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advanced_tools:internal_symmetry [2018/04/15 09:35] jakobadmin [Why is it interesting?] |
advanced_tools:internal_symmetry [2018/04/15 09:39] ida |
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====== Internal Symmetry ====== | ====== Internal Symmetry ====== | ||
- | <tabbox Why is it interesting?> | + | //see also [[basic_tools:symmetry]] and [[advanced_tools:gauge_symmetry]]// |
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+ | <tabbox Intuitive> | ||
<blockquote>You are sitting in a room with a friend and a ping-pong ball (perfectly spherical and perfectly white— the ping-pong ball, not the friend). The conversation gets around to Newtonian mechanics. You toss the ball to your friend. | <blockquote>You are sitting in a room with a friend and a ping-pong ball (perfectly spherical and perfectly white— the ping-pong ball, not the friend). The conversation gets around to Newtonian mechanics. You toss the ball to your friend. | ||
Both of you agree that, given the speed and direction of the toss, F = m A | Both of you agree that, given the speed and direction of the toss, F = m A | ||
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<cite>page 22ff in Topology, Geometry and Gauge fields by Naber</cite> | <cite>page 22ff in Topology, Geometry and Gauge fields by Naber</cite> | ||
</blockquote> | </blockquote> | ||
- | <tabbox Layman> | ||
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<cite>Deep Down Things by Schumm></cite></blockquote> | <cite>Deep Down Things by Schumm></cite></blockquote> | ||
- | <tabbox Student> | + | <tabbox Concrete> |
<note tip> | <note tip> | ||
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</note> | </note> | ||
- | <tabbox Researcher> | + | <tabbox Abstract> |
<note tip> | <note tip> | ||
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- | <tabbox Examples> | + | <tabbox Why is it interesting?> |
- | + | Internal symmetries are powerful that we use, for example, to derive the correct Lagrangians describing fundamental interactions. | |
- | --> Example1# | + | |
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- | <-- | + | |
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- | --> Example2:# | + | |
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- | <-- | + | |
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- | <tabbox FAQ> | + | |
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- | <tabbox History> | + | |
</tabbox> | </tabbox> | ||