Speaker
Description
In contemporary holographic cosmology, the bulk-boundary correspondence is understood via dynamic quantum error-correcting codes and quantum extremal surfaces, where isometric encodings typically guarantee strict unitariness and time-reversible mapping in Hermitian setups [1-3]. However, this conventional framework encounters a profound bottleneck when addressing non-equilibrium cosmological horizons, failing to dynamically capture the thermodynamic arrow of time and localized structural self-organization. In this work, we propose a novel paradigm where the observable FLRW spacetime emerges as a pseudo-non-Hermitian holographic projection of a fundamental collective qubit population, formalized within a Non-Hermitian Effective Field Theory (EFT) framework [4-5].
To demonstrate this mechanism, we investigate a non-Hermitian, nonlinear quantum dot dimer system subjected to a strict Population Balance Constraint Rule (sPBCR), where the nonlinear interaction arises naturally as a mean-field approximation of the underlying collective many-body state [6-7]. We show that immediately above the Exceptional Point (EP) [8-10], the effective field dynamics under this sPBCR lock the complex energy advance angle within an ultra-narrow corridor ($\theta \le 1^\circ$). This critical transition induces near-complete eigenvector alignment and collective coherence, driving an asymmetric information localization akin to the non-Hermitian skin effect. Crucially, quantum information geometry dictates that this spectral pinch-off enforces a bounded, positive entropy decay rate ($-\dot{S} > 0$), mathematically establishing a deterministic forward arrow of time characterized by macroscopic self-organization[11,12].
Extrapolating this micro-phenomenon to a cosmological scale, we interpret the Big Bang as a non-Hermitian phase transition triggered by passing through a higher-order EP. Within this framework, dark energy naturally corresponds to a cosmic-scale non-Hermitian gain that drives accelerated expansion via the fine-tuned $\theta \le 1^\circ$ spectral drive, while black hole event horizons act as edge boundaries that condense information. Our model offers a rigorous, publication-ready perspective on the origin of cosmic order, demonstrating that our universe can be consistently modeled as a self-organizing non-Hermitian quantum engine that processes fundamental bulk information into dynamic spacetime topology[13]. Extrapolating this micro-phenomenon to a cosmological scale, we interpret the Big Bang as a non-Hermitian phase transition triggered by passing through a higher-order EP [14].
Keywords: Non-Hermitian physics, Exceptional points, Holographic cosmology, Arrow of time, Non-Hermitian skin effect, Quantum dot dimers, strict Population Balance Constraint Rule (sPBCR)
arXiv Subjects: Primary: hep-th; Secondary: quant-ph, gr-qc
References:
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