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The proper resolution of the so-called measurement problem requires a "top-down" conception of the quantum world that is opposed to the usual "bottom-up" conception, which builds on an intrinsically and maximally differentiated manifold.…

Quantum Physics · Physics 2011-05-25 Ulrich Mohrhoff

We introduce functional degrees of freedom by a new gauge principle related to the phase of the wave functional. Thereby, quantum mechanical systems are seen as dissipatively embedded part of a nonlinear classical structure producing…

Quantum Physics · Physics 2007-05-23 Hans-Thomas Elze

Quantum link models provide an extension of Wilson's lattice gauge theory in which the link Hilbert space is finite-dimensional and corresponds to a representation of an embedding algebra. In contrast to Wilson's parallel transporters,…

High Energy Physics - Lattice · Physics 2022-01-12 Uwe-Jens Wiese

The traditional formalism of non-relativistic quantum theory allows the state of a quantum system to extend across space, but only restricts it to a single instant in time, leading to distinction between theoretical treatments of spatial…

Quantum Physics · Physics 2018-11-21 Zhikuan Zhao , Robert Pisarczyk , Jayne Thompson , Mile Gu , Vlatko Vedral , Joseph F. Fitzsimons

"Quantum Topology" deals with the general quantum theory as the theory of the functional quantum space; space time and energy momentum forms form a connected manifold; a functional quantum space on the quantum level. The general quantum…

General Physics · Physics 2007-05-23 Diaa A Ahmed

The paper is the first of two parts of the work devoted to the investigation of constructing quantum theory of a closed universe as a system without asynptotic states. In Part I the role of asymptotic states in quantum theory of gravity is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. A. Savchenko , T. P. Shestakova , G. M. Vereshkov

The existence of a fundamental scale, a lower bound to any output of a position measurement, seems to be a model-independent feature of quantum gravity. In fact, different approaches to this theory lead to this result. The key ingredients…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Luis J. Garay

Using tangent bundle geometry we construct an equivalent reformulation of classical field theory on flat spacetimes which simultaneously encodes the perspectives of multiple observers. Its generalization to curved spacetimes realizes a new…

High Energy Physics - Theory · Physics 2018-06-13 Mattias N. R. Wohlfarth

We introduce functional degrees of freedom by a new gauge principle related to the phase of the wave functional. Thus, quantum mechanical systems are dissipatively embedded into a nonlinear classical dynamical structure. There is a…

High Energy Physics - Theory · Physics 2008-11-26 Hans-Thomas Elze

This is a nontechnical introduction to recent work on quantum gravity using ideas from higher-dimensional algebra. We argue that reconciling general relativity with the Standard Model requires a `background-free quantum theory with local…

General Relativity and Quantum Cosmology · Physics 2015-02-13 John C. Baez

A new non-perturbative approach to quantum field theory --- D-theory --- is proposed, in which continuous classical fields are replaced by discrete quantized variables which undergo dimensional reduction. The 2-d classical O(3) model…

High Energy Physics - Lattice · Physics 2009-10-30 B. B. Beard , R. C. Brower , S. Chandrasekharan , D. Chen , A. Tsapalis , U. -J. Wiese

We perform an experimental test where we directly observe light-induced electron transitions with a macroscopic spatial discontinuity. The effect is related to the fundamental indivisibility of macroscopic orbit-like quantum states…

Quantum Physics · Physics 2018-06-27 Sergey A. Emelyanov

The representations of the observable algebra of a low dimensional quantum field theory form the objects of a braided tensor category. The search for gauge symmetry in the theory amounts to finding an algebra which has the same…

High Energy Physics - Theory · Physics 2008-02-03 Reinhard Häring

The main argument by proponents of Many-World interpretations of quantum mechanics is that as more and more previously disentangled degrees of freedom become entangled with the microscopic degree we measure, there is no way of telling when…

Quantum Physics · Physics 2021-12-15 Martin Greiter

The topological properties of adiabatic gauge fields for multi-level (three-level in particular) quantum systems are studied in detail. Similar to the result that the adiabatic gauge field for SU(2) systems (e.g. two-level quantum system or…

Quantum Physics · Physics 2009-11-13 Zheng-Xin Liu , Xiao-Ting Zhou , Xin Liu , Xiong-Jun Liu , Jing-Ling Chen

In this paper, we outline a new approach to quantum gravity; describing states for a bounded region of spacetime as eigenstates for two classes of physically plausible gedanken experiments. We end up with two complementary descriptions in…

General Relativity and Quantum Cosmology · Physics 2008-04-02 Louis Crane

In this paper, we discuss a novel top-down perspective on gauging parameters in quantum field theories (QFTs) by promoting them to partially dynamical fields. Through a generalized notion of symmetry theories, we explore the consequences of…

High Energy Physics - Theory · Physics 2024-12-03 Xingyang Yu

We provide detailed evidence for the claim that nonperturbative quantum gravity, defined through state sums of causal triangulated geometries, possesses a large-scale limit in which the dimension of spacetime is four and the dynamics of the…

High Energy Physics - Theory · Physics 2010-04-06 J. Ambjorn , J. Jurkiewicz , R. Loll

Space-time is one of the most essential, yet most mysterious concepts in physics. In quantum mechanics it is common to understand time as a marker of instances of evolution and define states around all the space but at one time; while in…

Quantum Physics · Physics 2020-12-01 Tian Zhang , Oscar Dahlsten , Vlatko Vedral

The quest for unification of particles and fields and for reconciliation of Quantum Mechanics and General Relativity has led us to gauge theories, string theories, supersymmetry and higher-extended objects: membranes... Our spacetime is…

High Energy Physics - Theory · Physics 2007-05-23 Bernard L. Julia