Spacetime and fields, a quantum texture

@inproceedings{Doplicher2001SpacetimeAF,
  title={Spacetime and fields, a quantum texture},
  author={Sergio Doplicher},
  year={2001}
}
We report on joint works, past and in progress, with K. Fredenhagen and with J. E. Roberts, on the quantum structure of spacetime in the small which is dictated by the principles of Quantum Mechanics and of General Relativity; we comment on how these principles point to a deep link between coordinates and fields. This is an expanded version of a lecture delivered at the 37th Karpacz School in Theoretical Physics, February 2001. 
View PDF on arXiv
69 Citations
Highly Influential Citations
5
Background Citations
28
Methods Citations
6
Results Citations
1

69 Citations

Quantum Spacetime and Algebraic Quantum Field Theory

We review the investigations on the quantum structure of spacetime, to be found at the Planck scale if one takes into account the operational limitations to the localization of events which result…

Modular Theory, Non-Commutative Geometry and Quantum Gravity ?

This paper contains the first written exposition of some ideas (announced in a previous survey) on an approach to quantum gravity based on Tomita-Takesaki modular theory and A. Connes non-commutative…

Quantum Spacetime: a Disambiguation

We review an approach to non-commutative geometry, where models are constructed by quantisation of the coordinates. In particular we focus on the full DFR model and its irreducible components; the…

A ug 2 00 6 Quantum Field Theory on Quantum Spacetime

Condensed account of the Lectures delivered at the Meeting on Noncommutative Geometry in Field and String Theory, Corfu, September 18 20, 2005. Introduction. Can Quantum Mechanics and General…

Noncommutative field theory

We review the generalization of field theory to space-time with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known…

Twisting all the way: From classical mechanics to quantum fields

We discuss the effects that a noncommutative geometry induced by a Drinfeld twist has on physical theories. We systematically deform all products and symmetries of the theory. We discuss…

Non-Commutative Geometry, Categories and Quantum Physics

After an introduction to some basic issues in non-commutative geometry (Gel'fand duality, spectral triples), we present a "panoramic view" of the status of our current research program on the use of…

Gravity and the structure of noncommutative algebras

A gravitational field can be defined in terms of a moving frame, which when made noncommutative yields a preferred basis for a differential calculus. It is conjectured that to a linear perturbation…

Gravity and the Structure of

A gravitational field can be defined in terms of a moving frame, which when made noncommutative yields a preferred basis for a differential calculus. It is conjectured that to a linear perturbation…

Quantum Spacetime and the Universe at the Big Bang, Vanishing Interactions and Fading Degrees of Freedom

As discussed in Bahns et al. (2015) fundamental physical principles suggests that, close to cosmological singularities, the effective Planck length diverges, hence a “quantum point” becomes…
...

References

SHOWING 1-10 OF 28 REFERENCES

The quantum structure of spacetime at the Planck scale and quantum fields

We propose uncertainty relations for the different coordinates of spacetime events, motivated by Heisenberg's principle and by Einstein's theory of classical gravity. A model of Quantum Spacetime is…

Quantum groups, gravity, and the generalized uncertainty principle.

  • Maggiore
  • Mathematics, Physics
    Physical review. D, Particles and fields
  • 1994
The result indicates that in the $\ensuremath{\kappa}$-deformed Poincar\'e algebra a minimal observable length emerges naturally.

Spacetime quantization induced by classical gravity

New quantum Poincaré algebra and κ-deformed field theory

Noncommutative parameters of quantum symmetries and star products

The star product technique translates the framework of local fields on noncommutative spacetime into nonlocal fields on standard spacetime. We consider the example of fields on κ-deformed Minkowski…

FINITE FIELD THEORY ON NONCOMMUTATIVE GEOMETRIES

The propagator is calculated on a noncommutative version of the flat plane and the Lobachevsky plane with and without an extra (Euclidean) time parameter. In agreement with the general idea of…

Worldvolume Uncertainty Relations for D-Branes

By quantizing an open string ending on a D-brane in a nontrivial supergravity background, we argue that there is a new kind of uncertainty relation on a D-brane worldvolume. Furthermore, we fix the…

Probing models of quantum space-time foam

We review the possibility that quantum fluctuations in the structure of space-time at the Planck scale might be subject to experimental probes. We study the effects of space-time foam in an approach…

String Theory and the Space-Time Uncertainty Principle

The notion of a space-time uncertainty principle in string theory is clarified and further developed. The motivation and the derivation of the principle are first reviewed in a reasonably…

Unbounded elements affiliated withC*-algebras and non-compact quantum groups

The affiliation relation that allows to include unbounded elements (operators) into theC*-algebra framework is introduced, investigated and applied to the quantum group theory. The quantum…