dorsal/arxiv
View SchemaStandard and Hyperfinite Unifications for All Physical Theories
| Authors | Robert A. Herrmann |
|---|---|
| Categories | |
| ArXiv ID | physics/0105012 |
| URL | https://arxiv.org/abs/physics/0105012 |
| Journal | Internat. J. Math. Math. Scie. 28:2 (2001):93-102 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
In this paper, the set of all physical theories is represented by a countable subset of the lattice of consequence operators defined on a language L. It is established that there exists a unifying injection U defined on the set of significant representations for natural-systems M. If W is a member of M, then U selects an ultralogic C such that C(*W) restricted to L is a unification for the set of all physical theories as each is applied to W. There also exists a standard injection S that for each W in M selects a standard unifying consequence operator D, where C(*W) is a subset of *D(*W). It is also shown how to use these unifying operators and obtain a product operator that has the same effect but, in a practical sense, this operator is applied to every natural-system within our universe simultaneously.
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"abstract": "In this paper, the set of all physical theories is represented by a countable\nsubset of the lattice of consequence operators defined on a language L. It is\nestablished that there exists a unifying injection U defined on the set of\nsignificant representations for natural-systems M. If W is a member of M, then\nU selects an ultralogic C such that C(*W) restricted to L is a unification for\nthe set of all physical theories as each is applied to W. There also exists a\nstandard injection S that for each W in M selects a standard unifying\nconsequence operator D, where C(*W) is a subset of *D(*W). It is also shown how\nto use these unifying operators and obtain a product operator that has the same\neffect but, in a practical sense, this operator is applied to every\nnatural-system within our universe simultaneously.",
"arxiv_id": "physics/0105012",
"authors": [
"Robert A. Herrmann"
],
"categories": [
"physics.gen-ph"
],
"journal_ref": "Internat. J. Math. Math. Scie. 28:2 (2001):93-102",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Standard and Hyperfinite Unifications for All Physical Theories",
"url": "https://arxiv.org/abs/physics/0105012"
},
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