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Dr. Thomas Müller

Dr. Thomas Müller

Office: VISUS-Gebäude 00.005

Universität Stuttgart
Allmandring 19
70569 Stuttgart

Phone Number: +49 (711) 685-88635

Telefax Number: +49 (711) 685-88620

E-Mail Address: thomas.mueller@vis.uni-stuttgart.de

Find me on  GoogleScholar or ResearchGate.

I moved to the "Haus der Astronomie" in Heidelberg (Email: id[at]mpia.de, id=tmueller).

Research

Special-relativistic visualization


General-relativistic visualization


Applications for physics education

Java applications:

Qt applications

WebGL applications


Geomorphology visualization


Other visualizations




Relativistic projects

Click on an image to go to the project site:
Catalogue of Spacetimes Motion-4D library GeodesicViewer GeoViS

Android applications

Click on an image to go to Google Play Store...

Simulate a mathematical double pendulum on your Android device.
Mathematical and implementation details can be found here.

Simulate Brownian motion with particles that interact only by elastic collision. Change the simulation parameters in the preference settings. Use the gravity sensor for an additional force. Select between 5 different predefined parameter settings where the yellow particle has X times the mass of the other particles.

Simulate a thin accretion disk around a black hole on your Android device. The visualizations are based on Einstein's general theory of relativity for a Schwarzschild black hole. The apparent distortion of the disk is due to light rays that follow the curved spacetime.

Details and a Qt-based application can also be found here.

A black hole is the most weird object in the universe. An object that passes behind it appears strongly distorted because of the black hole's influence on light propagation. Turn your smart phone or tablet into a general relativistic simulator and move the black hole around.

Have you ever wondered about how the world around you would look like if you could travel with nearly the speed of light? Turn your smart phone or tablet into a special relativistic simulator and watch buildings around you apparently deform the faster you move.

Mathematica demonstrations

Clicking on the thumbnail brings you to the Mathematica Demonstrations web site.

Supervised thesis (closed)

 

Publications

S. Boblest, T. Müller, G. Wunner
Spezielle und allgemeine Relativitätstheorie -- Grundlagen, Anwendungen in Astrophysik und Kosmologie sowie relativistische Visualisierung
SpringerSpektrum-Verlag (2015)
DOI: 10.1007/978-3-662-47767-0
Details, Videos und interaktive Applikationen finden Sie hier.

2016

T. Müller and O. Fechtig
Empirical exploration of timelike geodesics around a rotating wormhole
American Journal of Physics 84, 373-383 (2016)
DOI: 10.1119/1.4943250
Accompanying python scripts can be found here.
Featured article, cover image
Preprint: [pdf].

2015

T. Müller
Image-based general-relativistic visualization
European Journal of Physics 36, 065019 (2015)
DOI: 10.1088/0143-0807/36/6/065019
Details and the software can be found here.

T. Müller, S. Boblest and D. Weiskopf
Visualization Showcase: General-Relativistic Black Hole Visualization
Eurographics Symposium on Parallel Graphics and Visualization (2015).
DOI: 10.2312/pgv.20151152

T. Müller and F. Sadlo
Visual exploration of 2D autonomous dynamical systems
European Journal of Physics 36, 035007 (2015).
DOI: 10.1088/0143-0807/36/3/035007
Preprint: arXiv:1503.07137 [physics.ed-ph]
Details and the software can be found here.

2014

E. Beckenbach, T. Müller, H. Seyfried, T. Simon
Potential of a high-resolution DTM with large spatial coverage for visualization, identification and interpretation of young (Würmian) glacial geomorphology
Quaternary Science Journal 63, 107-129 (2014)
DOI: 10.3285/eg.63.2.01

M. W. Rasser, G. Schweigert, E. Beckenbach, and T. Müller
The Miocene Randeck Maar (SW Germany): Geological compilation and census of scientific excavations
N. Jb. Geol. Paläont. Abh. 274/2-3, 209-218 (2014)
DOI: 10.1127/njgpa/2014/0436

T. Müller and S. Boblest
Visual appearance of wireframe objects in special relativity
European Journal of Physics 35, 065025 (2014)
DOI: 10.1088/0143-0807/35/6/065025
Preprint: arXiv:1410.4583 [physics.comp-ph]
Details and the accompanying scripts can be found here.

G.M. Machado, F. Sadlo, T. Müller, T. Ertl
Escape Maps
IEEE Transactions on Visualization and Computer Graphics 20, 2604-2613 (2014).
(Proceedings of IEEE SciVis 2014)
DOI: 10.1109/TVCG.2014.2346442

G. Reina, T. Müller, T. Ertl
Incorporating Modern OpenGL into Computer Graphics Education
IEEE Computer Graphics and Applications 34, 16-21 (2014).
DOI: 10.1109/MCG.2014.69
Details and the software can be found here.

T. Müller
GeoViS – Relativistic ray tracing in four-dimensional spacetimes
Computer Physics Communication 185, 2301-2308 (2014).
DOI: 10.1016/j.cpc.2014.04.013
Details and the software can be found here.

T. Müller
Motion4D-library extended (New Version Announcement - 3)
Computer Physics Communications 185, 2798-2799 (2014)
DOI: 10.1016/j.cpc.2014.04.020

T. Müller
MPPhys – A many-particle simulation package for computational physics education
Computer Physics Communication 185, 1100-1108 (2014).
DOI: 10.1016/j.cpc.2013.11.018
Preprint: arXiv:1403.1695 [physics.ed-ph]
Details and the software can be found here.

2013

E. Beckenbach, T. Müller und T. Simon.
Die Fränkische Furche im 3D-Geländemodell.
Dritter Band der Reihe „Sonderbände der Gesellschaft für Naturkunde in Württemberg”.
Gedenkband Walter Carlé, Hrsg. Theo Simon, http://d-nb.info/1050750853

T. Müller
Numerical Chladni figures
European Journal of Physics 34, 1067-1074 (2013).
DOI:10.1088/0143-0807/34/4/1067
Preprint: arXiv:1308.5523 [physics.ed-ph]
Details and the software can be found here.

A. Wünsch, T. Müller, D. Weiskopf, G. Wunner
Circular orbits in the extreme Reissner-Nordstrøm dihole metric
Physical Review D 87, 024007 (2013).
DOI: 10.1103/PhysRevD.87.024007

T. Müller, J. Frauendiener
Charged particles constrained to a curved surface
European Journal of Physics 34, 147-160 (2013).
DOI: 10.1088/0143-0807/34/1/147
Preprint: arXiv:1209.4184 [physics.class-ph]
Details and the software can be found here

2012

G.M. Machado, F. Sadlo, T. Müller, D. Müller, T. Ertl
Visualizing Solar Dynamics Data
Proceedings of International Workshop on Vision, Modeling and Visualization (VMV) 2012
Available as PDF

T. Müller and J. Frauendiener
Interactive visualization of a thin disc around a Schwarzschild black hole
European Journal of Physics 33, 955-963 (2012).
DOI:10.1088/0143-0807/33/4/955
Preprint: arXiv:1206.4259v1 [gr-qc]
Details and the software can be found here.

D. Kuchelmeister, T. Müller, M. Ament, Günter Wunner, Daniel Weiskopf
GPU-based four-dimensional general-relativistic ray tracing
Computer Physics Communications 183, 2282-2290 (2012).
DOI: 10.1016/j.cpc.2012.04.030

T. Müller and D. Weiskopf
Detailed study of null and time-like geodesics in the Alcubierre Warp spacetime
General Relativity and Gravitation 44, 509-533 (2012).
DOI: 10.1007/s10714-011-1289-0
High resolution images, several movies, and the interactive application can be found here.

F. Frutos-Alfaro, F. Grave, T. Müller, D. Adis
Wavefronts and Light Cones for Kerr Spacetimes
Journal of Modern Physics 3, 1882-1890 (2012).
DOI: 10.4236/jmp.2012.312237

2011

T. Müller and D. Weiskopf
General-Relativistic Visualization
Computing in Science & Engineering 13(6), 64-71 (2011).
DOI: 10.1109/MCSE.2011.105

T. Müller and D. Weiskopf
Special-Relativistic Visualization
Computing in Science & Engineering 13(4), 85-93 (2011).
DOI: 10.1109/MCSE.2011.68
Erratum: Fig.8 and p.87 ... "with 50 percent of the speed of light".

S. Boblest, T. Müller, G. Wunner
Twin Paradox in de Sitter Spacetime
European Journal of Physics 32, 1117-1142 (2011)
DOI: 10.1088/0143-0807/32/5/001
Preprint: arXiv:1009.3427 [gr-qc]

T. Müller, J. Frauendiener
Studying null- and time-like geodesics in the classroom
European Journal of Physics 32, 747-759 (2011)
DOI: 10.1088/0143-0807/32/3/011 [bib]
Preprint: arXiv:1105.0109v1 [physics.ed-ph]
Details and the software can be found here.

T. Müller
GeodesicViewer - A tool for exploring geodesics in the theory of relativity (New Version Announcement - 1)
Computer Physics Communications 182, 1382-1383 (2011)
DOI: 10.1016/j.cpc.2011.02.007
Details and the software can be found here [bib].

T. Müller
Motion4D-library extended (New Version Announcement - 2)
Computer Physics Communications 182, 1386-1388 (2011)
DOI: 10.1016/j.cpc.2011.02.009
Details and the software can be found here [bib].

T. Müller, S. Boblest
Visualizing circular motion around a Schwarzschild black hole
American Journal of Physics 79, 63-73 (2011).
DOI: 10.1119/1.3492722 [bib]
Some more information can be found here.

2010

T. Müller, S. Grottel, and D. Weiskopf
Special Relativistic Visualization by Local Ray Tracing
IEEE Transactions on Visualization and Computer Graphics 16(6), 1243-1250 (2010).
DOI: 10.1109/TVCG.2010.196 [bib]

T. Müller, D. Weiskopf
Distortion of the stellar sky by a Schwarzschild black hole
American Journal of Physics 78, 204-214 (2010).
DOI: 10.1119/1.3258282 [bib]
Some more information can be found here.
Announcement in New Scientist, physorg, spektrumdirekt

T. Müller, F. Grave
An updated version of the Motion4D library (New Version Announcement - 1)
Computer Physics Communications 181, 703 (2010)
DOI: 10.1016/j.cpc.2009.10.021 [bib]
Some more information can be found here.

T. Müller, F. Grave
GeodesicViewer - A tool for exploring geodesics in the theory of relativity
Computer Physics Communications 181, 413-419 (2010)
DOI: 10.1016/j.cpc.2009.10.010 [bib]
Some more information can be found here.

2009

Frank Grave, Michael Buser, Thomas Müller, Günter Wunner, Wolfgang P. Schleich
The Gödel universe: Exact geometrical optics and analytical investigations on motion
Physical Review D 80, 103002 (2009).
DOI: 10.1103/PhysRevD.80.103002  [bib]

T. Müller, F. Grave
Motion4D - A library for lightrays and timelike worldlines in the theory of relativity
Computer Physics Communications 180, 2355-2360 (2009)
DOI: 10.1016/j.cpc.2009.07.014  [bib]

Some more information can be found here.

T. Müller, F. Grave
Catalogue of Spacetimes
arXiv:0904.4184 [gr-qc]  [bib]

Some more information can be found here.

F. Grave, T. Müller, C. Dachsbacher, G. Wunner
The Gödel Engine - An interactive approach to visualization in general relativity.
Computer Graphics Forum (Proc. Eurovis 09), Vol. 28, No. 3, pp. 807--814
DOI: 10.1111/j.1467-8659.2009.01470.x  [bib]

N. Hamaus, T. Paumard, T. Müller, S. Gillessen, F. Eisenhauer, S. Trippe, and R. Genzel
Prospects for testing the nature of Sgr A*'s NIR flares on the basis of current VLT- and future VLTI-observations
The Astrophysical Journal 692, 902-916 (2009).
DOI: 10.1088/0004-637X/692/1/902  [bib]
Preprint: arXiv:0810.4947

2008

T. Müller
Analytic observation of a star orbiting a Schwarzschild black hole
General Relativity and Gravitation 41, 541-558 (2009).
DOI: 10.1007/s10714-008-0683-8 (online first, 2008)   [bib]

T. Müller
Einstein rings as a tool for estimating distances and the mass of a Schwarzschild black hole
Physical Review D 77, 124042 (2008)
DOI: 10.1103/PhysRevD.77.124042  [bib]
Reprint: PDF

T. Müller
Falling into a Schwarzschild black hole - Geometric aspects
General Relativity and Gravitation 40, 2185-2199 (2008).
DOI: 10.1007/s10714-008-0623-7  [bib]

T. Müller
Exact geometric optics in a Morris-Thorne wormhole spacetime
Physical Review D 77, 044043 (2008).
DOI: 10.1103/PhysRevD.77.044043  [bib]
Reprint: PDF

T. Müller, A. King, D. Adis
A trip to the end of the universe and the twin paradox
American Journal of Physics 76, 360-373 (2008).
DOI: 10.1119/1.2830528  [bib]
preprint: arXiv:physics/0612126

The JAVA applets and a short introduction can be found here.

H. Ruder, D. Weiskopf, H.-P. Nollert and T. Müller
How computers can help us in creating an intuitive access to relativity
New Journal of Physics 10, 125014 (2008).
DOI: 10.1088/1367-2630/10/12/125014  [bib]

2007

F. Grave, T. Müller, G. Wunner, T. Ertl, M. Buser, W. Schleich
Visualization of the Gödel Spacetime.
Proceedings of the 4th High-End Visualization Workshop, 2007   [bib]

2006

H. Ruder, H.-P. Nollert, T. Müller, M. Borchers
Visualization of relativistic effects
Proceedings of the 11th Marcel Grossmann Meeting on General Relativity, 2006   [bib]

T. Paumard, T. Müller, R. Genzel, F. Eisenhauer and S. Gillessen
Observing the flares of Sgr A* with the Very Large Telescope Interferometer
Proceedings of the 11th Marcel Grossmann Meeting on General Relativity, 2006   [bib]

F. Grave, F. Frutos-Alfaro, T. Müller, D. Adis
Wave fronts in General Relativity Theory
Proceedings of the 11th Marcel Grossmann Meeting on General Relativity, 2006   [bib]

D.Weiskopf, Sonja Bär, Marc Borchers, Thomas Ertl, Martin Falk, Oliver Fechtig, Regine Frank, Frank Grave, Peter Jezler, Andreas King, Ute Kraus, Thomas Müller, Hans-Peter Nollert, Isabel Rica Mendez, Hanns Ruder, Tobias Schafhitzel, Corvin Zahn, Michael Zatloukal.
Explanatory and Illustrative Visualization of Special and General Relativity.
In IEEE Transactions on Visualization and Computer Graphics 12, 522-534 (2006)   [bib]

2005

D. Weiskopf, Marc Borchers, Thomas Ertl, Martin Falk, Oliver Fechtig, Regine Frank, Frank Grave, Andreas King, Ute Kraus, Thomas Müller, Hans-Peter Nollert, Isabel Rica Mendez, Hanns Ruder, Tobias Schafhitzel, Sonja Schär, Corvin Zahn, Michael Zatloukal.
Visualization in the Einstein Year 2005: A Case Study on Explanatory and Illustrative Visualization of Relativity and Astrophysics.
IEEE Visualization 2005 Proceedings, October 2005   [bib]

T. Paumard, G. Perrin, A. Eckart, R. Genzel, P. L'ena2, R. Schödel, F. Eisenhauer, T. Müller, S. Gillessen
Scientific Prospects for VLTI in the Galactic Centre: Getting to the Schwarzschild Radius
Astron. Nachr. 326 (2005), 568   [bib]

2004

T. Müller.
Visual appearance of a Morris-Thorne-Wormhole.
American Journal of Physics 72, 1045-1050 (2004).
DOI: 10.1119/1.1758220   [bib]

Additional material: EPAPS: E-AJPIAS-72-014407

Visualizations in Popular-Science

Bild-, Video- und Softwarebeiträge in...
  • Einsteinausstellung im Stadthaus Ulm, März 2004 – August 2004.
  • Einsteinausstellung im Historischen Museum Bern, Juni 2005 – Oktober 2006.
  • Quarks & Co, “Schwerkraft - oder warum fällt der Stein?” Erstsendedatum: 06.12.2005 (WDR).
  • H. Muir, “New black hole simulator uses real star data.” NewScientist,09.02.2010,
    http://www.newscientist.com/article/dn18498-new-black-holesimulator-uses-real-star-data.html.
  • „Schwarzes Loch zum Selbersimulieren”, Spektrum.de, Bilder der Woche, 11.02.2010,
    http://www.spektrum.de/alias/bilder-der-woche/schwarzes-loch-zumselbersimulieren/1021861
Spektrum der Wissenschaft - Spezial 3/2005:
“Die relativistische Welt in Bildern - Was Einstein gerne gesehen hätte”.
R. Vaas,
“Tunnel durch Raum und Zeit” (Kosmos Verlag, 2005).
B. Bahr, J. Resag, K. Riebe,
“Faszinierende Physik – Ein bebilderter Streifzug vom Universum bis in die Welt der Elementarteilchen” (Springer Spektrum, 2013).