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PHYS 1311: Advanced Intro. Physics I 

PHYS 1311: Advanced Intro. Physics I 


... 2. Formulate hypothesis to explain phenomenon 3. Use hypothesis to predict other (related) phenomena 4. Perform experiment/observation to test hypothesis 5. Repeat (3) and (4) many times 6. If step (5) is all correct, then the hypothesis (2) may be regarded as a law or theory of nature 7. If (5) is ...
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... At the Planck scale, Quantum Mechanics is not wrong, but its interpretation may have to be revised, not only for philosophical reasons, but also to enable us to construct more concise theories, recovering e.g. locality (which appears to have been lost in string theory). The “random numbers”, inheren ...
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... Scalar filed d = 1, Fermion , d = 3/2 E.M field, d = 1 . Now consider in scalar theory ...
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... Euclidean-Newtonian substrate of Galilean group of transformations; ii) the Minkowskian substrate of Lorentzian group of transformations; iii) any given, “rigid” Riemann-Einstein spacetime. We have correspondingly: i) the nonrelativistic quantum mechanics of the systems with a finite number of degre ...
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... fuzzy. We can no longer make predictions with certainty. Nature is intrinsically probabilistic. Objects have no clear position unless we look at them. Despite its strangeness, the theory of quantum mechanics has been passing all experimental tests and has been confirming various bizarre predictions. ...
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Topological quantum field theory

A topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants.Although TQFTs were invented by physicists, they are also of mathematical interest, being related to, among other things, knot theory and the theory of four-manifolds in algebraic topology, and to the theory of moduli spaces in algebraic geometry. Donaldson, Jones, Witten, and Kontsevich have all won Fields Medals for work related to topological field theory.In condensed matter physics, topological quantum field theories are the low energy effective theories of topologically ordered states, such as fractional quantum Hall states, string-net condensed states, and other strongly correlated quantum liquid states.
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