Titlebook: Symmetry Rules; How Science and Natu Joe Rosen Book 20081st edition Springer-Verlag Berlin Heidelberg 2008 Foundations of science.Group the

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The Concept of Symmetry, some aspect of the situation unaffected. Then we have symmetry under the change with respect to that aspect. If some aspect of the situation is not immune to the change, then the situation is asymmetric under the change with respect to this aspect. Since a change requires the existence of a referen

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Science Is Founded on Symmetry,stand rationally and objectively the reproducible and predictable aspects of nature. It is shown that science operates by the method of reduction, by “slicing” the Universe into “parts,” and that reduction implies symmetry. Three ways that reduction is applied in science are discusses: observer and

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Symmetry in Physics,d symmetry of the laws of nature, is a manifestation of nature’s indifference to certain aspects of physical systems. When systems differ only in such aspects, nature treats the systems in essentially the same manner so that they evolve in essentially the same way. States of systems are symmetric wh

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Approximate Symmetry, Spontaneous Symmetry Breaking,ances” for degrees of inequivalence. Thus, a metric is a softening of the all-or-nothing character of an equivalence relation. That allows the definition of an approximate symmetry transformation as any transformation that changes every state to a state that is nearly equivalent with the original. A

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Cosmic Considerations,, that reduction is problematic. How symmetry of the laws of nature might fit into the picture is considered as well. Symmetry of the Universe is discussed, with the conclusions that the Universe as a whole cannot possess exact symmetry, and for the Universe as a whole, undifferentiability of degree

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The Formalism of Symmetry,ons. These very general concepts are introduced: system, which is whatever we investigate the properties of; subsystem, a system wholly subsumed within a system; state of a system, a possible condition of the system; and state space of a system, which is the set of all states of the same kind. The c