# If I had a trillion dollars…

May 29 JDN 2459729

(To the tune of “If I had a million dollars” by Barenaked Ladies; by the way, he does now)

[Inspired by the book How to Spend a Trillion Dollars]

If I had a trillion dollars… if I had a trillion dollars!

I’d buy everyone a house—and yes, I mean, every homeless American.

[500,000 homeless households * \$300,000 median home price = \$150 billion]

If I had a trillion dollars… if I had a trillion dollars!

I’d give to the extreme poor—and then there would be no extreme poor!

If I had a trillion dollars… if I had a trillion dollars!

I’d send people to Mars—hey, maybe we’d find some alien life!

If I had a trillion dollars… if I had a trillion dollars!

I’d build us a Moon base—haven’t you always wanted a Moon base?

[Estimated cost of a permanent Lunar base: \$35 billion. NASA is bad at forecasting cost, so let’s allow cost overruns to take us to \$100 billion.]

If I had a trillion dollars… if I had a trillion dollars!

I’d build a new particle accelerator—let’s finally figure out dark matter!

[Cost of planned new accelerator at CERN: \$24 billion. Let’s do 4 times bigger and make it \$100 billion.]

If I had a trillion dollars… if I had a trillion dollars!

I’d save the Amazon—pay all the ranchers to do something else!

[Brazil, where 90% of Amazon cattle ranching is, produces about 10 million tons of beef per year, which at an average price of \$5000 per ton is \$50 billion. So I could pay all the farmers two years of revenue to protect the Amazon instead of destroying it for \$100 billion.]

If I had a trillion dollars…

We wouldn’t have to drive anymore!

If I had a trillion dollars…

We’d build high-speed rail—it won’t cost more!

Hey wait, I could get it from a carbon tax!

If I had a trillion dollars… I’d save the world….

All of the above really could be done for under \$1 trillion. (Some of them would need to be repeated, so we could call it \$1 trillion per year.)

I, of course, do not, and will almost certainly never have, anything approaching \$1 trillion.

But here’s the thing: There are people who do.

Elon Musk and Jeff Bezos together have a staggering \$350 billion. That’s two people with enough money to end world hunger. And don’t give me that old excuse that it’s not in cash: UNICEF gladly accepts donations in stock. They could, right now, give their stocks to UNICEF and thereby end world hunger. They are choosing not to do that. In fact, the goodwill generated by giving, say, half their stocks to UNICEF might actually result in enough people buying into their companies that their stock prices would rise enough to make up the difference—thus costing them literally nothing.

The total net wealth of all the world’s billionaires is a mind-boggling \$12.7 trillion. That’s more than half a year of US GDP. Held by just over 2600 people—a small town.

The US government spends \$4 trillion in a normal year—and \$5 trillion the last couple of years due to the pandemic. Nearly \$1 trillion of that is military spending, which could be cut in half and still be the highest in the world. After seeing how pathetic Russia’s army actually is in battle (they paint Zs on their tanks because apparently their IFF system is useless!), are we really still scared of them? Do we really need eleven carrier battle groups?

Yes, the total cost of mitigating climate change is probably in the tens of trillions—but the cost of not mitigating climate change could be over \$100 trillion. And it’s not as if the world can’t come up with tens of trillions; we already do. World GDP is now over \$100 trillion per year; just 2% of that for 10 years is \$20 trillion.

Do these sound like good ideas to you? Would you want to do them? I think most people would want most of them. So now the question becomes: Why aren’t we doing them?

# Will we ever have the space opera future?

May 22 JDN 2459722

Space opera has long been a staple of science fiction. Like many natural categories, it’s not that easy to define; it has something to do with interstellar travel, a variety of alien species, grand events, and a big, complicated world that stretches far beyond any particular story we might tell about it.

Star Trek is the paradigmatic example, and Star Wars also largely fits, but there are numerous of other examples, including most of my favorite science fiction worlds: Dune, the Culture, Mass Effect, Revelation Space, the Liaden, Farscape, Babylon 5, the Zones of Thought.

I think space opera is really the sort of science fiction I most enjoy. Even when it is dark, there is still something aspirational about it. Even a corrupt feudal transplanetary empire or a terrible interstellar war still means a universe where people get to travel the stars.

How likely is it that we—and I mean ‘we’ in the broad sense, humanity and its descendants—will actually get the chance to live in such a universe?

First, let’s consider the most traditional kind of space opera, the Star Trek world, where FTL is commonplace and humans interact as equals with a wide variety of alien species that are different enough to be interesting, but similar enough to be relatable.

This, sad to say, is extremely unlikely. FTL is probably impossible, or if not literally impossible then utterly infeasible by any foreseeable technology. Yes, the Alcubierre drive works in theory… all you need is tons of something that has negative mass.

And while, by sheer probability, there almost have to be other sapient lifeforms somewhere out there in this vast universe, our failure to contact or even find clear evidence of any of them for such a long period suggests that they are either short-lived or few and far between. Moreover, any who do exist are likely to be radically different from us and difficult to interact with at all, much less relate to on a personal level. Maybe they don’t have eyes or ears; maybe they live only in liquid hydrogen or molten lead; maybe they communicate entirely by pheromones that are toxic to us.

Does this mean that the aspirations of space opera are ultimately illusory? Is it just a pure fantasy that will forever be beyond us? Not necessarily.

I can see two other ways to create a very space-opera-like world, one of which is definitely feasible, and the other is very likely to be. Let’s start with the one that’s definitely feasible—indeed so feasible we will very likely get to experience it in our own lifetimes.

That is to make it a simulation. An MMO video game, in a way, but something much grander than any MMO that has yet been made. Not just EVE and No Man’s Sky, not just World of Warcraft and Minecraft and Second Life, but also Facebook and Instagram and Zoom and so much more. Oz from Summer Wars; OASIS from Ready Player One. A complete, multifaceted virtual reality in which we can spend most if not all of our lives. One complete with not just sight and sound, but also touch, smell, even taste.

Since it’s a simulation, we can make our own rules. If we want FTL and teleportation, we can have them. (And I would like to note that in fact teleportation is available in EVE, No Man’s Sky, World of Warcraft, Minecraft, and even Second Life. It’s easy to implement in a simulation, and it really seems to be something people want to have.) If we want to meet—or even be—people from a hundred different sapient species, some more humanoid than others, we can. Each of us could rule entire planets, command entire starfleets.

And we could do this, if not right now, today, then very, very soon—the VR hardware is finally maturing and the software capability already exists if there is a development team with the will and the skills (and the budget) to do it. We almost certainly will do this—in fact, we’ll do it hundreds or thousands of different ways. You need not be content with any particular space opera world, when you can choose from a cornucopia of them; and fantasy worlds too, and plenty of other kinds of worlds besides.

Yet, I admit, there is something missing from that future. While such a virtual-reality simulation might reach the point where it would be fair to say it’s no longer simply a “video game”, it still won’t be real. We won’t actually be Vulcans or Delvians or Gek or Asari. We will merely pretend to be. When we take off the VR suit at the end of the day, we will still be humans, and still be stuck here on Earth. And even if most of the toil of maintaining this society and economy can be automated, there will still be some time we have to spend living ordinary lives in ordinary human bodies.

So, is there some chance that we might really live in a space-opera future? Where we will meet actual, flesh-and-blood people who have blue skin, antennae, or six limbs? Where we will actually, physically move between planets, feeling the different gravity beneath our feet and looking up at the alien sky?

Yes. There is a way this could happen. Not now, not for awhile yet. We ourselves probably won’t live to see it. But if humanity manages to continue thriving for a few more centuries, and technology continues to improve at anything like its current pace, then that day may come.

We won’t have FTL, so we’ll be bounded by the speed of light. But the speed of light is still quite fast. It can get you to Mars in minutes, to Jupiter in hours, and even to Alpha Centauri in a voyage that wouldn’t shock Magellan or Zheng He. Leaving this arm of the Milky Way, let alone traveling to another galaxy, is out of the question (at least if you ever want to come back while anyone you know is still alive—actually as a one-way trip it’s surprisingly feasible thanks to time dilation).

This means that if we manage to invent a truly superior kind of spacecraft engine, one which combines the high thrust of a hydrolox rocket with the high specific impulse of an ion thruster—and that is physically possible, because it’s well within what nuclear rockets ought to be capable of—then we could travel between planets in our solar system, and maybe even to nearby solar systems, in reasonable amounts of time. The world of The Expanse could therefore be in reach (well, the early seasons anyway), where human colonies have settled on Mars and Ceres and Ganymede and formed their own new societies with their own unique cultures.

We may yet run into some kind of extraterrestrial life—bacteria probably, insects maybe, jellyfish if we’re lucky—but we probably ever won’t actually encounter any alien sapients. If there are any, they are probably too primitive to interact with us, or they died out millennia ago, or they’re simply too far away to reach.

But if we cannot find Vulcans and Delvians and Asari, then we can become them. We can modify ourselves with cybernetics, biotechnology, or even nanotechnology, until we remake ourselves into whatever sort of beings we want to be. We may never find a whole interplanetary empire ruled by a race of sapient felinoids, but if furry conventions are any indication, there are plenty of people who would make themselves into sapient felinoids if given the opportunity.

Such a universe would actually be more diverse than a typical space opera. There would be no “planets of hats“, no entire societies of people acting—or perhaps even looking—the same. The hybridization of different species is almost by definition impossible, but when the ‘species’ are cosmetic body mods, we can combine them however we like. A Klingon and a human could have a child—and for that matter the child could grow up and decide to be a Turian.

Honestly there are only two reasons I’m not certain we’ll go this route:

One, we’re still far too able and willing to kill each other, so who knows if we’ll even make it that long. There’s also still plenty of room for some sort of ecological catastrophe to wipe us out.

And two, most people are remarkably boring. We already live in a world where one could go to work every day wearing a cape, a fursuit, a pirate outfit, or a Starfleet uniform, and yet people don’t let you. There’s nothing infeasible about me delivering a lecture dressed as a Kzin Starfleet science officer, and nor would it even particularly impair my ability to deliver the lecture well; and yet I’m quite certain it would be greatly frowned upon if I were to do so, and could even jeopardize my career (especially since I don’t have tenure).

Would it be distracting to the students if I were to do something like that? Probably, at least at first. But once they got used to it, it might actually make them feel at ease. If it were a social norm that lecturers—and students—can dress however they like (perhaps limited by local decency regulations, though those, too, often seem overly strict), students might show up to class in bunny pajamas or pirate outfits or full-body fursuits, but would that really be a bad thing? It could in fact be a good thing, if it helps them express their own identity and makes them more comfortable in their own skin.

But no, we live in a world where the mainstream view is that every man should wear exactly the same thing at every formal occasion. I felt awkward at the AEA conference because my shirt had color.

This means that there is really one major obstacle to building the space opera future: Social norms. If we don’t get to live in this world one day, it will be because the world is ruled by the sort of person who thinks that everyone should be the same.

# Scalability and inequality

May 15 JDN 2459715

Why are some molecules (e.g. DNA) billions of times larger than others (e.g. H2O), but all atoms are within a much narrower range of sizes (only a few hundred)?

Why are some animals (e.g. elephants) millions of times as heavy as other (e.g. mice), but their cells are basically the same size?

Why does capital income vary so much more (factors of thousands or millions) than wages (factors of tens or hundreds)?

These three questions turn out to have much the same answer: Scalability.

Atoms are not very scalable: Adding another proton to a nucleus causes interactions with all the other protons, which makes the whole atom unstable after a hundred protons or so. But molecules, particularly organic polymers such as DNA, are tremendously scalable: You can add another piece to one end without affecting anything else in the molecule, and keep on doing that more or less forever.

Cells are not very scalable: Even with the aid of active transport mechanisms and complex cellular machinery, a cell’s functionality is still very much limited by its surface area. But animals are tremendously scalable: The same exponential growth that got you from a zygote to a mouse only needs to continue a couple years longer and it’ll get you all the way to an elephant. (A baby elephant, anyway; an adult will require a dozen or so years—remarkably comparable to humans, in fact.)

Labor income is not very scalable: There are only so many hours in a day, and the more hours you work the less productive you’ll be in each additional hour. But capital income is perfectly scalable: We can add another digit to that brokerage account with nothing more than a few milliseconds of electronic pulses, and keep doing that basically forever (due to the way integer storage works, above 2^63 it would require special coding, but it can be done; and seeing as that’s over 9 quintillion, it’s not likely to be a problem any time soon—though I am vaguely tempted to write a short story about an interplanetary corporation that gets thrown into turmoil by an integer overflow error).

This isn’t just an effect of our accounting either. Capital is scalable in a way that labor is not. When your contribution to production is owning a factory, there’s really nothing to stop you from owning another factory, and then another, and another. But when your contribution is working at a factory, you can only work so hard for so many hours.

When a phenomenon is highly scalable, it can take on a wide range of outcomes—as we see in molecules, animals, and capital income. When it’s not, it will only take on a narrow range of outcomes—as we see in atoms, cells, and labor income.

Exponential growth is also part of the story here: Animals certainly grow exponentially, and so can capital when invested; even some polymers function that way (e.g. under polymerase chain reaction). But I think the scalability is actually more important: Growing rapidly isn’t so useful if you’re going to immediately be blocked by a scalability constraint. (This actually relates to the difference between r- and K- evolutionary strategies, and offers further insight into the differences between mice and elephants.) Conversely, even if you grow slowly, given enough time, you’ll reach whatever constraint you’re up against.

Indeed, we can even say something about the probability distribution we are likely to get from random processes that are scalable or non-scalable.

A non-scalable random process will generally converge toward the familiar normal distribution, a “bell curve”:

[Image from Wikipedia: By Inductiveload – self-made, Mathematica, Inkscape, Public Domain, https://commons.wikimedia.org/w/index.php?curid=3817954]

The normal distribution has most of its weight near the middle; most of the population ends up near there. This is clearly the case for labor income: Most people are middle class, while some are poor and a few are rich.

But a scalable random process will typically converge toward quite a different distribution, a Pareto distribution:

[Image from Wikipedia: By Danvildanvil – Own work, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=31096324]

A Pareto distribution has most of its weight near zero, but covers an extremely wide range. Indeed it is what we call fat tailed, meaning that really extreme events occur often enough to have a meaningful effect on the average. A Pareto distribution has most of the people at the bottom, but the ones at the top are really on top.

And indeed, that’s exactly how capital income works: Most people have little or no capital income (indeed only about half of Americans and only a third(!) of Brits own any stocks at all), while a handful of hectobillionaires make utterly ludicrous amounts of money literally in their sleep.

Indeed, it turns out that income in general is pretty close to distributed normally (or maybe lognormally) for most of the income range, and then becomes very much Pareto at the top—where nearly all the income is capital income.

This fundamental difference in scalability between capital and labor underlies much of what makes income inequality so difficult to fight. Capital is scalable, and begets more capital. Labor is non-scalable, and we only have to much to give.

It would require a radically different system of capital ownership to really eliminate this gap—and, well, that’s been tried, and so far, it hasn’t worked out so well. Our best option is probably to let people continue to own whatever amounts of capital, and then tax the proceeds in order to redistribute the resulting income. That certainly has its own downsides, but they seem to be a lot more manageable than either unfettered anarcho-capitalism or totalitarian communism.

# Maybe we should forgive student debt after all.

May 8 JDN 2459708

President Biden has been promising some form of student debt relief since the start of his campaign, though so far all he has actually implemented is a series of no-interest deferments and some improvements to the existing forgiveness programs. (This is still significant—it has definitely helped a lot of people with cashflow during the pandemic.) Actual forgiveness for a large segment of the population remains elusive, and if it does happen, it’s unclear how extensive it will be in either intensity (amount forgiven) or scope (who is eligible).

I personally had been fine with this; while I have a substantial loan balance myself, I also have a PhD in economics, which—theoretically—should at some point entitle me to sufficient income to repay those loans.

Moreover, until recently I had been one of the few left-wing people I know to not be terribly enthusiastic about loan forgiveness. It struck me as a poor use of those government funds, because \$1.75 trillion is an awful lot of money, and college graduates are a relatively privileged population. (And yes, it is valid to consider this a question of “spending”, because the US government is the least liquidity-constrained entity on Earth. In lieu of forgiving \$1.75 trillion in debt, they could borrow \$1.75 trillion in debt and use it to pay for whatever they want, and their ultimate budget balance would be basically the same in each case.)

But I say all this in the past tense because Krugman’s recent column has caused me to reconsider. He gives two strong reasons why debt forgiveness may actually be a good idea.

The first is that Congress is useless. Thanks to gerrymandering and the 40% or so of our population who keeps electing Republicans no matter how crazy they get, it’s all but impossible to pass useful legislation. The pandemic relief programs were the exception that proves the rule: Somehow those managed to get through, even though in any other context it’s clear that Congress would never have approved any kind of (non-military) program that spent that much money or helped that many poor people.

Student loans are the purview of the Department of Education, which is entirely under control of the Executive Branch, and therefore, ultimately, the President of the United States. So Biden could forgive student loans by executive order and there’s very little Congress could do to stop him. Even if that \$1.75 trillion could be better spent, if it wasn’t going to be anyway, we may as well use it for this.

The second is that “college graduates” is too broad a category. Usually I’m on guard for this sort of thing, but in this case I faltered, and did not notice the fallacy of composition so many labor economists were making by lumping all college grads into the same economic category. Yes, some of us are doing well, but many are not. Within-group inequality matters.

A key insight here comes from carefully analyzing the college wage premium, which is the median income of college graduates, divided by the median income of high school graduates. This is an estimate of the overall value of a college education. It’s pretty large, as a matter of fact: It amounts to something like a doubling of your income, or about \$1 million over one’s whole lifespan.

From about 1980-2000, wage inequality grew about as fast as today, and the college wage premium grew even faster. So it was plausible—if not necessarily correct—to believe that the wage inequality reflected the higher income and higher productivity of college grads. But since 2000, wage inequality has continued to grow, while the college wage premium has been utterly stagnant. Thus, higher inequality can no longer (if it ever could) be explained by the effects of college education.

Now some college graduates are definitely making a lot more money—such as those who went into finance. But it turns out that most are not. As Krugman points out, the 95th percentile of male college grads has seen a 25% increase in real (inflation-adjusted) income in the last 20 years, while the median male college grad has actually seen a slight decrease. (I’m not sure why Krugman restricted to males, so I’m curious how it looks if you include women. But probably not radically different?)

I still don’t think student loan forgiveness would be the best use of that (enormous sum of) money. But if it’s what’s politically feasible, it definitely could help a lot of people. And it would be easy enough to make it more progressive, by phasing out forgiveness for graduates with higher incomes.

And hey, it would certainly help me, so maybe I shouldn’t argue too strongly against it?

# Welp, I have COVID.

May 1 JDN 2459701

Tuesday night I had a fever. Wednesday morning, I tested positive.

Given how the pandemic has been going, I suppose it was more or less inevitable that this day would come. From almost the beginning, the refrain was “flatten the curve”, not “wait for a cure”. It was expected that almost all of us would get the virus eventually, and just a question of how long we could draw that out. In my case, apparently two years. For that whole time I had been scrupulous about precautions, but I did not sustain all of them all of the time, and indeed as Scotland loosened restrictions I think I became too complacent.

The good news is that I am young and reasonably healthy (migraines notwithstanding), and I had three doses of the Moderna vaccine. As a result my symptoms are relatively mild; I feel like I have a bad cold or perhaps a mild flu. Aside from the fever, which I’ve been able to keep down with NSAIDs, pretty much all my symptoms are in my sinuses. So far, I haven’t even lost my sense of taste.

It hasn’t even really interfered with my work, because my migraines were already doing a bang-up job of that. (My accent remains consistently “American broadcast standard”, but as you can see, I am gradually picking up some Britishisms, such as “bang-up job” and “sorted” with no “out”, as well as learning to put the “u” in “labour” and “behaviour”. I doubt I’ll ever start saying “aye” and “nae” though.) I am in fact even less productive than I was without COVID, but the marginal difference is relatively small. The main activity it has kept me from doing is moving and unpacking boxes (now that our shipment from California has finally arrived).

So, all things considered, if I was going to get infected with a pandemic and potentially life-threatening virus, it could have been a lot worse.