Solution to Black hole Information Paradox

The escape velocity for black holes is that of speed of light.

Also, the limit of velocity of matter-energy (force) is the speed of light.

Gravitons as gravitation cannot exceed the speed of light, making gravitons (carriers of gravitational force) unable to cross the event-horizon of a black hole. Thus allowing no gravitational interaction. In other words no gravitational force can be felt outside event horizon.

The conclusion in reality is in disagreement with the given hypothetical premise.

The solution: If the gravitons cannot come from the interior-region of black hole enclosed by event horizon-it can from the immediate exterior.

Explanation/elaboration: Due to quantum fluctuation in space-time near event horizon, the photon-graviton pair is formed. The existing idea is that graviton gets through the event horizon and falls into the black hole, and photon drifts away in the form of Hawking radiation.

While this phenomenon occurs, so does the opposing phenomenon, in which the photon falls into the black hole through event horizon carrying mass to the black hole and graviton drifts away carrying gravitational force causing gravitational interaction.

The existing idea of graviton falling into black hole reducing its mass and photon appearing as Hawking radiation causes black holes to eventually evaporate. Also, as the mass of black hole decreases, so does the gravitational force around both the singularity and event-horizon or around the entire black hole. This causes event horizon surface to get smaller resulting in contact of event-horizon surface with immediate exterior surface getting lesser, and thus decrease in contact with number of photon-graviton pair formation. This causes less gravitons falling into black hole and lesser photons drifting away (less Hawking radiation). Thus the decrease in mass of black hole gets smaller with each decrease in mass. Thus evaporating of black hole slows down. Eventually, this results in event horizon getting smaller and becoming identical to singularity- a zero (point) space region. Now, the time that takes for the evaporation of this singularity is infinite as it has zero surface.

While the idea of photon falling into black hole and graviton getting away carrying gravitation causes black hole to get heavier. Also, as the black hole gets heavier, the intensity of gravitons must also increase. And given that gravitons evolving only outside the event horizon causes exterior gravitational interaction, the intensity of photon-graviton pair must also increase resulting in eventual exponential growth in both mass and gravitational force. This also requires quantum fluctuation in space-time be the function of black hole’s mass change or vice-verse. The other way around is that as the black holes mass increases, so does the surface area of event horizon and this increases the contact with larger immediate exterior surface allowing contact with more photon-graviton pairs resulting in more Hawking radiation and eventual exponential increase in mass of black hole.

When combined, the two ideas yield a steady (neither increasing nor decreasing) black hole.  But yes the amount of Hawking radiation is however related to the strength of black hole’s gravitation and the area as well.

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