[image: image.jpg]
*Doppelgänger: Seeing double*
Do you have a  Doppelgänger?  Someone in the world who resembles you so
precisely that he/she could be your twin?   Might they even exhibit the
same mannerisms and even espouse the same beliefs?   Or, might they share
your physical traits, but be utterly different in character?   Your evil
twin? Or, perhaps -no offense- a good twin?      The mythological Universe
is rife with  Doppelgängers.     The term, itself, derived from Germanic
mythology, literally means "Double walker."

A Doppelgänger assumes a variety of forms.   At times, it is merely an
apparition: a ghostly entity that has transformed itself into a living
person. The mischievous ghost then insinuates itself into their twin's
lives in order to wreak as much havoc as possible.   It is hardly difficult
to imagine what sort of trouble a twin could cause in your own life if all
your friends and loved ones assumed that devious twin was actually you.
 At other times, that Doppelgänger is conjured by a wizard or witch merely
to become a scourge on a person's life.

In the Egyptian mythological realm one will find a Ka, a spirit double who
is not only a replica of a person, but is an exact copy of that person, him
or herself.  Unlike the malicious Doppelgängers, the Kas do not always
intend to sow discord in their twin's life.     At times, they can actually
prove benevolent, more so, even that their counterpart.    A Ka of Helen of
Troy, herself, was said to have tried to  persuade Paris to return home
without attempting an abduction. This Ka's aim was to avert the bloody,
ten-year conflict known as the "Trojan War."  The Ka's noble efforts,
however, were in vain as the real Helen left with Paris back to Troy,
either against her will and with her full cooperation.

Everyone has a twin, or so the adage claims.   Some people encounter them,
and some people never do.    Most people, it must be said, would prefer to
never confront themselves in another body as the experience would prove
most disconcerting.    Fortunately, though, actual Doppelgängers loiter
about only in the mythological realm encircling Earth.

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2020-2021:  LXXIII



THE DAILY ASTRONOMER
Tuesday, January 19, 2021
Exploratorium IX: Is Time Travel Possible?    Part II


"Wholly satisfied with all that transpired, Professor Vendelinus sighed
contentedly, took a bite from the apple he'd been saving since next week
and then smiled, for he finally felt at peace with the Universe."

The previous passage was the  entirety of a science fiction story.   The
protagonist, Professor Vendelinus, had initially encountered all manner of
enemies and obstacles in an effort to obtain Earth's last known Red
Delicious apple.    In the end, the only way to thwart his adversaries from
acquiring it was to propel it into the future, retrieve it, and then
return to the present.  Of course, being an inveterate time traveler, he
decided to completely undo almost everything that had happened to prevent
the apple's acquisition in the first place.   Ultimately, the entire
adventure was reduced to him eating the apple because he adroitly undid all
that  happened or, due to his intervention, didn't  happen at all.

When we discuss time traveling, we generally mean the sort of travel of
which the crafty Professor Vendelinus is capable.      The topic of today's
and last Wednesday's Exploratorium pertains to this mode of hyper-Euclidean
space-time locomotion.
We already established that we are all space-time travelers.  Even by
sitting there reading this sentence, you have moved a few seconds through
time as well as 2 miles around the rotating Earth,  180 miles around the
Sun and 1430 miles around the galactic nucleus.  Nobody can remain
stationary in space or time for even an instant.

Yet, is it possible to accelerate or decelerate through time? On Wednesday
we discussed the concept of the Alcubierre Drive, a hypothetical device
capable of attaining superluminal velocities by simultaneously constricting
forward space while expanding backward space.       The tricky issue with
this vessel is that it would require the presence of exotic matter, or
matter with negative mass.    If exotic matter doesn't actually exist, the
Alcubierre Drive cannot be manufactured.

We next introduce the most famous time travel concept in all of science and
science fiction:  the worm-hole, or, technically the "Einstein-Rosen
Bridge."        "Discovered" by Albert Einstein and Israeli physicist
Nathaniel Rosen, this bridge is a theoretical construct attached to black
holes.

[image: 072320_ec_wormhole_feat-800x450.jpg]

Could this sort of passageway convey a traveler from one point in
space-time to a far more remote point?  The image above provides an
illustration of this concept.  Imagine two points, each at opposite ends of
a large sheet of paper.       The separation distance between these points
is considerable.    However, if one could fold the sheet in such a way as
to make the two points touch, then the distance between them would be much
reduced, perhaps even to zero.      Traveling through a wormhole would
allow astronauts to traverse immense distances in a brief amount of time
despite the speed-of-light barrier.

The wormhole solution seems quite promising.     A couple of drawbacks.
however.  First, the nearest black hole to our solar system might be
located within the HR 6819 system about 1,000 light years away in the
direction of the Telescopium constellation.      Human astronauts haven't
traveled more than 1.2 light seconds from Earth.  (Here we are referring to
the Apollo astronauts who visited the moon in the late 60's and early 70's.
)   We have to ascend quite a few tech levels before we're able to reach
the nearest known black hole.  (Yes, others might be closer.)

Well, fine, even if it isn't possible for humans to reach this black hole
right now,
would it be possible to use a black hole to access a wormhole?       A
black hole's tidal forces present an intractable problem.   Any astronaut
approaching the black hole would literally be ripped apart into his/her
component sub-atomic particles in a process playfully dubbed
"spaghettification."

 As if that were not enough of a barrier, quantum theory suggests that such
Einstein-Rosen bridges could actually collapse if anything were to actually
enter them.     The only way to stabilize such a tunnel would be with the
introduction of negative energy density to create negative spatial
curvature.      Yet, like exotic matter (matter with negative mass), such
negative energy densities might exist and could be impossible to create.
   The nonexistence of negative energy densities would preclude the
stabilization of worm-holes.

The crux of the situation is that time travel MIGHT be possible if exotic
matter or negative energy density exists.  Even then, the construction of
time vessels would require inordinate amounts of time and energy and the
resultant vessel might be capable of transporting micro-particles only
fractions of a second in either time direction.  In other words, you
wouldn't be able to leap back in time and do anything to disrupt the time
flow during the administration of President McGovern.

So, while we're not saying no to your TARDIS fantasties, we are stating
that the issue isn't resolved and probably won't be for quite some time to
come.



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