GEP vs. Bellazzini: Emergent Gravity vs. Bootstrap Consistency

A recent result by Bellazzini, Pomarol et al. (JHEP 2026) demonstrates that a massive spin-3/2 particle, combined with causality and unitarity, logically necessitates both the graviton and the full structure of supergravity. We examine this bootstrap argument from the perspective of Granular Entropic Physics (GEP), a discrete spacetime network framework in which spacetime itself is an emergent phenomenon. We show that GEP violates three key assumptions underlying the bootstrap: exact Lorentz invariance, the existence of elementary Rarita-Schwinger fields, and standard EFT analyticity. In GEP, any spin-3/2 excitation is necessarily composite, arising as a bound state of a Mobius fermionic defect and a collective boson. The graviton emerges independently as a massless tensorial collective mode of the network. We provide an explicit Regge-type derivation of curvature from SU(2) holonomy around elementary loops, derive the Fierz-Pauli graviton propagator from emergent diffeomorphism invariance, demonstrate holographic area-law scaling via a Z2 toy model with explicit constraint counting, and obtain a first scaling derivation of Newton's constant G ~ 1.85e-4 a² from 4-simplex geometry. The conflict between GEP and the Bellazzini framework is structural and experimentally falsifiable. Absence of an elementary gravitino at future colliders would favor GEP. Discovery of an elementary spin-3/2 particle would rule out GEP entirely. Mathematics is a good servant but a poor master.