Ye cubic surfaces! By threes and nines
Draw round his camp your seven-and-twenty lines –
The seal of Solomon in three dimensions.
Thus wrote Scottish mathematical physicist James Clerk Maxwell (1831 – 1879). After Maxwell’s death his equations were “Heavisided” and, ever since, the so-called “Maxwell equations”, taught to millions of budding scientists, have been a “dumbed down” 3-D version of Maxwell’s higher-dimensional conclusions. (Background: Our Friend, The Ether (Part 20), Ersjdamoo’s Blog entry of November 17, 2013.)
The authors of Dark Mission: The Secret History of NASA show (their figure 2-3) how Maxwell’s reference in his poem to the “seven-and-twenty lines” implies a two-dimensional sketch of a double-star tetrahedron encompassed by a “hypercube.”  A different source  further explains that the “seven-and-twenty lines” is a reference to one of Maxwell’s scientific mentors, Arthur Cayley, and his hyperdimensional geometry (the “27 lines on the general cubic surface” problem).
(The Cayley-Salmon theorem states that a smooth cubic surface over an algebraically closed field contains 27 straight lines. )
James Clerk Maxwell and other 19th-century physicists thought that some problems of electro-magnetics could be solved by “thinking outside the box”, i.e., by the use of spatial dimensions beyond the ordinary 3-D.  One of these other “outside the box” thinkers was Georg Bernhard Riemann who believed that “force” was a consequence of geometry. Albert Einstein later used the four-dimensional geometry of Riemann to explain some of his theories. 
“Force” was a consequence of geometry. Energies coming from higher dimensions might be “reflected” in the 3-D universe via tetrahedral geometries. 
Was it possible that forces such as gravity and electro-magnetism could be understood geometrically? A “hyperdimensional physics” might at last solve the problem of the “unified field” by bringing in ultra-dimensional considerations. 
In the so-called “higher space” (beyond 3 dimensions), suppose you are not in (as in three dimensions) but are “on” the æther. You would be “on” the æther not in any known direction, but in the new direction which comes in with the “higher space.” Then just as a cube can stand on the surface of a table, so on the æther can stand a “higher solid.” (Further background on ultra-dimensional considerations: Our Friend, The Ether (Part 7), Ersjdamoo’s Blog entry of October 23, 2013.)
The speed of light had been fixed as the absolute “speed limit” of the universe. Yet a hyperdimensional model of the universe could laugh at such a “speed limit.” With this new model of the universe “action at a distance” could be instantaneous, meaning speeds “incomparably greater than that of light.” 
In the hyperdimensional universe, everything – even distant planets – is connected through 4-D interaction. No “waves” would be needed to carry light and gravitational force over vast distances. 
Albert Einstein had (temporarily) abandoned The Ether.  Now, with the hyperdimensional model, “the aether is back – as the actual transformation medium between the higher spatial realities and our [3-D] dimension – through something called the ‘torsion field’…” 
——- Sources ——-
 Dark Mission: The Secret History of NASA, by Richard C. Hoagland and Mike Bara. Los Angeles: Feral House, 2007
 Hyperspace, by Michio Kaku. New York: Anchor Books, 1995