We conjecture that the Schwarzschild metric is incomplete near black hole horizons because it omits temperature as a geometric coordinate. In the standard metric, temperature appears only as an observable effect — the Unruh temperature — not as a dynamical degree of freedom of the geometry itself. We propose an extension in which temperature T enters the metric explicitly, activating only when T reaches a conversion threshold Tconv. Far from the horizon, the standard Schwarzschild metric is recovered exactly. Near the horizon, three parameters evolve simultaneously: time slows progressively (gravitational time dilation) position approaches the Schwarzschild radius rₛ the Unruh temperature diverges Rather than producing a singularity, this convergence triggers a phase transition — the conversion of ordinary matter into Penetrons (hypothetical superluminal non-geodesic particles introduced in a previous conjecture). The outgoing flux of these Penetrons constitutes Hawking radiation. The black hole singularity at r = 0 is not a physical reality but an artifact of the omission of temperature from the geometric framework. This paper is explicitly speculative and presented as an open problem.
Judicael Brindel (Sun,) studied this question.