Emergent Viscous Hydrodynamics From a Single Quantum Particle (In this paper, we show how spatial decoherence gives rise to hydrodynamics. Interestingly, the system we consider consists of only a single quantum particle coupled to its environment. Yet, even in this case, hydrodynamics still emerges as a universal effective description in the late-time, long-wavelength limit (whereas conventional hydrodynamics typically requires a system with a large number of degrees of freedom, i.e., a many-body system). These hydrodynamic equations provide an effective description for the low-energy dynamics of the density matrix. One may understand the purely diffusive mode comes from strong-to-weak spontaneous symmetry breaking of U(1) symmetry where the U(1) is just the probability conservation.) You can also see the interactive report generated by Gemini 3.
Physics-Informed Deformable Gaussian Splatting: Towards Unified Constitutive Laws for Time-Evolving Material Field. （Physics-Informed Deformable Gaussian (PIDG) Splatting models each 3D Gaussian as a Lagrangian particle whose time-evolving velocity and stress are predicted by a learned material field; it enforces physics by minimizing the Cauchy momentum residual and fits motion by aligning per-particle velocity flows to camera-compensated optical flow, using a backward-flow registration that avoids stripe artifacts. It represents dynamics in a canonical hash space with 4D decomposed hash encoding, cutting memory from O(n^4) to O(n^3). Across a custom physics-driven dataset and real-world HyperNeRF scenes, PIDG yields more coherent dynamics and state-of-the-art quality.）For more information, see the Project Homepage .