[Richard777 (OP)]

A massive object is assumed to impose a “deformation” upon surrounding space. Deformed space may be represented as a “radial field” of acceleration. A radial field of acceleration defines acceleration in a spherical region of space surrounding a spherical, stationary, massive object. If the object remains unchanged over time the acceleration field remains unchanged. A radial field assumes that all points on the surface of a spatial region surrounding the object have the same magnitude of acceleration, and different radial directions.

Acceleration may be represented as a “radial vector” connecting the center of the object to any surrounding point in space. Examples of radial acceleration are the “Newton gravitational field”, and the “Coulomb electro-static field”. These are scalars of acceleration, and represent the magnitude of a “radial vector” of acceleration. The vector tail is located at the center of the object and it can point in any direction away from the object.

A “Hawking field” may be represented as a radial vector, and is associated with Hawking temperature. If the components are suitably defined, and if one condition applies then the components will give the definition of Hawking temperature and length contraction.
See reference attached.

Can Hawking temperature be associated with a radial field?

[alancalverd]

A condition is required for emission; A₁ = A₂

But  the necessary "condition" is not substantiated.

"vibrational velocity" is not defined

the definition of g₅  is only valid if v₁ = c and r = r_s, which have no meaningful physical interpretation

and so forth. But 10/10 for neatness, as always.