symmetry principle

symmetry principle

[′sim·ə‚trē ‚prin·sə·pəl]
(mathematics)
The centroid of a geometrical figure (line, area, or volume) is at a point on a line or plane of symmetry of the figure.
References in periodicals archive ?
ERG considers three exceptions to the symmetry principle:
While such symmetrical thinking is attractive for its simplicity, Lieberson (1985) has pointed out that not all causal relationships are governed by a symmetry principle. Reversing the direction of a force exerted on a billiard ball does reverse its trajectory across a pool table, but can we safely assume that this tidy relationship applies to the causal processes in organizations over time?
The principle at issue is the symmetry principle, which says that the kind of explanation one gives for belief in a proposition should not depend on whether or not it is currently accepted as true.(21) It is methodologically unsound, according to the symmetry principle, to explain why defeated theories were held as true by referring to, e.g., the prejudices of their holders, their ignorance of certain phenomena, or their failure to make certain deductions, while explaining belief in currently accepted theories by reference to the ability of the holders to free themselves from prejudice, their discovery of crucial lemmas, or their correct interpretation of their own data.
In the first part of the project, the student will develop and study new inflationary scenarios, motivated by symmetry principles, which can produce a background of primordial gravitational waves with distinctive features.
We would like to lay emphasis on the contents of Section 5, where we have been able to exploit the virtues of symmetry principles to express the (anti-)BRST and (anti-)co-BRST charges in various exact forms.
Perhaps the power of symmetry principles to reveal nature's secrets has been drained, and a novel insight into how to pry secrets from nature awaits discovery.
4) For science to exist, certain conditions must hold and these restrictions, on the physical universe, are a direct consequence of the existence of symmetry principles.
Writing for physicists working in molecular spectroscopy and quantum chemistry, Burenin (applied physics, Russian Academy of Sciences) systematically describes quantum intramolecular dynamics on the basis of the symmetry principles only.
Models inspired by (generalization of) symmetry principles;
Rather more serious, I think, is the somewhat surprising omission of relationship between PSR and symmetry principles in physics, such as Curie's principle, symmetry breaking, gauge symmetry and so on.
The ideal of a physicist is a set of equations that can fit on a T-shirt and generate all interactions between elementary particles based on abstract symmetry principles. However, equations on a T-shirt would contain very little information; they would say remarkably little about our universe.
Recognizing that the mathematical laws of today's physics have foundations not completely known and that nobody knows why the wavefunction yields right answers, Mindell envisions that next-generation mathematics, physics, and psychology will be based on the nonlocal sentient awareness itself as the fundamental "reality." In his view, symmetry principles and uncertainty principles may be more fundamental than CR space and time, and symmetry principles in turn may have their origins in self-reflection.

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