dorsal/arxiv
View SchemaBiologic
| Authors | Louis H. Kauffman |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0204007 |
| URL | https://arxiv.org/abs/quant-ph/0204007 |
Abstract
In this paper we explore the boundary between biology and the study of formal systems (logic). In the end, we arrive at a summary formalism, a chapter in "boundary mathematics" where there are not only containers <> but also extainers ><, entities open to interaction and distinguishing the space that they are not. The boundary algebra of containers and extainers is to biologic what boolean algebra is to classical logic. We show how this formalism encompasses significant parts of the logic of DNA replication, the Dirac formalism for quantum mechanics, formalisms for protein folding and the basic structure of the Temperley Lieb algebra at the foundations of topological invariants of knots and links.
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"abstract": "In this paper we explore the boundary between biology and the study of formal\nsystems (logic). In the end, we arrive at a summary formalism, a chapter in\n\"boundary mathematics\" where there are not only containers \u003c\u003e but also\nextainers \u003e\u003c, entities open to interaction and distinguishing the space that\nthey are not. The boundary algebra of containers and extainers is to biologic\nwhat boolean algebra is to classical logic. We show how this formalism\nencompasses significant parts of the logic of DNA replication, the Dirac\nformalism for quantum mechanics, formalisms for protein folding and the basic\nstructure of the Temperley Lieb algebra at the foundations of topological\ninvariants of knots and links.",
"arxiv_id": "quant-ph/0204007",
"authors": [
"Louis H. Kauffman"
],
"categories": [
"quant-ph"
],
"title": "Biologic",
"url": "https://arxiv.org/abs/quant-ph/0204007"
},
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