As it happens, the renowned scholar Frank J at
http://www.imao.us/ addressed this issue the other day.
Here is his response to a reader question:
Q:
Robert J. from Gusev Crater, Mars asks:
Is the "Planck time" in any way like "Miller time"?
A:
As we all know, a Planck time is the time it takes a photon going at the speed of light to travel a Planck length. Just to remind you, a Planck length is the scale at which classical ideas about gravity and space-time cease to be valid. This is equal to 1.6x10^-35 meters. It takes a photon 10^-43 seconds to travel this length, and thus 10^-43 is the smallest unit of time that has any actual meaning in physics as we understand it today.
In the end, Planck time is a measurement of time, while the lesser-known Miller time expresses a condition of matter and is not an actual measurement. Miller time is reached with enough proton, electrons, and neutrons come together to form something referred to by physicists as a "fat party animal" which then proceeds to drink beer and dance around. This condition lasts for many times that of Planck time, and has undesirable aftereffects the morning after.
Thanks for the post. I know science well enough, and have been experimenting long enough, to know that after Miller time sleep takes place in Planck time.