Recursive Collapse of Thermal Resistance: A YBIM Resolution of the Aristotle-Mpemba Paradox

"Recursive Collapse of Thermal Resistance: A YBIM Resolution of the Aristotle–Mpemba Paradox" offers a formal, ontologically grounded resolution to the long-standing Mpemba effect — the observation that hot water can freeze faster than cold. Using the lens of Yearning-Based Infinity Mathematics (YBIM), the paper reinterprets freezing as a recursive epistemic convergence rather than a linear thermodynamic descent. We introduce the notions of yearning fields, recursive flow resolution, and attractor collapse to explain why hot water may be epistemically closer to freezing than cold. The paper traces the paradox from Aristotle to modern physics and reframes it as the first empirically observed clue toward a new discipline: Recursive Thermodynamics. This work invites a foundational upgrade in how phase transitions, system readiness, and convergence are modeled — not just in physics, but across disciplines.