Strength of gravity in asymptotic safe gravity

[kodama]

in classical GR the strength of gravity increase to infinity as mass increases and distance decrease.

in classical GR a black hole consists of an event horizon, and a singularity of infinite density and point-size inside the black hole.

in LQG/LQC strength of gravity eventually becomes repulsive near Planckian densities leading to predictions of a Planck star at the center of a black hole

in string/m theory gravity results in a fuzz ball at Planckian densities

how does strength of gravity in asymptotic safe gravity behave as mass increases and distance decrease?

does it decrease then becomes repulsive at decreasing distance like color force in QCD which is also asymptotic safe ?

how does this affect predictions of black hole singularities ?

i.e if gravity behaves like gravity in asymptotic safe gravity, what is at the center of a black hole?

 

[nikkkom]

in classical GR the strength of gravity increase to infinity as mass increases and distance decrease.

in classical GR a black hole consists of an event horizon, and a singularity of infinite density and point-size inside the black hole.

in LQG/LQC strength of gravity eventually becomes repulsive near Planckian densities leading to predictions of a Planck star at the center of a black hole

in string/m theory gravity results in a fuzz ball at Planckian densities

how does strength of gravity in asymptotic safe gravity behave as mass increases and distance decrease?

In general, the term "asymptotic safety" means that interaction strength tends to a finite fixed value as distance goes to 0. Thus, a theory with any such finite value (positive, negative or zero) is asymptotically safe.

However, theories with zero strength are usually called "asymptotically free" (as it is a much nicer property). Normally, "asymptotically safe gravity" theories have a non-zero, usually positive, value.

 

[kodama]

In general, the term "asymptotic safety" means that interaction strength tends to a finite fixed value as distance goes to 0. Thus, a theory with any such finite value (positive, negative or zero) is asymptotically safe.

However, theories with zero strength are usually called "asymptotically free" (as it is a much nicer property). Normally, "asymptotically safe gravity" theories have a non-zero, usually positive, value.

in LQC gravity goes to zero then becomes repulsive, is this also "asymptotic safety"

so in"asymptotically safe gravity" theories depending on that non-zero, usually positive, value, it's possible either black holes do not form from stellar collapse, or if they do form, something like a neutron star or quark star or new state of matter is inside the black hole, if gravity doesn't continue to grow stronger and isn't able to overcome pauli exclusion principle among fermions, instead of a singularity in classical GR