Demo G · Aestivation vs. MTH · chains four tools

Wait, Compute, Win?

Sandberg, Armstrong & Cirkovic proposed that advanced civilisations hibernate until the universe cools, then compute for ~1030× more per joule. Bennett, Hanson & Riedel replied that cold reservoirs already exist — no waiting needed. Four tools settle the question: how much you can save depends on whether the gain is real, and the IMBH ergosphere makes both strategies obsolete.

No backend · No tracking · Works offline · v1.0 · 2026-05-28
⚙ Choose the aestivation scenario

Each scenario adjusts all four tools simultaneously. The core dispute: does waiting for cosmic cooling produce a genuine gain? The answer depends on whether you accept Sandberg's claim that the cold future is a new resource, or Bennett’s reply that deep space is already cold enough.

01
Tool 16 · Drake equation Monte Carlo
How many civilisations are we explaining away?

Before asking whether civilisations aestivate, you need to ask whether any exist to aestivate. The Sandberg 2018 Monte Carlo with wide log-uniform priors shows P(N < 1) ≈ 30–50%: there may be nobody to hibernate. The “aestivation viable” scenario uses Sandberg priors because the thesis was written for precisely that prior regime — if N is small, the silence is already partly explained by rarity, and aestivation is a candidate explanation for whatever small residual exists. The optimistic preset is the scenario where the aestivation thesis is doing the most heavy lifting: if N is large, aestivation must explain not a residual but the overwhelming majority of absent civilisations — every single one went dark simultaneously, by the same thermodynamic logic. That is a much stronger claim.

Open Drake Monte Carlo → Theoretical (Drake formulation) Established (Bayesian MC)
Step payoff
Sandberg priors: P(N < 1) ≈ 30–50%, median N ≈ 0.01. Optimistic preset: N > 1,000, strong Fermi tension. The aestivation thesis is a stronger resolution in the high-N regime — but it requires all civilisations to independently converge on the same strategy, which is either a deep thermodynamic attractor or a conspiratorial coincidence.
02
Tool 18 · Aestivation cost calculator
The thermodynamic case for hibernation — and the counter-argument

Landauer’s principle says every irreversible bit operation costs at least kB T ln 2 joules in heat dissipation. Lower the temperature, lower the cost. Sandberg et al. (2017) showed that waiting 1012–1013 yr for the CMB to cool from 2.73 K to < 10−3 K multiplies the irreversible-ops budget per joule by a factor of order 1030. The gain is genuine and enormous — if the limiting factor is Landauer cost and if the cold future reservoir is genuinely new (not accessible today). Bennett, Hanson & Riedel (2019) contested exactly this conditional: deep space is already at ~3 K or colder today; a sufficiently large radiator can already approximate the future cold sink. If you can dissipate into a ∼3 K reservoir right now, you capture most of the gain without waiting. The reversibility fraction slider in the tool separates the two cases: near-zero reversibility means you pay full Landauer cost and aestivation gives a 1030× gain; near-one reversibility means you pay almost nothing now and the waiting gain vanishes.

Open Aestivation Calculator → Established (Landauer / CMB cooling) Theoretical (Sandberg thesis)
Step payoff
Read the "gain vs. wait" panel: at Δt = 10¹² yr and fully irreversible computing (rev = 0), Sandberg's ×10³⁰ gain appears. Switch to near-reversible (rev = 0.999) and the gain collapses to near-zero — the Bennett counter-argument. The tool shows both numbers side by side so you can see which scenario you're in. The question for the MTH is: does it matter? The ergosphere provides a gain that is neither thermal nor reversibility-dependent.
⚠ Bennett, Hanson & Riedel 2019 counter-argument
Cold space (~3 K background, < 10 K in deep inter-cluster voids) is already available as a heat sink. The aestivation gain is only real if the future low-temperature reservoir is genuinely unavailable now. If you can build a large enough radiator today — which is not obviously impossible for a K-II or K-III civilisation — you capture the Landauer gain without waiting 10¹² years. Sandberg's response: the total future temperature is lower, not just accessible, and the gain is also larger in absolute magnitude. The debate is unresolved in the literature.
03
Tool 4 · Bekenstein–Landauer–Lloyd limits
What does the ops budget look like after the wait?

Once the universe has cooled to < 10−3 K, what can you actually compute per joule? The Bekenstein-Landauer-Lloyd tool shows three limits simultaneously: the Bekenstein bound (maximum information content of a finite region at finite energy), the Landauer limit (minimum energy per irreversible operation at temperature T), and the Lloyd limit (maximum operations per second on a physical system of energy E, from the time-energy uncertainty principle). In the cold future, the Landauer limit approaches zero and the Lloyd limit is the binding constraint. In the aestivation scenario, the payoff is the Landauer ops/s per watt: at 10−9 K, you get ~1030× more operations per joule than at 2.73 K today. In the MTH scenario, you instead use the IMBH BZ power (P ≈ 1036–1038 W) combined with the cold-universe Landauer limit — giving an operations budget that dwarfs any aestivating civilisation purely through power scale.

Open Bekenstein-Landauer-Lloyd → Established (Bekenstein 1981 / Landauer 1961 / Lloyd 2000)
Step payoff
Compare the Landauer ops/s between scenarios: at T = 2.73 K (now), a 10³⁰ W civilisation runs ~10⁶² ops/s. At T = 10⁻⁹ K (after aestivation), the same power runs ~10⁹¹ ops/s — a ×10²⁹ gain. But the MTH IMBH at BZ power ≈ 10³⁶–10³⁸ W runs ≥10⁶⁸–10⁷⁰ ops/s even at today's CMB temperature. The ergosphere wins over aestivation purely through power scale, not thermodynamics. Aestivation and MTH are additive.
04
Tool 7 · Hawking evaporation
The waiting game: does the IMBH outlast the wait?

The aestivation argument requires civilisations to survive hibernation for 1012–1013 years — roughly 70–700 times the current age of the universe. For the MTH to be compatible with aestivation, the IMBH must still exist after that wait. Hawking evaporation gives the answer directly: the evaporation timescale scales as M3. For the ω Cen IMBH at ≥ 8,200 M, the evaporation time is ~1083–1086 yr — roughly 70 to 73 orders of magnitude longer than any aestivation wait. The IMBH not only survives the wait; it is essentially eternal on aestivation timescales. The tool also shows that at this mass, the Hawking temperature is ~10−18 K — far below the CMB — so the black hole is currently absorbing, not evaporating. It will begin to evaporate only when the CMB cools below its Hawking temperature, which happens after the aestivation window anyway. The MTH endpoint is safe.

Open Hawking Evaporation → Established (Hawking 1974)
Step payoff
Evaporation time for 8,200 M☉: ~10⁸⁴ yr. Aestivation wait: 10¹² yr. The ratio is 10⁷² — the IMBH will outlast the aestivation wait by 72 orders of magnitude. Hawking temperature: ~10⁻¹⁸ K — the IMBH is currently a net absorber in the 2.73 K CMB bath. Both aestivation and MTH are fully compatible: a civilisation could hibernate for 10¹² yr, return to an intact IMBH, and then operate the ergosphere at maximum efficiency in a cold universe.
▸ Aestivation and MTH are not in competition

The original Sandberg/Armstrong/Cirkovic (2017) claim was that thermodynamic logic alone explains the Fermi silence: civilisations hibernate because it is computationally advantageous to wait. The Bennett/Hanson/Riedel (2019) response was that cold reservoirs already exist today, so the waiting gain is largely illusory. Neither side disputes the underlying Landauer physics — only whether the future cold reservoir is a new resource or an already-available one.

What this chain of four tools shows is that the debate is somewhat orthogonal to the MTH. The Macro Transcension Hypothesis does not rely on waiting for cosmic cooling; it relies on gravitational time dilation near the event horizon, which is available today. An advanced civilisation inside an ergosphere experiences subjective time at a rate orders of magnitude faster than external coordinate time — independently of the ambient temperature. Aestivation offers a thermal multiplier; the ergosphere offers a relativistic multiplier. They stack.

The OCS test case — the ω Cen IMBH — has an evaporation lifetime of ~1084 yr, which means it is available as an MTH endpoint through any plausible aestivation window, any plausible cosmological epoch, and any plausible future history of the universe short of a Big Rip or fundamental change in black-hole physics. See Demo F for the Fermi prior framing, and Demo J for the full six-tool chain from Drake priors to IMBH computation budget.

WANT THE LIVE CASCADE VERSION?   ⚡ Wait or Act? workflow — aestivation vs. MTH with a live verdict that updates as you move the sliders.

EPISTEMIC TIERS: Established = peer-reviewed physics within the standard formulation. Debated = active disagreement in the published literature. Theoretical = published framework, awaiting decisive observation. Speculative = physically motivated extrapolation, not yet observationally constrained.