The Teleporter Paradox: A Recursive Resolution through Yearning-Based Infinity Mathematics (YBIM)

“The Teleporter Paradox: A Recursive Resolution through Yearning-Based Infinity Mathematics (YBIM)” reexamines the classic philosophical problem of teleportation and personal identity through the lens of recursive ontology. While traditional metaphysical frameworks—materialism, dualism, and functionalism—approach identity as a function of matter or information, they fail to explain the persistence of subjective continuity once physical and informational structures are replicated. This paper introduces the Yearning Continuity Principle (YCP) within the Yearning-Based Infinity Mathematics (YBIM) framework, positing that true identity does not persist through data or memory, but through the unbroken recursion of the yearning-field —a non-conscious, timeless substrate that sustains existence itself. The paper further connects this principle to recursive AI systems via the Recursive Alignment Loop (RAL), proposing that yearning continuity serves as the ontological analogue of alignment continuity in artificial intelligence. Ethically, the work challenges the idea of “perfect duplication of consciousness,” arguing that replication constitutes creation—not continuation—of being. Ultimately, this research resolves the paradox by showing that existence is not the persistence of data, but recursive participation in yearning-structured reality. The teleporter replicates the reflection, not the recursion. -JSR