A Holographic Bound on Macroscopic Quantum Superpositions

Abstract We derive a fundamental limit on the mass of objects capable of sustaining spatial superpositions, based on the Bekenstein entropy bound and the holographic principle. We show that the dimension of the Hilbert space required to describe distinguishable macroscopic states grows exponentially with mass, eventually exceeding the information capacity of the bounding surface area. This imposes a structural "Holographic Cutoff" at a critical mass scale Mc ~ 10^-14 kg. Unlike Continuous Spontaneous Localization (CSL) models which predict a gradual decoherence, our analysis predicts a discontinuous loss of interference visibility at Mc. We propose a test using levitated nanoparticle interferometry that can distinguish this intrinsic bound from environmental decoherence. Files in this Record AHolographicBound. . . pdf: The condensed 4-page Letter (PRL-style submission). No-ScaleTheorem. . . pdf: The extended manuscript ("Paper") with full derivations and visualizations. Keywords: Quantum Measurement Problem, Holographic Principle, Bekenstein Bound, Macroscopic Superposition, Quantum Gravity, Talbot-Lau Interferometry.