To make the perfect mirror, physicists confront the mystery of glass
quantamagazine.org
quantamagazine.org
Let's assume a 40kg super mirror was made from the same base silica[1]/tantala[2] substrate as the legacy mirror. Let's also assume 50% distribution by mass.
That's a (20kg/60.08g/mol)+(20kg/441.893g/mol) ~= 378.1mol tetris endgame.
So if we took this analogy quite literally and wanted to build 1 mirror in 10 years, you'd have to play precision atomic tetris a mere 17 orders of magnitude faster than this guy[3].
Not going to lie...sure does make watching grass grow sound a lot more pragmatic.
[1] https://en.wikipedia.org/wiki/Silicon_dioxide
Probably plenty of seemingly sci-fi technologies.
There are newer options, but this is basically the beginning of post-Feynman Nanotechnology.
Version 2.0 (2007) of the book is a free PDF: https://web.archive.org/web/20140810022659/http://www1.appst...
Source: My PhD is in Materials Science
Update: there's a lot more information here (though it is about the Advanced LIGO concept), but I don't think it addresses the failings of a prism arrangement directly:
https://iopscience.iop.org/article/10.1088/0264-9381/34/1/01...
So I guess that means the "perfect" mirror must be bound by strong forces.
Some massive improvements to mirror making techniques were derived from the construction.
> ideal glass are theoretically packed together in the densest possible random arrangement
Why would you want it to be random at all?
When there is enough entropy/complexity/randomness the electrons have no state that they can jump to of a similar range of energy to the frequencies of light that you would like the glass to be transparent to.
[1] https://www.quantamagazine.org/ideal-glass-would-explain-why...
To put it simply two-level systems (TLS) are groups of atoms in a disordered solid that present two stable configurations, that is two physical states of similar potential energy separated by a small energy barrier. The barriers need to be small for it to be overcome by thermal fluctuation alone and thus for the TLS to resonate at a frequency close to the frequency of interest.
If you are interested by what exactly are these TLSs at the atomic level, have a look at this paper: https://journals.aps.org/prb/pdf/10.1103/PhysRevB.97.014201