Physics#Fluid Dynamics, Theoretical Physics, Differential Geometry🔬 ResearchAnalyzed: Jan 3, 2026 06:11
Fluid Dynamics as Intersection Problem
Analysis
This paper proposes a novel perspective on fluid dynamics, framing it as an intersection problem on an infinite-dimensional symplectic manifold. This approach aims to disentangle the influences of the equation of state, spacetime geometry, and topology. The paper's significance lies in its potential to provide a unified framework for understanding various aspects of fluid dynamics, including the chiral anomaly and Onsager quantization, and its connections to topological field theories. The separation of these structures is a key contribution.
Key Takeaways
- •Formulates fluid dynamics as an intersection problem.
- •Separates equation of state, spacetime geometry, and topology.
- •Connects to chiral anomaly, Onsager quantization, and topological field theories.
- •Clarifies the relationship between canonical and Landau velocities.
Reference
“The paper formulates the covariant hydrodynamics equations as an intersection problem on an infinite dimensional symplectic manifold associated with spacetime.”