Geometry of Moving Planes

Garret Sobczyk
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Garret Sobczyk: Universidad de Las Américas, Departamento de Física y Matemáticas

Chapter Chapter 11 in New Foundations in Mathematics, 2013, pp 181-199 from Springer

Abstract: Abstract In special relativity, the fabric of space and time becomes irrevocably knit together in the concept of space–time. The first section explains how the concept of 2-dimensional space–time in the geometric algebra $${\mathbb{G}}_{1}$$ , introduced in Chap. 2 , generalizes to the full 4-dimensional space–time of special relativity in the geometric algebra $${\mathbb{G}}_{3}$$ . With only a slight loss of generality, we then restrict our attention to the study of 3-dimensional space–time in the geometric algebra $${\mathbb{G}}_{2}$$ .

Keywords: Geometric Algebra; Passive Boost; Active Boost; Vector Relation; Antisymmetric Product (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-0-8176-8385-6_11

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