transverse values. The conventional de-Broglie’s wavelength-momentum relation corresponds to the longitudinal wave. As a consequence, we have found the longitudinal and transverse relative values of the mass, time, length and velocity including the missing equations of Einstein’s theory of special relativity. It also reveals that momentum and energy are relative quantities and the corresponding expressions for the longitudinal and transverse values for both of them have been presented. Moreover, the addition rules, with a general expression, for all the relative quantities based on Lorentz-Einstein transformation law for the addition of velocities have been given. Finally, the maximum and minimum values of the relative quantities have been expressed in terms of Plank’s constant and the speed of light. Their numerical values have also been calculated and presented in this paper.

Asian Journal of Applied Science and Engineering•Apr 19, 2013•0 citations

Some Comments on the Foundations of Physics

Per‐Olov Löwdin

This pedagogical monograph describes some of the fundamental views of the laws of physics. The derivations are, however, obtained from a rather unconventional point of view. The Lorentz transformations and the special theory of relativity are derived without mentioning the phenomenon of light, and the de Broglie relations in the wave-corpuscle parallelism are derived without the help of Planck's constant. By the use of Schrodinger's idea of quantization as an eigenvalue problem, the foundations of wave mechanics are discussed as a mathematical problem without reference to Planck's constant. Finally, the Kepler problem in the special theory of relativity is studied starting from the energy law, and the applications to the Hulse-Taylor binary pulsar indicate that more data about the unseen companion are needed before the interpretation of the present data may be taken as the ultimate proof of the validity of the general theory of relativity.

WORLD SCIENTIFIC eBooks•Jan 1, 1998•5 citations
Einstein's relativity (SRT) [1], raised an important question: Do its laws apply to matter/energy or to the frame of reference containing it. In other words, is SRT a property characterizing matter/energy or is it an imposed dynamics as expressed by the Lorentz Transformation (LT). This article examines the subtle difference between the two. It proves that matter/energy is the fundamental reality, while the reference frame, although it exists, exerts no force. Therefore, we can start from Newton's second law (NSL) to rebuild SRT [2]. This will allow us to derive the de Broglie relations from NSL while circumventing the well-known contradictions between SRT and de Broglie's quantum wave theory.
The Lorentz transformation (LT) is explained by changes occurring in the wave characteristics of matter as it changes inertial frame. This explanation is akin to that favoured by Lorentz, but informed by later insights, due primarily to de Broglie, regarding the underlying unity of matter and radiation. To show the nature of these changes, a massive particle is modelled as a standing wave in three dimensions. As the particle moves, the standing wave becomes a travelling wave having two factors. One is a carrier wave displaying the dilated frequency and contracted ellipsoidal form described by the LT, while the other (identified as the de Broglie wave) is a modulation defining the dephasing of the carrier wave (and thus the failure of simultaneity) in the direction of travel. The superluminality of the de Broglie wave is thus explained, as are several other mysterious features of the optical behaviour of matter, including the physical meaning of the Schrödinger equation and the relevance to scattering processes of the de Broglie wave vector. Consideration is given to what this Lorentzian approach to relativity might mean for the possible existence of a preferred frame and the origin of the observed Minkowski metric.
The Lorentz transformation (the LT) is explained by changes occurring in the wave characteristics of matter as it changes inertial frame. This explanation is akin to that favoured by Lorentz, but informed by later insights, due primarily to de Broglie, regarding the underlying unity of matter and radiation. To show the nature of these changes, a massive particle is modelled as a standing wave in three dimensions. As the particle moves, the standing wave becomes a travelling wave having two factors. One is a carrier wave displaying the dilated frequency and contracted ellipsoidal form described by the LT, while the other (identified as the de Broglie wave) is a modulation defining the dephasing of the carrier wave (and thus the failure of simultaneity) in the direction of travel. The superluminality of the de Broglie wave is thus explained, as are several other mysterious features of the optical behaviour of matter, including the physical meaning of the Schrödinger Eqn. and the relevance to scattering processes of the de Broglie wave number. Consideration is given to what this Lorentzian approach to relativity might mean for the possible existence of a preferred frame and the origin of the observed Minkowski metric.
The inertial properties of matter as expressed in Newton's second law, and the mass-energy equivalence, are derived as consequences of the deBroglie equation, the Lorentz transformations, and the energy-frequency relation, E = hv. Inertia is then presented as an effect resulting from the frequency and hence energy changes with motion that result from the special relativistic time transformation and apply to mass because of the energy-mass equivalence. The deBroglie wave equation and Newton's second law are shown to be equivalent with respect to a postulate set for the deductive presentation of wave and inertial properties of matter; the deBroglie equation and Newton's second law may therefore be regarded as having the same physical content.
In this paper, we have considered that the particle velocity in the matter wave concept of de Broglie is relative. It reveals that matter wave associated with a moving particle is a photon wave which has longitudinal and transverse values. The conventional de-Broglie’s wavelength-momentum relation corresponds to the longitudinal wave. As a consequence, we have found the longitudinal and transverse relative values of the mass, time, length and velocity including the missing equations of Einstein’s theory of special relativity. It also reveals that momentum and energy are relative quantities and the corresponding expressions for the longitudinal and transverse values for both of them have been presented. Moreover, the addition rules, with a general expression, for all the relative quantities based on Lorentz-Einstein transformation law for the addition of velocities have been given. Finally, the maximum and minimum values of the relative quantities have been expressed in terms of Plank’s constant and the speed of light. Their numerical values have also been calculated and presented in this paper.
This pedagogical monograph describes some of the fundamental views of the laws of physics. The derivations are, however, obtained from a rather unconventional point of view. The Lorentz transformations and the special theory of relativity are derived without mentioning the phenomenon of light, and the de Broglie relations in the wave-corpuscle parallelism are derived without the help of Planck's constant. By the use of Schrodinger's idea of quantization as an eigenvalue problem, the foundations of wave mechanics are discussed as a mathematical problem without reference to Planck's constant. Finally, the Kepler problem in the special theory of relativity is studied starting from the energy law, and the applications to the Hulse-Taylor binary pulsar indicate that more data about the unseen companion are needed before the interpretation of the present data may be taken as the ultimate proof of the validity of the general theory of relativity.