Visualizing cosmological time

Time is a critical aspect of visualization systems that invoke dynamic simulations and animation. Dealing with time at the scales required to conceptualize astrophysical and cosmological data, however, introduces specialized problems that require unique approaches. In this paper, we extend our previous investigations on interactive visualization across extremely large scale ranges of space to incorporate dynamical processes with very large scale ranges of time. We focus on several issues: time scales that are too short or too long to animate in real time, those needing complex adjustment relative to the scale of space, time simulations that involve the constant finite velocity of light (special relativity) in an essential way, and those that depend upon the dynamics of the coordinate system of the universe itself (general relativity). We conclude that a basic strategy for time scaling should ordinarily track the scaling of space chosen for a particular problem; e.g., if we are adjusting the interactive space scale, we scale time in a similar way. At cosmological scales, this has the interesting consequence that the time scale adjusts to the size of each era of the universe. If we make a single tick of the viewer’s clock correspond to an enormous time when viewing an enormous space, we see motions in viewer’s time of increasingly larger, and usually appropriate, scales. Adding interactive time-scale controls then permits the user to switch the focus of attention among animations with distinctly different time features within a single spatial scale. Objects may have an entire time hierarchy of alternate icons, with different representations for different time-step scales, exactly analogous to the choice of spatial level-of-detail models.

[1]  Charles Eames,et al.  Powers of ten , 2005 .

[2]  Peter Shirley,et al.  Visual navigation of large environments using textured clusters , 1995, I3D '95.

[3]  Michael W. McGreevy,et al.  Methods for user-based reduction of model complexity for virtual planetary exploration , 1993, Electronic Imaging.

[4]  Doi,et al.  The Discovery of a High-Redshift Quasar without Emission Lines from Sloan Digital Sky Survey Commissioning Data , 1999, The Astrophysical journal.

[5]  Deyang Song,et al.  Looking in, looking out: Exploring multiscale data with virtual reality , 1994, IEEE Computational Science and Engineering.

[6]  Chi-Wing Fu,et al.  Very Large Scale Visualization Methods for Astrophysical Data , 2000 .

[7]  James S. Trefil,et al.  Constructing the universe , 1984 .

[8]  William H. Press,et al.  The Cosmological constant , 1992 .

[9]  Kees Boeke,et al.  Cosmic View: The Universe in 40 Jumps , 1957 .

[10]  Eric A. Wernert,et al.  Constrained 3D navigation with 2D controllers , 1997, Proceedings. Visualization '97 (Cat. No. 97CB36155).

[11]  D. E. Stevenson A critical look at quality in large-scale simulations , 1999, Comput. Sci. Eng..

[12]  Martin Reddy,et al.  Perceptually modulated level of detail for virtual environments , 1997 .

[13]  Jeremiah P. Ostriker,et al.  Cosmology of the early universe viewed through the new infrastructure , 1997, CACM.

[14]  George Gamow,et al.  Mr. Tompkins in paperback , 1966 .

[15]  George Gamow,et al.  The New World of Mr Tompkins: George Gamow's Classic Mr Tompkins in Paperback , 2001 .

[16]  G. Lazarides Introduction to Cosmology , 1999 .

[17]  J. Huchra,et al.  Mapping the Universe , 1989, Science.

[18]  Peter Astheimer,et al.  Level-of-detail generation and its application in virtual reality , 1994 .

[19]  ROBERT E. Williams,et al.  The Hubble Deep Field: Observations, Data Reduction, and , 1996, astro-ph/9607174.