Then provide a link that proves it, Ed.
as has been shown to you many times before, according to the TLoT, there is no temperature at which all motion stops, therefore no thermal equilibrium.
You have a hard time understanding infinity.
Where’s you link?
Thermal equilibrium is a mathematical concept only, not a reality!!!!
Third Law of Thermodynamics
The Third Law of Thermodynamics refers to a state known as "absolute zero." This is the bottom point on the Kelvin temperature scale. The Kelvin scale is absolute, meaning 0° Kelvin is mathematically the lowest possible temperature in the universe. This corresponds to about -273.15° Celsius, or -459.7 Fahrenheit.
In actuality, no object or system can have a temperature of zero Kelvin, because of the Second Law of Thermodynamics. The Second Law, in part, implies that heat can never spontaneously move from a colder body to a hotter body. So, as a system approaches absolute zero, it will eventually have to draw energy from whatever systems are nearby. If it draws energy, it can never obtain absolute zero.
So, this state is not physically possible, but is a mathematical limit of the universe.