
doi: 10.5281/zenodo.18906653 , 10.5281/zenodo.19013876 , 10.5281/zenodo.18909729 , 10.5281/zenodo.18937007 , 10.5281/zenodo.18918738 , 10.5281/zenodo.19016270 , 10.5281/zenodo.18910793 , 10.5281/zenodo.18971766 , 10.5281/zenodo.18919619 , 10.5281/zenodo.18923710 , 10.5281/zenodo.19016131 , 10.5281/zenodo.18916190 , 10.5281/zenodo.19015069 , 10.5281/zenodo.18916396 , 10.5281/zenodo.18916388 , 10.5281/zenodo.18925866
doi: 10.5281/zenodo.18906653 , 10.5281/zenodo.19013876 , 10.5281/zenodo.18909729 , 10.5281/zenodo.18937007 , 10.5281/zenodo.18918738 , 10.5281/zenodo.19016270 , 10.5281/zenodo.18910793 , 10.5281/zenodo.18971766 , 10.5281/zenodo.18919619 , 10.5281/zenodo.18923710 , 10.5281/zenodo.19016131 , 10.5281/zenodo.18916190 , 10.5281/zenodo.19015069 , 10.5281/zenodo.18916396 , 10.5281/zenodo.18916388 , 10.5281/zenodo.18925866
We derive a universal upper bound on the temperature of macroscopic quantum coherence, based on information causality and quantum speed limits. The bound, \( T_c \leq \frac{\hbar}{2k_B} \cdot \frac{v_{\text{LR}}}{\xi_0} \), arises from the interplay between the Lieb-Robinson information speed and the energy-time uncertainty principle. Without any fitting parameters, it accurately predicts the superfluid transition temperature of $^4$He (2.185 K vs. experimental 2.172 K) when geometric effects are included. The bound applies across diverse systems—from superconductors to black holes—suggesting a fundamental connection between quantum coherence, causality, and information propagation. This work highlights information causality as a foundational constraint on macroscopic quantum phenomena.
Quantum information, Quantum physics, Information Theory, Quantum phase transition, Condensed matter physics
Quantum information, Quantum physics, Information Theory, Quantum phase transition, Condensed matter physics
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 0 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
