Why is the Hawking temperature not intensive? (Examples of intensive properties include temperature) Landsberg
even claimed that the intensity and extensive properties and their relations should be considered the fourth law of thermodynamics.
Also why do GR give exactly the same escape velocity as Newton approximation? The Newton approximation can clearly only hold in weak field, as it is derived from kinetic energy approximation that only holds for v<<c. This give absurd things such as one get gravitation acceleration field of a super massive black hole at the Schwarzschild radius to close to zero, one can jump 10000 meter off the surface, but yes still the theory claim one need escape velocity c (sure one are looking at infinite horizon), still it is absurd. So no corrections for a Newton weak field escape velocity approximation in a strong gravity field? absurd!
The Hawking Temperature Intensive Crisis and a Possible Solution that Leads to an Intensive Schwarzschild Surface Temperature
Under atomism we must have intensive temperature for all maximum densely packed objects, of course there are no holes where all the mass is in a point without spatial dimensions in the center.
PS we can yes find the Schwarzschild radius easily without any knowledge of G or the incomplete mass definition off modern physics. All one need is a beam of light and measure it at two altitudes in the gravitational field.
The Schwarzschild radius (well actually first derived in 1700) is very very important, but even if it have many of the mathematical properties of so called black-holes it has nothing to do with black holes. It is the reduced Compton frequency of the gravitational mass over the shortest possible time unit, in other words it is directly linked to collision space-time, which is the mass definition missing in modern physics.