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Visualizing Interstellar's Wormhole

James, Oliver and von Tunzelmann, Eugénie and Franklin, Paul and Thorne, Kip S. (2015) Visualizing Interstellar's Wormhole. American Journal of Physics, 83 (6). pp. 486-499. ISSN 0002-9505. https://resolver.caltech.edu/CaltechAUTHORS:20150611-102023395

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Abstract

Christopher Nolan's science fiction movie Interstellar offers a variety of opportunities for students in elementary courses on general relativity theory. This paper describes such opportunities, including: (i) At the motivational level, the manner in which elementary relativity concepts underlie the wormhole visualizations seen in the movie; (ii) At the briefest computational level, instructive calculations with simple but intriguing wormhole metrics, including, e.g., constructing embedding diagrams for the three-parameter wormhole that was used by our visual effects team and Christopher Nolan in scoping out possible wormhole geometries for the movie; (iii) Combining the proper reference frame of a camera with solutions of the geodesic equation, to construct a light-ray-tracing map backward in time from a camera's local sky to a wormhole's two celestial spheres; (iv) Implementing this map, for example, in Mathematica, Maple or Matlab, and using that implementation to construct images of what a camera sees when near or inside a wormhole; (v) With the student's implementation, exploring how the wormhole's three parameters influence what the camera sees—which is precisely how Christopher Nolan, using our implementation, chose the parameters for Interstellar's wormhole; (vi) Using the student's implementation, exploring the wormhole's Einstein ring and particularly the peculiar motions of star images near the ring, and exploring what it looks like to travel through a wormhole.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1119/1.4916949DOIArticle
http://scitation.aip.org/content/aapt/journal/ajp/83/6/10.1119/1.4916949PublisherArticle
http://arxiv.org/abs/1502.03809arXivDiscussion Paper
Additional Information:© 2015 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution 3.0 Unported License. Received 27 November 2014 Accepted 24 March 2015. For extensive advice on our wormhole visualizations, the authors thank Christopher Nolan. For contributions to DNGR and its wormhole applications, the authors thank members of the Double Negative R&D team Sylvan Dieckmann, Simon Pabst, Shane Christopher, Paul-George Roberts, and Damien Maupu; and also Double Negative artists Zoe Lord, Fabio Zangla, Iacopo di Luigi, Finella Fan, Tristan Myles, Stephen Tew, and Peter Howlett. The construction of our code DNGR was funded by Warner Bros. Entertainment Inc., for generating visual effects for the movie Interstellar. The authors thank Warner Bros. for authorizing this code's additional use for scientific research and physics education, and in particular the work reported in this paper.
Group:TAPIR
Funders:
Funding AgencyGrant Number
Warner Bros. Entertainment Inc.UNSPECIFIED
Issue or Number:6
Record Number:CaltechAUTHORS:20150611-102023395
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20150611-102023395
Official Citation: Visualizing Interstellar's Wormhole Oliver James, Eugénie von Tunzelmann, Paul Franklin and Kip S. Thorne Am. J. Phys. 83, 486 (2015); http://dx.doi.org/10.1119/1.4916949
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:58189
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:11 Jun 2015 19:38
Last Modified:03 Oct 2019 08:33

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