Cicero recorded that Archimedes had built a computer which was able to calculate the position of celestial bodies. 100 years ago the mechanism of Antikythera was found in an antique Roman shipwreck, confirming Cicero.
According to Pappus of Alexandria, Archimedes had explained this computer in a now lost book with the title "on sphere-making".
From a physics point of view, the Antikythera mechanism and the Linear Mirror are closely related:
the Antikythera mechanism shows the position of the celestial bodies in space as a function of time.
When you look from the focal region at the mirrors of a Linear Mirror system, it seems that there are many different suns in the sky at different positions, and moving in quite different ways in space and time. The Linear Mirror mechanism follows them.
Like the Antikythera mechanism, the Linear Mirror is a information processing system. The Linear Mirror does not provide energy by the application of a force (like a turbine or a motor), but by means of calculating the correct position for each mirror from one common clock function.
The state of the art correspondence to the Linear Mirror are the solar tower heliostat systems. They need two motors for each of their mirrors, which makes them very expensive and uneconomic at northern latitudes. The heliostat systems can be described by the Turing machine model in the framekwork of traditional inforamtion theory (Shannon).
The Linear Mirror is not a Turing machine, it is something more fundamental.