Hilbert space, also known as n-dimensional space, was the dimension in which tachyons existed and hydrogen atoms were created.

In 2269, Montgomery Scott modified the USS Enterprise's transporters so that an object would be placed in a tank in which Hilbert space would be formed and the resulting tachyons would be used to create a copy of the object. Spock One, a duplicate of Spock created by the process, later modified the shuttlecraft Galileo II's engine so that it drew energy directly from Hilbert space, thus enabling it to travel at warp speed. (TOS novel: Spock Must Die!)

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