u/Dry_Success_5379

Information-Coupled Quantum Dynamics as an Effective Field Theory Bula Framework 1 We propose an effective field-theoretic model in which an auxiliary scalar field I(x,t) emerges as a coarse-grained representation of environmental backreaction on quantum systems. The field couples to Schr¨odinger dynamics via a nonlinear potential and introduces a diffusive feedback mechanism sourced by quantum probability density. The system reduces to standard quantum mechanics in the weak-coupling limit and exhibits stable localized attractors for finite coupling. I. MODEL ∂I ∂t = DI∇2 I + α|ψ| 2 − βI (1) iℏ ∂ψ ∂t =  − ℏ 2 2m ∇2 + V (x) + λI(x, t)  ψ (2) Gµν + ϵ∇µ∇νI = 8πGTµν (3) II. LIMITS Quantum limit: I → 0 ⇒ iℏ∂tψ = Hψˆ (4) III. RESULT The system generates nonlinear feedback leading to stable localized attractors in the coupled (I, ψ) phase space. IV. CONCLUSION We interpret I(x, t) as an emergent environmental field inducing effective nonlinear cor- rections to quantum dynamics. 2