# On a microscopic representation of space-time

@article{Dahm2011OnAM, title={On a microscopic representation of space-time}, author={Rolf Dahm}, journal={Physics of Atomic Nuclei}, year={2011}, volume={75}, pages={1173-1181} }

We start from a noncompact Lie algebra isomorphic to the Dirac algebra and relate this Lie algebra in a brief review to low-energy hadron physics described by the compact group SU(4). This step permits an overall physical identification of the operator actions. Then we discuss the geometrical origin of this noncompact Lie algebra and “reduce” the geometry in order to introduce in each of these steps coordinate definitions which can be related to an algebraic representation in terms of the…

## 3 Citations

On a Microscopic Representation of Space-Time V

- Mathematics
- 2017

In order to extend our approach based on SU∗(4), we were led to (real) projective and (line) Complex geometry. So here we start from quadratic Complexe which yield naturally the ’light cone’ x 1 + x…

On a Microscopic Representation of Space-Time III

- MathematicsAdvances in Applied Clifford Algebras
- 2019

Using the Dirac (Clifford) algebra $$\gamma ^{\mu }$$γμ as initial stage of our discussion, we summarize previous work with respect to the isomorphic 15 dimensional Lie algebra su*(4) as complex…

The $C\ell(8)$ algebra of three fermion generations with spin and full internal symmetries

- Mathematics
- 2019

In this paper, the basis states of the minimal left ideals of the complex Clifford algebra $C\ell(8)$ are shown to contain three generations of Standard Model fermion states, with full Lorentzian,…

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