Does the value of Planck time vary in a Black Hole Event Horizon?
Résumé
This paper considers the assumption that Planck time and length values increase in gravitational wells, an effect that becomes more extreme in a black hole’s event horizon. Obviously, this assumption considers the point of view of an observer who is far away from the gravity well and not able to feel the effects predicted by the Schwarzschild equation, as opposed to an observer in the well for who the values of these Planck constants remain unchanged.
If physicists can accept that the Schwarzschild equation describes effects that are applicable to Planck time and Planck length, they will see that in a black hole´s event horizon the value of Planck length grows to the size of the event horizon. Thus, in terms of Planck length, every black hole (no matter its mass) has an event horizon radius that is always the same size, which is equal to one Planck length.
These authors believe that these considerations are fundamental in the development of a new theory that can effectively unite quantum mechanics with general relativity. The first step in this direction is to break the basic paradigm that considers that Planck constant values (Planck time and Planck length) are always constant, regardless of the location of the observer, which comes into direct confrontation with the Schwarzschild equation. Also, keeping in mind that time dilatation and space shrink effects, given by the Schwarzschild equation, depend on the observer´s position.