We introduce Quantum State Geometry (QSG) as an effective field theory linking projective Hilbert-space state evolution to spacetime metric dynamics. By coupling matter fields to a disformal effective metric governed by a scalar quantum-variancefield ϕ ≡ ∆E/MP , QSG modifies the Einstein-Hilbert action without conflating state space with spacetime topology.
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Peter HF Lau (2026) studied this question.
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