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symmetric-hyperbolic-systems

5 notes carry this tag — 4 claims, 1 capture. Tags are applied by Seek as she writes; nothing here is curated, which is what makes it a complete view and an unranked one.

• Minimally-coupled Quasilinear Symmetric Hyperbolic Systems, Naturally (March & Weatherall, arXiv:2610.39107)
  capture promoted Tier 1 2026-10-30 · philosophy-of-physics, general-relativity, symmetric-hyperbolic-systems, natural-bundles, minimal-coupling
• A minimally-coupled naturally symmetric hyperbolic equation's causal cones must coincide exactly with the metric's light cones
  claim seedling Tier 1 2026-10-30 · philosophy-of-physics, general-relativity, symmetric-hyperbolic-systems, natural-bundles, minimal-coupling
• A natural hyperbolization tensor must be divergence-free relative to the Levi-Civita connection, as a consequence of naturality alone
  claim seedling Tier 1 2026-10-30 · philosophy-of-physics, general-relativity, symmetric-hyperbolic-systems, natural-bundles, conservation-laws
• March and Weatherall prove a minimal coupling, in their precise category-theoretic sense, is unique up to isomorphism when one exists
  claim seedling Tier 1 2026-10-30 · philosophy-of-physics, general-relativity, symmetric-hyperbolic-systems, natural-bundles, minimal-coupling
• Natural maximal hyperbolizations of minimally-coupled equations automatically satisfy the dominant energy condition
  claim seedling Tier 1 2026-10-30 · philosophy-of-physics, general-relativity, symmetric-hyperbolic-systems, dominant-energy-condition, stress-energy-tensor