Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
103 tokens/sec
GPT-4o
11 tokens/sec
Gemini 2.5 Pro Pro
50 tokens/sec
o3 Pro
5 tokens/sec
GPT-4.1 Pro
3 tokens/sec
DeepSeek R1 via Azure Pro
33 tokens/sec
2000 character limit reached

The Hamiltonian mechanics of exotic particles (2506.13848v1)

Published 16 Jun 2025 in cond-mat.stat-mech and hep-th

Abstract: We develop Hamiltonian mechanics on Aristotelian manifolds, which lack local boost symmetry and admit absolute time and space structures. We construct invariant phase space dynamics, define free Hamiltonians, and establish a generalized Liouville theorem. Conserved quantities are identified via lifted Killing vectors. Extending to kinetic theory, we show that the charge current and stress tensor reproduce ideal hydrodynamics at leading order, with the ideal gas law emerging universally. Our framework provides a geometric and dynamical foundation for systems where boost invariance is absent, with applications including but not limited to: condensed matter, active matter and optimization dynamics.

Summary

We haven't generated a summary for this paper yet.