mahiwaga

I'm not really all that mysterious

Growth of Capitalist Economies

I honestly don’t understand why everyone uses exponential curves for their models when sigmoidal curves seem to better model reality for lots of phenomena: population growth, language change, diffusion of innovation… and perhaps even the growth of capitalist economies.

logistic growth curve

Standard logistic sigmoid function • Wikipedia

Economics Might Be Very Wrong About Growth • 2016 Jan 28 • Mark Buchanan • Bloomberg View

posted by Author's profile picture mahiwaga

Clinton and the Dunning School

There’s really no point in pandering to white supremacist neo-Confederates in the 21st century because there’s no chance they’ll vote for a Democrat anyway

How Hillary Clinton got on the wrong side of liberals’ changing theory of American history • 2016 Jan 26 • Matthew Yglesias • Vox

posted by Author's profile picture mahiwaga

Fate Map of Stars

When I was a senior in high school, I read Black Holes and Time Warps: Einstein’s Outrageous Legacy by Kip Thorne and gave a presentation on it for my Honors Physics class (incidentally, in the same classroom that Jake Gyllenhaal attempts to have a cosmological discussion with Noah Wyle in “Donnie Darko”)

I was enamored by the myriad fates of dying stars.

Stars with core temperatures around 15 million Kelvin or less (like the Sun) convert hydrogen to helium via the proton-proton chain reaction.

In time, the hydrogen in the core will run out, and the core will collapse due to gravity. This will cause the outer layers to heat up and expand, transforming the star into a red giant.

The core will eventually stop collapsing due to electron degeneracy pressure

This will cause the helium in the core to heat up, creating a helium flash that converts helium to carbon via the triple alpha process.

Stars the size of the sun won’t get hot enough to ignite the fusion of carbon, and they will become white dwarfs.

Bigger/hotter stars (more than 1.3x the mass of the Sun) have more cataclysmic fates: supernovae, neutron stars, black holes.

Once helium is depleted, carbon fusion predominates, which then gives way to neon fusion, then oxygen fusion, then finally silicon fusion

  • 28Si + 4He → 32S + γ
  • 32S + 4He → 36Ar + γ
  • 36Ar + 4He → 40Ca + γ
  • 40Ca + 4He → 44Ti + γ
  • 44Ti + 4He → 48Cr + γ
  • 48Cr + 4He → 52Fe + γ
  • 52Fe + 4He → 56Ni

Nickel-56 then decays to cobalt-56 via electron capture

56Ni + e-56Co + ν

And cobalt-56 decays to iron-56 via electron capture or positron emission

  • 56Co + e-56Fe + ν
  • 56Co → 56Fe + e+ + ν1

While nickel-56 can fuse with helium to form zinc-60, because the helium comes from photodisintegration of other heavy nuclei (the original helium of the star already having been mostly consumed by carbon burning), it is a net endothermic process.

So fusion basically ends with iron.

The most abundantly synthesised nuclei in these conditions turn out to be nickel-56 and the unstable α nuclei beyond calcium (titanium-44, chromium-48, iron-52, and zinc-60). This is perhaps the most beautiful result in the whole theory of nucleosynthesis, for it shows that iron, used in railways and haemoglobin, the king of nuclear creation, one might say, is not actually produced as iron, but in the form of radioactive nickel.

Stellar Alchemy: The Celestial Origin of Atoms • Michel Cassé • Google Books

So we have the reason why barns are painted red.

Barns Are Painted Red Because of the Physics of Dying Stars • 2013 May 10 • Rose Eveleth • Smithsonian

(TL;DR, barns are painted red ochre—Fe2O3—because it’s the cheapest paint and that’s because of the abundance of iron-56.)

  1. The Properties of Ni → Co → Fe Decay • 1994 Jun • D.K. Nadyozhin • The Astrophysical Journal Supplement Series • SAO/NASA Astrophysics Data System

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Challenger Disaster Revisited

I know Elon Musk and others are working on it, but remembering this tragedy also makes me feel especially sad that the U.S. doesn’t have independent human space flight capability right now.

America remembers Challenger, 30 years on • 2016 Jan 26 • Reuters

The Challenger Space Shuttle Disaster, 30 Years Later • 2016 Jan 28 • Karen Workman • New York Times

posted by Author's profile picture mahiwaga