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chandru_iyer sentient bipedal physicist

Joined: 23 Mar 2005 Posts: 1 Location: New Delhi, India
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Posted: Wed Mar 23, 2005 6:04 am Post subject: Can Symmetry Guarantee Equivalence or Equality? |
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The equations of transformation of points of object to points of image are symmetric with the inverse operation in the case of the reflecting mirror. But the object and image, as we all know, are not equivalent.
The contention of this paper is to emphasize that a mathematical symmetry or equivalence of a transformation with its inverse does not necessarily ensure the equivalence of the two entities involved.
Obviously, the conclusion that the frames are equivalent because the transformation and its inverse are symmetric is not sound in logic as already explained by the simple case of the reflecting mirror.
www.easyrelativity.com
Last edited by chandru_iyer on Thu May 25, 2006 12:22 pm; edited 3 times in total |
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Eugene Shubert the new William Miller

Joined: 06 Apr 2002 Posts: 1006 Location: Richardson Texas
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Posted: Wed Mar 23, 2005 7:35 am Post subject: Re: Can Symmetry Guarantee Equivalence or Equality? |
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Dear Chandru,
You do ask an essential question: "Can Symmetry Guarantee Equivalence or Equality?" I believe that your mirror analogy on your web page states your criticism of special relativity more persuasively:
| Chandru Iyer wrote: | The equations of transformation of points of object to points of image are symmetric with the inverse operation in the case of the reflecting mirror. But the object and image, as we all know, are not equivalent.
The contention of this paper is to emphasize that a mathematical symmetry or equivalence of a transformation with its inverse does not necessarily ensure the equivalence of the two entities involved. |
I appreciate your insightful objection to the very lopsided appearance of SR. Did you know that there is a simple derivation of special relativity that does not invoke lopsided sounding physics principles or any requirement of group symmetry? See this derivation of the Lorentz transformation:
http://www.everythingimportant.org/relativity/special.pdf |
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