Wave function collapse models propose that gravitational effects cause instability in mass distribution superpositions, leading to state reduction. In this work, the quantum Boltzmann equation is used to analyze a fermion in a spatial superposition while emitting gravitons. A quantitative measure is introduced, linking superposition stability to spatial separation, particle mass, and the gravitational coupling constant. From the analysis of the collision term of the equation, the decoherence rate is derived, demonstrating dependence on these parameters. The results provide a detailed framework for describing gravitationally induced decoherence, bridging quantum field theory and collapse models. Implications for experimental tests of gravity-induced collapse and for dissipative continuous spontaneous localization models are discussed.
A coffee whirlpool can span two spots in a cup—a blur of swirling liquid. Quantum particles behave similarly: a spacetime whirlpool where they exist in two places at once. But gravity acts as the spoon that stirs the fabric of space and time. The particle’s mass generates tiny ripples—gravitational waves—that drain the whirlpool’s energy. Each ripple whispers the particle’s location, and as whispers accumulate, the blur collapses into a single position. The process follows a rule from Ludwig Boltzmann: just as heat spreads disorder, every ripple broadcasts the particle’s secret. Heavier objects with wider whirlpools fade faster. For a grain of sand, gravity alone would collapse a superposition in a trillionth of a second—no measurement needed. This matches Roger Penrose’s hunch that gravity curbs quantum strangeness. Experiments with tiny mirrors may soon connect the two pillars of physics: the quantum rulebook and Einstein’s gravity.
🎯 A single graviton is so weak that a billion billion of them could barely lift a paperclip, yet their combined whisper collapses a quantum state.