Asymptotic Evans Zero Law for the Chiral SCT Operator

Indexed indatacite

Abstract

Paper 46 in the "Geometry of the Critical Line" programme. This paper derives the leading asymptotic law for the Evans zeros of the connection-matrix entry M₂₁(λ,m) of the chiral SCT operator. The proof uses exact Liouville reduction (the identity B = −A'/2), endpoint Laurent analysis, and complex-order Bessel matching. The Evans numerator reduces to sinh(β + iα), where β = Im(ν)π and α = Φ_tot − Re(ν)π − π/2. The main results at leading asymptotic order: (i) the leading asymptotic Evans model has no real zeros for m ≠ 0; (ii) the zeros satisfy Δ√(Re λₙ) → π/L with L = 2/k; (iii) for m > 0 the zeros lie in Im(λ) 0 by chiral conjugation. Numerical verification in the m = 2 and m = 4 sectors confirms the…

Citation impact

10
total citations
FWCI
Percentile
References
0
Too recent for citation history.

Authors

1

Topics & keywords

Keywords
  • Bessel function
  • Interpretation (philosophy)
  • Riemann hypothesis
  • Operator (biology)
  • Laurent series
  • Zero (linguistics)
  • Cover (algebra)
  • Connection (principal bundle)
No related works found for this paper.