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Showing papers on "Four-force published in 2019"


Book
01 Jan 2019
TL;DR: In this paper, the Lorentz transformation for the Space-Time Coordinates is used for the special Relativistic Kinematics (SRL) of the Lipschitz equation.
Abstract: Introduction. Momentum and Energy in Special Relativity. Relativistic Kinematics I. Electrodynamics. The Foundations of Special Relativity. Relativistic Kinematics II. The Lorentz Transformation for the Space-Time Coordinates. The Formalities of Special Relativity. Some Developments in Special Relativity. A Postponed Prelude.

29 citations


Book
01 Jan 2019
TL;DR: In this article, the postulates of Special Relativity Time Dilation and Length Contraction Lorentz Transformations Addition of Velocities The Interval Circle Geometry Distance Trigonometry Triangle Trig Rotations Projections Addition Formulas Hyperbola Geometry Trigonometrical Geometry distance triangle trig rotations projections addition forms.
Abstract: Introduction Newton's Relativity Einstein's Relativity The Physics of Special Relativity Observers and Measurement The Postulates of Special Relativity Time Dilation and Length Contraction Lorentz Transformations Addition of Velocities The Interval Circle Geometry Distance Trigonometry Triangle Trig Rotations Projections Addition Formulas Hyperbola Geometry Trigonometry Distance Triangle Trig Rotations Projections Addition Formulas The Geometry of Special Relativity The Surveyors Spacetime Diagrams Lorentz Transformations Space and Time Dot Product Applications Drawing Spacetime Diagrams Addition of Velocities Length Contraction Time Dilation Doppler Shift Problems I Practice The Getaway Angles are not Invariant Interstellar Travel Cosmic Rays Doppler Effect Paradoxes Special Relativity Paradoxes The Pole and Barn Paradox The Twin Paradox Manhole Covers Relativistic Mechanics Proper Time Velocity Conservation Laws Energy Useful Formulas Problems II Mass isn't Conserved Colliding Oarticles I Colliding Oarticles II Colliding Oarticles III Colliding Oarticles IV Relativistic Electromagnetism Magnetism from Electricity Lorentz Transformations Vectors Tensors The Electromagnetic Field Maxwell's Equations The Unification of Special Relativity Problems III Electricity vs. Magnetism I Electricity vs. Magnetism II Beyond Special Relativity Problems with Special Relativity Tidal Effects Differential Geometry General Relativity Uniform Acceleration and Black Holes Hyperbolic Geometry Non-Euclidean Geometry The Hyperboloid The Poincare Disk The Klein Disk The Pseudosphere Calculus Circle Trigonometry Hyperbolic Trigonometry Exponentials (and Logarithms) Bibliography

20 citations


Journal ArticleDOI
04 Jan 2019-Universe
TL;DR: In this paper, the projective theory of relativity can be fully justified physically from the causal structures and localizing protocols involved in so-called relativistic localizing systems that extend Relativistic positioning systems, and possible astrophysical manifestations based on projective effects, invariance of interactions, or observations with respect to projective transformations.
Abstract: The ‘projective theory of relativity’ is a theory developed historically by Oswald Veblen and Banesh Hoffmann, Jan Arnoldus Schouten and David van Dantzig. This theory differs radically from Kaluza-Klein/conformal type theories of spacetime, although it shares with these theories geometric aspects in five-dimensional spaces. The peculiarity of the projective geometries involved in this theory was that it is based on spaces coordinated by five so-called ‘homogeneous coordinates.’ Since then, no physical observables could be ascribed to these five homogeneous coordinates and, in particular, during the elaboration of this theory which consequently fell completely into oblivion. We will present how this projective theory of relativity can be fully justified physically from the causal structures and localizing protocols involved in so-called ‘relativistic localizing systems’ that extend ‘relativistic positioning systems.’ We explain the correspondence between ‘homogeneous coordinates’ of the projective theory of relativity and the physical observables defined in relativistic localizing systems. Then, possible astrophysical manifestations will be presented based on projective effects, invariance of interactions, or observations with respect to projective transformations.

1 citations