Sunday, February 01, 2015

On an epic journey of Science: Interstellar 1

Whether you actually agree with the science or not, Interstellar is generally considered a masterpiece. A visual treat with truly great acting and story. But that is not all Interstellar is. The visual treatment of the blackhole isn’t made out of pure imagination, though the depiction is unlike anything ever seen. The truth is it’s due to interstellar, this visual form of Interstellar was discovered. The movie actually lended itself in making of two research papers by Caltech physicist Kip Thorne one for the astrophysicist community and one for the computer graphics community, who worked as a scientific consultant for the film. I will divide this into two parts – one explaining the science used in wormholes, and the other in the blackhole.

Let’s begin with the wormhole used in the movie for interstellar travel. Before Interstellar, any and all movies depicted a wormhole as a flat circular hole in space. But under the supervision on Kip Thorne, Christopher Nolan sought to correct that. It has always been theorized that a wormhole is a spherical hole in space-time. It is because the three dimensional universe of ours is connected by extending a singularity on both sides through the fourth dimensional space called bulk, thus any tear connecting two points in our universe have to be a spherical hole. Let’s understand this by simple graphics, of course it is impossible to represent a four dimensional space here so this graphic would use a simple trick of collapsing a dimension like we do in our eg sheets.

To understand how two singularities connect two points in space time, we must first understand how a singularity works. According to Einstein at a point in space, the presence of mass means presence of gravity. Gravity effects the local space time of its surrounding region. So when infinite density is present a point it extends the local space into the bulk, as if it were made of rubber sheet giving it a cone like projection with the tip being the singularity where the gravity and mass become infinite and time almost doesn’t exist. Such infinite mass is achieved naturally in the universe when a star collapses into itself where its mass gets concentrated in almost negligible volume, giving it almost infinite density. Let’s understand this now.

If the universal plane was considered folded, and the two singularities were extended into each other, they will form a tunnel through bulk and a shortcut through space time will be created and anyone in the plane can fall through one opening of the tunnel to reach the other end quickly. So this can be viewed as this.


Now we were understanding the model of a wormhole with one dimension collapsed with our universe visualized as 2D plane, and the opening mouth of the wormhole as a circular flat hole. But since the universe is actually three-dimensional, the opening of the wormhole would also be three dimensional and would be a spherical hole in the space. Exactly as depicted by Interstellar.

For the computer graphics team behind Interstellar, this proved to be a problem, to depict a spherical hole out of pure imagination, so the visual effects supervisor of the Interstellar team asked for help from Kip Thorne not wanting to compromise the accuracy of depiction of the phenomenon in the film, who provided him with general equations which would help the team trace behavior of light rays around a wormhole.

The first thing they made out was that light wouldn’t behave classically around a wormhole, which is it won’t travel in a straight line. Any of the rendering software available at the time wasn’t able to do so, so the CGI team had to write a completely new renderer which would be able to do so based on the equations provided by Thorne, and then rendered the wormhole. The result turned out to be nothing like what anyone could visualize. The wormhole was like a crystal ball reflecting the universe, a spherical hole in spacetime. The reflection of space if the wormhole was viewed in person would be of the space at the other end of the wormhole. This is the most accurate depiction of wormhole ever and gave new insights into the phenomenon to Kip Thorne who helped design it.

The wormhole depicted in the film is 2.5 miles in diameter and connects two points in space nearly ten billion light years apart. The most interesting part is that it accurately said to be placed there by someone, i.e. it’s not a natural phenomenon because such a merger of two singularities in the bulk is not possible without some external force which is in this case humans from far future and this information is neatly integrated into the story. 

I’ll explain the same beautiful and accurate science behind the science of the blackhole Gargantua and the relative passage of time depicted in the movie in the next part. Till then watch this space for other great articles.



Credits:

The Science of Interstellar - Kip Thorne.

Wrinkles in Space Time, The Warped astrophysics of Interstellar – Adam Rogers [Wired.com]

The Science of ‘Interstellar’ Explained – [Space.com]

 

[Credits: Atul Aditya]

Treading into the realms of life, Discovering myself.