One of the cooler Visual Special Effects, VFX, in cinema is
the jump by a spacecraft from flat, normal, Euclidean space to hyperspace.. That
jump is why Chief Engineer Scott in Star Trek TOS, when asked to provide
Warp Factor 10 says “Aye, and maybe a wee bit more”, where Warp Factor 1.0 is v/c=1,
when you leave flat, normal, Euclidean space and enter Hyperspace. Thus the Trekkie
in me would NOT be happy to hear that we are already in hyperspace and it is Euclidean
space that is the illusion.
But if there is
One Absolute,
Two outcomes for truth,
true and false, but
Three outcomes for a
contest: Win, Loss, and Tie, and only two of those outcomes (Win and Loss) are observably
stable, and the three dimension of space are width, length, and height,
the Fourth dimension of time is connected to the three dimensions of space by
Einstein’s Theory of General Relativity. Then reality might be represented by a
single absolute shared by those dimensions, and .
the Fifth dimension is imagination/mind/√-1,
and the coefficient of a surface in reality is kept constant by making its coefficient
zero.
Then, rather than a pair of inverted light cones in
Euclidean space, the result would be consistent with a two-sheeted hyperboloid
with a single absolute at the center of those two sheets, shared by the two sheets, and the separation
between the two sheets is zero. Then … if
a surface passes though the center it
would exist in both sheets but would be perceived from each sheet as never leaving
that sheet, even though a formula could exist slightly in the other sheet.
Thus rather than flat, Euclidean, space where each dimension
has two absolutes, one at each end of the dimension, a two-sheeted hyperboloid
where the surface was hyperbolic; the dimension of time would be a differential equation
of the three dimensions of space; and there would be zero separation between the two-sheets. This would give the same results as inverted light cones in flat, Euclidean, space
where the apexes of perpendicular elliptical light cones touch.
In this case Einstein’s complaint about quantum mechanics that God (the absolute) does not play dice with
the universe could instead be God (the absolute) DOES play dice with the universe,
but God uses loaded dice and only He knows their true value, and thus only God
knows the result of each roll of the dice.
A 5th dimensional volume with a single shared absolute
between the two-sheets of a hyperboloid and hyperbolic space as a surface between
those sheets, is solved by hyperbolic trigonometric equations. Any formula can approach
the absolute but never have its results be the absolute, i.e. a group of x individuals can emulate but
not be an absolute. The solution to x2=a2+b2 is NOT a single solution √(a2+b2) which can be real or imaginary depending on the values of a and b,
but is instead
x=(0 ± cosh(√(a2+b2))
and that is a complex number with real and imaginary components but two solutions, one of which is the negative of the other.
