activity
19942026
most citedMoyal Planes are Spectral Triples

139 citations · 367 across the 13 of their papers we have counts for

collaborators

13 papers

astro-ph.CO2026

Mapping the Universe as a Bianchi I cosmology with Gaia data

Valeri V. Makarov, Asta Heinesen, Thomas Schücker

Measurements of tangential drifts of distant quasars and galactic nuclei on the celestial sphere provide a novel and independent method of testing cosmological hypotheses. In this…

astro-ph.CO2024★ 2 cited

Axial Bianchi I meets drifting extragalactic sources

Thomas Schücker

We recompute {\it ab initio} the drift of comoving sources in axial Bianchi I universes. Our result resolves the long-standing disagreement between the computations by Quercellini…

astro-ph.CO2016★ 39 cited

Power law cosmology model comparison with CMB scale information

Isaac Tutusaus, Brahim Lamine, Alain Blanchard +14

Despite the ability of the cosmological concordance model (CDM) to describe the cosmological observations exceedingly well, power law expansion of the Universe scale radius, $R(…

gr-qc2016

Einstein-Cartan, Bianchi I and the Hubble Diagram

Sami R. ZouZou, Andre Tilquin, Thomas Schucker

We try to solve the dark matter problem in the fit between theory and the Hubble diagram of supernovae by allowing for torsion via Einstein-Cartan's gravity and for anisotropy via…

gr-qc2015★ 15 cited

Minimal cosmography

Federico Piazza, Thomas Schucker

The minimal requirement for cosmography - a nondynamical description of the universe - is a prescription for calculating null geodesics, and timelike geodesics as a function of the…

gr-qc2012★ 1 cited

On a weak Gauss law in general relativity and torsion

Thomas Schucker, Sami R. ZouZou

We present an explicit example showing that the weak Gauss law of general relativity (with cosmological constant) fails in Einstein-Cartan's theory. We take this as an indication t…

astro-ph.CO2011★ 31 cited

Torsion, an alternative to dark matter?

Andre Tilquin, Thomas Schucker

We confront Einstein-Cartan's theory with the Hubble diagram. An affirmative answer to the question in the title is compatible with today's supernovae data.

astro-ph2005★ 2 cited

From Hubble diagrams to scale factors

Thomas Schucker, Andre Tilquin

We present a lower bound on the radius of the universe today and a monotonicity constraint on the Hubble diagram. Our theoretical input is Einstein's kinematics and maximally…

hep-th2003★ 139 cited

Moyal Planes are Spectral Triples

V. Gayral, J. M. Gracia-Bondía, B. Iochum +2

Axioms for nonunital spectral triples, extending those introduced in the unital case by Connes, are proposed. As a guide, and for the sake of their importance in noncommutative qua…

hep-th2001★ 21 cited

Remarks on Alain Connes' approach to the standard model

Daniel Kastler, Thomas Schucker

Our 1992 remarks about Alain Connes' interpretation of the standard model within his theory of non-commutative riemannian spin manifolds.

hep-th1997★ 64 cited

The standard model in noncommutative geometry and fermion doubling

J. M. Gracia-Bondia, B. Iochum, T. Schucker

The link between chirality in the fermion sector and (anti-)self-duality in the boson sector is reexamined in the light of Connes' noncommutative geometry approach to the Standard…

hep-th1995★ 37 cited

YANG-MILLS-HIGGS versus CONNES-LOTT

Bruno IOCHUM, Thomas SCHÜCKER

By a suitable choice of variables we show that every Connes-Lott model is a Yang-Mills-Higgs model. The contrary is far from being true. Necessary conditions are given. Our analysi…

hep-th1994★ 16 cited

A Left-Right Symmetric Model a la Connes-Lott

Bruno Iochum, Thomas Schucker

We present a left-right symmetric model with gauge group in the Connes-Lott non-commutative frame work. Its gauge symmetry is broken spontaneously, parity rem…