Pseudoscientific metrology
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Some approaches in the branch of historic
metrology Metrology is the scientific study of measurement. It establishes a common understanding of units, crucial in linking human activities. Modern metrology has its roots in the French Revolution's political motivation to standardise units in Fran ...
are highly speculative and can be qualified as
pseudoscience Pseudoscience consists of statements, beliefs, or practices that claim to be both scientific and factual but are incompatible with the scientific method. Pseudoscience is often characterized by contradictory, exaggerated or unfalsifiable claim ...
.


Origins

In 1637,
John Greaves John Greaves (1602 – 8 October 1652) was an English mathematician, astronomer and antiquarian. Educated at Balliol College, Oxford, he was elected a Fellow of Merton College in 1624. He studied Persian and Arabic, acquired a number of old b ...
, professor of
geometry Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is c ...
at
Gresham College Gresham College is an institution of higher learning located at Barnard's Inn Hall off Holborn in Central London, England. It does not enroll students or award degrees. It was founded in 1596 under the will of Sir Thomas Gresham, and hosts ove ...
, made his first of several studies in Egypt and Italy, making numerous measurements of buildings and monuments, including the Great Pyramid. These activities fuelled many centuries of interest in metrology of the ancient cultures by the likes of
Isaac Newton Sir Isaac Newton (25 December 1642 – 20 March 1726/27) was an English mathematician, physicist, astronomer, alchemist, Theology, theologian, and author (described in his time as a "natural philosophy, natural philosopher"), widely ...
and the
French Academy French (french: français(e), link=no) may refer to: * Something of, from, or related to France ** French language, which originated in France, and its various dialects and accents ** French people, a nation and ethnic group identified with France ...
.


Charles Piazzi Smyth

John Taylor, in his 1859 book ''The Great Pyramid: Why Was It Built? & Who Built It?'', claimed that the Great Pyramid was planned and the building supervised by the biblical
Noah Noah ''Nukh''; am, ኖህ, ''Noḥ''; ar, نُوح '; grc, Νῶε ''Nôe'' () is the tenth and last of the pre-Flood patriarchs in the traditions of Abrahamic religions. His story appears in the Hebrew Bible (Book of Genesis, chapters 5 ...
, and that it was "built to make a record of the measure of the Earth". A paper presented to the
Royal Academy The Royal Academy of Arts (RA) is an art institution based in Burlington House on Piccadilly in London. Founded in 1768, it has a unique position as an independent, privately funded institution led by eminent artists and architects. Its pur ...
on the topic was rejected. Taylor's theories were, however, the inspiration for the deeply religious archaeologist
Charles Piazzi Smyth Charles Piazzi Smyth (3 January 1819 – 21 February 1900) was an Italian-born British astronomer who was Astronomer Royal for Scotland from 1846 to 1888; he is known for many innovations in astronomy and, along with his wife Jessica Duncan P ...
to go to Egypt to study and measure the pyramid, subsequently publishing his book ''Our Inheritance in the Great Pyramid'' (1864), claiming that the measurements he obtained from the
Great Pyramid of Giza The Great Pyramid of Giza is the biggest Egyptian pyramid and the tomb of Fourth Dynasty pharaoh Khufu. Built in the early 26th century BC during a period of around 27 years, the pyramid is the oldest of the Seven Wonders of the Ancient Worl ...
indicated a unit of length, the
pyramid inch The pyramid inch is a unit of measure claimed by pyramidologists to have been used in ancient times. History The first suggestion that the builders of the Great Pyramid of Giza used units of measure related to modern measures is attributed to O ...
, equivalent to 1.001 British
inch Measuring tape with inches The inch (symbol: in or ″) is a unit of length in the British imperial and the United States customary systems of measurement. It is equal to yard or of a foot. Derived from the Roman uncia ("twelfth ...
es, that could have been the standard of measurement by the pyramid's architects. From this he extrapolated a number of other measurements, including the pyramid pint, the sacred cubit, and the pyramid scale of temperature. Smyth claimed—and presumably believed—that the inch was a God-given measure handed down through the centuries from the time of
Israel Israel (; he, יִשְׂרָאֵל, ; ar, إِسْرَائِيل, ), officially the State of Israel ( he, מְדִינַת יִשְׂרָאֵל, label=none, translit=Medīnat Yīsrāʾēl; ), is a country in Western Asia. It is situated ...
, and that the architects of the pyramid could only have been directed by the hand of God. To support this Smyth said that, in measuring the pyramid, he found the number of inches in the perimeter of the base equalled 1000 times the number of days in a year, and found a numeric relationship between the height of the pyramid in inches to the distance from Earth to the Sun, measured in statute miles. Smyth used this as an argument against the introduction of the
metre The metre ( British spelling) or meter ( American spelling; see spelling differences) (from the French unit , from the Greek noun , "measure"), symbol m, is the primary unit of length in the International System of Units (SI), though its pre ...
in Britain, which he considered a product of the minds of atheistic French radicals.


The grand scheme

By the time measurements of Mesopotamia were discovered, by doing various exercises of mathematics on the definitions of the major ancient measurement systems, various people (Jean-Adolphe Decourdemanche in 1909, August Oxé in 1942) came to the conclusion that the relationship between them was well planned. Livio C. Stecchini claims in his ''A History of Measures'': :The relation among the units of length can be explained by the ratio 15:16:17:18 among the four fundamental feet and cubits. Before I arrived at this discovery, Decourdemanche and Oxé discovered that the cubes of those units are related according to the conventional specific gravities of oil, water, wheat and barley

Stecchini makes claims that imply that the Egyptian measures of length, originating from at least the 3rd millennium BC, were directly derived from the circumference of the earth with an amazing accuracy. According to "Secrets of the Great Pyramid" (p. 346), his claim is that the Egyptian measurement was equal to 40,075,000 meters, which compared to the International Spheroid of 40,076,596 meters gives an error of 0.004%. No consideration seems to be made to the question of, on purely technical and procedural grounds, how the early Egyptians, in defining their cubit, could have achieved a degree of accuracy that to our current knowledge can only be achieved with very sophisticated equipment and techniques.


The megalithic system

Christopher Knight (author), Christopher Knight and Alan Butler further develop the work of Smyth's and Stecchini's "Grand Scheme" in their Civilization One hypothesis, which describes a megalithic system of units.Butler This system is claimed to be the source of all standard units used by civilization, and is so named after the
Neolithic The Neolithic period, or New Stone Age, is an Old World archaeological period and the final division of the Stone Age. It saw the Neolithic Revolution, a wide-ranging set of developments that appear to have arisen independently in several pa ...
builders of
megaliths A megalith is a large stone that has been used to construct a prehistoric structure or monument, either alone or together with other stones. There are over 35,000 in Europe alone, located widely from Sweden to the Mediterranean sea. The ...
. Knight and Butler contend the reconstructed megalithic yard (1 MY = 0.82966 m) is a fundamental part of a megalithic system. Although the megalithic yard is the work of
Alexander Thom Alexander Thom (26 March 1894 – 7 November 1985) was a Scottish engineer most famous for his theory of the Megalithic yard, categorisation of stone circles and his studies of Stonehenge and other archaeological sites. Life and work Early ...
, Knight and Butler make a novel contribution by speculating on how the MY may have been created by using a pendulum calibrated by observing
Venus Venus is the second planet from the Sun. It is sometimes called Earth's "sister" or "twin" planet as it is almost as large and has a similar composition. As an interior planet to Earth, Venus (like Mercury) appears in Earth's sky never f ...
. It also explains the uniformity of the MY across large geographical areas. The accuracy claimed for this procedure is disputed by astronomers. They derive measures of volume and mass from the megalithic yard, which is divided into 40 megalithic inches. Knight and Butler claim that a cube with a side of 4 megalithic inches has a volume equal to one
imperial pint The pint (, ; symbol pt, sometimes abbreviated as ''p'') is a unit of volume or capacity in both the imperial and United States customary measurement systems. In both of those systems it is traditionally one eighth of a gallon. The British impe ...
and weighs one imperial pound when filled with unpolished grain. They also posit ratio relationships with the imperial acre and square rod. Their book states that "The Sun, the Moon and the Earth all conform to a 'grand design' that is also evident in the Megalithic structures that are scattered across the British Isles and western Europe."Butler


"Megalithic geometry"

One of the first persons to associate
megalith A megalith is a large stone that has been used to construct a prehistoric structure or monument, either alone or together with other stones. There are over 35,000 in Europe alone, located widely from Sweden to the Mediterranean sea. The ...
builders with geometry was the Scottish academic,
Alexander Thom Alexander Thom (26 March 1894 – 7 November 1985) was a Scottish engineer most famous for his theory of the Megalithic yard, categorisation of stone circles and his studies of Stonehenge and other archaeological sites. Life and work Early ...
(1894–1985), who never hypothesised any 366-degree geometry himself. Thom believed that the megalith builders used a standard
unit of measurement A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity. Any other quantity of that kind can be expressed as a multi ...
which he dubbed the megalithic yard. According to him, the length of this unit was 2.72 Imperial feet or 82.96 cm. The existence of this measurement is disputed. According to Alan Butler this geometry was based on the Earth's
polar Polar may refer to: Geography Polar may refer to: * Geographical pole, either of two fixed points on the surface of a rotating body or planet, at 90 degrees from the equator, based on the axis around which a body rotates *Polar climate, the cli ...
circumference In geometry, the circumference (from Latin ''circumferens'', meaning "carrying around") is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out ...
. The megalithic degree is the 366th part of it, i.e. 40,008 / 366 = 109.31 km; the megalithic
arcminute A minute of arc, arcminute (arcmin), arc minute, or minute arc, denoted by the symbol , is a unit of angular measurement equal to of one degree. Since one degree is of a turn (or complete rotation), one minute of arc is of a turn. The n ...
is the 60th part of the megalithic degree, i.e. 109.31 / 60 = 1.82 km; the megalithic
arcsecond A minute of arc, arcminute (arcmin), arc minute, or minute arc, denoted by the symbol , is a unit of angular measurement equal to of one degree. Since one degree is of a turn (or complete rotation), one minute of arc is of a turn. The n ...
is the 6th part of the megalithic minute, i.e. 1.82 / 6 = 0.3036 km; if this megalithic arcsecond is in turn divided into 366 equal segments, the length arrived at is 0.8296 m, which is the presumed length of the megalithic Yard, the supposedly ancient unit of measurement independently discovered by professor Alexander Thom in the 1950s. It is precisely this apparent coincidence that prompted Butler to think that the Megalith builders could have been cognizant with an Earth-based 366-degree geometry.
Clive Ruggles Clive L. N. Ruggles (born 1952) is a British astronomer, archaeologist and academic. He is the author of academic and popular works on the subject. In 1999, he was appointed professor of archaeoastronomy at the School of Archaeology and Ancient His ...
has said that both classical and Bayesian statistical reassessments of Thom's data "reached the conclusion that the evidence in favour of the MY was at best marginal, and that even if it does exist the uncertainty in our knowledge of its value is of the order of centimetres, far greater than the 1 mm precision claimed by Thom. In other words, the evidence presented by Thom could be adequately explained by, say, monuments being set out by pacing, with the 'unit' reflecting an average length of pace." David Kendall had previously argued that pacing would have created a greater difference in measurements between sites. Douglas Heggie casts doubt on Thom's suggestion as well, stating that his careful analysis uncovered "little evidence for a highly accurate unit" and "little justification for the claim that a highly accurate unit was in use".


Volumes and masses

In the book '' Civilization One'', Butler and Knight contend that the basic units of
volume Volume is a measure of occupied three-dimensional space. It is often quantified numerically using SI derived units (such as the cubic metre and litre) or by various imperial or US customary units (such as the gallon, quart, cubic inch). ...
and
mass Mass is an intrinsic property of a body. It was traditionally believed to be related to the quantity of matter in a physical body, until the discovery of the atom and particle physics. It was found that different atoms and different ele ...
of the imperial system, the
Imperial pint The pint (, ; symbol pt, sometimes abbreviated as ''p'') is a unit of volume or capacity in both the imperial and United States customary measurement systems. In both of those systems it is traditionally one eighth of a gallon. The British impe ...
and the
avoirdupois pound The pound or pound-mass is a unit of mass used in British imperial and United States customary systems of measurement. Various definitions have been used; the most common today is the international avoirdupois pound, which is legally defin ...
, are also derived from their Megalithic Yard. Just like the
litre The litre (international spelling) or liter (American English spelling) (SI symbols L and l, other symbol used: ℓ) is a metric unit of volume. It is equal to 1 cubic decimetre (dm3), 1000 cubic centimetres (cm3) or 0.001 cubic metre (m3 ...
is the tenth part of the metre to the cubic power, the tenth part of the Megalithic Yard to the cubic power produces a volume of (82.96 cm/10)3 = 570.96 mL, a very close approximation of the modern pint of 568.26 mL. Similarly, they argue that this theoretical Megalithic pint, if filled with barley dry seeds, weighs on average a number close to 453.59 grams, which is the exact value of the avoirdupois pound. They also argue that division of the Earth mass into 366 equal parts, then again into 60 equal parts, and then again into 6 equal parts, yields a result that is almost exactly : /(366 × 60 × 6) = = . Said differently, a one-Megalithic-arcsecond-thick 'slice' of Earth (at the equator) weighs almost exactly , as though, according to the authors, the exact value of the pound had been adjusted so as to be a round subdivision of a one-arcsecond-thick slice of Earth in the Megalithic geometry.


Critical reception

Publications in pseudoscientific metrology receive little, if any, attention from mainstream scholarship, by nature of being intended for the popular mass market. For French historian
Lucien Febvre Lucien Paul Victor Febvre (, ; 22 July 1878 – 11 September 1956) was a French historian best known for the role he played in establishing the Annales School of history. He was the initial editor of the ''Encyclopédie française'' together wit ...
, Xavier Guichard's work was "time and effort lost based on wordplay".
Alexander Thom Alexander Thom (26 March 1894 – 7 November 1985) was a Scottish engineer most famous for his theory of the Megalithic yard, categorisation of stone circles and his studies of Stonehenge and other archaeological sites. Life and work Early ...
's theories have been criticized by Ian O. Angell. W. R. Knorr, examining the evidence as presented by Thom, finds no real evidence of the
Pythagorean theorem In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposit ...
, the ellipse, or a standard unit of distance in Neolithic times. Karlene Jones-Bley also denies the existence of such a precise unit of measurement during the Neolithic period: "the suggestion put forth by Thom that there was a 'megalithic yard' uniform to 0.1mm from Brittany to the Orkneys cannot be accepted". However, for R. J. C. Atkinson, the British prehistorian and archaeologist (1920–94), the Megalithic yard as defined by Thom is a plausible notion: "An interesting theory is his notion of a megalithic yard and rod, supposedly fairly consistent in Britain and Brittany". According to the analytical methods employed by the British statisticians S.R. Broadbent and D.G. Kendall, Thom's 1955 dataset is unlikely to be the result of chance: "a 1% significance meaning that such a best fit would only occur in 1 in 100 random datasets". A review in ''
The Guardian ''The Guardian'' is a British daily newspaper. It was founded in 1821 as ''The Manchester Guardian'', and changed its name in 1959. Along with its sister papers '' The Observer'' and '' The Guardian Weekly'', ''The Guardian'' is part of the ...
'' newspaper of Who Built the Moon'' by Butler and Knight refers to the authors as "an ad man specialising in consumer psychology and an engineer turned astrologer, astronomer and playwright". The review comments on their ideas about megalithic geometry "Here, they suggest, numerical ratios concerning sun, moon and Earth – neatly arrived at by applying the so-called principles of megalithic geometry – are evidence of a message for today's Earthlings. The message is that future humans conquered time travel and went back, way back, to construct the moon to ensure Earth orbits in precisely the right alignment to the Sun to encourage the evolution (yes, they believe in that) of humans – a Mobius strip theory of history. Oh, and they genetically engineered DNA (we know, because that's too complicated for nature alone)." The first book to ever deal with the possible existence of a 366-degree circle and of a 366-day
calendar A calendar is a system of organizing days. This is done by giving names to periods of time, typically days, weeks, months and years. A date is the designation of a single and specific day within such a system. A calendar is also a phy ...
(rather than speaking of "Megalithic geometry" or "
Bronze Age The Bronze Age is a historic period, lasting approximately from 3300 BC to 1200 BC, characterized by the use of bronze, the presence of writing in some areas, and other early features of urban civilization. The Bronze Age is the second pri ...
geometry"), ''The Bronze Age Computer Disc'' by Alan Butler, has not been commented on either by mainstream scientists or the press. Most scholars and reviewers label Butler and Knight's work as pseudoscience.
Aubrey Burl Harry Aubrey Woodruff Burl HonFSA Scot (24 September 1926 – 8 April 2020) was a British archaeologist best known for his studies into megalithic monuments and the nature of prehistoric rituals associated with them. Before retirement he was ...
, a much-published digger of Megalithic sites and a lecturer in archaeology at
Hull College Hull College is a Further Education and Higher Education establishment based in Kingston upon Hull, England. It provides vocational courses, apprenticeships, Higher Education and adult learning courses, with a focus on equipping young peop ...
of Higher Education, although he coauthored a book with Thom, derided Thom's work, saying that he himself had never "seen a Megalithic Yard". Jason Colavito, in a review in Skeptic Magazine, wrote "Crammed into just over 250 pages are so many unbelievable assertions and unproven speculations that it would take a book-sized rebuttal to do adequate justice to this triumph of numerology over science." He also pointed out "The precision claimed for the length of the Megalithic Yard is surprising given the poor condition of Neolithic monuments today. It is impossible to record their measurements to the ten-thousandth of a millimeter, the standard apparently used to derive this unit of measurement. Belgian author Robert Bauval, considers Butler and Knight's new discoveries as "major breakthroughs" and as "a stunning discovery
hat A hat is a head covering which is worn for various reasons, including protection against weather conditions, ceremonial reasons such as university graduation, religious reasons, safety, or as a fashion accessory. Hats which incorporate mecha ...
could completely change the way we view our remote past", whereas Graham Hancock praised the book, regarding it as "Absolutely fascinating, and very, very convincing."Book cover of Butler, Alan and Christopher Knight. ''Before the Pyramids. Cracking Archaeology's Greatest Mystery.'' London: Watkins, 2009.


See also

*
Pyramid inch The pyramid inch is a unit of measure claimed by pyramidologists to have been used in ancient times. History The first suggestion that the builders of the Great Pyramid of Giza used units of measure related to modern measures is attributed to O ...
*
Pseudoarchaeology Pseudoarchaeology—also known as alternative archaeology, fringe archaeology, fantastic archaeology, cult archaeology, and spooky archaeology—is the interpretation of the past from outside the archaeological science community, which rejects ...
*
Pseudohistory Pseudohistory is a form of pseudoscholarship that attempts to distort or misrepresent the historical record, often by employing methods resembling those used in scholarly historical research. The related term cryptohistory is applied to pseudohi ...
*
John Michell (writer) John Frederick Carden Michell (9 February 1933 – 24 April 2009) was an English author and esotericist who was a prominent figure in the development of the Earth mysteries movement. Over the course of his life he published over forty books ...
* List of topics characterized as pseudoscience


References

* * Shalev, Zur 1967 - "Measurer of All Things: John Greaves (1602-1652), the Great Pyramid, and Early Modern Metrology", Journal of the History of Ideas – Volume 63, Number 4, October 2002, pp. 555–575, The Johns Hopkins University Press * {{cite journal , author = Thom, Alexander , title = A Statistical Examination of the Megalithic Sites in Britain , journal = Journal of the Royal Statistical Society. Series A (General) , year = 1955 , volume = 118 part III , pages = 275–295 , jstor = 2342494, doi = 10.2307/2342494 , issue = 3 , publisher = Journal of the Royal Statistical Society. Series A (General), Vol. 118, No. 3


External links


Amazing Pyramid "Facts"
a critical look at some claims of Piazzi Smyth Metrology
Metrology Metrology is the scientific study of measurement. It establishes a common understanding of units, crucial in linking human activities. Modern metrology has its roots in the French Revolution's political motivation to standardise units in Fran ...