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What can Physics learn from Continuum Mechanics ?
General Relativity and Quantum Cosmology · Submitted 20 Nov 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim By doing so, I hope to attract attention to the possible relevance of these facts for `fundamental' physics.
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
This paper is mostly a collection of ideas already published by various authors, some of them even a long time ago. Its intention is to bring the reader to know some rather unknown papers of different fields that merit interest and to show some relations between them the author claims to have observed. In the first section, some comments on old unresolved problems in theoretical physics are collected. In the following, I shall explain what relation exists between Feynman graphs and the teleparallel theory of Einstein and Cartan in the late 1920s, and the relation of both to the theories of the incompressible aether around 1840. Reviewing these developments, we will have a look at the continuum theory of dislocations developed by Kroener in the 1950s and some techniques of differential geometry and topology relevant for a modern description of defects in continous media. I will then illustrate some basic concepts of nonlinear continuum mechanics and discuss applications to the above theories. By doing so, I hope to attract attention to the possible relevance of these facts for `fundamental' physics.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | This paper is mostly a collection of ideas already published by various authors, some of them even a long time ago. | limitation 0.84 | 0.07 | 0.03 | asserted 1.00 |
| s1 | Its intention is to bring the reader to know some rather unknown papers of different fields that merit interest and to show some relations between them the author claims to have observed. | contribution 0.86 | 0.26 | 0.07 | asserted 0.94 |
| s2 | In the first section, some comments on old unresolved problems in theoretical physics are collected. | contribution 0.45 | 0.22 | 0.03 | asserted 0.96 |
| s3 | In the following, I shall explain what relation exists between Feynman graphs and the teleparallel theory of Einstein and Cartan in the late 1920s, and the relation of both to the theories of the incompressible aether around 1840. | contribution 0.93 | 0.28 | 0.07 | asserted 0.96 |
| s4 | Reviewing these developments, we will have a look at the continuum theory of dislocations developed by Kroener in the 1950s and some techniques of differential geometry and topology relevant for a modern description of defects in continous media. | contribution 0.43 | 0.10 | 0.04 | asserted 0.75 |
| s5 | I will then illustrate some basic concepts of nonlinear continuum mechanics and discuss applications to the above theories. | contribution 0.57 | 0.47 | 0.05 | asserted 0.87 |
| s6 | By doing so, I hope to attract attention to the possible relevance of these facts for `fundamental' physics. | interpretation 0.54 | 0.10 | 0.21 | hedged possibility 0.95 |
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The paper
Original abstract
This paper is mostly a collection of ideas already published by various authors, some of them even a long time ago. Its intention is to bring the reader to know some rather unknown papers of different fields that merit interest and to show some relations between them the author claims to have observed. In the first section, some comments on old unresolved problems in theoretical physics are collected. In the following, I shall explain what relation exists between Feynman graphs and the teleparallel theory of Einstein and Cartan in the late 1920s, and the relation of both to the theories of the incompressible aether around 1840. Reviewing these developments, we will have a look at the continuum theory of dislocations developed by Kroener in the 1950s and some techniques of differential geometry and topology relevant for a modern description of defects in continous media. I will then illustrate some basic concepts of nonlinear continuum mechanics and discuss applications to the above theories. By doing so, I hope to attract attention to the possible relevance of these facts for `fundamental' physics.
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References
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3 arXiv papers cite this in 5 sentences
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Cites it as background 1 paper
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More specifically a formal link between moving dislocations and special relativity was pointed out by Frank in 1949 [ref] , then variously discussed by a number of other authors (cited in sect. 2.1 of [ref] ).
Defects in Four-Dimensional Continua: A Paradigm for the Expansion of the Universe? · Introduction · 0.92
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