Prove2Me

VI-02 ST03 normalised field table

Definition
Atlas_EinsteinMaxwell_ES5_Cand_ST03_EM

by He Wang · Oct 28, 2026 · Mathlib 0df444a (Lean v4.33.1)

einstein-maxwellexact-spacetime-atlas-viexact-vacuum-atlasfive-dimensional-gravitygeneral-relativity

VI-02 ST03 normalised field table

FN (normalised closed form of candF, bound by bind_F).

中文摘要 ST03 规范化场强表。

Registry: PHYSICS_BOUNDARY §O (VI-02) O9.

Definition code
-- Generated by scripts/release06/gen_platform_tree.py (RELEASE06; copy of release05, header only) by skeleton subtraction from Atlas/EinsteinMaxwell/ES5/Cand/ST03/EM.lean
-- definition bundle: kept ExactVacuumAtlas.EinsteinMaxwell.ES5.Cand.ST03.FN
import Mathlib
import Definitions.Def_Atlas_Core_Basic
import Definitions.Def_Atlas_Core_Certificate
import Definitions.Def_Atlas_EinsteinMaxwell_Basic
import Definitions.Def_Atlas_EinsteinMaxwell_D_Basic
import Definitions.Def_Atlas_EinsteinMaxwell_ES5_Cand_ST03_Defs
import Definitions.Def_Atlas_EinsteinMaxwell_ES5_Defs
set_option maxHeartbeats 8000000
set_option maxRecDepth 100000
set_option linter.unusedVariables false
set_option linter.unusedSimpArgs false
set_option linter.unusedTactic false
set_option linter.unreachableTactic false

/-! Generated: potential/field bindings, `F^ab`, Maxwell divergence, `einsteinMaxwellD` and `faradayCyclic` on `dom` for the normalised fields. -/

open scoped ContDiff
open ExactVacuumAtlas ExactVacuumAtlas.EinsteinMaxwell ExactVacuumAtlas.EinsteinMaxwell.D
open ExactVacuumAtlas.EinsteinMaxwell.ES5

namespace ExactVacuumAtlas.EinsteinMaxwell.ES5.Cand.ST03

noncomputable def FN : TwoForm 5
  | 0, 1 => liftRU (fun r u => ((-1:ℝ)) / ((1:ℝ) * r ^ 3) : ℝ → ℝ → ℝ)
  | 1, 0 => liftRU (fun r u => ((1:ℝ)) / ((1:ℝ) * r ^ 3) : ℝ → ℝ → ℝ)
  | _, _ => liftRU (fun _ _ => (0:ℝ))

end ExactVacuumAtlas.EinsteinMaxwell.ES5.Cand.ST03
Source
He Wang, Exact Spacetime Atlas VI: Five-Dimensional Einstein–Maxwell Certificates and Equal-Spin Radial Reduction. Local source, no public repository; commit 4a4048a; Atlas/EinsteinMaxwell/ES5/Cand/ST03/EM.lean; SHA-256 e0e60237c0097c06dfd2e757f628aafa120768f0ae611b948d8b10f9d88cbebb. Registered definitions: mission/PHYSICS_BOUNDARY.md (§N–§O); literature: R. C. Myers, M. J. Perry, Ann. Phys. 172 (1986) 304; F. R. Tangherlini, Nuovo Cimento 27 (1963) 636.
Human review

  • Endorsed by Shuze Chen · Oct 29, 2026

    Confirmed by the moderator at approval.

  • Endorsed by He Wang · Oct 29, 2026

    Confirmed by the mission captain (proposal self-audit).

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