Black hole entropy reveals a 12th "dimension"

TL;DR

This paper suggests that black hole entropy in string theory hints at a hidden 12th dimension and a broader concept of spacetime, involving extended superalgebras beyond traditional frameworks.

Contribution

It proposes that black hole entropy reveals a 12th dimension and indicates a larger spacetime structure linked to extended superalgebras in string theory.

Findings

Black hole entropy exhibits symmetries involving a 12th (or 13th) dimension.

The underlying superalgebra may include Lorentz non-scalar extensions.

Spacetime may be more extensive than traditionally conceived, with a larger structure embedded in black holes.

Abstract

The Beckenstein-Hawking black hole entropy in string theory and its extensions, as expressed in terms of charges that correspond to central extensions of the supersymmetry algebra, has more symmetries than U-duality. It is invariant under transformations of the charges, involving a 12th (or 13th) ``dimension''. This is an indication that the secret theory behind string theory has a superalgebra involving Lorentz non-scalar extensions (that are not strictly central), as suggested in S-theory, and which could be hidden in M- or F- theories. It is suggested that the idea of spacetime is broader than usual, and that a larger ``spacetime" is partially present in black holes.