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Cochrane Equation

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The Cochrane Equation was a fundamental mathematical expression in warp theory related to the creation of a stable warp field within the laws of physics. The equation was named after Zefram Cochrane, who wrote the book on warp theory on Earth.

In 2153, Enterprise NX-01 entered the Delphic Expanse and encountered spatial anomalies which were a characteristic of the region. Commander Tucker noted that inside these areas of extreme spatial distortion, the Cochrane Equation was no longer a constant. Within the anomalies, the quantum variables became a problem for establishing a stable warp field. Any attempt to compensate caused problems with the spatial gradients. Tucker noted he could have used help from Isaac Newton to solve the problem.

It was learned from an Osaarian pirate that trellium-D insulation of the hull would allow the starship to stay unaffected by the anomalies. (ENT: "Anomaly")

In the final draft script of "Anomaly", the name of this mathematical expression was formatted "Cochrane Equation". In the episode's closed captioning, however, the "e" initial of the word "equation" is not capitalized.
Star Trek Maps mentions the Cochrane's factor, a mathematical variable pointed out by Zefram Cochrane in 2053, in which the curvature of space the ship is traveling through causes a multiplication of the relative speed depending on the mass of nearby matter. It can be as high as a multiplication of 1500 times within the most dense interstellar dust and gas, and as little as 1 in the intergalactic void.

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