61 citations · 360 across the 42 of their papers we have counts for
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On the bundle of Clifford algebras over the space of quadratic forms
Arkadiusz Jadczyk
For each quadratic form Q in Quad(V) over a given vector space over a field R we have the Clifford algebra Cl(V,Q) defined as the quotient T(V)/I(Q) of the tensor algebra T(V) over…
Lorentz transformation from an elementary point of view
Arkadiusz Jadczyk, Jerzy Szulga
Elementary methods are used to examine some nontrivial mathematical issues underpinning the Lorentz transformation. Its eigen-system is characterized through the exponential of a $…
START in a five-dimensional conformal domain
Arkadiusz Jadczyk
In this paper we give a brief review of the pseudo-Riemannian geometry of the five-dimensional homogeneous space for the conformal group O(4,2). Its topology is described and its r…
Geometry and Shape of Minkowski's Space Conformal Infinity
Arkadiusz Jadczyk
We review and further analyze Penrose's 'light cone at infinity' - the conformal closure of Minkowski space. Examples of a potential confusion in the existing literature about it's…
Gravitation on a Homogeneous Domain
Arkadiusz Jadczyk
Among all plastic deformations of the gravitational Lorentz vacuum \cite{wr1} a particular role is being played by conformal deformations. These are conveniently described by using…
Compactified Minkowski Space: Myths and Facts
Arkadiusz Jadczyk
Minkowski space, conformal group, compactification, conformal infinity, conformal inversion, light cone at infinity, SU(2,2), SO(4,2), Hodge star operator, Clifford algebra, spinor…
Some comments on projective quadrics subordinate to pseudo--Hermitian spaces
Arkadiusz Jadczyk
We study in some detail the structure of the projective quadric Q' obtained by taking the quotient of the isotropic cone in a standard pseudo-Hermitian space H_{p,q} with respect t…
The Theory of Kairons
Arkadiusz Jadczyk
In relativistic quantum mechanics wave functions of particles satisfy field equations that have initial data on a space--like hypersurface. We propose a dual field theory of ``wavi…