The Concept of Mass

Okun, L.B.

doi:10.1063/1.881171

Cited by 208 publications

(147 citation statements)

References 10 publications

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“…(38) reads m || = m effγ 3 > 0 [Eq. (14)], as one would expect for a particle with m eff independent of v [67]. Given a nonzero a 0 , one as well has m ||1 > 0, because σ < 1 at the first branch, as seen from Fig.…”

Section: Longitudinal Massmentioning

confidence: 58%

Positive and negative effective mass of classical particles in oscillatory and static fields

Dodin

Fisch

2008

Phys. Rev. E

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A classical particle oscillating in an arbitrary high-frequency or static field effectively exhibits a modified rest mass m eff derived from the particle averaged Lagrangian. Relativistic ponderomotive and diamagnetic forces, as well as magnetic drifts, are obtained from the m eff dependence on the guiding center location and velocity. The effective mass is not necessarily positive and can result in backward acceleration when an additional perturbation force is applied. As an example, adiabatic dynamics with m|| > 0 and m|| < 0 is demonstrated for a wave-driven particle along a dc magnetic field, m|| being the effective longitudinal mass derived from m eff . Multiple energy states are realized in this case, yielding up to three branches of m|| for a given magnetic moment and parallel velocity.

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Section: Longitudinal Massmentioning

confidence: 58%

Positive and negative effective mass of classical particles in oscillatory and static fields

Dodin

Fisch

2008

Phys. Rev. E

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“…However, there are other important invariants, generated from different dot products. For example, the proper time τ , coming from a specific time-like interval [5] and the mass, which is defined by the squared of the 4-momentum p 2 [6]. This comparison between geometry and relativity is a starting point for students to plunge in the four-dimensional world of physics.…”

Section: Discussionmentioning

confidence: 99%

Spatial Geometry and Special Relativity: a comparative approach

Kneubil

2016

Rev. Bras. Ensino Fís.

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In this work, it is shown the interplay of relative and absolute entities, which are present in both spatial geometry and special relativity. In order to strengthen the understanding of special relativity, we discuss firstly an instance of geometry and the existence of both frame-dependent and frame-independent entities. We depart from a subject well known by students, which is the three-dimensional geometric space in order to compare, afterwards, with the treatment of four-dimensional space in the special relativity. The differences and similarities between these two subjects are also presented in a explicit way, with the goal of improving the comprehension of newcomers on the theory of relativity. Keywords: geometry, special relativity, four-dimensional space, scalar product, relativistic invariant Nesse trabalhoé mostrada a inter-relação das grandezas relativas e absolutas, que estão presentes tanto na geometria espacial quando na relatividade especial. A fim de reforçar o entendimento da relatividade especial, discutimos primeiramente um exemplo da geometria e a existência de entidades dependentes e independentes do referencial. Nós partimos de um assunto bem conhecido dos estudantes, queé o espaço geométrico tridimensional para comparar, depois, com o tratamento do espaço quadridimensional na relatividade especial. As diferenças e similaridades entre esses dois assuntos são também apresentadas de uma maneira explícita, com o objetivo de melhorar a compreensão dos alunos iniciantes na teoria da relatividade. Palavras-chave: geometria, relatividade especial, espaço quadridimensional, produto escalar, invariante relativístico

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“…The implication of this is that the solar system, the Milky Way Galaxy and the universe in general should be described by the same laws as the revised electromagnetic theory, except that the frequencies are different (ν g1 and ν g2 ). Hence, the relationship between planets, stars and galaxies is described by the gravitational energy quantum vector according to Equation (14). Hence, all bodies (planets, stars) in the universe generate gravitational current, gravitational force, gravitational displacement and gravitational magnetic field.…”

Section: ( )mentioning

confidence: 99%

A Novel Elementary Particle Theory Based on External Energy Absorbed and Re-Emitted by Atoms

Giertz¹

2015

JMP

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In this study, all energy in the universe, here called energy quanta, originates from a singularity at the centre of the universe. The electron and the atom are completely passive; they absorb energy quanta by means of forced damped oscillators and the absorbed energy quanta are then re-emitted. Absorbed and stored energy quanta result in nuclear energy. Re-emitted energy quanta are fields. Re-emitted energy quanta operating on oscillators, in adjacent particles and atoms, result in forces: strong force, Coulomb force and gravitational force. Using this model may enable unification of elementary particle physics, general relativity, electromagnetic theory and quantum physics into one comprehensive theory.

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The Concept of Mass

Cited by 208 publications

References 10 publications

Positive and negative effective mass of classical particles in oscillatory and static fields

Positive and negative effective mass of classical particles in oscillatory and static fields

Spatial Geometry and Special Relativity: a comparative approach

A Novel Elementary Particle Theory Based on External Energy Absorbed and Re-Emitted by Atoms

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