Hawking showed in 1974 that black holes emit thermal radiation - perfectly thermal, carrying no information about what fell in. As the black hole evaporates, information is apparently destroyed. This violates quantum mechanical unitarity - one of the most fundamental principles of physics. The information paradox has been one of theoretical physics' central problems for fifty years.
BFUT Paper 26 dissolves it by removing the singularity.
Why the Singularity Creates the Paradox
With a singularity, all infalling matter is compressed to an infinite-density point. There is no physical structure to store information about what fell in. The matter is structurally annihilated. The only output - Hawking radiation - is thermal. Information is destroyed. Unitarity violated.
Remove the singularity and the paradox dissolves immediately. The finite-core compact object is a physical structure with definite organisation. The information about infalling matter is encoded in the structure of the core - in the organisation of the substrate condensations constituting the high-density region. The information is not destroyed. It is scrambled but physically present.
The Resolution
Hawking radiation is the thermal emission of the finite-core compact object at its Hawking temperature. As the object radiates and loses mass, the core gradually reorganises. The information about infalling matter is gradually encoded in the quantum correlations of the emitted radiation - not as obvious classical information, but as quantum correlations that preserve unitarity in principle. This is analogous to burning a book: the information appears destroyed but is encoded in the correlations of smoke and ash - practically inaccessible but in principle recoverable. Unitarity is preserved. The information paradox required the singularity to exist. Remove the singularity - as the substrate physics of Paper 26 requires - and the paradox does not arise.
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