PT Journal AU Navarro-Salas, J TI Black holes, conformal symmetry, and fundamental fields SO Classical and Quantum Gravity JI Class. Quantum Gravity PY 2024 BP 085003 EP 14pp VL 41 IS 8 DI 10.1088/1361-6382/ad3081 LA English DE black holes; horizons; singularities; conformal symmetry; quantum fields; Standard Model AB Cosmic censorship protects the outside world from black hole singularities and paves the way for assigning entropy to gravity at the event horizons. We point out a tension between cosmic censorship and the quantum backreacted geometry of Schwarzschild black holes, induced by vacuum polarization and driven by the conformal anomaly. A similar tension appears for the Weyl curvature hypothesis at the Big Bang singularity. We argue that the requirement of exact conformal symmetry resolves both conflicts and has major implications for constraining the set of fundamental constituents of the Standard Model. ER