Tag Archives: relativity

Thomas Kuhn, and why half of America loves/ hates Trump

This post was inspired by articles like the one below asking how it was that some Americans, MAGAs think Trump is good when everyone of value sees him as a fat, bigoted, criminal clown. The Atlantic’s answer is they’re detached from classic ideals of good or moral, and are now fueled by “narcissism, fanaticism, and authoritarianism”. I thought a more helpful explanation was that we’re going through a paradigm shift, perhaps progressing in our thought of what it means to be good.

Consider Thomas Kuhn’s analysis of scientific progress. Tomas Kuhn was a major American Philosopher of the 1960s-70s who claimed that science progress was not uniform but included long periods of “normal science” punctuated by change. A “crisis” leading a “Revolution” resulting in big changes in language, outlook and thinking, a “paradigm shift”. In the midst of these scientific revolutions, the experts of the old system fight bitterly against the new while being confounded by the fact that it seems to work.

Consider the resistance to relativity and quantum mechanics. Before 1905 the experts were doing fine: Professors taught and students learned — formulas, tools and techniques were handed over. Educated had respect and money, and could communicate. There were some few contradictions, as in why the sun burned hot, or why the sky was blue, but one could ignore these. You knew who the experts were, and they didn’t include Einstein, Bohr, Pauli, Plank.

Democrats sell red hats and buttons with Fascist or Felon because Trump’s red MAGA (Make America Great Again) hats work for him.

But then came a few more problems, (inconsistencies in Kuhn-speak: radioactivity, photoelectrons, the speed of light… Einstein published on them in 1905, thoughts that few took seriously: imaginary time was a fourth dimension at right angles to the others, etc. The explantations seemed mad and for 14 years after he published, Einstein could not get a university job — anywhere. By 1919 detailed experiments suggested he might be right on a lot of things. It lead to the rise of a new group of experts plus a loss of esteem for the old, and a bunch of crank explainers who were neither but flourished in the confusion.

Hate abounded; new weapons and cures WWI removed aristocrats and beards. A popular book a lecture series of the time was “100 scientists against Einstein.” There followed a lost generation with no clear foundation. It took 50 years to resolve confusion, but there developed new thought leaders, a new language, new standard formulas and books were sold, and we were returned slowly to “normal science” in a new thought paradigm.

I see the conflict of opinion surrounding Mr Trump as a crisis in political thought similar to the crisis in science thought 100 years ago. Polite discourse if gone, replaced by stunts and insults. The government is currently shut, with 40% federal workers, those whose jobs are non-critical, on unpaid leave. It’s a collapse, not of morals, but of language. Trump hopes to use the shutdown, I think, to show that most of these 40%, are not needed. If they are not needed, it reflects a big lack in government — actually a big bloat in government. You can see why the opponents of cuts see Trump as a fascist who uses “dog whistles” to motivate “his base”, there is a lack of communication and a fear Trump may be right too, I think. The experiment in smaller government is being run as I write, and Trump seems confident that some 400,000 federal workers are not needed. Are they? Instead of debating, we’ve got to violence: two attempts on Trump’s life so far, the main college debater, Charlie Kirk, shot dead. Appropriate, I think, is Bob Dylan’s, “Times are a-changing” and “something is happening here, but you don’t know what it is, do you, Mr Jones.”

Other questions are being worked out as we speak -sending chills through the old order: Are China and Europe “ripping us off,” by free trade and stolen technology? Are tariffs an answer. Canadian and European leaders deride these thoughts openly, but I notice that both Canada and the EU have put heavy tariffs on Chinese goods.

Another issue is respect for experts. The Atlantic bemoaned that Trump supporters don’t respect experts on health, climate, and education, but perhaps they are lying. The seas have not risen as expected. Some warming may be good, or better than the remedies. Even if RFK Jr.’s ideas are wrong it seems that science has become unreliable (irreproducible), and that elite colleges aren’t fair in their assessment, nor do they provide great value.

Eventually things will settle down; we will some day have polite discourse. In 40-50 years, I suspect we’ll agree that some tariffs are good and that Trump’s tariffs are either to high or low, We’ll think that the climate push to no nuclear power, was a mistake, as was the giant, Ivanpah solar farm). And we’ll be able to discuss it civilly. I hope the change in thought takes less than 50 years.

Robert Buxbaum, October 3, 2025 – we are now entering another physics crisis too, I think.

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.

Boy-Girl physics humor

Girl breaking up with her boyfriend: I just need two things, more space, and time.

Atoms try to understand themselves.

Atoms build physicists in an attempt to understand themselves. That’s also why physicists build physics societies and clubs.

Boyfriend: So, what’s the other thing?

 

Robert Buxbaum. And that, dear friend, is why science majors so rarely have normal boyfriends / girlfriends.

A female engineer friend of mine commented on the plight of dating in the department: “The odds are good, but the goods are odd.”

By the way, the solution to Einstein’s twin paradox resides in understanding that time is space. Both twins see the space ship moving at the same pace, but space shrinks for the moving twin in the space ship, not for the standing one. Thus, the moving twin finishes his (or her) journey in less time than the standing one observes.