[Richard777 (OP)]

If thermal energy is divided by wavelength, the result is a “thermal force”.
Force may be represented as a vector.
Plank Temperature, Hawking Temperature, and Kelvin Temperature may be associated with vectors of force.
Components may be called “thermal forces”.
The vectors may be called “thermal vectors”.
Do thermal vectors define temperature?

[yor_on]

A vector is something defined by a magnitude and a direction in space. The magnitude seems to exist but what would you mean by direction?

[Bored chemist]

If thermal energy is divided by wavelength, the result is a “thermal force”.

What wavelength would you use?
Thermal energy is characterised by a wide range of wavelengths.

[guest47899]

If thermal energy is divided by wavelength, the result is a “thermal force”.
Force may be represented as a vector.
Plank Temperature, Hawking Temperature, and Kelvin Temperature may be associated with vectors of force.
Components may be called “thermal forces”.
The vectors may be called “thermal vectors”.
Do thermal vectors define temperature?

your question highlights the impediments of unifying standard physics with quantum, language.  The terms and functions used to quantify precise measurements, are at odds with quantum properties. Vector definition is an examples. The irony is that in quantifying even the minutest characteristics of standard physics you have definitions that can not be applicable to quantum. In a further twist, these standard physic's definitions are restricted for being applicable to possible corresponding quantum functions. Quantum requires larger and grander definitions than are applicable in standard physics, the micro needs larger definitions to be applicable in macro standard physic's terminology. . For instance vector in standard physics is a unidirectional descriptive term, it proves true in the macro sense; however quantum is a multidirectional dimension. So, when describing vector in quantum, a larger definition for direction is needed. In quantum, spin being multidirectional requires a greater version definition for an angular momentum vector. Vector in quantum should incorporate a definition of "outward" as a direction for a 360 degree scalar force. This would allow a temperature vector to be considered as a measurable quantity.

Being able to measure temperature force in quantum would be a step in the right direction to producing a unifying theory for quantum and standard physics. to reiterate, larger expanded definitions for standard physic terms when discussing quantum physics, so as, to produce functions that can be used to develop a common language between quantum and standard physics.