The equation · piece 6 of 7 · fc
The share of intelligent species that make themselves detectable
Given an intelligent species, how likely it is to do something we could notice from here: leak or send radio, light up its planet, change its atmosphere, build things in space. Drake had deliberate radio messages in mind; the modern reading is broader, since our own radar, television and city lights have made Earth detectable to a neighbour with a good enough telescope without our choosing it. The factor also covers the choice not to be found, which is where several of the explanations for the silence live. Nothing here is measured; every figure is an assumption.
set on 16 October 2026
When the number on the home page is computed, a value for this piece is picked at random from this range each time, and every tenfold step between the two ends is equally likely.
Why that range
The 2018 paper's span of 0.01 to 1, kept as it is: it covers Drake's one in ten to one in five, Sagan's one in ten and Westby and Conselice's 1, and nothing has been measured that would move either end. The floor of 0.01 allows for species that never build radio, or build it and stay quiet, which several explanations (the dark forest, the zoo hypothesis) say is the norm. Evenly spread across its powers of ten, as in the 2018 paper.
Rests on: Sandberg and others, 2018.
The published estimates
4 estimates on the record, oldest first. Each says who made it, when, how, and where to find it. A range is set from these by hand, with the reason above, never computed from them: the reason is the arguable part.
| When | Who | Estimate | How it was reached |
|---|---|---|---|
| 1961 | Frank Drake and the Green Bank meetingGreen Bank meeting of November 1961, as recorded in Drake and Sobel, Is Anyone Out There? (Delacorte, 1992), pages 55 to 62 (drake-1961) | 0.1 to 0.2 | Educated guess: one in five to one in ten intelligent species would build radio and choose to signal. |
| June 2018 | Anders Sandberg, Eric Drexler and Toby OrdSandberg, Drexler and Ord, 'Dissolving the Fermi Paradox', arXiv:1806.02404 (2018), Table 1 (sandberg-2018) | 0.01 to 1 | A span evenly spread across its powers of ten, from the published estimates of 0.01 to 1, with the paper's remark that a broader range is clearly intended by some authors. |
| June 2020 | Tom Westby and Christopher ConseliceWestby and Conselice, 'The Astrobiological Copernican Weak and Strong Limits for Intelligent Life', Astrophysical Journal 896, 58 (2020) (westby-2020) | 1 | Assumed: every civilisation that develops as ours did is taken to be communicating, for an average of 100 years. |
| June 2020 | Alex De VisscherDe Visscher, 'Artificial versus biological intelligence in the Cosmos: clues from a stochastic analysis of the Drake equation', International Journal of Astrobiology 19(5), 353-359 (2020) (de-visscher-2020) · in the log | 0.01 to 1 | For intelligent biological species able to communicate across space, took the 2018 paper's span of 0.01 to 1 as it stands, so it is not an independent estimate. The paper also assumes 0.0001 to 1 for the further chance that such a species builds a machine intelligence able to communicate, as the first chance squared; that is a figure for a different thing and is not used here. Added on 2026-10-17 (outside review, item 16). |
What would move this
The discovery that would narrow the range
A published argument with a number on how often technological species stay quiet or go dark and that isolates this factor; survey limits on how many transmitters or technological signatures could be nearby (the Breakthrough Listen limits) are logged here too, but they bound the product of all seven factors and move this range only together with such an argument.When a paper or a survey of that kind is published, it is logged in the story so far with a note saying whether it moved this range. A move is written as a dated revision below, with the old number, the new one and the reason.
The last reading
Once a week the records are read against the news, each against the test above. Open a line to see what that week held. Every reading ever made of this record is on the reading page.
-
2026-10-16 Logged, no change By hand
No detection. Four new bounds and follow-ups: Mason, Garrett and Siemion (2025-11-25) limit steady beacons of at least five times ten to the sixteen watts to fewer than about one in a hundred thousand stellar systems within 2.5 kiloparsecs, by counting every star that fell in the beam of a Breakthrough Listen survey; Huang, Tao and Zhang (2026-01) find no galaxy-scale waste heat in nearby galaxies, with at most about one in 6,500 able to host it; Korn and others (2026-07-28) find two of the seven Dyson-sphere candidates of 2024 are background galaxies and none confirmed; Garrett (2026-08-31) proposes a search for cold waste heat at submillimetre wavelengths. The bounds are on strong, steady transmitters, which the range's low end of 0.01 already allows to be rare, so the range stays.
Mason, 2025Huang, 2026Korn, 2026Garrett, 2026 source 1source 2source 3source 4
How the range has moved
| Date | What | From | To | Why |
|---|---|---|---|---|
| 16 October 2026 | estimate (Carl Sagan, 1980) | value 0.1, 'a round guess, one tenth' | removed | Checked against Cosmos (1980), chapter 12, on 2026-10-16: Sagan writes 'let us choose fi x fc = 1/100' and gives no value for the detectable factor alone, so one tenth is not a published estimate of it. The range and its first-pass reasoning are untouched; the reasoning's mention of Sagan's one in ten should be revisited at the outside review. |
| 17 October 2026 | what_would_move_this | A survey result that bounds how many transmitters or technological signatures could be nearby (the Breakthrough Listen limits), or a published argument with a number on how often technological species stay quiet or go dark. | A published argument with a number on how often technological species stay quiet or go dark and that isolates this factor; survey limits ... are logged here too, but they bound the product of all seven factors and move this range only together with such an argument. | Ruled by John 2026-10-17 on the outside review (item 17, accepted in part): the reviewer rightly said a radio search bounds the product of all seven factors and not this one alone, but the line also drives the weekly reading's searches and survey limits are worth logging here, so the survey half stays with that warning. |
| 17 October 2026 | estimate | three published estimates | four: De Visscher (2020), 0.01 to 1 for the biological route, added; Shostak's chapter (2015) logged as a publication without an estimate | Ruled by John 2026-10-17 on the outside review (item 16). The figures the reviewer attributed to the two papers could not be confirmed as estimates of this factor: De Visscher's 0.0001 is for the machine route, and Shostak's chapter could not be read. The range is unchanged.Because of Artificial versus biological intelligence in the Cosmos: clues from a stochastic analysis of the Drake equation. |
| 17 October 2026 | range.status | first-pass | reviewed | The outside review of the seven ranges ran on 2026-10-17 and John ruled on every item the same day (docs/reviews/2026-10-17-rulings.md). |
The explanations that lean on this piece
An explanation for the silence is, in the end, a claim about one or more of the seven pieces. 13 explanations say this piece is smaller than it looks; 7 leave it alone and say the silence is about us.
- Aestivation: advanced civilisations are asleep, waiting for the universe to cool so that their thinking will go further on the same energy They are there and we cannot see them says this piece is smaller than it looks
- Berserkers: self-copying machines built long ago still roam the galaxy and destroy any civilisation that shows itself They are gone says this piece is smaller than it looks
- Civilisations burn out: the fast growth that makes a civilisation detectable also uses up its planet, and the ones that survive are the ones that slow down and go quiet They are gone says this piece is smaller than it looks
- Everyone listens and nobody transmits: if every civilisation makes the same cautious choice we have made, the galaxy is full of ears and empty of voices They are there and we cannot see them says this piece is smaller than it looks
- Expansion stalls: civilisations do spread between stars, but settlement spreads like a stain, not a flood, and leaves large regions, perhaps ours, never reached They are there and we cannot see them leaves this piece where it is; the silence is about us
- Interstellar travel is impractical: the distances are so great and the costs so high that nobody ever goes anywhere, so nobody has come here They are there and we cannot see them leaves this piece where it is; the silence is about us
- Life under ice: most living worlds may be oceans sealed under miles of ice, whose inhabitants never see the sky They are there and we cannot see them says this piece is smaller than it looks
- No interest in contact: they exist, they could reach us, and they simply do not care to They are there and we cannot see them says this piece is smaller than it looks
- Rare technology: a world can be full of clever creatures that never build a radio, because minds and machines are different things They were never there says this piece is smaller than it looks
- Shouting is costly: a beacon that could be heard across the galaxy is expensive to run, so anyone sending one sends short pulses, rarely, and our searches almost never catch them They are there and we cannot see them says this piece is smaller than it looks
- The dark forest: everyone is hiding, because announcing yourself gets you killed They are there and we cannot see them says this piece is smaller than it looks
- The inward turn: once a civilisation can build worlds of its own, made to measure and always rewarding, it stops bothering with the real one They are there and we cannot see them says this piece is smaller than it looks
- The planetarium: an advanced civilisation is projecting an empty sky around us so that we believe we are alone They are there and we cannot see them leaves this piece where it is; the silence is about us
- The simulation: the universe we observe is a computer model, and whoever is running it did not bother to include anyone else They are there and we cannot see them leaves this piece where it is; the silence is about us
- The zoo hypothesis: they know we are here and have agreed to leave us alone, the way a park leaves its wildlife undisturbed They are there and we cannot see them says this piece is smaller than it looks
- They are already here: visitors or their machines have reached the solar system, now or long ago, and we have not recognised them They are there and we cannot see them leaves this piece where it is; the silence is about us
- They became machines: the typical advanced civilisation is no longer biological, and machine minds live, think and travel in ways our searches do not expect They are there and we cannot see them says this piece is smaller than it looks
- Transcension: advanced civilisations shrink inward into ever denser, faster worlds of their own making, and leave the sky behind They are there and we cannot see them says this piece is smaller than it looks
- We are listening the wrong way: an efficient message is indistinguishable from noise, and they may not be using radio at all They are there and we cannot see them leaves this piece where it is; the silence is about us
- We have not looked long enough: all the searching ever done amounts to a glass of water dipped from the ocean They are there and we cannot see them leaves this piece where it is; the silence is about us
The papers that bear on it
- Artificial versus biological intelligence in the Cosmos: clues from a stochastic analysis of the Drake equation 23 June 2020 Alex De Visscher · logged; moved no range
- Fraction of civilizations that develop a technology that releases detectable signs of their existence into space, fc, 1961 to the present July 2015 Seth Shostak · logged; moved no range
- Slysh haloes: the waste heat of cold computing as a submillimetre technosignature 31 August 2026 Michael Garrett · logged; moved no range
- Project Hephaistos III. Characterizing Anomalous Infrared Sources Identified As Dyson-sphere Candidates 28 July 2026 Andreas J. Korn, Matías Suazo, Erik Zackrisson, Pía Cortés-Zuleta, Adam D. Rains, Armin Nabizadeh · logged; moved no range
- Some Thoughts on the Future of Technosignature Searches: Constraining the Fermi Paradox 30 May 2026 Ian A. Crawford · logged; moved no range
- The Search for Technosignatures: a Review of Possibilities 20 May 2026 Clément Vidal, Benji L. Fields, Damian R. Sowinski, Stuart Bartlett, Richard J. Terrile, Alex Ellery, Daliah Bibas, Armando M. Mastrogiovanni, Niklas Döbler, Manika Singla, Julia DeMarines, Theresa Fisher, and 7 others · logged; moved no range
- WISE/CatWISE Constraints on Dysonian Waste-Heat Technosignatures in Nearby Galaxies January 2026 Huang, Tao, Zhang · logged; moved no range
- Simulating the Stellar Bycatch: Constraining the Prevalence of Extraterrestrial Transmitters within Radio SETI Surveys 25 November 2025 Louisa A. Mason, Michael A. Garrett, Andrew P. V. Siemion · logged; moved no range
- Blink and you'll miss it: How Technological Acceleration Shrinks SETI's Narrow Detection Window 28 September 2025 Michael Garrett · logged; moved no range
- If Loud Aliens Explain Human Earliness, Quiet Aliens Are Also Rare December 2021 Robin Hanson, Daniel Martin, Calvin McCarter, Jonathan Paulson · logged; moved no range
- The Breakthrough Listen Search for Intelligent Life Near the Galactic Center. I. July 2021 Vishal Gajjar, Karen I. Perez, Andrew P. V. Siemion, Griffin Foster, Bryan Brzycki, and 21 others · logged; moved no range
- Extending the Breakthrough Listen nearby star survey to other stellar objects in the field September 2020 Bart S. Wlodarczyk-Sroka, Michael A. Garrett, Andrew P. V. Siemion · logged; moved no range
- The Breakthrough Listen Search for Intelligent Life: Observations of 1327 Nearby Stars over 1.10–3.45 GHz 5 February 2020 Danny C. Price, J. Emilio Enriquez, Bryan Brzycki, Steve Croft, Daniel Czech, David DeBoer, Julia DeMarines, Griffin Foster, Vishal Gajjar, Nectaria Gizani, Greg Hellbourg, Howard Isaacson, Brian Lacki, Matt Lebofsky, David H. E. MacMahon, Imke de Pater, Andrew P. V. Siemion, Dan Werthimer, and 6 others · logged; moved no range
- How Much SETI Has Been Done? Finding Needles in the n-dimensional Cosmic Haystack November 2018 Jason T. Wright, Shubham Kanodia, Emily Lubar · logged; moved no range
- Dissolving the Fermi Paradox 6 June 2018 Anders Sandberg, Eric Drexler, Toby Ord · moved a range
- A New Empirical Constraint on the Prevalence of Technological Species in the Universe May 2016 Adam Frank, Woodruff T. Sullivan III · logged; moved no range
- That is not dead which can eternal lie: the aestivation hypothesis for resolving Fermi's paradox 2016 Anders Sandberg, Stuart Armstrong, Milan M. Ćirković · logged; moved no range
- The Fermi Paradox Is Neither Fermi's Nor a Paradox March 2015 Robert H. Gray · logged; moved no range
- Eternity in six hours: Intergalactic spreading of intelligent life and sharpening the Fermi paradox August 2013 Stuart Armstrong, Anders Sandberg · logged; moved no range
- The transcension hypothesis: Sufficiently advanced civilizations invariably leave our universe, and implications for METI and SETI September 2012 John M. Smart · logged; moved no range
- Fermi's Paradox: The Last Challenge for Copernicanism? June 2009 Milan M. Ćirković · logged; moved no range
- The Sustainability Solution to the Fermi Paradox 2009 Jacob D. Haqq-Misra, Seth D. Baum · logged; moved no range
- Are You Living in a Computer Simulation? April 2003 Nick Bostrom · logged; moved no range
- The Fermi Paradox: An Approach Based on Percolation Theory 1998 Geoffrey A. Landis · logged; moved no range
- The 'Great Silence': the Controversy Concerning Extraterrestrial Intelligent Life 1983 Glen David Brin · logged; moved no range
- Extraterrestrial Intelligent Beings do not Exist 1980 Frank J. Tipler · logged; moved no range
- An Explanation for the Absence of Extraterrestrials on Earth 1975 Michael H. Hart · logged; moved no range
- The Zoo Hypothesis July 1973 John A. Ball · logged; moved no range
- The Drake Equation, as written for the Green Bank conference on extraterrestrial intelligent life November 1961 Frank Drake, and the Green Bank meeting: Dana Atchley, Melvin Calvin, Su-Shu Huang, John Lilly, Philip Morrison, Bernard Oliver, Carl Sagan, Otto Struve, J. Peter Pearman · logged; moved no range
Books and films that take it up
- A Fire Upon the Deep 1992 Book · Vernor Vinge
- Accelerando 2005 Book · Charles Stross
- Arrival (from Ted Chiang's 'Story of Your Life', 1998) 2016 Film · Denis Villeneuve (film); Ted Chiang (story)
- Blindsight 2006 Book · Peter Watts
- Contact 1985 Book · Carl Sagan (novel); Robert Zemeckis (film, 1997)
- Diaspora 1997 Book · Greg Egan
- Excession (and the Culture novels, 1987 to 2012) 1996 Book · Iain M. Banks
- Fiasco 1986 Book · Stanisław Lem
- His Master's Voice 1968 Book · Stanisław Lem
- Science & Futurism with Isaac Arthur: the Fermi Paradox series 2016 Video · Isaac Arthur (YouTube channel)
- Life Beyond (chapters 1 to 3) 2019 Video · John D. Boswell (melodysheep, YouTube channel)
- Pandora's Star (and its second half, Judas Unchained, 2005) 2004 Book · Peter F. Hamilton
- Permutation City 1994 Book · Greg Egan
- Rendezvous with Rama 1973 Book · Arthur C. Clarke
- Revelation Space (and its sequels Redemption Ark and Absolution Gap) 2000 Book · Alastair Reynolds
- Roadside Picnic 1972 Book · Arkady and Boris Strugatsky
- Solaris 1961 Book · Stanisław Lem (novel); films by Andrei Tarkovsky (1972) and Steven Soderbergh (2002)
- Star Trek and the Prime Directive 1966 Television · Gene Roddenberry and successors (Paramount)
- The Forge of God (and its sequel Anvil of Stars, 1992) 1987 Book · Greg Bear
- The Killing Star 1995 Book · Charles Pellegrino and George Zebrowski
- The Sparrow 1996 Book · Mary Doria Russell
- Remembrance of Earth's Past (The Three-Body Problem, The Dark Forest, Death's End) 2008 Book · Liu Cixin
Notes
The founding pessimist papers, Hart (1975, hart-1975) and Tipler (1980, tipler-1980), do not estimate this factor; they argue from the absence of visitors and of self-copying probes that no detectable civilisation exists in the galaxy at all, and Brin's 1983 survey of the silence (brin-1983) collects the answers. Those are explanations and are written up as such. Tarter (2001, page 544) notes that searches at today's sensitivity could detect the equivalent of strong television transmitters at 1 light-year, military radars at 300 and the Arecibo planetary radar at 3,000, so by the broad reading this factor is at least the share of species that reach our level of technology and do not hide. Corrected 2026-10-16 against the sources: Carl Sagan's one tenth was removed (his Cosmos, chapter 12, gives only the product of the intelligence and detectable factors, one in a hundred, never this factor alone; see the revision below); Forgan and Elvis (2011) is a paper on asteroid mining as evidence of aliens and says nothing about Earth being detectable, so it is dropped; and the range's reason below still names 'Sagan's one in ten' and should be revisited at the outside review (the range is unchanged). Written 2026-10-16. Outside review, 2026-10-17, ruled by John the same day: lowering the floor from 0.01 to 0.0001 (item 15) was accepted only if De Visscher (2020, de-visscher-2020) gives a range reaching 0.0001 for this factor, and the condition was not met, so the floor stays at 0.01. The paper does print 0.0001 to 1, but for a different quantity: the chance that an intelligent biological species goes on to build a machine intelligence able to communicate across space, which the author sets by assuming the extra step is as selective as the first, so that it is the first one squared. For the biological route, this factor's own subject, the paper takes the 2018 paper's 0.01 to 1 as it stands, which is the range used here. The figure is an assumption for a different thing, and it cannot lower the floor of a share that is already counted over either route (at 0.0001 the scratch headline was 65% alone in the galaxy against 59%). If John reads the paper otherwise, the change is one line and a revision. The reviewer's second paper (item 16), Shostak's chapter 12 in the 2015 Cambridge volume, is in the log (shostak-2015) with its figure left out because the chapter could not be read. The test line was reworded to say survey limits are logged but move the range only with an argument that isolates this factor (item 17).
Think the range should move? Argue it, with a source. Spotted an error on this page? Say so. Or read how disagreement gets folded in.
The record itself is data/factors/detectable.toml in the public repository.