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  1. Advances in Applied Clifford Algebras
  2. Advances in Applied Clifford Algebras : Volume 25
  3. Advances in Applied Clifford Algebras : Volume 25, Issue 2, June 2015
  4. Hyperbolic Superluminal Scator Algebra
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Advances in Applied Clifford Algebras : Volume 26
Advances in Applied Clifford Algebras : Volume 25
Advances in Applied Clifford Algebras : Volume 25, Issue 4, December 2015
Advances in Applied Clifford Algebras : Volume 25, Issue 3, September 2015
Advances in Applied Clifford Algebras : Volume 25, Issue 2, June 2015
2D Quaternionic Time-Harmonic Maxwell System in Elliptic Coordinates
Interior L p -Estimates for Functions in Clifford Type Algebras
Solution of the Initial Value Problem for a Linear Evolution Equation in a Clifford Type Algebra
A Modified Dirac Operator in Parameter–Dependent Clifford Algebra: A Physical Realization
Hyperbolic Superluminal Scator Algebra
An Efficient Method for Solving Equations in Generalized Quaternion and Octonion Algebras
Bernoulli and Euler Polynomials in Clifford Analysis
An Algorithm for Coneigenvalues and Coneigenvectors of Quaternion Matrices
Existence of Stationary States for A-Dirac Equations with Variable Growth
Dual Fibonacci Quaternions
On a Eigenvalue Problem Involving Dirac Operator
The Coincidence Site Lattices in 2D Hexagonal Lattices Using Clifford Algebra
The Distinguishing Boundary for Monogenic Functions of Clifford Analysis
Spinor and Twistor Geometry in Einstein Gravity and Finsler Modifications
CPT Groups of Spinor Fields in de Sitter and Anti-de Sitter Spaces
Advances in Applied Clifford Algebras : Volume 25, Issue 1, March 2015
Advances in Applied Clifford Algebras : Volume 24
Advances in Applied Clifford Algebras : Volume 23
Advances in Applied Clifford Algebras : Volume 22
Advances in Applied Clifford Algebras : Volume 21
Advances in Applied Clifford Algebras : Volume 20
Advances in Applied Clifford Algebras : Volume 19
Advances in Applied Clifford Algebras : Volume 18
Advances in Applied Clifford Algebras : Volume 17
Advances in Applied Clifford Algebras : Volume 16
Advances in Applied Clifford Algebras : Volume 15
Advances in Applied Clifford Algebras : Volume 14
Advances in Applied Clifford Algebras : Volume 13
Advances in Applied Clifford Algebras : Volume 12
Advances in Applied Clifford Algebras : Volume 11
Advances in Applied Clifford Algebras : Volume 10
Advances in Applied Clifford Algebras : Volume 9
Advances in Applied Clifford Algebras : Volume 8
Advances in Applied Clifford Algebras : Volume 7

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Hyperbolic Superluminal Scator Algebra

Content Provider Springer Nature Link
Author Fernández Guasti, M. Zaldívar, Felipe
Copyright Year 2014
Abstract An alternate time-space framework is proposed by means of a hyperbolic scator algebraic formalism where the deformed Lorentz transformations are an immediate consequence of the formal properties of the algebra. We survey the group properties of the hyperbolic product in the restricted, super-restricted and zero magnitude subsets as well as in the complete scator set. Some properties of the magnitude are derived together with a decomposition of 1 + n dimensional scators in n products of scator elements with scalar component and only one non-vanishing director component. These results are used to describe the scator properties in 1+ n dimensions. The super-restricted subset is associated with superluminal frames or tachyons. The various compositions of subluminal and superluminal events in the same direction follow the canonical superluminal Lorentz transformations interpretation. Composition of orthogonal components produce novel results. Products of scators with components within and outside the light pyramid yield sub or super luminal scators as well as scators belonging to a mixed state.
Starting Page 321
Ending Page 335
Page Count 15
File Format PDF
ISSN 01887009
Journal Advances in Applied Clifford Algebras
Volume Number 25
Issue Number 2
e-ISSN 16614909
Language English
Publisher Springer Basel
Publisher Date 2014-08-04
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Non-distributive algebras hypercomplex numbers superluminal Lorentz transformations scators Mathematical Methods in Physics Theoretical, Mathematical and Computational Physics Applications of Mathematics Physics
Content Type Text
Resource Type Article
Subject Applied Mathematics
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