def definition def or abbrev

`apsidalAngle`

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

formal statement (Lean)

 148noncomputable def apsidalAngle (D : ℕ) : ℝ :=

proof body

Definition body.

 149  (2 * Real.pi) / Real.sqrt (4 - (D : ℝ))
 150
 151/-- A direct formalization of the paper's last step:
 152`Δθ = 2π` holds iff `D=3` for the substituted closed-form apsidal angle. -/

used by (2)

From the project-wide theorem graph. These declarations reference this one in their body.

ConstraintK in IndisputableMonolith.Papers.DraftV1 decl_use
kepler_selection_principle in IndisputableMonolith.Papers.DraftV1 decl_use

depends on (12)

Lean names referenced from this declaration's body.

of in IndisputableMonolith.Astrophysics.NucleosynthesisTiers decl_use
last in IndisputableMonolith.Chain decl_use
step in IndisputableMonolith.Complexity.CellularAutomata decl_use
of in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization decl_use
A in IndisputableMonolith.Foundation.IntegrationGap decl_use
of in IndisputableMonolith.Foundation.PhiForcingDerived decl_use
of in IndisputableMonolith.Foundation.SpectralEmergence decl_use
for in IndisputableMonolith.Foundation.UniversalForcingSelfReference decl_use
of in IndisputableMonolith.Information.PhysicsComplexityStructure decl_use
A in IndisputableMonolith.Masses.Anchor decl_use
A in IndisputableMonolith.Modal.Actualization decl_use
last in IndisputableMonolith.Recognition decl_use