Three-Stage CNS Black Hole Yield Calculator

Julian Gough's extension of Smolin's CNS: when does intelligent-life-created black holes overtake natural stellar production? Universe fitness is the total BH mass density per MpcΒ³.

πŸ”¬ Established physics (stellar IMF, BH formation rate) ⚠ Theoretical (CNS framework, direct-collapse BHs) ✦ Engineering fiction (Stage 3: civilisational BH creation)
Context. Lee Smolin's Cosmological Natural Selection (1992) proposes that universes reproduce via black holes, so physical constants are selected to maximise BH production. Julian Gough extends this with a three-stage model: Stage 1 β€” direct-collapse supermassive BHs in the early universe; Stage 2 β€” stellar black holes from normal evolution; Stage 3 β€” BHs created by intelligent civilisations (the "third stage" that JWST evidence is beginning to constrain). This tool asks: at what civilisational density and BH-creation rate does Stage 3 become the dominant contribution to the universe's BH yield?
Stage 1
Direct-Collapse SMBHs
Early-universe (z > 6) supermassive BH seeds formed by direct gas collapse β€” no stellar progenitor. JWST is actively constraining this population.
DCBH number density n_DC (Mpc⁻³) 10⁻³
10⁻⁢10⁻³10⁰
Mean DCBH mass M_DC (Mβ˜‰) 10⁢
10⁴ Mβ˜‰10⁢10⁹
Stage 1 BH mass density
β€”
Mβ˜‰ Mpc⁻³
Stage 2
Stellar Black Holes
BHs from normal stellar evolution. Massive stars (M > 20 Mβ˜‰) collapse to BHs at the end of their lives. Salpeter IMF gives the fraction of stellar mass that ends up in BHs.
Total stellar mass formed (Mβ˜‰ Mpc⁻³) 5Γ—10⁸
10⁢10⁸10¹¹
BH mass fraction f_BH 0.30%
0.01%1%20%
Stage 2 BH mass density
β€”
Mβ˜‰ Mpc⁻³
Salpeter IMF prediction: ~0.3% of stellar mass ends in stellar BHs (M > 20 Mβ˜‰, assuming no fallback). Observed total cosmic stellar mass density ~5Γ—10⁸ Mβ˜‰ Mpc⁻³ (Madau & Dickinson 2014).
Stage 3
Civilisational BH Creation
✦ Engineering fiction. Intelligent civilisations create BHs directly β€” via particle colliders at extreme energies, engineered stellar collapse, or micro-BH factories. Gough's third stage.
Civilisation density n_civ (Mpc⁻³) 10⁻³
10⁻¹⁰10⁻³10⁢
BH creation rate R_BH (BH yr⁻¹ civ⁻¹) 1
10⁻⁢/yr1/yr10¹⁰/yr
BH mass per creation M_civ (Mβ˜‰) 10
10⁻⁢ Mβ˜‰110⁹
Stage 3 duration T_civ (Gyr) 1.0
0.01 Gyr120 Gyr
Stage 3 BH mass density
β€”
Mβ˜‰ Mpc⁻³
Universe Fitness Accounting
Total BH mass density
β€”
Mβ˜‰ Mpc⁻³
Stage 3 / Stage 2 ratio
β€”
civilisational dominance
Stage 3 / total
β€”
fraction of yield
Relative BH mass density by stage (log scale)
Stage 1
β€”
Stage 2
β€”
Stage 3 ✦
β€”
Civilisation density required for Stage 3 dominance, vs. BH creation rate (log-log)
β€”

What this tool does

This tool implements Julian Gough's three-stage extension of Lee Smolin's Cosmological Natural Selection. Smolin (1992) proposed that our universe's physical constants are optimised by natural selection to maximise black hole production. Gough (2020s) argues there are three distinct production channels, and that in late-time universes the third stage β€” intelligent life creating BHs β€” could become the dominant contribution to the total BH yield.

The three stages

Stage 1 β€” Direct-collapse SMBHs: In the first ~100 Myr after the Big Bang, massive gas clouds could collapse directly into black holes of 10⁴–10⁹ Mβ˜‰ without forming stars first. JWST has found evidence for unexpectedly massive BHs at z > 10 (Harikane et al. 2023), which Gough interprets as support for this channel. Number density n_DC is highly uncertain β€” the tool spans the observational range (10⁻⁢ to 1 per MpcΒ³).

Stage 2 β€” Stellar BHs: Massive stars (roughly M > 20 Mβ˜‰) end their lives as black holes. The Salpeter IMF (dN/dM ∝ M⁻²·³⁡) predicts roughly 0.1–1% of total stellar mass ends up in stellar BHs. Integrated over the cosmic star formation history, the total stellar mass formed is ~5Γ—10⁸ Mβ˜‰ Mpc⁻³ (Madau & Dickinson 2014), giving a Stage 2 yield of ~10⁢–10⁷ Mβ˜‰ Mpc⁻³.

Stage 3 β€” Civilisational BHs (✦): Gough's distinctive addition. Advanced civilisations could create BHs deliberately β€” via particle accelerator chains reaching Planck energies, engineered supernova triggering, or direct gravitational collapse of structured matter. The parameters here are unconstrained by observation; the tool explores the consequences of different assumptions. M_civ = mass per created BH is a key free parameter: if civilisations create stellar-mass BHs (10–100 Mβ˜‰), the yield per creation is small; if they create IMBH-scale BHs (10³–10⁡ Mβ˜‰), the yield is much larger.

Universe fitness

In CNS, universe "fitness" is measured by total BH production per unit volume. A universe that produces intelligent life capable of Stage 3 BH creation may be more reproductively fit than one that only runs Stages 1 and 2 β€” but only if Stage 3 yields are substantial. This creates a potential selection pressure for universes that support life.

Epistemic status

Stage 2 calculations are πŸ”¬ β€” the Salpeter IMF and stellar evolution are well-established. Stage 1 is ⚠ theoretical β€” supported by some JWST evidence but the model is debated. Stage 3 is ✦ engineering fiction β€” there is no observational evidence for civilisational BH creation and the parameter range spans many orders of magnitude.

References

Smolin, L. (1992). "Did the Universe Evolve?" Classical and Quantum Gravity 9:173. DOI: 10.1088/0264-9381/9/1/016 Gough, J. (2022–2025). "Blowtorch Theory." The Egg and the Rock. https://theeggandtherock.com/p/the-blowtorch-theory-a-new-model Salpeter, E. E. (1955). "The Luminosity Function and Stellar Evolution." ApJ 121:161. DOI: 10.1086/145971 Madau, P. & Dickinson, M. (2014). "Cosmic Star-Formation History." ARA&A 52:415. DOI: 10.1146/annurev-astro-081811-125615 Harikane, Y. et al. (2023). "A Comprehensive Study of Galaxies at z > 10 found in JWST." ApJS 265:5. DOI: 10.3847/1538-4365/acaaa9

v1.0 β€” 2026-06-02 Β· Tool content may be revised as scientific knowledge evolves.