From a drop of water....

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I'm not a genius mathematician and I see it . . . just see it, visualizing the fractal:

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Seeing it and cosmologically calling upon it, including its geometrically similar expansions in dimensionality, many times here and elsewhere. The above is a first for me, that is, learning it has been around for centuries and is a basic to modern calculus . . . thus too, as well, Chaos Theory as I apply its parts to visualizing the cosmology of the Grand Cosmopolis, both observable and beyond.
 
Few, if any including me, have thought about it, but accelerating expansion implies boost energy, and so does a vacuum actually imply boost energy, comparatively speaking to a denser environ whatever it might be. The thinner aethereal fabric (thus vacuum energy) of interplanetary space. The even thinner aethereal fabric (thus greater vacuum energy) of interstellar space. The even thinner aethereal fabric (thus even greater vacuum energy) of intergalactic space.

Imagine travelers under continuous power (continuous acceleration / continuous boost), electric or otherwise, getting driving acceleration boost assist from the vacuum energy (the cosmic energies) of the environment. Surfing in accelerating -- soliton bubble wave riding in accelerating -- interplanetary (fast), interstellar (faster), intergalactic (even faster), vacuum space (aethereal?) (gravity?) (?).

No matter though, it is still accelerating contraction by the traveler of the relative local universe.

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Reminder . . . The grand total of matter and energy in the cosmopolis equals '0':

So what if it's weird horizons' math and science:
e=mc^2
e(+)=m(+)c^2
e(-)=m(-)c^2
(t=0) REALTIME NOW (t=0).
SPACETIME = coordinate points (t=+1 (past-->>histories)) (t=-1 (future<<-- histories)).
Superposition (P) (BC) (BB) 'Mirror Event Horizon':
Collapsed cosmological constant (/\).
Planck = '1'.
Order / Chaos.
((+1) (-1)) = 1/0.
((+1 ?) (-1 anti-?)) = unity ('1') / infinity ('0').
((somethingness (+)) (somethingness (-)) = everythingness (aka: unity ('1')) / nothingness (aka: infinity ('0')).
((somewhereland (+)) (somewhereland (-)) = everywhereland (aka: unity ('1')) / nowhereland (aka: infinity ('0')).
Superposition....

Mirror, mirror.... (The perfect ending (-->>) is perfectly endless beginnings (<<--).)

To be continued... Maybe!
 
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Again, three observed dimensions of SPACETIME:

A traveler in a fast vessel takes off from Earth for the Centauri system and according to his onboard clock takes four years to arrival in the Centauri system four light years (Earth at 0-point time minus four years observed per the speed of light Centauri system to Earth) away. He had one massive continuous light show of a powering blast observed all the way to the Centauri system by all observers.

The Earth observer observes him to take eight years (time dilated), not four years, to arrival in the Centauri system, though the traveler would be observed to have only aged four years in those eight years of time.

The Centauri system observer observes him to come through a wormhole from Earth, instantaneously traveling from Earth to the Centauri system, though the difference on the traveler's clock would show four years of time passage.

At no time did the traveler exceed or even approach, must less reach, the speed of light, regardless of appearances. The traveler annihilated the barrier of "relativity" -- annihilating relativity -- to every external observer, the Centauri system NOT being minus four years to Earth but an unobserved and unobservable Schrodinger's cat-like box (t=0) REALTIME NOW to (t=0) REALTIME NOW which is minus four years (t=-1(history)), plus four years (t=+1 (history)). . . and/or counter-intuitively, plus four years (t=-1 (history)), minus four years (t=+1 (history)). The far Horizon always being (Planck equals t='1' ('Unity') and never anything but).
 
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