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Lectures on String Theory - UCI Physics and Astronomy
Lectures on String Theory - UCI Physics and Astronomy

... as a quantum field theory on the (1+1) dimensional worldsheet of the string, S = d σ Lstring . There exist many such quantum field theories and so there exist many string theories. Further, for some string theories the strings themselves arise from wrapped higher-dimensional objects and hence can ha ...
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Topological Order and the Kitaev Model

Permission to make digital or hard copies of all or part of this work
Permission to make digital or hard copies of all or part of this work

Reductionism and Emergence: Implications for the Science/theology
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... measure proper time along fundamental world lines: thereby determine the transition surfaces (“the present”) as time evolves along preferred fundamental world lines. This is not globally coordinated by some non-local mechanism: rather it happens locally everywhere So change happens on preferred surf ...
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... of VeE) is sufficiently weak we would expect the Neumann series to converge rapidly, giving ljIk perturbatively in terms of If'k' Time-dependent Approach to Scattering by Complex Energy-dependent Potentials In the usual scattering theory in the time-dependent framework (Goldberger and Watson 1964) t ...
Topological Quantum Computing - Quantum Optics Group at ETH
Topological Quantum Computing - Quantum Optics Group at ETH

... an exponential improvement over the best known classical ones (Nielsen and Chuang, 2010). A famous example is Shor’s factoring algorithm (Shor, 1994). The reason we still rely on public-key cryptography and do not design the structure of room temperature superconductors on a commercial quantum compu ...
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folije-kiten - TCPA Foundation

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... Accordingly, there is a finite number of degrees of freedom in a black hole system. ’t Hooft carried the argument one step further by pointing out that if a spherical volume V is bounded by a surface A, the total number of possible states and the entropy inside A are maximized if the volume contain ...
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Another Philosopher Looks at Quantum Mechanics - SAS

... My own conclusion from studying a large number of cases where theory is brought to bear on real phenomena is that neither quantum nor classical theories are sufficient on their own for providing accurate descriptions of the phenomena in their domain. Some situations require quantum descriptions, so ...
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... In fact, if we had a true measure, the above expression would be well-defined. (See Section 3.5 for an introduction to this topic.) You might call an element of this space a wavefunctional, in analogy with the wavefunction of non-relativistic quantum mechanics. In ordinary quantum mechanics, an elem ...
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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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