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*Callisto and Arcas: Loving mother and dutiful son.*
Many mortals languishing under the dominion of the Oympians suffered
cruelly and unjustly at their hands.   Of this lamentable fact we are all
well aware.   None suffered more than Callisto, a woman who was not only
remarkably beautiful and uncommonly kind, but was also devoted to her only
son, Arcas.   Both mother and son were skilled hunters who passed many
happy days in the earnest pursuit of quarry through forest, fields and
mountains.      One day, the unfortunate Callisto drew the attention of the
lustful Zeus, notorious for his philandering ways and his wanton use and
abuse of women.     Keenly aware of Zeus' propensities, Hera, his tormented
and perpetually jealous wife, quickly noticed how Callisto had unknowingly
beguiled her husband.   She promptly descended onto the land and confronted
Callisto as the latter was hunting in a deep forest while her son pursued
game elsewhere.   The astonished Callisto at once beheld a furious goddess
who materialized from thin air while a sky-wide band of storm clouds
darkened the forest.  (Hera conjured the clouds to conceal herself and
Callisto from Zeus.) Hera identified herself at once to the now terrified
Callisto and without any explanation transformed her into a large bear.
Although she altered Callisto's body, Hera cruelly allowed her to retain
the mind and soul of a woman, so she would remain fully conscious of her
bestial transfiguration.  Looking down at her claws, fur and the other
ursine features, Callisto tried to scream, but could only produce a fierce
growl.  She then watched helplessly as Hera, smirking maliciously,
vanished.     Horrified by her alteration, Callisto fled madly away. She
found that not only could she run swiftly, but her immense bulk allowed her
to move almost effortlessly against the same tree branches that proved so
obstructive to her as a woman.   Soon, she was hidden within the deepest
forest hollows; so remote, in fact, that the darkness prevailed even though
the storm clouds had melted away. Callisto was miserable: more miserable
than she could have ever imagined possible during her short, but otherwise
happy life.  Throughout each day she foraged constantly for food, feeling
profoundly ashamed at her voracious appetite and beastly means of food
gathering.  Only she alone knew what it was to suffer the incongruous aches
of a bear's incessant hunger and a woman's broken heart.  Not just broken,
but shattered, for she dearly missed her son Arcas.  Every moment
engendered a grief more bitter and intense than the one preceding it.   She
often looked through the lattice work of trees within the forest and knew
that contained therein was Arcas, no doubt looking desperately for his
mother.    The pain of their separation was often so sharp that she cried
out, only to hear the same bear's roar that she had heard so often when she
had pursued them as a huntress.

Within a week of her transformation, Callisto was awakened from her uneasy
sleep by the sound of footfalls on branches.  She at once spied Arcas
walking through the trees nearby,   His sweet, but despairing, voice often
called out "Mother!  Mother!   Are you well?!  Where are you?! Mother!"
Forgetting her current condition, Callisto leapt up and called out, "Arcas!
Arcas! I am here!  I am here!"    To her delight, Arcas looked over toward
her and she bounded toward him, ecstatic at what she believed would be a
joyous reunion.   She didn't realize until it was too late that Arcas had
only heard a fierce growl and at the moment was looking at a large bear
running toward him.    The young hunter deftly removed an arrow from his
quiver and placed it in his bow.  To her terror,  Callisto remembered her
appearance and realized that she was well within range of Arcas' arrow.
 She was about to be killed by her own son.   Zeus, who had been curiously
absent until that moment, looked down on the scene and in one stroke
transformed Arcas into a bear.  The arrow, bow and quiver fell to the
ground.   He then grasped both bears by their tails and cast them into the
night sky where they became Ursa Major and Ursa Minor, the Great and Little
Bear, respectively.    In his new form, Arcas recognized his mother at once
and they started playfully pursuing each other through the circumpolar sky.
   Hera, incensed at their reunion, persuaded Posiedon, god of the ocean,
to deny them access to the sea so that they would be forever condemned to
roam the northern skies.     It would have infuriated Hera to have known
that they regarded their perpetual placement in the northern skies as the
best of all possible fates:  for they would never again be apart, their
star fields would remain forever verdant, and although they would never be
human again, neither of them would ever die.   Astronomically, one can
still find the Big and Little Dippers in the northern sky.  The "Big
Dipper" is an asterism within the constellation Ursa Major.  The "Little
Dipper" comprises almost all of Ursa Minor.  Being circumpolar
constellations, they never set, or at least won't set in our lifetimes.
One can use the Big Dipper's outer bowl stars, Dubhe and Merak, to find
Polaris, the end star in the Little Dipper's handle.        Throughout the
course of one day, the Big Dipper will appear to describe wide circles
around Polaris.  In fact, the entire sky seems to revolve around this
remarkably unremarkable star merely because it is aligned almost directly
with Earth's north celestial pole.

[image: da8a9d250a41f3d1b58e41ce566a6dc8.jpg]


THE DAILY ASTRONOMER
Thursday, November, 5, 2020
Remote Planetarium 118:   Questions

The farther afield we travel, the more exotic the Universe becomes.   Today
we're devoting a class to more subscriber questions.       We enjoy
receiving questions because they enable us to cover the topics we missed,
or expound on those topics to which we paid insufficient attention.    This
latest question batch includes inquiries about black holes, dark galaxies
and parallel Universes, all of which transcend the mundane, or, more
correctly, what we often perceive as mundane.


*"Are there galaxies made completely of dark matter?  If there are, how
could we ever find them?"  *   -D.H.

Galaxies consisting entirely of dark matter might exist. We know that
ninety percent of our home galaxy consists of dark matter.  It stands to
reason that a galaxy comprised of nothing but dark matter could form in the
Universe.   In August 2016, a team of astronomers determined that an ultra
diffuse galaxy dubbed *Dragonfly 44* had no discernible stars despite being
nearly as massive as the Milky Way.       These observations suggest that
Dragonfly 44 is composed almost entirely of dark matter.

[image: 800px-Df44-BW-high-contrast.png]
*Dragonfly 44,* an ultra diffuse galaxy located about 330 million light
years from Earth.    Nearly as massive as the Milky Way, this galaxy
consists of no discernible stars.    It is the closest thing astronomers
have yet found to a *dark galaxy, *a galaxy consisting entirely of dark
matter.

Finding dark galaxies is not a simple matter.  One technique of detecting
such galaxies involves using radio telescopes to detect the famous *21 cm
emission * from atomic hydrogen.    This emission is caused by transitions
of neutral hydrogen atoms.       This wavelength,-which is not precisely 21
cm, but slightly above- is within the microwave section of the
electromagnetic spectrum.  These emissions in regions that lack any
luminous material might be indicative of a dark galaxy, one consisting of
neutral hydrogen reserves but no stare (or very few.)     Another method
involves searching for hydrogen absorption lines within distant quasars.
 The theory is that light emitted from these distant objects would pass
through a dark galaxy.   Material within that galaxy would then absorb the
light at the wavelengths consistent with hydrogen.     The problem with
these techniques is that intergalactic hydrogen clouds could be confused
for dark galaxies.


"*I'm having difficulty grasping why time would appear to slow down
infinitely around a black hole. What would the functions of the
time=distance/speed calculation be that would cause this phenomenon, or
would it be some other calculation that explains this?"  E.C.B.*

The difficulty is understandable.      Time dilation around a black hole is
a tricky matter.       Let's begin by repeating the thought experiment
involving two observers: one on a platform well away from a black hole and
the other on a vessel moving toward the black hole.   Both observers will
seem to experience time just as we do sitting here on Earth.  Neither will
"sense" any time dilation, just as a person moving at 99.999% light speed
won't know that time is dilating.  A day for that person passes like any
other day.  However, for a stationary observer, much more time elapses
during what, for moving observer, is a 24-hour period.          The
black-hole bound observer's trajectory will be affected by the black hole's
extreme space-time curvature.  As the observer draws close to the event
horizon, the dark region surrounding the black hole, the curvature
increases and then becomes infinite.   At this point, the vessel's time
stops from the perspective of the outside observer.

[image: main-qimg-d0b5b61acc376e22b37bc79433afbcdb.jpg]

In this simplified diagram we see three massive bodies and their associated
space-time curvatures.       The more massive and dense the object the
greater the curvature.    An astronaut approaching the massive body
experiences gravitational time dilation due to this curvature.  The extent
of that dilation depends on body's mass.   It is very important to note
that the astronaut still experiences time though he/she were stationary.
  An  outside observer's time flow would differ from their as a consequence
of their proximity to that curvature.

Let's imagine that we give the person approaching the black hole a device
that issues a beam of light every time he/she presses a button.     The
platform-bound observer asks the moving observer to press the button every
second.     Just after the vessel leaves, the light beam flashes every
second.  However, as the vessel draws closer to the black hole, the
platform observer notices that the more than a second elapses between
successive light transmissions.   [Also, at the same time, the light
frequency will decrease due to the gravitational red-shifting.]   The time
separating these successive light flashes increases as the moving observer
moves ever closer to the black hole.  Eventually, the transmissions stop
altogether and the black-hole bound observer seems suspended from the
stationary observer's perspective.      However, the moving observer
doesn't experience any suspension...time passes "as normal."

I hope this response actually helped.


*"Could you explain what a parallel Universe is?   Do black holes lead to
them?  How would we know they exist?"  -S.C.*

A parallel Universe is a space-time system which has no connection to our
Universe at all.  The laws governing physical phenomena in the parallel
Universe could be completely different from ours, as well.        The
notion of parallel Universes used to be the sole reserve of science fiction
writers. Now, however, the concept is one that many scientists now regard
seriously.       One issue that brought the parallel Universe notion into
vogue pertained to life in our Universe.    The cosmos obviously has
conditions conducive to life's development because we exist to discuss
those conditions.      However, if the fundamental forces were slightly
different, the Universe wouldn't be capable of producing the conditions
necessary for life's development.  For instance, if gravity were slightly
weaker than matter wouldn't have coalesced to form galaxies, stars or
planets.   Without stars, the matter wouldn't have undergone the complex
thermonuclear fusion reactions necessary to manufacture the heavier
elements on which life is based (carbon, oxygen, phosphorous, et cetera.)
  If gravity were slightly stronger, the cosmos would have imploded in our
itself within an instant.      Having only ONE  universe with all the
conditions precisely fixed to allow for life's development makes some
scientists very uneasy.   It implies the presence of a designing
intelligence that ensured all the parameters were properly adjusted.   On
the other hand, if myriad Universes exist, then life would only develop in
a certain subset of them, those with the appropriate conditions.

[image:
https___blogs-images.forbes.com_startswithabang_files_2018_05_couldamultiv.jpg]


It is possible that black holes might provide a conduit to other Universes
due to something called the *Einstein-Rosen Bridge *that, in theory, could
connect black holes to other Universes or to distant parts of the same
Universe.    The Einstein-Rosen Bridge is named for its discoverers, Albert
Einstein and Israeli physicist Nathan Rosen (1909-1995).   By discovery, we
mean that its existence is implied by the unfathomably complex field
equations within the General Theory of Relativity.       The problem is
that the tidal forces around a stellar-mass black hole would reduce an
astronaut to his/her component subatomic particles long before they
recached the black hole's event horizon.

As far as finding evidence of parallel Universes, that one is a complete
puzzlement. However, it has been suggested that dark matter could be matter
within a parallel Universe juxtaposed with our own.     The "membranes"
separating the two space-time systems might somehow permit gravity to seep
through.      Still, the task of locating parallel Universes -if they even
exist- remains a highly daunting one.

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