Structural Analogies Between Loop Invariants and Information Flow in Black Hole Systems

This work explores a simple but powerful idea: very different systems can sometimes share the same underlying structure. The paper introduces a general model called a “loop invariant,” which describes how a system behaves when it reaches a boundary where it can’t continue normally and must produce a stable output that carries information forward. Black holes, as understood in modern physics, also involve a boundary (the event horizon) and an outward flow of information (Hawking radiation). This paper does not claim that black holes follow the loop model or that the model explains black hole physics. Instead, it draws a structural analogy between the two situations. By comparing the loop invariant’s “contradiction boundary” and “reset channel” with the event horizon and Hawking radiation, the paper offers a fresh conceptual way to think about the black hole information paradox. The goal is not to propose new physics, but to provide a clear, intuitive framework that helps readers understand why the paradox is so conceptually challenging. This cross‑domain perspective highlights how ideas from one field can illuminate long‑standing questions in another.