Black Hole Information & K3 Topology

Information Paradox & Microstate Structure

How K3 geometry might affect black hole information processing. Framework scope: exploratory - no area law changes, requires holographic dual.
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Black Hole Information Paradox - K3 Resolution

🔬” The Problem

Hawking radiation appears thermal and random, suggesting information is lost when matter falls into black holes. This violates quantum mechanics. The χ=24 framework proposes K3 surfaces preserve information through holographic encoding.

Speculative Microstate Effects

Standard Bekenstein-Hawking entropy:

$$S_{BH} = \frac{A}{4\ell_P^2}$$

Speculative note: Topology might leave subleading imprints in microstates. We make no change to the area law and no quantitative prediction.

If internal geometry affects the detailed structure of black hole microstates, this could potentially modify information processing, but specific claims require a concrete holographic dual and explicit calculations.

Framework scope: This mechanism is exploratory and requires a concrete holographic dual plus explicit microstate calculations. No modifications to Bekenstein-Hawking area law are claimed.