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Analogue Gravity
 Living Rev. Rel
"... Analogue models of (and for) gravity have a long and distinguished history dating back to the earliest years of general relativity. In this review article we will discuss the history, aims, results, and future prospects for the various analogue models. We start the discussion by presenting a particu ..."
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Cited by 66 (23 self)
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Analogue models of (and for) gravity have a long and distinguished history dating back to the earliest years of general relativity. In this review article we will discuss the history, aims, results, and future prospects for the various analogue models. We start the discussion by presenting a particularly simple example of an analogue model, before exploring the rich history and complex tapestry of models discussed in the literature. The last decade in particular has seen a remarkable and sustained development of analogue gravity ideas, leading to some hundreds of published articles, a workshop, two books, and this review article. Future prospects for the analogue gravity programme also look promising, both on the experimental front (where technology is rapidly advancing) and on the theoretical front (where variants of analogue models can be used as a springboard for radical attacks on the problem
A condensed matter interpretation of SM fermions and gauge
"... Abstract. We present the bundle (Aff(3) ⊗ C ⊗ Λ)(R 3), with a geometric Dirac equation on it, as a threedimensional geometric interpretation of the SM fermions. Each (C ⊗ Λ)(R 3) describes an electroweak doublet. The Dirac equation has a doublerfree staggered spatial discretization on the lattice ..."
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Cited by 15 (12 self)
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Abstract. We present the bundle (Aff(3) ⊗ C ⊗ Λ)(R 3), with a geometric Dirac equation on it, as a threedimensional geometric interpretation of the SM fermions. Each (C ⊗ Λ)(R 3) describes an electroweak doublet. The Dirac equation has a doublerfree staggered spatial discretization on the lattice space (Aff(3) ⊗ C)(Z 3). This space allows a simple physical interpretation as a phase space of a lattice of cells in R 3. We find the SM SU(3)c × SU(2)L × U(1)Y action on (Aff(3) ⊗ C ⊗ Λ)(R 3) to be a maximal anomalyfree special gauge action preserving E(3) symmetry and symplectic structure, which can be constructed using two simple types of gaugelike lattice fields: Wilson gauge fields and correction terms for lattice deformations. The lattice fermion fields we propose to quantize as low energy states of a canonical quantum theory with Z2degenerated vacuum state. We construct anticommuting fermion operators for the resulting Z2valued (spin) field theory. A metric theory of gravity compatible with this model is presented too. 1.
THE BACKGROUND AS A QUANTUM OBSERVABLE: EINSTEIN’S HOLE ARGUMENT IN A QUASICLASSICAL CONTEXT
, 909
"... Abstract. We consider a thought experiment measuring the decoherence for quasiclassical superpositions of gravitational field. The hole argument allows to prove that a covariant (backgroundfree) theory is completely unable to define the outcome of this experiment and is therefore not viable. Instea ..."
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Abstract. We consider a thought experiment measuring the decoherence for quasiclassical superpositions of gravitational field. The hole argument allows to prove that a covariant (backgroundfree) theory is completely unable to define the outcome of this experiment and is therefore not viable. Instead, the results of experiments of this type allow to reconstruct a common background shared by all superposed gravitational fields. 1.
SPACEGEOMETRIC INTERPRETATION OF STANDARD MODEL FERMIONS
, 2003
"... Abstract. Based on the geometric interpretation of the Dirac equation as an evolution equation on the threedimensional exterior bundle Λ(R 3), we propose the bundle (T ⊗ Λ ⊗ Λ)(R 3) as a geometric interpretation of all standard model fermions. The generalization to curved background requires an ADM ..."
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Abstract. Based on the geometric interpretation of the Dirac equation as an evolution equation on the threedimensional exterior bundle Λ(R 3), we propose the bundle (T ⊗ Λ ⊗ Λ)(R 3) as a geometric interpretation of all standard model fermions. The generalization to curved background requires an ADM decomposition M 4 ∼ = M 3 × R and gives the bundle (T ⊗ Λ ⊗ Λ)(M 3). As a consequence of the geometric character of the bundle there is no necessity to introduce a tetrad or triad formalism. Our spacegeometric interpretation associates colors as well as fermion generations with directions in space, electromagnetic charge with the degree of a differential form, and weak interactions with the Hodge ∗ operator. The spacegeometric interpretation leads to different physical predictions about the connection of SM with gravity, but gives no such differences on Minkowski background. 1.
A QUANTUM VARIANT OF EINSTEIN’S HOLE ARGUMENT
, 902
"... Abstract. We extend Einstein’s hole argument into the quantum domain, and argue that quantum observables for quasiclassical superpositional states of gravitational fields require additional information to be welldefined, namely, relative positions of the gravitational fields involved in superpositi ..."
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Abstract. We extend Einstein’s hole argument into the quantum domain, and argue that quantum observables for quasiclassical superpositional states of gravitational fields require additional information to be welldefined, namely, relative positions of the gravitational fields involved in superpositional states. As a consequence, for the definition of these quantum observables we need a common background. The observable is a transition probability in a simple doubleslit experiment with partial gravitational measurement of position. It may be easily computed in nonrelativistic Schrödinger theory with Newtonian potential. 1.