G7 · The Scientist Gallery · Attribution Series
PHYSICS · COSMOLOGYPROFILE

Nikolai Kardashev

His 1964 paper is about signalling, and its Type I is roughly mankind in 1963. The ladder Kaku's books and a 2026 preprint print under his name starts thousands of times higher — and the paper itself points at Dyson, whom the corpus's Dyson chapter never connects to it.

Part I · The Paper

A paper about radio, with a scale inside it

N. S. Kardashev, “Transmission of Information by Extraterrestrial Civilizations”, Soviet Astronomy 8, 217–221 (1964) — the translation of Astronomicheskii Zhurnal 41(2), 282–287, submitted 12 December 1963, from the P. K. Shternberg Astronomical Institute, as the scan prints it. It is held as an image with no text layer; the script reads it by OCR. Its subject is what its title says: how to signal across space with the least noise, and what power a civilization must command for a signal to be picked up by conventional radio astronomy. It ends by speculating that two known radio sources, CTA-21 and CTA-102, might be artificial. The word “infrared” is on none of its five pages.

The three types appear on p. 219 of the journal, introduced after the growth argument as a convenient way to sort technologically developed civilizations:

TypeAs the paper defines itPower
Itechnological level close to the level presently attained on the earth≈ 4×1019 erg/s = 4×1012 W
IIharnessing the energy radiated by its own star (for example, the stage of successfully building a “Dyson sphere”, reference [6])≈ 4×1033 erg/s = 4×1026 W
IIIin possession of energy on the scale of its own galaxy≈ 4×1044 erg/s = 4×1037 W

The growth argument is on p. 218. Mankind's energy use per second at the time is about 4×1019 erg; statistics put the annual increase at 3–4% over the next sixty years; he assumes 1%; and at 1% the Sun's output is reached 3200 years from now and the output of 1011 stars in 5800. The script recomputes it: from 4×1019 erg/s at 1% a year, 3,240 years reach 4×1033 and 5,785 reach 4×1044. His arithmetic holds, and his Type II, 4×1026 W, is the solar luminosity to within ten percent.

How the exponents were read The superscripts are the one thing OCR gets wrong. So the script does not read them: it derives them from the years the paper prints. 3200 and 5800 years at 1% are 13.8 and 25.1 decades above Type I, which is 14 and 25, so Type III is 11 decades above Type II. The table above was keyed by eye from the scan and agrees with those gaps exactly. The script prints SKIP, not PASS, without the scan or without tesseract.
Part II · Four Ladders

What three later texts print under his name

TextType IType IIType IIISteps
Kardashev 19644×1012 W4×10264×103714, 11 decades
Kaku, Parallel Worlds1016 W1026103610, 10
Kaku, Physics of the Future1017 W1027103710, 10
Sharma 2026 (arXiv 2605.22840)1016 W1026103710, 11

Four different ladders. The difference that matters is the first rung. Kardashev's Type I is a level of technology, roughly mankind as of 1963, about 1/43,000 of the sunlight the Earth intercepts (1.74×1017 W; reference values CITED). Both of Kaku's books and the 2026 preprint instead print Type I as the planet's sunlight — 1016 or 1017 W, which is 2,500 or 25,000 times his. The preprint is the sharpest case: it says Kardashev [1964] proposed Type I as the energy striking a planet from its star, and its reference is this paper, Soviet Astronomy 8:217–221. The paper does not say that. On Sagan's index, as the preprint gives it, $K=(\log_{10}P-6)/10$, Kardashev's own Type I is $K=0.66$ and humanity at 2.0×1013 W is 0.73; a “Type 0” has no counterpart in the paper at all.

Not claimed This is a finding about attribution, not about physics. A later grading may redefine the rungs, and a redefinition can be reasonable. What the script shows is only that the paper does not contain the ladder the three texts print under its name. Where the 1016 W ladder came from — Sagan's grading is one candidate, and both Kaku's book and the preprint mention him — is not checked: his text is not held (WANTED).
Part III · A Rung Is a Rate, and Dyson

The rate, the waste heat, and the sphere

In the paper the years come from a growth rate he assumes, not from the scale. Ten to the fourteenth at 1% is 3,240 years; the books' 1010 rung is 2,314 years at 1%, 1,163 at 2% and 779 at 3%. The scale fixes a distance on the log axis; a rate, which is an assumption about a civilization, fixes the time. Two waste-heat sentences in Kaku's Physics of the Future (they are not in the 1964 paper, which is about radio) also recompute: a shell absorbing the Sun's whole output at 1 AU sits at 394 K and peaks at 7.4 micrometres, in the infrared; an Earth-sized planet running a star's output, half of it shed as heat from the surface, reaches about 50,700 K, far above any melting point. Reference values CITED; “half” is the lower of two readings.

The paper's Type II is exemplified by a Dyson sphere, and it cites Dyson's own paper for it as Science 131, 1667 (1959). That paper is now held, and the page is dated 3 June 1960: Kardashev's year is off by one (recorded, not corrected in his text). Dyson's argument is the one the 1964 paper reuses. He says a growth of 1012 in energy use takes “say 3000 years” at 1 percent a year (the script gets 2,777, so his “say” is a round number); Kardashev's first rung, 1014, takes 3,240 and he prints 3200. Dyson puts a shell of Jupiter's mass at twice the Earth's distance from the Sun, about 200 g per square centimetre, 2 to 3 metres thick, radiating at 200 to 300 K near 10 micrometres. The full-output shell of the paragraph above, moved from 1 AU to his 2 AU, comes to 278 K with a peak at 10.4 micrometres: inside his range, so that recomputation and his page agree. (The 1 AU figure is a different geometry, not a correction of him.) Book 7 has a chapter on Freeman Dyson. The script counts what its own text says of spheres, infrared, civilizations, Kardashev or SETI: nothing. So the connection is not only in the popular books; the primary source draws it and the corpus does not. It is offered here as a gap. Dyson's paper is held and checked against; the Dyson chapter is still not edited.

Part IV · What This Chapter Does Not Say, and Where It Connects
Not established Not checked, on purpose. Sagan's own grading and whether the 1016 W ladder is his: the Cosmic Connection file supplied holds only the front matter and chapter 1; its contents list “Astroengineering” (p.229) and “Twenty Questions: A Classification of Cosmic Civilizations” (p.233), in the 2000 edition's pagination, and those pages are WANTED. What a Dyson-sphere infrared search actually did afterwards. Dyson's growth factor (1012) was read from the page image, not machine-read. The superscripts of the 1964 scan are derived, not machine-read. The 2026 preprint is a preprint; this chapter checks what it prints, not whether it has been reviewed.

Connected to: Kaku, whose books this checks against the paper; Kikkawa, whose duality is a reflection where this is a translation; Dyson, the unmade link; and chGravity-scales. Before these chapters no page of the corpus mentioned the Kardashev scale.

References
HeldN. S. Kardashev, Transmission of information by extraterrestrial civilizations, Soviet Astronomy 8, 217–221 (1964) — image scan, 5 pages, md5 b56ee267….
HeldS. Sharma, The Cognitive Kardashev Scale, arXiv:2605.22840v2 (21 July 2026) — md5 bc9145ba….
HeldM. Kaku, Parallel Worlds (md5 55ac8f9f…), Physics of the Future (acfb72df…), Physics of the Impossible (9ebecaa5…); PDF pages as the script prints them.
HeldF. J. Dyson, Search for artificial stellar sources of infrared radiation, Science 131, 1667–1668 (3 June 1960) — md5 313de857…; cited by the 1964 paper as 1959.
Held, partC. Sagan, Carl Sagan's Cosmic Connection (Cambridge, 2000 edition of the 1973 book): front matter and chapter 1 only.
WantedSagan, chapters 33–34 (pp.229–240, 2000 edition), and the 1973 pagination; Kardashev's later work.
CitedStefan–Boltzmann constant, Wien constant, solar luminosity, astronomical unit, Earth radius: reference values, not held.
Corpusch-dyson, ch-kaku, ch-kikkawa, chGravity-scales.
Scriptch-kardashev-verify.py — every sentence, page and number above; SKIP, not PASS, without a scan or a tool.
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