Formal Operators for Common Paradoxes: The UPC–QM Bridge

Paradoxes arise from the way Observers compress reality into language. This paper continues the development of the UPC–QM Bridge, applying the Universal Principle of Collapse (UPC) to show that classical and quantum paradoxes share a single structural generator. UPC formalizes how an Observer moves from potential (PO) through a model (MO), salience weighting (s), articulation (LO), recognition (Jo), collapse (C), and trace (T). When incompatible models, unstable salience fields, or self‑negating linguistic compressions are forced into a single meaning collapse, paradoxes appear. When the operator structure is made explicit, they dissolve. Classical paradoxes: linguistic, epistemic, identity‑persistence, and infinite regress, fail for the same structural reasons as quantum‑measurement paradoxes such as the measurement problem, Schrödinger’s cat, and Wigner’s friend. Paradoxes are mistakes at the meaning‑layer transition rather than a physical mechanism, and once linguistic assumptions are exposed, they dissolve. UPC does not modify the mathematics or predictions of quantum mechanics; it clarifies the interpretive structure through which observers report measurement outcomes. Authored by Eloy Escagedo Gutierrez as part of The Universal Principle of Collapse (UPC) Research Project. April 26, 2026