dorsal/arxiv
View SchemaMatrix Representation of Special Relativity
| Authors | Wolfgang Koehler |
|---|---|
| Categories | |
| ArXiv ID | physics/0701105 |
| URL | https://arxiv.org/abs/physics/0701105 |
Abstract
I compare the matrix representation of the basic statements of Special Relativity with the conventional vector space representation. It is shown, that the matrix form reproduces all equations in a very concise and elegant form, namely: Maxwell equations, Lorentz-force, energy-momentum tensor, Dirac-equation and Lagrangians. The main thesis is, however, that both forms are nevertheless not equivalent, but matrix representation is superior and gives a deeper insight into physical reality, because it is based on much less assumptions. It allows a better understanding of Minkowski spacetime on the basis of matrix algebra. An escpecially remarkable result of the consequent usage of this alge- braic concept is the formulation of Diracs equation in a novel matrix form. This equation can be generalized to include a new variant of Yang-Mills gauge fields, which possibly express unified electro-weak interactions in a new way.
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"abstract": "I compare the matrix representation of the basic statements of Special\nRelativity with the conventional vector space representation. It is shown, that\nthe matrix form reproduces all equations in a very concise and elegant form,\nnamely: Maxwell equations, Lorentz-force, energy-momentum tensor,\nDirac-equation and Lagrangians. The main thesis is, however, that both forms\nare nevertheless not equivalent, but matrix representation is superior and\ngives a deeper insight into physical reality, because it is based on much less\nassumptions. It allows a better understanding of Minkowski spacetime on the\nbasis of matrix algebra. An escpecially remarkable result of the consequent\nusage of this alge- braic concept is the formulation of Diracs equation in a\nnovel matrix form. This equation can be generalized to include a new variant of\nYang-Mills gauge fields, which possibly express unified electro-weak\ninteractions in a new way.",
"arxiv_id": "physics/0701105",
"authors": [
"Wolfgang Koehler"
],
"categories": [
"physics.gen-ph"
],
"title": "Matrix Representation of Special Relativity",
"url": "https://arxiv.org/abs/physics/0701105"
},
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