A Testable Planck-Suppressed Environmental Correction to Quantum Phase Evolution

This manuscript introduces TCVR-Q as a conservative effective quantum framework in which standard quantum mechanics is preserved in the zero-coupling limit while a small Planck-suppressed residual-response term is added to quantum phase evolution. The coupling is defined as a dimensionless quantity controlled by the ratio between the Planck length and an effective environmental length scale. The framework introduces a unified residual-response variable, \(\mathcal{X}_{\rm TCVR}\), whose projections appear as \(S_{\rm CQR}\) in coarse-grained astrophysical coronae and as \(S_Q\) in controlled laboratory quantum systems. The modified Schrödinger equation contains a channel-dependent energy scale \(E_*\), equivalently \(\Omega_0=E_*/\hbar\), and predicts a small path-dependent phase shift in interferometric systems. The model also includes an optional open-system density-matrix formulation with controlled decoherence. A gradient-reversal atom-interferometry protocol is proposed as a falsifiable test, with the possibility of constraining the dimensionless coupling parameter through null phase-shift measurements. The framework does not claim a direct detection of TCVR, does not replace standard quantum mechanics, and does not assume observer-induced wavefunction collapse. It is presented as a phenomenological, Planck-suppressed residual-response layer compatible with standard quantum mechanics in the appropriate limit.