Category Archives: Lorentz transforations

Complexification of a Real Krein Space. Part I

Introduction There is a rather unusual journal called the Journal of Humanistic Mathematics. It aims to provide an open forum for academic and informal discussions of the “human face of mathematics,” focusing on aesthetic, cultural, historical, literary, pedagogical, philosophical, psychological, … Continue reading

Posted in Functional analysis, Krein spaces, Linear Algebra, Lorentz transforations, Quaternions, Special relativity | Tagged , , , , | 6 Comments

Fundamental Symmetries in Minkowski Krein Space

It is always good to have at least one example. I am reading the Preface to A Course in Functional Analysis by John B. Conway (Springer, 1985), where the author notes: Historically, mathematics has gone from the particular to the general—not the … Continue reading

Posted in Krein spaces, Linear Algebra, Lorentz transforations, Uncategorized | Tagged , , , , , | 15 Comments

Densities

This post introduces “densities”. There is a very nice book, available on arxiv, by Sean M. Carroll: “Lecture Notes on General Relativity“. There, on p. 52, Carroll writes “… we don’t like tensor densities, we like tensors.” Well, I do … Continue reading

Posted in AI, Geometry, Lorentz transforations, Spin and rotations, Uncategorized | Tagged , , , , , , | 56 Comments