and that would be a lower limit, of course, since on average, photons are not going to all execute their random walks in the outward radial direction. I've seen calculations that range from 10,000 to 170,000 years in the literature; the Open Source Physics site has a Java executable that does the calculation, and allows the user to input values for various parameters here
; a short discussion at a NASA site,here
, based on a shell model of the solar interior (see here
My question is why Tyson didn't correct the writers on the 10 million year escape time? Surely he would know how the calculation works and what realistic models produce. It also would have been a good talking point on how physicists build models and evaluate them.
They could have even used the OSP computation model to illustrate the process. This is why I always tell my non-scientist friends to not get their science education from TV documentaries :)