Advanced Physics in the 21st Century

√(5/π) in d-, f- and g-type atomic orbitals and its possible relation to GEIER’s 6° Rule (√(π/5) Rule): a structuralistic-oriented analysis   by Stefan A. Geier et al. Institute for Structuralistic Theory of Sciences Simssee ISTS, Gerhart-Hauptmann-Straße 6, 83071 Haidholzen, Germany, and LMU Munich, Geschwister-Scholl-Platz 1, 80539 Munich, Germany; To whom correspondence should be addressed: Stefan Geier, Institute for Structuralistic Theory of Sciences Simssee ISTS, Gerhart-Hauptmann-Straße 6, 83071 Haidholzen, Germany, Europe, Blue Planet Earth, email: wissenschaftstheorie.simssee.1@gmail.com   Very short Version 0.0.0.0 (Discussion and Critique Welcome!)     One Sentence Abstract: Using SCHRÖDINGER's equations we demonstrate that 17/21 of atomic d-, f- and g-orbitals are asscociated with  GEIER’s 6° Rule (√(π/5) Rule) and that 18/21 o f d-, f- and g-orbitals (d and g: all orbitals) are asscociated with  GEIER’s (2x and,or 3)° Rule corrobora...

  Reciprocal-pentagonal rewriting of d-orbital Schrödinger equations:  a Φ-aware perspective on the l = 2 manifold (or Reciprocal pentagonal scaling of d orbitals: a Φ-aware rewriting of the l = 2 angular manifold) by Stefan A. Geier Institute for Structuralistic Theory of Sciences Simssee ISTS, Gerhart-Hauptmann-Straße 6, 83071 Haidholzen, Germany, and LMU Munich, Geschwister-Scholl-Platz 1, 80539 Munich, Germany; To whom correspondence should be addressed: Stefan Geier, Institute for Structuralistic Theory of Sciences Simssee ISTS, Gerhart-Hauptmann-Straße 6, 83071 Haidholzen, Germany, Europe, Blue Planet Earth, email: wissenschaftstheorie.simssee.1@gmail.com   Short Version 0.0.0.0 (Discussion and Critique Welcome!)   Standfirst The normalized angular equations of the five d orbitals already contain an exact reciprocal-pentagonal factor, √(5/π) = 1/√(π/5). Recognizing this structure clarifies what is exact, what can be expressed in a Φ-aware langua...