Speaker
Description
In this study, we propose a unified theoretical framework for objective wavefunction collapse by situating non-linear quantum dynamics within a time-symmetric manifold. Utilizing the Highly Simplified Correlated Variational Approach (HSCVA), we map the t-U-V-J Hamiltonian of strongly correlated electronic systems onto a non-linear temporal landscape. We introduce the Extended Dirac Principle of Temporal Superposition, wherein the non-linearity of the potential induces a bifurcation of time-evolution trajectories into discrete "time-branches." To quantify the transition from quantum unitary evolution to classical state reduction, we derive a Unified Collapse Metric (UCM) which synthesizes soliton persistence, fidelity saturation and Aharonov-Bergmann-Lebowitz (ABL) symmetry variance. Our simulation of $YBa_2Cu_3O_{7-\delta}$ (YBCO) demonstrates that objective collapse is an emergent property of the system's own electronic interactions, specifically the U and J terms which act as an intrinsic observation mechanism. By integrating forward- and backward-evolving states through the ABL formalism, we show that the collapse event corresponds to the point where time-symmetry breaks, providing a dynamical origin for the macroscopic arrow of time.
| Keyword-1 | Nonlinear Time-Symmetric |
|---|---|
| Keyword-2 | t-U-V-J model |
| Keyword-3 | Objective collapse |