Black Hole Spins can fit with 97.6% Fibonacci-Lucas-Number-Midpoints - A first look by Stefan Geier et al.
Black Hole Spins can fit with 97.6% Fibonacci-Lucas-Number-Midpoints - A first look
by Stefan Geier et al.
1. "In late 2006, astronomers reported estimates of the spin rates of black holes in The Astrophysical Journal. A black hole in the Milky Way, GRS 1915+105, may rotate 1,150 times per second,[6] approaching the theoretical upper limit." (Wikipedia, 08.08.26: [6] Hayes, Jacqui (24 November 2006). "Black hole spins at the limit". Cosmos magazine. Archived from the original on 7 May 2012.
2. 1178.5 is the midpiint of the neighbouring Lucas number L15 and Fibonacci number F16: F16=987, L15=1363.
3. GRS 1915+105 spin fits with 97.6% the F16-L15 midpoint: 1150/1178.5 = 0.9758167 ~ 97.6%.
(Other sources: spin 950/s; 950/F16=0.96251 ~ 96.2 %)
This corroborates, however weak, Geier's equations and Geier's equilibrium programme.
With additum 1 we conclude: Black holes obey often in at least one aspect Geier's equations and Geier's equilibrium programme.
Yours Stefan Geier, Gerhart-Hauptmann-Straße 6, 83071 Haidholzen (ISTS Simssee)
References:
St. Geier et al. "GEIER's Equations" and "GEIER's Φ(e) ↔ Φ(α) Equilibrium Programme" with FIBONACCI/LUCAS extensions (GEIER's Equations Part 2.1). ResearchGate, February 2026, DOI: 10.13140/RG.2.2.33185.67689.
St. Geier: From Trapped Surfaces to Theory-Nets: A Structuralist Reconstruction of Roger Penrose's Black-Hole Programme: Sneed-Stegmüller-Balzer-Moulines metatheory, global general relativity, and the epistemology of robust collapse. ResearchGate, August 2026, DOI: 10.13140/RG.2.2.16188.60808 .
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Wikipedia, today: Yukterez (Simon Tyran, Vienna) - Own work: Diagram of the static limit (ergosphere) and the inner and outer event horizons of a rotating black hole. "a" is the Spin parameter of the rotating black hole; with a low spin-parameter the ergosphere converges to an ellipsoid, while with a high spin-parameter it resembles a pumpkin-shape. The axes are in units of GM/c².
1 Other representative inferred spins according the standard literature: Excellent fits, too!
| Black hole | Inferred a∗ | Adopted mass | Derived horizon frequency |
|---|---|---|---|
| Cygnus X-1 | , standard continuum fit | ; period ms (F15-L14-midpoint = 726.5) | |
| LMC X-1 | 0.92−0.07+0.05 | central value ; period ms (F16=987) | |
| A0620-00 | central value , but consistent with zero spin (F12 = 144) | ||
| GW150914 remnant | 0.67−0.07+0.05 | 62−4+4M⊙ | central value ; period ms (F11-L10-midpoint = 106) |
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