Question about conservation of information in a black hole?

In summary, the information of an object falling into a black hole is conserved through the holographic principle, where the object's information is projected onto the surface area of the black hole until it evaporates. The initial mass of the star at the singularity is conserved in the form of gravitational energy, which is stored in the black hole's event horizon and released through Hawking radiation upon evaporation.
  • #1
zeromodz
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I understand that any information of an object falling into a black hole is conserved because the object asymptotically approaches the singularity leaving all the information at the surface area of the black hole until it evaporates. This is known as the holographic principle that three dimensional object information can be projected in two dimensions. My question is, how is information conserved with the initial mass at the singularity. The holographic principle only seems to save the conservation of information for things falling into the black hole after it formed. What the initial mass of the star at r = 0 or r ~ 0, right before the collapse. The black hole was born from that matter so it is actually inside the black hole to begin with. It has no connection with the surface area of the black hole. How on Earth could information be conserved here?
 
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  • #2
The initial mass of the star is conserved at the singularity, but in a different form. At the singularity, the mass-energy of the star is converted into gravitational energy, which is then stored in the black hole's event horizon (the boundary of the black hole). This gravitational energy can be released when the black hole evaporates, and the energy is then emitted as Hawking radiation. As such, the information contained in the initial mass of the star is preserved, albeit in a different form.
 

1. What is the conservation of information in a black hole?

The conservation of information in a black hole refers to the principle that all information that enters a black hole must be preserved and cannot be destroyed. This is based on the laws of physics, particularly the laws of thermodynamics.

2. How does the conservation of information apply to black holes?

The conservation of information applies to black holes because they have an event horizon, which is the point of no return for anything that enters the black hole. This means that once something enters a black hole, it cannot escape and all information about it must be preserved within the black hole.

3. What is the information paradox in black holes?

The information paradox in black holes refers to the conflict between the conservation of information and the theory of black hole evaporation. According to the theory of black hole evaporation, black holes slowly lose mass and eventually disappear, taking any information with them. This contradicts the principle of conservation of information.

4. How is the information paradox being studied?

The information paradox is being studied through various theoretical and experimental approaches. These include quantum mechanics, string theory, and experiments using particle accelerators and telescopes. There is ongoing research and debate in the scientific community about the resolution of the information paradox.

5. What are some proposed solutions to the information paradox in black holes?

Some proposed solutions to the information paradox include the holographic principle, which suggests that information about objects entering a black hole is stored on its surface, and the firewall hypothesis, which proposes that the event horizon is replaced by a "firewall" that destroys information as it enters the black hole. Other solutions involve modifications to existing theories, such as the introduction of new particles or modifications to the laws of quantum mechanics.

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