David Eelbode

collaborators

3 papers

physics.gen-ph2025

Lepton Triptych I: Geometric Foundations of Electroweak Symmetry in the Real Clifford Algebra $Cl_{4} (R)$

Martin Roelfs, David Eelbode

This paper investigates how the spinor space of the electroweak gauge group $SU_{I} (2) \times U_{Y} (1)$ can be derived using recent geometric techniques within the re…

math-ph2024

Outer and Eigen: Tangent Concepts

David Eelbode, Martin Roelfs, Steven De Keninck

In this paper we use the power of the outer exponential $Λ^{B}$ of a bivector $B$ to see the so-called invariant decomposition from a different perspective. This is deeply connected…

math-ph2024

From Invariant Decomposition to Spinors

Martin Roelfs, David Eelbode, Steven De Keninck

Plane-based Geometric Algebra (PGA) has revealed points in a $d$ -dimensional pseudo-Euclidean space $R_{p, q, 1}$ to be represented by $d$ -blades rather than vectors. This d…

Lepton Triptych I: Geometric Foundations of Electroweak Symmetry in the Real Clifford Algebra Cl4​(R)

Outer and Eigen: Tangent Concepts

From Invariant Decomposition to Spinors

Lepton Triptych I: Geometric Foundations of Electroweak Symmetry in the Real Clifford Algebra $Cl_{4} (R)$