To make social security fairer, raise the ceiling.

For most working folks, the majority of your taxes are social security, certainly the majority of your federal taxes. The tax structure of SS is strongly weighted to help the rich. This is a fact that politicians have created and typically hide. Both parties proclaim tax help for the middle class, by instituting income tax changes that barely affect anyone, and really sticking it to the low wage-earner and middle class by a highly recessive SS tax that charges 14.2% off the top for a self-employed person, or 7.1% for an employee, but only to a cut-off of $160,000.

Anyone making more than this pays nothing on the overage, with the result that high earners, on a percent basis, pay essentially 0% tax. The rest of the high eaters income is generally protected by deductions. His car is a work expense, rented from the company, his travel is too. The working plumber benefits from these same deductions, but ends up paying 14.2% because of Social Security, while someone earning $1.6 million ends up paying 1.42% effectively.

People earring more than $1.6 million gain credit for other exemptions. Bill Gates has been buying farm land and claims the depreciation of the land value. Land does not actually depreciate, but you can claim it does because people like him get to fix the tax code (Donald Trump gets the same deduction, BTW on his gold courses). Less rich folks can still deduct the high cost of country club membership, of travel, entertainment, and meetings in exotic places (you can claim some of that too). Because so much of what you pay is Social security, it will come out that, while the executive may pay more in absolute tax, he or she will pay far less as a percentage. Many rich folks claim to find this offensive, but neglect to suggest the most obvious correction raise the ceiling on social security and (ideally) lower the the %.

I strongly suspect that we could bill for social security at 5% and 10% if we raised the ceiling to $2,000,000 per year. I suspect that SS would then be more solvent too. The net result would be drastically fairer.

Robert E. Buxbaum, April 23, 2023

Solving the evening solar power problem

Solar power is only available during the day, and people need power at night too. As a result, the people of a town will either need a lot of storage, or a back-up electric generator for use at night and on cloudy days. These are expensive, and use gasoline (generally) and they are hard to maintain for an individual. Central generated alternate power is cheaper, but the wires have to be maintained. As a result, solar power is duck curve, or canon curve power. It never frees you from hydrocarbons and power companies, and it usually saves no money or energy.

People need power at twilight and dawn too, and sunlight barely generates any power during these hours, and sometimes clouds appear and disappear suddenly while folks expect uniform power to their lights. The mismatch between supply and demand means that your backup generator, must run on and off suddenly. It’s difficult for small, home generators, but impossible for big central generators. In order to have full power by evening, the big generators need to run through the day. The result is that, for most situations, there is no value to solar power.

Installed solar power has not decreased the amount of generation needed, just changed when it is needed.

Power leveling through storage will address this problem, but it’s hardly done. Elon Musk has suggested that the city should pay people to use a home battery power leveler, a “power wall” or an unused electric car to provide electricity at night, twilight, and on cloudy days. It’s a legitimate idea, but no city has agreed, to date. In Europe, some locations have proposed having a central station that generates hydrogen from solar power during the day using electrolysis. This hydrogen can drive trucks or boats, especially if it is used to make hythane. One can also store massive power by water pumping or air compression.

Scottsbluff Neb. solar farm damaged by hail, 6/23.

In most locations, storage is not available, so solar power has virtually no value. I suspect that, at the very least, in these locations, the price per kWh should be significantly lower at noon on a sunny day (1/2 as expensive or less). The will cause people to charge their eVs at noon, and not at midnight. Adjusted prices will cause folks to do heavy manufacturing at noon and not at midnight. We have the technology for this, but not the political will, so far. Politicians find it easier to demand solar, overcharge people (and industry) and pretend to save the environment.

Robert Buxbaum Aug 8, 2023

Zoo Jokes, Symphony Joke

I went to the zoo to see the baguettes…

….They’re bread in captivity.

The had a pig there, sweltering in the sun.

He was bakin’

I dan’t go the symphony anymore, these days …

… It’s all sax and violins.

Robert Buxbaum, Aug. 2, 2023 –It’s summer, what do you expect? Life’s a beach.

Relativity’s twin paradox explained, and why time is at right angles to space.

One of the most famous paradoxes of physics is explained wrong — always. It makes people feel good to think they understand it, but the explanation is wrong and confusing, and it drives young physicists in a wrong direction. The basic paradox is an outgrowth of the special relativity prediction that time moves slower if you move faster.

Thus, if you entered a spaceship and were to travel to a distant star at 99% the speed of light, turn around and get here 30 years, you would have aged far less than 30 years. You and everyone else on the space ship would have aged three years, 1/10 as much as someone on earth.

The paradox part, not that the above isn’t weird enough by itself, is that the person in the spaceship will imagine that he (or she) is standing still, and that everyone on earth is moving away at 99% the speed of light. Thus, the person on the spaceship should expect to find that the people on earth will age slower. That is, the person on the space ship should return from his (or her) three year journey, expecting to find that the people on earth have only aged 0.3 years. Obviously, only one of these expectations can be right, but it’s not clear which (It’s the first one), nor is it clear why.

The wrong explanation appears in an early popular book, “Mr Tompkins in Wonderland”, by Physicist, George Gamow. The book was written shortly after Relativity was proposed, and involves a Mr Tompkins who falls asleep in a physics lecture. Mr. Tompkins dreams he’s riding on a train going near the speed of light, finds things are shorter and time is going slower. He then asks the paradox question to the conductor, who admits he doesn’t quite know how it works (perhaps Gamow didn’t), but that “it has something do do with the brakeman.” That sounds like Gamow is saying the explanation has to do with deceleration at the turn around, or general relativity in general, implying gravity could have a similarly large effect. It doesn’t work that way, and the effect of 1G gravity is small, but everyone seems content to explain the paradox this way. This is particularly unfortunate because these include physicists clouding an already cloudy issue.

In the early days of physics, physicists tried to explain things with a little legitimate math to the lay audience. Gamow did this, as did Einstein, Planck, Feynman, and most others. I try to do this too. Nowadays, physicists have removed the math, and added gobbledygook. The one exception here are the cinematographers of Star Wars. They alone show the explanation correctly.

The explanation does not have to do general relativity or the acceleration at the end of the journey (the brakeman). Instead of working through some acceleration, general relativity effect, the twin paradox works with simple, special relativity: all space contracts for the duration of the trip, and everything in it gets shorter. The person in this spaceship will see the distance to the star shrink by 90%. Traveling there thus takes 1/10th the time because the distance is 1/10th. There and back at 99% the speed of light, takes exactly 3 years.

The equation for time contraction is: t’ = v/x° √(1-(v/c)2) = t° √(1-(v/c)2) where t’ is the time in the spaceship, v is the speed, x° is the distance traveled (as measured from earth), and c is the speed of light. For v/c = .99, we find that √1-(v/c)2 is 0.1. We thus find that t’ = 0.1 t°. When dealing with the twin paradox, it’s better to say that x’ = 0.1x° where x’ is the distance to the star as seen from the spaceship. In either case, when the people on the space ship accelerate, they see the distance in front of them shrink, as shown in Star Wars, below.

Star Wars. The millennium falcon jumps to light speed, and beyond.

That time was at right angles to space was a comment in one of Einstein’s popular articles and books; he wrote several, all with some minimal mathematics Current science has no math, and a lot of politics, IMHO, and thus is not science.

He showed that time and space are at right angles by analogy from Pythagoras. Pythagoras showed that distance on a diagonal, d between two points at right angles, x and y is d = √(x2 + y2). Another way of saying this is d2 =x2 + y2. The relationship is similar for relativistic distances. To explain the twin paradox, we find that the square of the effective distance, x’2 = x°2 (1 – (v/c)2) = x°2 – (x°v)2/c2 = x°2 – (x°v/c)2 = x°2 – (t°2/c2). Here, x°2 is the square of the original distance, and it comes out that the term, – (t°2/c2) behaves like the square of an imaginary distance that is at right angles to it. It comes out that co-frame time, t° behaves as if it were a distance with a scale factor of i/c.

For some reason people today read books on science by non-scientist ‘explainers.’ I These books have no math, and I guess they sell. Publishers think they are helping democratize science, perhaps. You are better off reading the original thinkers, IMHO.

Robert Buxbaum, July 16, 2023. In his autobiography, Einstein claimed to be a fan of scientist -philosopher, Ernst Mach. Mach derived the speed of sound from a mathematical analysis of thermodynamics. Einstein followed, considering that it must be equally true to consider an empty box traveling in space to be one that carries its emptiness with it, as to assume that fresh emptiness comes in at one end and leaves by the other. If you set the two to be equal mathematically, you conclude that both time and space vary with velocity. Similar analysis will show that atoms are real, and that energy must travel in packets, quanta. Einstein also did fun work on the curvature of rivers, and was a fan of this sail ship design. Here is some more on the scientific method.

The Ukraine war could go for years. Don’t make a famine.

Russia is a collapsing, corrupt state with no meaningful elections. It is also the biggest exporter of food, fertilizer, gas, and oil. Nearly 2 years ago, it invaded Ukraine, another collapsing, corrupt, food-exporting state with suspended elections.

Both countries are in the midst of demographic collapse, with Ukraine worse off. Ukraine was invaded though, and thus has the better claim to our support. Then again Russia has atomic bombs. It’s also the largest exporter of wheat (or was), while Ukraine is only the 5th largest (or was before the war). The other three big exporters are the US, Canada, and France. We have benefitted financially, but don’t have enough output to make up for lost Russian and Ukrainian production. A likely result is famine unless the war can be brought to a quick end.

Ukraine’s grain terminals in flames, Odessa..

Food and energy prices have gone up too, and will probably continue to rise as the war stretches on. This adds to the risk of a global famine, particularly in the poorest areas of Africa, the Mid East, and India. Unfortunately, the war is still popular in Europe, Russia, Ukraine, and the US. It’s good business for our armaments industry, and for our recent mega-farmers (like Bill Gates). Also, for our political and spy class. They spend with little government oversight, and just recently misplaced $16 billion. Surely some of that lost money snuck back to the CIA and our politicians’ pockets. We’d have oversight, but “there’s a war on.”

As wars go, the death toll is low, a total of 354,000 dead and injured on both sides, as revealed by recently leaked documents. This is a small fraction of the countries population. Russia has lost 223,000 soldiers killed or wounded, 0.2% of the population, while the Ukrainians had lost 131,000, 0.3%, many of them civilians. While the war rages, the total death rate in the these two countries was 3.1 million people, 1.8% of the population; they’re dying mostly from heart disease, accidents, and alcoholism.

The Ukrainian population. Lots of retirees, few kids, very few of military age. This is a disaster, not a country.

More destructive than disease, alcoholism and the war is the demographic collapse. The fertility rate in Russia is 1.5 child per woman. In Ukraine it’s even lower, 1.21 per woman. For a stable population, you need at least 2.1 children per woman. Russia and Ukraine have had these low rates for at least 30 years. The net result is that we can expect that Russia’s population will drop by a third or so over the next generation, to about 50 million. This is the equivalent of killing 1/2 of the population; for Ukraine, the prognosis is worse. With few children and decent food supply, we can expect few workers, and increasingly many elderly. This will produce a cultural shift that virtually guarantees the breakup of Ukraine and the Russian federation in 20-30 years. Europe has this problem too, but with no war and some net immigration. The result is a cultural shift of a different type (to Islam). Russia has no immigration, and recently resorted to kidnapping Ukrainian children.

The loss of Russian and Ukrainian exports means famine for the poor importers and food inflation for all.

Europe has stopped taking delivery of Russian food and energy, in solidarity with Ukraine. This benefits the US, but hurts others. Meanwhile Russia has been destroying Ukrainian fields and food infrastructure, blowing a dam last month, flooding Ukraine’s fields, and yesterday destroyed the grain terminals at the port of Odessa,. This was tit-for-tat since Ukraine destroyed a key bridge, and Crimea’s irrigation canal. What’s more, evidence suggests that Ukraine blew up the Nord Stream pipeline — a key source of finance for Russia and Germany. This sort of tit-for-tat escalated to WWI, fueled by a belief, on both sides, that they would win “decisively and quickly.”

The result of WWI is that Germany was the biggest loser, losing men and land, and suffering a killing famine in 1916. In response, it militarized to prevent war from happening again, and this prevention helped cause WWII. Germany is the biggest loser so far, I’d say, aside from Ukraine, and I fear/expect they will militarize again. Russia too claims a need to increased military production. Biden’s promise that Ukraine’s will join NATO is a threat to Russia, as is our delivery of F16s, missiles and cluster bombs. We are killing Russians, and Putin doesn’t like it. Add to this, that Ukraine’s claim for independence rests mostly on its Nazi collaboration. For the good of everyone, maybe we can dial back, and stop adding gasoline to this fire.

Ukraine deserves our support, but I think that support need not go beyond small-ish arms, energy deliveries, and tariffs on Russian goods. Let’ s not push WWIII. Instead, we should help Ukraine and Russia export food and energy to avoid a famine. And a military Germany does no one any good.

Robert Buxbaum, July 20, 2023. When I was a teen, it was a given that war was bad. Now, for some reason, kids are in for war — here, and jehad in the Mid-East — especially the liberal classes. I find this absolutely bizarre.

Chemistry, chemical engineering joke

A catalyst walks into a bar. The bartender says, “We can’t serve you.”

The catalyst asks, “Why not?”

The bartender says, “The last time you were here, you started something.”

Robert Buxbaum, July 14, 2023 (Bastille day). If you like this, maybe you’d like another, chemistry joke or this physics joke.

I’d like to expand the Jones act so more ships can do US trade.

If you visit most any European port city, you’ll see a lot more shipping than in the Midwestern US. In Detroit, where I am, your’ll see an occasional ore boat from Wisconsin, and an occasional tourist cruise, but nothing to compare to German, Belgian, or Turkish ports. The reason for the difference is “The Jones act.”

The port of Istanbul with many ships

The Jones act , also known as “The Merchant Marine Act of 1920”, requires that all ships depositing cargo or people between US ports must be US owned, US built, US captained, US flagged, and at least 70% US manned. This raises costs and reduces options. The result is that few ships can move people or cargo between US cities, and these ships are older and less efficient than you’ll see elsewhere. World wide water traffic costs about 1/8 that of rail traffic per ton-mile, but in the US, the prices are more comparable. The original justification was to make sure the US would always have a merchant marine. The Jones act does that, sort of, but mostly, it just makes goods more expensive and travel more restrictive.

The port of Detroit — we rarely see more than one ship at a time.

Because it does some good, I don’t want to get rid of the Jones act entirely, but I’d like to see US shipping options expanded. Almost any expansion would do, e.g. allowing 50% US manned ships delivering along US rivers, or expanding to allow Canadian built ships or flagged, and ships that are more than 50% US owned, or expanding to any NAFTA vessel that meets safety standards. Any expansion of the number of ships available and would help.

The jones act increase the price of oil transport by a factor of five, about.

Currently, the only exceptions to the Jones act are for emergencies (Trump voided the act during several storms) and for ships that visit a foreign port along the route. This exception is how every cruise ship between California and Hawaii works. They’re all foreign, but they stop in Mexico along the way. Similarly, cruises between Florida and Puerto Rico will stop in Bermuda typically, because the ships are foreign owned. Generally, passengers are not allowed to get off in Puerto Rico, but must sleep on board. This is another aspect of the Maritime act that I’d like to see go away.

Because of the Jones act, there is some US freight-ship building, and a supply of sailors and captains. A new, US ore-ship for the Great Lakes was launched last year, so far it’s been used to carry salt. There is also a US built and operated cruise ship in Hawaii, the “Pride of America,” that makes no stop in Mexico. I’d like to see these numbers expanded, and the suggestions above seem like they’d do more good than harm, lowering prices, and allowing modern container ships plus roll-on-roll-off car transports. Our rivers and lakes are super highways; I’d like to see them used more.

The port of Antwerp – far busier than Detroit.

Another way to expand the Jones act while perhaps increasing the number of US-built and operated ship would be through a deal with Canada so that ships from either country could ply trade on either countries rivers. As things stand, Canada has its own version of the Jones act, called the Coastal Trade Act where Canadian vessels must be used for domestic transport (cabotage) unless no such vessel is available. Maybe we can strike a deal with Canada so that the crew can be Canadian or US, and where built ships in either country are chosen on routes in either country, providing they meet the safety and environmental requirements of both.

Robert Buxbaum, June 14, 2023.

Disney was a narcissist, like Trump, Putin, Musk, and Martin Luther King. It’s not a disease.

Among TV psychiatrists, the universal opinion of Trump, Putin, and Musk, that these individuals are narcissists, a psychological disease related to “toxic masculinity.” Musk, for his part claims the excuse of Asperger’s disease, high-functioning Autism. I half agree with the Narcissist diagnosis, and I’m confused by the Asperger’s claim because I don’t believe these folks are diseased. My sense is they have a leadership personality trait, common in all visionary leaders including Disney, Martin Luther King, and Genghis Khan. I’ve argued that it is important for a president to be a narcissist, and have explained Trump’s vision, “Make America great again” as independence.

Psychological narcissism, short for Narcissistic Personality Disorder, is a disease when it hurts the narcissists life. It is defined as a pattern of exaggerated feelings of self-importance, along with an excessive need for admiration. If it just annoys people it/s a disease, but it’s found among leaders, suggesting it’s not all bad. To get you to follow them, leaders present themselves as mini-messiahs, and try to get you to see them that way. They have a plan, a vision. If it’s successful, they’re visionaries. They fight to bring the vision into reality, which is very annoying to anyone who doesn’t see it or want it. But that’s leadership. Without it nothing big gets done.

Disney’s vision. Not everyone was pleased; quite a few considered him a tyrant.

For the narcissist to succeed, he or she must sell the vision, and his ability to get it done. The plan to get there is often vague and unattractive. These details are shared with only a few. You must see the leader there and yourself too, if you’re to fight for it. Disney was particularly visual, see photo. He got folks to buy into a building a magical kingdom with a private police force, where everyone is happy and cartoon characters glide among the paying visitors.

The majority of those who run into a narcissist reject both the vision and the narcissist. They fear any change, and fear that the success of the visionary will diminish them. For that reason, they run to no-bodies. But some see it, and follow, others throw stones. Disney got state officials to exempt him from state laws, and extend normal copyrights. Others smirked, and worked to stop him, but with less energy: it’s hard to be enthusiastic about no Disneyland. The conflict between doers and the smirkers is the subject of several Ayn Rand books, including The Fountainhead and Atlas Shrugged. She calls the opposing smirkers, “parasites”, “looters”, “moochers,” and my favorite: “do gooders.” It’s for the common good that the narcissist should fail, they claim.

Often these opponents have good reasons to oppose. The Ayatollah Khomeini had a vision similar to Disney: an Islamic Republic in Iran where everyone is happy being a devout Muslim of his stripe. The opponents feared, correctly, that everyone who was not happy would be flogged, hanged, or beheaded. I think it’s legitimate to not want to be forced to be devout. Similarly, with Genghis Khan, or Vladimir Putin. Putin compares himself to Peter the Great who expanded Russia and conquered Crimea. The opponents have legitimate fears of WWII and claim that Ukrainian independence is semi legit. Regarding Musk’s plans to colonize Mars, I note that Neil Armstrong and Gene Cernan have come out against it. There is no right or wrong here, but I have a soft spot for the visionaries, and a suspicion of the “smirkers” and “do gooders.”

Genghis Khan. He saw himself as a world changer. Some followed, some didn’t. Those who followed didn’t think he was crazy.

The smirkers and do-gooders include the most respectable people of today. They are thought leaders, who lose status if someone else exceeds them. They are surprised and offended by Martin Luther King’s dream, and Musk’s, Khomeini’s, Trump’s, and Lenin’s. Trump became president against formidable odds, and the smirkers said it was a fluke, he then lost, and they claimed it showed they were right. He may get a second term, though, and Musk may yet build a community on Mars. To the extent that the visionary succeeds, the smirkers claim it was easy; that they could have done the same, but faster and better. They then laud some fellow smirker, and point out aspects of the vision that failed. In any case, while the narcissist is definitely abnormal, it’s not a disease, IMHO. It’s what makes the world go round.

Robert Buxbaum, June 7, 2023

Rain barrels aren’t much good. Wood chips are better, And I’d avoid rain gardens, even as a neighbor.

A lot of cities push rain barrels as a way to save water and reduce flooding. Our water comes from the Detroit and returns to it as sewage, so I’m not sure there is any water saving, but there is a small cash saving (very small) if you buy 30 to 55 gallon barrels from the city and connect them to the end of your drain spout. The rainwater you collect won’t be pure enough to drink, or safe for bathing, but you can use it to water your lawn and garden. This sounds OK, even patriotic, until you do the math, or the plumbing, or until you consider the wood-chip alternative.

The barrels are not cheap, even when subsidized they cost about $100 each. Add to this the cost and difficulty of setting up the collection system and the distribution hose. Water from your rain barrel will not flow through a normal nozzle as there is hardly any pressure. Expect watering to take a lot longer than you are used to.

40 gallon rain barrels. Two of these give about 70 usable gallons every heavy rain fall. That’s about 70¢ worth.

In Michigan you can not leave the water in your barrel over the winter, the water will freeze and the barrel will crack. You have to drain the tank completely every fall, an almost impossible task, and the tank is attached to a rainspout and the last bit of water is hard to get out. Still, you have to do it, or the barrel will crack. And the savings for all this is minimal. During a rainy month, you don’t need this water. During a dry month, there is no water to use. Even at the best, the The marginal cost of water in our town is less than 1¢ per gallon. For all the work and cost to set up, two complete 40 gallon tanks (like those shown) will give you at most about 70 usable gallons. That’s to say, almost 70¢ per full filling.

How much lawn can you water? Assume you like to water your lawn to the equivalent of 1″ of rain per week, your 70 gallons will water about 154 ft2 of lawn or garden, virtually nothing compared to the typical Michigan 2000 ft2 lawn. You’ll still have to get most of your water from the city’s main. All that work, for so little benefit.

Young trees with chip volcanos, 1 ft high x18″. Spread the chips to the diameter of the leaves.You don’t need more than 2″.

A far better option is wood chips. They don’t cover a lawn, but they’re great for shrubs, trees or a garden. Wood chips are easy to spread, and they stop weeds and hold water. The photo at left shows a wood chips around the shrubs, and a particularly poor use of wood chips around the trees. For shrubs, trees, or a garden, I suggest you put down 1 to 2 inches of wood chips. Surround a young tree at that depth to the diameter of the branches. Do not build a “chip volcano,” as this lazy landscaper has done.

Consider that, covering 500 ft2 of area to a depth of 1.5 inches will take about 60 cubic feet of wood chips. That will cost about $35 dollars at the local Home Depot. This is enough to hold about 1.25″ or rainwater, That’s about 100 ft3 or water or 800 gallons. The chips prevent excess evaporation while preventing weeds and slowly releasing the water to your garden. You do no work. The chips take almost no work to spread, and will keep on working for years, with no fear of frost-damage. A as the chips stop working, they biocompost slowly into fertilizer. That’s a win.

There is a worst option too, called a rain garden. This is often pushed by environmental-gooders. You dig a hole near your downspout, perhaps ten feet in diameter, by two feet deep, and plant native grasses (weeds). When it rains, the hole fills with water creating a mini wetland that will soon smell like the swamp that it is. If you are not lucky, the water will find a way to leak into your basement. If that’s your problem look here. If you are luckier, your mini-swamp will become the home of mosquitos, frogs, and snakes. The plants will grow, then die, and rot, and look awful. It is very hard to maintain native grasses. That’s why people drain swamps and grow trees or turf or vegetables. If you want to see a well-maintained rain garden, they have two on the campus of Lawrence Tech. A wetland isn’t bad, but you want drainage, Make a bioswale or muir.

Robert Buxbaum, May 31, 2023. I ran for water commissioner some years back.

Dark matter: why our galaxy still has its arms

Our galaxy may have two arms, or perhaps four. It was thought to be four until 2008, when it was reduced to two. Then, in 2015, it was expanded again to four arms, but recent research suggests it’s only two again. About 70% of galaxies have arms, easily counted from the outside, as in the picture below. Apparently it’s hard to get a good view from the inside.

Four armed, spiral galaxy, NGC 2008. There is a debate over whether our galaxy looks like this, or if there are only two arms. Over 70% of all galaxies are spiral galaxies. 

Logically speaking, we should not expect a galaxy to have arms at all. For a galaxy to have arms, it must rotate as a unit. Otherwise, even if the galaxy had arms when it formed, it would lose them by the time the outer rim rotated even once. As it happens we know the speed of rotation and age of galaxies; they’ve all rotated 10 to 50 times since they formed.

For stable rotation, the rotational acceleration must match the force of gravity and this should decrease with distances from the massive center. Thus, we’d expect that the stars should circle much faster the closer they are to the center of the galaxy. We see that Mercury circles the sun much faster than we do, and that we circle much faster than the outer planets. If stars circled the galactic core this way, any arm structure would be long gone. We see that the galactic arms are stable, and to explain it, we’ve proposed the existence of lots of unseen, dark matter. This matter has to have some peculiar properties, behaving as a light gas that doesn’t spin with the rest of the galaxy, or absorb light, or reflect. Some years ago, I came to believe that there was only one gas distribution that fit, and challenged folks to figure out the distribution.

The mass of the particles that made up this gas has to be very light, about 10-7 eV, about 2 x 1012 lighter than an electron, and very slippery. Some researchers had posited large, dark rocks, but I preferred to imagine a particle called the axion, and I expected it would be found soon. The particle mass had to be about this or it would shrink down to the center of he galaxy or start to spin, or fill the universe. Ina ny of these cases, galaxies would not be stable. The problem is, we’ve been looking for years, and not only have we not seen any particle like this. What’s more, continued work on the structure of matter suggests that no such particle should exist. At this point, galactic stability is a bigger mystery than it was 40 years ago.;

So how to explain galactic stability if there is no axion. One thought, from Mordechai Milgrom, is that gravity does not work as we thought. This is an annoying explanation: it involves a complex revision of General Relativity, a beautiful theory that seems to be generally valid. Another, more recent explanation is that the dark matter is regular matter that somehow became an entangled, super fluid despite the low density and relatively warm temperatures of interstellar space. This has been proposed by Justin Khoury, here. Either theory would explain the slipperiness, and the fact that the gas does not interact with light, but the details don’t quite work. For one, I’d still think that the entangled particle mass would have to be quite light; maybe a neutrino would fit (entangled neutrinos?). Super fluids don’t usually exist at space temperatures and pressures, and long distances (light years) should preclude entanglements, and neutrinos don’t seem to interact at all.

Sabine Hossenfelder suggests a combination of modified gravity and superfluidity. Some version of this might fit observations better, but doubles the amount of new physics required. Sabine does a good science video blog, BTW, with humor and less math. She doesn’t believe in Free will or religion, or entropy. By her, the Big Bang was caused by a mystery particle called an inflateon that creates mass and energy from nothing. She claims that the worst thing you can do in terms of resource depletion is have children, and seems to believe religious education is child abuse. Some of her views I agree with, with many, I do not. I think entropy is fundamental, and think people are good. Also, I see no advantage in saying “In the beginning an inflateon created the heavens and the earth”, but there you go. It’s not like I know what dark matter is any better than she does.

There are some 200 billion galaxies, generally with 100 billion stars. Our galaxy is about 150,000 light years across, 1.5 x 1018 km. It appears to behave, more or less, as a solid disk having rotated about 15 full turns since its formation, 10 billion years ago. The speed at the edge is thus about π x 1.5 x 1018 km/ 3 x 1016 s = 160km/s. That’s not relativistic, but is 16 times the speed of our fastest rockets. The vast majority of the mass of our galaxy would have to be dark matter, with relatively little between galaxies. Go figure.

Robert Buxbaum, May 24, 2023. I’m a chemical engineer, PhD, but studied some physics and philosophy.