dorsal/arxiv
View SchemaAxioms for Mach's mechanics
| Authors | Adonai S. Sant'Anna, Clovis A. S. Maia |
|---|---|
| Categories | |
| ArXiv ID | physics/0005041 |
| URL | https://arxiv.org/abs/physics/0005041 |
Abstract
We present an axiomatic framework for what we call Mach's mechanics, inspired on the ideas by A. K. T. Assis and P. Graneau about relational mechanics. We show that contrarily to what is suggested by these authors, Mach's principle does not need to be committed with any Weber's like gravitational force. Actually it is possible to settle an axiomatic framework for non-relativistic classical particle mechanics which incorporates Mach's principle and is consistent with any force that obeys the newtonian action-reaction principle. We make further criticisms concerning relational mechanics.
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"abstract": "We present an axiomatic framework for what we call Mach\u0027s mechanics, inspired\non the ideas by A. K. T. Assis and P. Graneau about relational mechanics. We\nshow that contrarily to what is suggested by these authors, Mach\u0027s principle\ndoes not need to be committed with any Weber\u0027s like gravitational force.\nActually it is possible to settle an axiomatic framework for non-relativistic\nclassical particle mechanics which incorporates Mach\u0027s principle and is\nconsistent with any force that obeys the newtonian action-reaction principle.\nWe make further criticisms concerning relational mechanics.",
"arxiv_id": "physics/0005041",
"authors": [
"Adonai S. Sant\u0027Anna",
"Clovis A. S. Maia"
],
"categories": [
"physics.class-ph"
],
"title": "Axioms for Mach\u0027s mechanics",
"url": "https://arxiv.org/abs/physics/0005041"
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