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SYMMETRIES in PHYSICS

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Symmetry and Spontaneous Symmetry Break<strong>in</strong>g<br />

Selected Groups and Symmetries<br />

Spontaneous Symmetry Break<strong>in</strong>g<br />

Symmetry vs. Asymmetry - Historical Perspective [1]<br />

Pr<strong>in</strong>ciple of Sufficient Reason (LEIBNIZ)<br />

If there is no sufficient reason for th<strong>in</strong>gs to happen - then the<br />

orig<strong>in</strong>al situation does not change<br />

The underly<strong>in</strong>g idea: the presence of symmetry guarantees that<br />

one choice is as good as any other - thus noth<strong>in</strong>g happens<br />

Pierre CURIE (’Sur la symétrie dans les phénomènes physiques’)<br />

For a phenomenon to take place - an absence of symmetry is<br />

needed - the asymmetry gives the orig<strong>in</strong> to phenomena<br />

If one phenomenon is a ’cause’ and another ’result’ - the symmetry<br />

of cause must be higher than the symmetry of the result<br />

Jerzy DUDEK<br />

<strong>SYMMETRIES</strong> <strong>in</strong> <strong>PHYSICS</strong>

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