Friday, February 9, 2024

4343 - DARK ENERGY - expanding the Universe?

 

-    4343  -   DARK  ENERGY  -  expanding the Universe?      It’s only because we came along when we did, at this golden cosmic time, that we can perceive what the Universe is actually made of. Dark energy is real, began dominating our Universe at an age of 7.8 billion years old, and determines our cosmic fate from here on out!


---------------  4343  - DARK  ENERGY  -  expanding the Universe?

-    In the beginning the Universe behaved as though it were made solely of matter and radiation, with no effects from dark energy appearing from the first fractions-of-a-second to the first several billion years.

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-    As the Universe expanded and cooled, the densities of matter and radiation began to plummet, eventually dropping so low that a new form of energy, “dark energy”, became important to the Universe's evolution. As dark energy rises to prominence, the expanding Universe's behavior changes dramatically, and structure on the largest scales stops gravitationally growing and instead gets torn apart.

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-    ERxamining the galaxies, quasars, and other forms of matter that appear billions of light-years away, is seeing those objects not as they are today, but as they were in the distant past: back when their light was first emitted.

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-    At those earlier times, the Universe was hotter, denser, and filled with smaller, younger, less-evolved galaxies. The light we see from way back in our Universe’s history only arrives at our eyes after journeying across these vast cosmic distances, and only after that light has been stretched by the expanding fabric of space.

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-    It’s these early signals, and the process of how that light gets stretched to longer wavelengths, redshifted, more severely as we look to more and more distant objects, that teach us how the Universe has expanded throughout its history.

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-    We learned that the Universe wasn’t just expanding, but that distant objects appear to speed up, faster and faster, as they mutually recede from one another.  This is the discovery of the “accelerated expansion” of the Universe. That’s how we discovered dark energy and measured its properties, changing our conception of the Universe forever.

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-    At the start of the hot Big Bang, the Universe was rapidly expanding and filled with high-energy, very densely packed, ultra-relativistic quanta. An early stage of radiation domination gave way to several later stages where radiation was sub-dominant, but never went away completely, while matter then clumped into gas clouds, stars, star clusters, galaxies, and even richer structures over time, all while the Universe continues expanding.

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-    In the beginning no light signals would be able to freely propagate from one region to the other; you’d have to wait until the Universe reached an age of 380,000 years old, as that was when the Universe became transparent to light. The cosmic microwave background, initially visible, would fade to infrared and then microwave wavelengths.

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-    As time continued to pass, you’d see molecular clouds form and contract, followed by stars and black holes forming in a slew of early nebulae, followed by the mergers of star clusters, leading to proto-galaxies. Those proto-galaxies would then merge, gravitate, and grow, evolving into full-fledged galaxies that came to exist within groups and clusters. Eventually, those early galaxies would evolve into the more familiar modern-day galaxies, going through long, quiet eras punctuated by bursts of star-formation.

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-    Galaxies comparable to the present-day Milky Way are numerous, but younger galaxies that are Milky Way-like are inherently smaller, bluer, more chaotic, and richer in gas in general than the galaxies we see today. For the first galaxies of all, this effect goes to the extreme. As far back as we’ve ever seen, galaxies obey these rules.

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-   One of the great properties of the Universe is that the laws of physics appear to be constant: unchanging throughout time. This means that atoms always have and always will absorb and emit light at very specific wavelengths: wavelengths that are the same everywhere, and determined by the energy levels that the electrons within the atom occupy.

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-    By identifying series of atomic absorption or emission lines that correspond to the same element, we can then measure how our observations are shifted in wavelength relative to the wavelengths we’d observe if that same atom were at rest in a laboratory.

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-     The shift, known as a “redshift” if it gets stretched to longer wavelengths or a blueshift if it gets compressed to shorter wavelengths, is almost always observed to be a redshift for distant galaxies, with redshift generally increasing with distance. By measuring both of those properties, redshift and distance together, across a wide enough array of objects with different properties, we can use those measurements to reconstruct the history of the expanding Universe.

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-    The supernova data ever since 1998, has pointed toward a Universe that expands in a particular fashion that requires something beyond matter, radiation, and spatial curvature, a new form of energy that drives the expansion, known as dark energy. The supernovae all fall along the line that our standard cosmological model predicts, with even the highest-redshift, most far-flung “Type Ia supernovae” adhering to this simple relation.

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-    Measuring the distance and redshift of a wide variety of objects across the Universe allows us to infer the answer to our initial hypothetical scenario of how two points in space, one corresponding to ourselves and one corresponding to a distant, unbound galaxy, recede from one another across cosmic time.

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-    When we observe the light from a relatively nearby galaxy, its light is redshifted by an amount that corresponds to the amount the Universe has expanded from when that light was emitted until we observe it. The light from a slightly more distant galaxy is redshifted by a slightly greater amount: by the same amount as the nearer galaxy plus the additional amount of expansion that occurred due to its greater distance.

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-    As we accumulate more objects at greater and greater distances, we can use that data to construct a curve that teaches us how the Universe has expanded over its cosmic history.   The way the Universe expands over its cosmic history is related to and determined by the different forms of energy that are present throughout the Universe over its history.

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-    A plot of the apparent expansion rate (y-axis) vs. distance (x-axis) is consistent with a Universe that expanded faster in the past, but where distant galaxies are accelerating in their recession today.

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-    Once we know what the Universe is made of, we can use the information we have about how various forms of energy evolve with time to answer that initial question: what we would see if we could track a single, individual galaxy’s distance and redshift (as seen from our perspective) throughout the history of the Universe.

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-    In the earliest stages, the light that first arrived from a distant object would tell you its distance and its redshift. Compared to what we see today, the distance to that object would have been relatively small, while the redshift that would have been observed would have been quite large compared to what we see today. -

-    That redshift, if we interpret it as a “Doppler shift,” can be made to correspond to an apparent recession speed: how quickly the object in question appears to be moving away from us.

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-   In reality, it isn’t that the object’s motion is causing the redshift, although motion toward (blueshift) or away from (redshift) an observer can certainly cause that effect. Instead, it’s the fact that the light is traveling through the fabric of space  and that the fabric expands while the light travels that causes the redshift we observe.

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-    Initially, the distances to other extragalactic objects would be small while the redshifts would be large: we would infer that this distant galaxy is speeding away from us at a very rapid rate. But as we allow the clock to run forward, both the distances to and the inferred velocity of those objects would change by significant amounts, but in opposite directions from one another.

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-    The distances get larger and larger over time, as the Universe continues to expand. This pushes all objects that aren’t gravitationally bound mutually away from one another, increasing the measured distance between them. From the perspective of any one galaxy, all distant, unbound galaxies continue to move farther and farther away as time goes on.

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-    The Universe’s expansion rate changes, and it changes dependent on the total matter and energy density present in the Universe. Since an increasing volume means a decreasing energy density, the expansion rate drops, and the distant galaxy appears to move away from us at a slower and slower speed, as though the initial expansion drove things apart, and gravity attempts, however unsuccessfully, to pull them back together.

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-    Light may be emitted at a particular wavelength, but the expansion of the Universe will stretch it as it travels. Light emitted in the ultraviolet will be shifted all the way into the infrared when considering a galaxy whose light arrives from 13 billion years ago. The more the expansion of the Universe accelerates, the greater the light from distant objects will be redshifted and the fainter it will appear.

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-    This makes sense when you think about the expanding Universe in the context of the Big Bang. There is a great cosmic race going on: between gravity, working to pull everything back together, and the initial expansion rate, working to drive everything apart.

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-    The race has been underway for 13,800,000,000  years, and the Big Bang was the starting gun. Everything in the Universe begins moving away from everything else initially, at an extremely rapid rate to start, while gravity works as hard as it can to pull everything back together.

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-    If there were too much matter in the Universe, everything would expand only until a point, as the Universe reached a maximum size and then the expansion reversed, and things began contracting. Eventually, the Universe would recollapse, and everything would end in a “Big Crunch”.

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-    On the other hand, if there were too little matter, the expansion would continue forever, with the expansion rate decreasing but never stopping or reversing, while the apparent recession velocities would forever decrease but never reach zero.

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-   Or you could imagine what we call a “Goldilocks” case: where the Universe lived on the border between those two prior scenarios. The Universe would expand forever, but the expansion rate would approach zero. If there were one more atom in the Universe, it would recollapse, but without that atom, things just keep expanding, albeit as slowly as the laws of physics allow.

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-    The Big Bang, on its own, offers no explanation as to why the initial expansion rate at the moment of the Universe’s birth balances the total energy density so perfectly, leaving no room for spatial curvature at all and a perfectly flat Universe. Our Universe appears perfectly “spatially flat”, with the initial total energy density and the initial expansion rate balancing one another to at least some 20+ significant digits.

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-    That last case was consistent with what we’d see happening for a long time: for billions of years, in the case of our Universe. An individual galaxy appears to move away from us at an incredibly fast rate, but then its recession velocity drops as the matter and radiation densities drop. Since it’s the total energy density at any particular instant that determines the Universe’s expansion rate, and the expansion rate in turn determines what we infer the recession speed of a galaxy to be, this all makes intuitive sense.

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-   But,  after a few billion years, something fishy begins to occur. Instead of approaching zero, the expansion rate starts to decrease at a slower rate than one would expect, and a distant galaxy’s recession speed doesn’t drop in the same fashion anymore. Once the Universe reaches an age that’s 7.8 billion years after the Big Bang, things start to get weird: these distant galaxies stop slowing down in their recession entirely, and appear to “coast” in the sense that they move away from us at a constant speed from moment-to-moment, as though the expansion had stopped decelerating.

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-    And then, as the Universe continues to age, the recession speeds no longer remain constant, nor do they go back to decreasing. Instead, these distant galaxies appear to recede from us (and one another) more and more quickly. It’s as though some effect is causing the expansion to neither decelerate nor remain constant, but to actually increase and accelerate!

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-    The expected fates of the Universe all correspond to a Universe where matter and energy fight against the initial expansion rate. In our observed Universe, a cosmic acceleration is caused by some type of dark energy. All of these Universes are governed by the Friedmann equations, which relate the expansion of the Universe to the various types of matter and energy present within it. The Universe with dark energy,  the expansion rate makes a hard transition from decelerating to accelerating about 6 billion years ago.

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-    The Universe cannot simply be filled with merely matter and radiation. Even adding in neutrinos, black holes, dark matter and more won’t allow us to successfully account for everything. In addition to all of those entities, we also require something novel, known as dark energy: a form of energy inherent to space itself.

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-    As the Universe expands, dark energy doesn’t dilute, but rather remains at a constant density. Everything else, including all forms of matter and radiation, dilute as the Universe expands, as the number of particles remains fixed but the volume they occupy increases: a consequence of the expanding Universe. Only dark energy, inherent to space itself, remains at a constant energy density.

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-    After 7.8 billion years, the matter density drops far enough that the effects of dark energy begin to become important. 7.8 billion years after the Big Bang, when the dark energy density has grown to be as large as half the matter density, it reaches the critical value to cause a distant galaxy to stop decelerating from our perspective, and begin accelerating instead. The repulsive effects of dark energy on the Universe’s expansion exactly counteract the attractive effects of matter.

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-     But time doesn’t stop here. Instead, it continues forward, and the matter density continues to drop. Once 7.8 billion years on the cosmic clock ticks by, dark energy now becomes more important than matter and radiation as far as the expansion rate is concerned. Distant galaxies reached their minimum recession speed at that time, but then will appear to speed up once again.

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-    In a Universe that comes to be dominated by dark energy, there are four regions: one where everything within it is reachable and observable, one where everything is observable but unreachable, one where things will someday be observable, and one where things will never be observable.

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-    As time marches forward, distant objects not bound to one another will recede from each other’s perspective at a faster and faster rate. By the time the Universe is 9.2 billion years old, right when our Solar System is forming, the matter density will have dropped below the dark energy density.

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-     By the present day, 13.8 billion years after the Big Bang, dark energy accounts for approximately 70% of the total energy in the Universe; when the Universe reaches twice its present age, dark energy will account for over 95% of the Universe’s total energy. Throughout all that time, distant galaxies will continue to speed up, faster and faster, in their apparent recession from our perspective.

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-    For the past 6 billion years, the Universe’s expansion has been accelerating, meaning that any distant galaxy we monitor appears to recede from us at an ever-increasing speed. Any galaxy currently at a distance of approximately 18 billion light-years from us now appears to recede away faster than the speed of light, meaning there’s nothing we can ever do to reach or contact it again.

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-    Given that the Universe is already 46 billion light-years in radius, this means that 94% of the galaxies in the Universe are already forever beyond our reach.

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-    For billions of years, dark energy’s density would have been tiny compared to the density of matter, meaning its effects would have been undetectable if humans had arisen too early. Tens of billions of years from now, dark energy will have pushed everything beyond our Local Group far away from us; the merged remains of the Local Group will be the only galaxy remaining.

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-    It’s only because we came along when we did, at this golden cosmic time, that we can perceive what the Universe is actually made of. Dark energy is real, began dominating our Universe at an age of 7.8 billion years old, and determines our cosmic fate from here on out!

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February 8, 2023        DARK  ENERGY  -  expanding the Universe?           4343

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--------------------- ---  Friday, February 9, 2024  ---------------------------------

 

 

 

 

 

           

 

 

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