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Kardashev scale

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Classification of civilizations by the power they use, proposed by Nikolai Kardashev in 1964

The Kardashev scale is a way of classifying a civilization by the rate at which it uses energy. The Soviet astronomer Nikolai Kardashev proposed it in 1964 with three types: a civilization of type I uses about as much power as Earth did at the time, type II uses the output of its star, and type III uses the output of its galaxy. It appeared in a paper titled "Transmission of information by extraterrestrial civilizations".[1]

Origin

Nikolai Kardashev (1932 to 2019) was a radio astronomer in Moscow. He founded the Astro Space Center of the Lebedev Physical Institute in 1990, led the RadioAstron space interferometry mission, and had proposed very-long-baseline interferometry in the early 1960s.[2] He presented the scale at a conference at Byurakan, Armenia, in 1964, and the paper appeared the same year in Astronomicheskii Zhurnal and, in English, in Soviet Astronomy.[1]

The paper asked how much power a transmitter could command, since that decides how far away its signal could be detected. It gave three round numbers and cited two radio sources, CTA-102 and CTA-21, as having characteristics close to those of an artificial source. CTA-102 is now known to be the nucleus of a distant active galaxy.

Types

The three types, in watts
Type Kardashev (1964) Sagan (1973) Described as
I 4 × 1012 1016 Close to the level on Earth in 1964
II 4 × 1026 1026 The output of a star, about the Sun's
III 4 × 1037 1036 The output of a galaxy, about the Milky Way's
A logarithmic axis of power in watts from 10 to the 12 to 10 to the 38, marked with the Kardashev and Sagan definitions of types I, II and III, the sunlight intercepted by Earth and the power used by humanity
Power on a logarithmic axis with the types of the Kardashev scale as Kardashev defined them in 1964 (solid) and as Sagan's formula assigns them (outlined). The value for humanity is calculated from an energy supply of about 600 exajoules a year.

Kardashev gave his values in ergs per second: 4 × 1019, 4 × 1033 and 4 × 1044. Carl Sagan, in The Cosmic Connection of 1973, added a formula that gives a civilization any fractional rating, and that assigns ratings 1, 2 and 3 to 1016, 1026 and 1036 W,

K=log10P−610,

where P is the power in watts.[3] Kardashev's steps are 1014 from type I to type II and 1011 from II to III. Sagan's are 1010 each. By his formula Kardashev's own type I has a rating of 0.66.

The Energy Institute reported that world energy supply exceeded 600 exajoules in 2025. That averages about 19 terawatts, a rating of 0.73, and 4.7 times Kardashev's type I.[4] Sagan's type I, at 1016 W, is about 6% of the 1.7 × 1017 W of sunlight that Earth intercepts, and a type II civilization at 1026 W uses a quarter of the Sun's 3.8 × 1026 W.[a]

Extrapolation is arithmetic. A civilization that used 19 TW and grew by 2% a year would take 461 years to use all the sunlight that Earth intercepts and 1,547 years to use the Sun's whole output. At 4% a year the times are 233 and 781 years, and at 1% they are 917 and 3,079.[b] Newman and Sagan modeled the spread of galactic civilizations by their population dynamics and interstellar diffusion.[5]

Dyson spheres

Type II implies a way of collecting a star's output. In 1960 Freeman Dyson had suggested that a civilization might surround its star with a shell or swarm of matter to capture the light, and that such structures would shine in the infrared and could be searched for.[6] Whatever power a civilization uses must in the end be radiated away as heat, and that heat is the signal. The structure is called a Dyson sphere, and it is the standard illustration of the scale. See Freeman Dyson.

Other scales

Sagan also proposed rating a civilization by the information it holds, in classes lettered from A, at 106 bits, upward by factors of ten, and put humanity in 1973 at about 0.7 H.[3]

John Barrow, in Impossibility of 1998, proposed a scale that runs inward. On it a civilization of type I-minus manipulates objects of its own size, type II-minus manipulates genes, type III-minus molecules, type IV-minus individual atoms, and types V-minus and VI-minus nuclei and elementary particles.[7]

At Molecular Reality

In February 2026 the website of Molecular Reality Corporation described the volunteer network it calls the Molecular Streaming Corps as a "Global Hyper-Instrument", "a virtual machine that we could not build monolithically at our Kardashev level".[8] The company's About page calls the Corps a virtual "ultra-instrument" (see Ultra-Device).[9] The company's glossary lists a "Kardashev level" among its terms (see Glossary of Molecular Reality jargon and List of unusual units used at Molecular Reality).

See also

Notes

  1. ^ The sunlight intercepted by Earth is πR2 times the solar constant: π × (6.371 × 106 m)2 × 1,361 W/m2 = 1.7 × 1017 W. The nominal solar luminosity is 3.828 × 1026 W.
  2. ^ Calculated as ln(target ÷ 1.9 × 1013 W) ÷ ln(1 + growth rate), with targets of 1.7 × 1017 W and 3.8 × 1026 W.

References

  1. ^ a b Kardashev, N. S. (1964). "Transmission of information by extraterrestrial civilizations". Soviet Astronomy 8 (2): 217. Bibcode:1964SvA.....8..217K.
  2. ^ "Vale Nikolai Kardashev". Australia Telescope National Facility, CSIRO. August 8, 2019.
  3. ^ a b Sagan, C. (1973). The Cosmic Connection: An Extraterrestrial Perspective. Anchor Press/Doubleday.
  4. ^ "Statistical Review of World Energy 2026". Energy Institute. July 2, 2026.
  5. ^ Newman, W. I.; Sagan, C. (1981). "Galactic civilizations: Population dynamics and interstellar diffusion". Icarus 46 (3): 293-327. doi:10.1016/0019-1035(81)90135-4.
  6. ^ Dyson, F. J. (1960). "Search for artificial stellar sources of infrared radiation". Science 131 (3414): 1667-1668. doi:10.1126/science.131.3414.1667.
  7. ^ Barrow, J. D. (1998). Impossibility: The Limits of Science and the Science of Limits. Oxford University Press.
  8. ^ "Molecular Reality Corporation (website)". Molecular Reality Corporation. February 26, 2026.
  9. ^ "Join Kemmishtree in our Club to Cure All Diseases". Molecular Reality Corporation. 2026.
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