Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans...

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Symmetry and Physical Law Barry R. Holstein UMass Amherst

Transcript of Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans...

Page 1: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under

Symmetry and Physical Law

Barry R. Holstein

UMass Amherst

Page 2: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 3: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 4: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 5: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 6: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 7: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 8: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 9: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 10: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 11: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 12: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 13: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 14: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 15: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 16: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 17: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 18: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 19: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 20: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 21: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 22: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 23: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 24: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 25: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 26: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 27: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 28: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 29: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 30: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 31: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 32: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 33: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 34: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 35: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 36: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 37: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 38: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 39: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 40: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 41: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 42: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 43: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 44: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
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Page 46: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 47: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 48: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 49: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 50: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 51: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 52: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 53: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 54: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
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Page 57: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 58: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 59: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 60: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 61: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 62: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 63: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 64: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 65: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 66: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
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Page 68: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
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Page 73: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
Page 74: Symmetry and Symmetry Breaking · Mankind always fascinated by concept of symmetry Pythagorans considered circle (sphere) to be most (three-dimensional) objects ... C invariant under
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