Gravity-related spontaneous wave function collapse in bulk matter

Abstract

In the DP-model, gravity-related spontaneous wave function collapses suppress Schrödinger cat states which are conceptually problematic especially for gravity and space-time. We derive the equations of the model for the hydrodynamicelastic (acoustic) modes in a bulk. Two particular features are discussed: the universal dominance of spontaneous collapses at large wavelengths, and the reduction of spontaneous heating by a slight refinement of the DP-model.

Testing Spontaneous Wave-Function Collapse Models on Classical Mechanical Oscillators

“…Currently available mechanical oscillators of extreme long ring-down time, e.g., in Ref. [20] by Matsumoto et al, are immediately capable of sensing spontaneous heating if it exists with the strongest proposed rates.Spontaneous collapse models are known [1] to impose spontaneous kinetic energy increase at constant rate proportional to the spontaneous collapse rate; see also [5]. This spontaneous heating is independent of the quantum state.…”

“…Spontaneous collapse models are known [1] to impose spontaneous kinetic energy increase at constant rate proportional to the spontaneous collapse rate; see also [5]. This spontaneous heating is independent of the quantum state.…”

“…DOI Spontaneous collapse models [1] suggest that macroscopic superpositions-large spatial superpositions of quantum states of massive degrees of freedom-decay at (model dependent) universal rates. These models, the particular gravity-related (or DP) model [2][3][4][5][6] and the continuous spontaneous localization (CSL) model [7,8] predict the progressive violation of the quantum mechanical superposition principle for massive degrees of freedom. For atomic degrees of freedom this violation is irrelevant while for massive degrees of freedom it becomes significant though usually masked by the environmental noise.…”

“…[19] for both CSL and DP, or from Ref. [5] for DP. Here D sp governs the strength (rate) of spontaneous decoherence.…”

“…where ϱ is the mass density, and a is the lattice constant, while ω G is the effective parameter used by [3][4][5]. The expression (14) is valid for σ DP ≪ a.…”