Alice's Adventures in Wonderland

Carroll, Lewis

doi:10.1515/9781400874262

Cited by 108 publications

(105 citation statements)

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“…(Carroll 1996) I began thinking about writing this book while writing my PhD thesis. I wanted to break out from the constraints of doctoral writing all along, but thanks to the careful counsel of my supervisors, Dr. Helen Jones and Professor Kevin Orr, I found one voice in my thesis writing-that of the scholar, and now, here I am searching for another voice-that of the writer.…”

Section: VIImentioning

confidence: 99%

Teacher Education in Lifelong Learning

Iredale¹

2018

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Section: VIImentioning

confidence: 99%

Teacher Education in Lifelong Learning

Iredale¹

2018

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“…An example of a weak value is the "quantum Cheshire cat" [2,3], named after the Cheshire Cat in Alice in Wonderland [4] who could disappear while leaving its grin behind. In the weak-value version, a photon takes one path through a Mach-Zehnder interferometer while its net polarization vanishes on that path but not on the other.…”

Section: The Quantum Cheshire Catmentioning

confidence: 99%

Locality and nonlocality in the interaction-free measurement

2018

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Abstract. We present a paradox involving a particle and a mirror. They exchange a nonlocal quantity, modular angular momentum L z mod 2 , but there seems to be no local interaction between them that allows such an exchange. We demonstrate that the particle and mirror do interact locally via a weak local current L z mod 2 w . In this sense, we transform the "interaction-free measurement" of Elitzur and Vaidman, in which two local quantities (the positions of a photon and a bomb in the two arms of a Mach-Zehnder interferometer) interact nonlocally, into a thought experiment in which two nonlocal quantities (the weak modular angular momentum of the particle and of the mirror) interact locally. The quantum Cheshire CatSo-called "weak values" [1] have taken their place alongside eigenvalues and expectation values as possible measured values in quantum mechanics. But while an ordinary ensemble suffices for measuring eigenvalues and expectation values, weak values require a "pre-and post-selected" (PPS) ensemble. Though unconventional, a PPS ensemble with initial state |ψ in and final state |ψ f in is (in principle) easy to prepare: we measure an operator that has |ψ in as an eigenstate, and then an operator with |ψ f in as an eigenstate, on as many systems as we like; and then we keep only those systems with those respective eigenstates. In between, we measure whatever we like, but with a measurement interaction weak enough to be consistent with the PPS ensemble. If the interaction is weak enough, the result of measuring an operator A is the weak value A w of A:In this way, weak values enable us to answer questions about quantum systems that we otherwise cannot even ask. An example of a weak value is the "quantum Cheshire cat" [2,3], named after the Cheshire Cat in Alice in Wonderland [4] who could disappear while leaving its grin behind. In the weak-value version, a photon takes one path through a Mach-Zehnder interferometer while its net polarization vanishes on that path but not on the other. In this experiment, the photon and its polarization separate at a welldefined moment as the Cat passes through the first beam-splitter of the interferometer. There is also [5] an experiment in which the separation is continuous: the Cat is confined to one side of a potential a

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“…8, No. 4;2016 Alice's frame is just her 3-height (ℎ ) projected (and rotated through ) to the remote horizon, where it is the collapse vector R (Figure 1b), and if Alice and Bob stand at each other's curvature limit (horizons) they will now disagree on contraction and phase. Taking the 2-surface as the base space ℳ , then the 3-height ℎ is the fibre, , representing an internal space at each point on ℳ , generating a fibre bundle, ℬ, with ℬ = ℳ × .…”

Section: Perspective As Gaugementioning

confidence: 99%

Quantum Gravity as Higher Dimensional Perspective

Langley¹

2016

APR

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Although highly predictive in their respective macroscopic and microscopic domains of applicability, General Relativity and quantum mechanics are mathematically incompatible, perhaps most markedly in assumptions in their formalisms concerning the nature of space and time. In perspective we already have a conceptual structure that links the local, macroscopic frame and the remote, apparently microscopic frame. A mathematical principle is invoked as a natural limit on D( ), so that effects which are clearly perspectival at D = 3 become 'more real' (effectively observer-independent) with each D( ) increment. For instance, the apparently microscopic becomes the effectively microscopic and scale extremes are juxtaposed, so that black holes are local, macroscopic vanishing-points, in a similar way to that in which in projective geometry the point at infinity is incorporated into the foreground. (In other words, a black hole is a blown-up 'Planck-scale' singularity.) Characteristics of the earthbound frame are applied to D > 3, suggesting a physical basis for entanglement, and perspectival interpretations of quantum gravity, dimensional reduction and the information paradox. We claim that the familiar processes whereby multiple physical states become describable by a single state in which composition information appears to be lost (e.g., 'falling into a black hole', the state of quantum linearity, and the state of freefall) are all examples of effective convergence of a space or n-surface to a single point of perspective.

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Alice's Adventures in Wonderland

Cited by 108 publications

References 0 publications

Teacher Education in Lifelong Learning

Teacher Education in Lifelong Learning

Locality and nonlocality in the interaction-free measurement

Quantum Gravity as Higher Dimensional Perspective

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