MOND and Other Theories on Dark Matter and Dark Energy
The Prevailing Theory
The most common viewpoint on dark matter is that it is made of WIMPS, or Weakly Interacting Massive Particles. These particles can pass through normal matter (known as baryonic), move at a slow rate, are generally unaffected by forms of electromagnetic radiation, and can clump together easily. Andrey Kravtsov has a simulator that concurs with this viewpoint and also shows that it helps clusters of galaxies stay together despite the expansion of the universe, something that Fritz Zwicky postulated about over 70 years ago after his own observations on galaxies noticed this peculiarity. The simulator also helps explain small galaxies, for dark matter allows the clusters of galaxies to remain in close proximity and cannibalize on each other, leaving small corpses behind. Furthermore, dark matter also explains the spin of galaxies. Stars on the outside spin as fast as stars near the core, a violation of rotational mechanics because those stars should be flung away from the galaxy based on their velocity. Dark matter helps explain this by having the stars contained within this strange material and preventing them from departing our galaxy. What it all boils down to is that without dark matter, galaxies would not be possible (Berman 36).
As for dark energy, that is still a great mystery. We have little idea as to what it is, but we do know that it operates on a grand scale by accelerating the expansion of the universe. It also seems to account for almost ¾ of all that the universe is made of. Despite all this mystery, several theories are hoping to sort it out.
MOND, or Modified Newtonian Dynamics
This theory has its roots with Mordelai Milgrom, who while on sabbatical went to Princeton in 1979. While there, he noted that the scientists were working on solving the galaxy rotation curve problem. This refers to the before-mentioned properties of galaxies where the outer stars rotate as fast as the inner stars. Plot the speed versus distance on a graph and instead of a curve it flattens out, hence the curve problem. Milgrom tested many solutions before finally taking a list of galaxy and solar system properties and comparing them. He did this because Newton's gravity works great for the solar system and he wanted to extend it to galaxies (Frank 34-5, Nadis 40).
He then noticed that the distance was the biggest change between the two of them and began to think about that on a cosmic scale. Gravity is a weak force but relativity is applied where gravity is strong. Gravity is dependent on distance, and distances make gravity weaker, so if it behaves differently on larger scales then something needs to reflect this. In fact, when the gravitational acceleration became less than 10 -10 meters per second (100 billion times less than Earth's), Newton's gravity wouldn't work as well as relativity's, so something needed to be adjusted. He modified Newton's second law to reflect these changes to gravity so that the law becomes F = ma2/ao, where that denominator term is the rate it takes you to accelerate to the speed of light, which should take you the lifetime of the universe. Apply this equation to the graph and it fits the curve perfectly (Frank 35, Nadis 40-1).
He began to do the hard work in 1981 alone because no one felt this was a viable option. In 1983 he publishes all three of his papers in the Astrophysical Journal with no response. Stacy McGaugh, from Case Western University in Cleveland, did find a case where MOND did predict results correctly. She wondered about how MOND worked on "low surface brightness galaxies" which had low star concentrations and were shaped like a spiral galaxy. They have weak gravity and are spread out, a good test for MOND. And it did great. However, scientists generally shy away from MOND still. The biggest complaint was that Milgrom had no reason why it was right, only that it fit the data (Frank 34, 36-7, Nadis 42).
Dark matter, on the other hand, attempts to do both. Also, dark matter began to explain other phenomena better than MOND even though MOND still explains the curve problem better. Recent work by a partner of Milgrom, Jacob Bekenstein (Hebrew University in Jerusalem), attempts to explain all that dark matter does as he accounts for Einstein's relativity and MOND. Called TeVeS (for tensor, vector, and scalar), the 2004 work takes into account gravitational lensing and other consequences of relativity. Whether it takes off remains to be seen. Another problem is how MOND fails for not only galaxy clusters but also for the large scale universe. It can be off by as much as 100% (Ibid).
Some recent work has been promising, however. In 2009, Milgrom himself revised MOND to include relativity, separate from TeVeS. Though the theory still lacks a why, it does better explain those large scale discrepancies. And recently the Pan Andromeda Archaeological Survey (PANDA) looked at Andromeda and found a dwarf galaxy with weird star velocities. A study published in The Astrophysical Journal by Stacy McGaugh found that revised MOND got 9/10 of those correct (Nadis 43, Scoles).
However, a huge blow was dealt to MOND on August 17, 2017 when GW 170817 was detected. A gravity wave event generated by a neutron star collision, it was heavily documented in many wavelengths, and most striking was the difference in times between gravity waves and visual waves - just 1.7 seconds. After travelling 130 million light-years, the two nearly arrived at the same time. But if MOND is right, then that difference should have been more like three years instead (Lee "Colliding").
The Scalar Field
According to Robert Scherrer of Vanderbilt University in Tennessee, dark energy and dark matter are actually a part of the same energy field known as the scalar field. Both are just different manifestations of it depending on what aspect you are examining. In a series of equations he derived, different solutions present themselves depending on the time frame we solve for. Whenever density decreases, volume increases according to his work, much like how dark matter operates. Then as time progresses density remains at a constant as volume increases, much like how dark energy works. Thus, in the early universe, dark matter was more plentiful than dark energy but as time goes on, dark matter will approach 0 with regards to dark energy and the universe will accelerate its expansion even further. This is consistent with the prevailing viewpoints on cosmology (Svital 11).
John Barrows and Douglas J. Shaw also worked on a field theory, though theirs originated by noticing some interesting coincidences. When evidence for dark energy was found in 1998, it gave a cosmological constant (the anti-gravity value based on Einstein's field equations) of Λ = 1.7 * 10-121 Planck units, which happened to be almost 10121 times larger than the "natural vacuum energy of the universe." It also happened to be close to 10-120 Planck units which would have prevented galaxies from forming. Finally, it was also noted that Λ is almost equal to 1/tu2 where tu is the "present expansion age of the universe," which is about 8 * 1060 Planck time units. Barrows and Shaw were able to show that if Λ is not a fixed number but a field then Λ can have many values and thus dark energy could operate differently at different times. They were also able to show that the relation between Λ and tu is a natural result of the field because it represents the light of the past and so would be a carry-through from the expansion of today. Even better, their work gives scientists a way to predict the curvature of space time at any point in the Universe's history (Barrows 1,2,4).
The Acceleron Field
Neal Weiner of the University of Washington thinks dark energy is linked to neutrinos, small particles with little to possibly no mass that can pass through normal matter easily. In what he calls an “acceleron field,” neutrinos are linked together. When the neutrinos move away from each other, it creates tension much like a string. As the distance between neutrinos increases, so does the tension. We observe this as dark energy, according to him (Svital 11).
A property of quantum theory known as vacuum fluctuations could also be an explanation for dark energy. It is a phenomena where particles pop in and out of existence in a vacuum. Somehow, the energy that causes this disappears from the net system and it is hypothesized that that energy is in fact dark energy. To test this, scientists can use the Casimir effect, where two parallel plates are attracted to each other because of the vacuum fluctuations between them. By studying the energy densities of the fluctuations and comparing them with the expected dark energy densities. The test bed will be a Josephson junction, which is an electronic device having a layer of insulation squeezed between parallel superconductors. To find all the energies generated, they will have to look over all frequencies, for energy is proportional to frequency. The lower frequencies so far support the idea, but higher frequencies will need to be tested before anything firm can be said of it (Phillip 126).
Something that takes existing work and rethinks it is emergent gravity, a theory developed by Erik Verlinde. He looked at de Sitter space, which comes with a positive cosmological constant, unlike anti de Sitter space (which has a negative cosmological constant). Why the switch? Convenience. It allows for direct mapping of quantum properties by gravitational features in a set volume. So, like in math if given x you can find y, you can also find x if given y. Emergent gravity shows how given a quantum description of a volume, you can get a gravitational viewpoint as well. Entropy is frequently a common quantum descriptor, and in anti de Sitter space you can find the entropy of a sphere so long as it is in the lowest energetic state possible. For a de Sitter, it would be a higher energy state than anti de Sitter, and so by applying relativity to this higher state we still get the field equations we are used to and a new term, the emergent gravity. It shows how entropy affects and is affected by matter and the math seems to point to properties of dark matter over long spans of time. So wait, isn't this just an extra cute math trick like MOND? Nope, according to Verlinde, because it isn't a "because it works" but has a theoretical underpinning to it. However, MOND still works better than emergent gravity when predicting those star speeds, and that may be because emergent gravity relies on spherical symmetry, which isn't the case for galaxies (Lee "Emergent").
Scientists have noticed that dark matter seems to act differently depending on the scale one looks at. It holds galaxies and galactic clusters together, but the WIMP model does not work well for individual galaxies. But if dark matter were able to change states at different scales, then maybe it could work. Around galaxies, where the temperatures are cool, dark matter may be a superfluid, which has net to no viscosity. But at the cluster level, conditions are not right for a superfluid and so it reverts back to the dark matter we expect. And models shows it not only acts as theorized but it could also lead to new forces created by phonons ("sound waves in the superfluid itself"). To accomplish this, though, the superfluid needs to be compact and at very low temperatures. Gravitational fields around galaxies would help with the compaction, and space already has low temperatures. But at the cluster level, not enough gravity exists to squeeze stuff together. Evidence is scarce so far, though. Vortexes predicted to be seen haven't. Galactic collisions, which are slowed down by the dark matter halos passing by each other. If a superfluid, the collisions should proceed faster than expected (Ouellette).
Rogue Planets, Brown Dwarfs, and Black Holes
Something that most people don't consider is objects that are just hard to find in the first place, like rogue planets, brown dwarfs, and black holes. Why so hard? Because they only reflect light and do not emit it. Once out in the void, they would be practically invisible. So if enough of them are out there, could their collective mass account for dark matter? In short, no. Mario Perez, a NASA scientist, went over the math and found that even if models for rogue planets and brown dwarfs were favorable, it wouldn't even come close. And after researchers looked into primordial black holes (which are miniature versions formed in the early universe) using the Kepler Space Telescope, none were found that were between 5-80% of the mass of the moon. Still, theory does hold that primordial black holes as small as 0.0001 percent of the moon's mass could exist, but it is unlikely. Even more of a blow is the idea that gravity is inversely proportional to the distance between objects. Even if a lot of those objects were out there, they are just too far apart to have a discernible influence (Perez, Choi).
Rest assured that these just scratch the surface of all the current theories about dark matter and dark energy. Scientists continue to gather data and even offer up revisions to out understandings of the Big Bang and gravity in an effort to solve this cosmological conundrum. Observations from the cosmic microwave background and particle accelerators will lead us ever closer to a solution. The mystery is far from over.
Ball, Phillip. "Scepticism Greets Pitch to Detect Dark Energy in the Lab." Nature 430 (2004): 126. Print.
Barrows, John D, Douglas J. Shaw. "The Value of the Cosmological Constant” arXiv:1105.3105
Berman, Bob. "Meet the Dark Universe.” Discover Oct. 2004: 36. Print.
Choi, Charles Q. "Is Dark Matter Made Of Tiny Black Holes?" HuffingtonPost.com. Huffington Post, 14 Nov. 2013. Web. 25 Mar. 2016.
Frank, Adam. "Gravity's Gadfly." Discover Aug. 2006. 34-7. Print.
Lee, Chris. "Colliding Neutron Stars Apply Kiss of Death to Theories of Gravity." arstechnica.com. Kalmbach Publishing Co., 25 Oct. 2017. Web. 11 Dec. 2017.
---. "Diving Seep into the World of Emergent Gravity." arstechnica.com. Kalmbach Publishing Co., 22 May 2017. Web. 10 Nov. 2017.
Nadis, Frank. "Dark Matter Deniers." Discover Aug. 2015: 40-3: Print.
Ouellette, Jennifer. "Dark Matter Recipe Calls for One Part Superfluid." quantamagazine.org. Quanta, 13 Jun. 2017. Web. 20 Nov. 2017.
Perez, Mario. "Could Dark Matter Be...?" Astronomy Aug. 2012: 51. Print.
Scoles, Sarah. "Alternate Theory of Gravity Predicts Dwarf Galaxy." Astronomy Nov. 2013: 19. Print.
Svital, Kathy A.. "Darkness Demystified.” Discover Oct. 2004: 11. Print.
- What is the Difference Between Matter and Antimatter...
Though they may seem to be similar concepts, many features make matter and antimatter different.
- Einstein's Cosmological Constant and the Expansion o...
Considered by Einstein to be his
© 2013 Leonard Kelley