Category Archives: Mathematics

Peter Thiel And Global Warming

Why he’s skeptical:

“Whenever you can’t have a debate, I often think that’s evidence that there’s a problem,” Thiel said on The Glenn Beck Program. “When people use the word ‘science,’ it’s often a tell, like in poker, that you’re bluffing. It’s like we have ‘social science’ and we have ‘political science,’ [but] we don’t call it ‘physical science’ or ‘chemical science.’ We just call them physics and chemistry because we know they’re right.”

Thiel said no one will be upset if you ask questions about the periodic table, because it is actually science. But referring to man-made climate change as “science” tells you “that people are exaggerating and they’re bluffing a little bit,” Thiel said.

“The weather has not been getting warmer for the last 15 years. The hockey stick that Al Gore predicted in the early 2000s on the climate has not happened,” he remarked. “And I think as this monolithic culture breaks down, you can have more debates.”

Yes.

Judith Curry’s WSJ Op-Ed

She rounds up the (hysterical and unhinged) reactions:

Climate science has been thrown into disarray by the hiatus, disagreement between climate model and instrumental estimates of climate sensitivity, uncertainties in carbon uptake by plants, and diverging interpretations of ocean heating (in the face of a dearth of observations). ‘Certainty’ arguably peaked at the time of the AR4 (2007); perception of uncertainty is arguably greater than any time since the FAR (1991). Yes of course we know more about the climate system than we did in 1991, but more knowledge about the complex climate systems opens up new areas of ignorance and greater uncertainty.

In context of the way climate sensitivity is defined by the IPCC, uncertainty in climate sensitivity is decreasing as errors in previous observational estimates are identified and eliminated and model estimates seem to be converging more. Climate model simulations, when compared with 21st century observations seem to be running too hot, giving creedence to the lower observation-based sensitivity values.

What do the lower values of climate sensitivity imply for policy? Well slower values of warming make it easier to adapt, and provide time to develop new technologies and new policies. But the true believers such as Mann et al. call adaptation, developing new technologies and policies as ‘inaction.’ The policy logic apparent in the essays critical of my op-ed are rather naive.

So we are left with science in disarray and naive logic regarding policy. And the ‘warm team’ wonders why people are yawning?

She should cite my piece on the precautionary principle.

Is There An Open-Source Doctor In The House?

OK, so I installed Gnucash on my machine last week, and it worked like a charm. I rebooted over the weekend after a yum update (which included a kernel rebuild I think) and now when I try to load the program, it crashes, with this response:

Backtrace:
In ice-9/boot-9.scm:
157: 16 [catch #t # …]
In unknown file:
?: 15 [apply-smob/1 #]
In ice-9/boot-9.scm:
3597: 14 [process-use-modules (((gnucash price-quotes)))]
702: 13 [map # ((#))]
3598: 12 [# (#)]
2864: 11 [resolve-interface (gnucash price-quotes) #:select …]
2789: 10 [# # …]
3065: 9 [try-module-autoload (gnucash price-quotes) #f]
2401: 8 [save-module-excursion #]
3085: 7 [#]
In unknown file:
?: 6 [primitive-load-path “gnucash/price-quotes” …]
In gnucash/price-quotes.scm:
41: 5 [#]
In ice-9/boot-9.scm:
3597: 4 [process-use-modules (((www main)))]
702: 3 [map # ((#))]
3598: 2 [# ((www main))]
2867: 1 [resolve-interface (www main) #:select …]
In unknown file:
?: 0 [scm-error misc-error #f “~A ~S” (“no code for module” (www main)) #f]

ERROR: In procedure scm-error:
ERROR: no code for module (www main)

Any ideas from anyone what the problem might be? I’ve tried uninstalling/reinstalling, with no joy.

[Update a few minutes later]

Someone else seems to have the same problem, or a very similar one. I’ve emailed Mssr. Villemont.

Also, I’ve come up with a temporary fix to let me get taxes done. Skrooge seems to be able to import the data. It’s more of a personal finance app than for business, but it will let me do what I need to do until I get Gnucash fixed.

[Update a few minutes later]

Great. I can import my personal finances, but it fails when it tries to bring in the business books.

[Update a while later]

Good news. I deleted the file recommended at that page, and Gnucash seems to load properly now.

Global Warming

The statistical meltdown:

The sensitivity of the climate to increasing concentrations of carbon dioxide is a central question in the debate on the appropriate policy response to increasing carbon dioxide in the atmosphere. Climate sensitivity and estimates of its uncertainty are key inputs into the economic models that drive cost-benefit analyses and estimates of the social cost of carbon.

Continuing to rely on climate-model warming projections based on high, model-derived values of climate sensitivity skews the cost-benefit analyses and estimates of the social cost of carbon. This can bias policy decisions. The implications of the lower values of climate sensitivity in our paper, as well as similar other recent studies, is that human-caused warming near the end of the 21st century should be less than the 2-degrees-Celsius “danger” level for all but the IPCC’s most extreme emission scenario.

That’s the wrong answer. It doesn’t justify ending capitalism.

Orbits And Suborbits

I’ve updated yesterday’s piece at Ricochet to clarify, for those in comments. I’ve probably discussed this here before, but…

Per discussion in comments, there seems to be some confusion about the difference between high-altitude flight, suborbital flight, and orbital flight. As John Walker points out, orbital flight requires a minimum speed to sustain the orbit, but while that is necessary, it is not a sufficient condition. In fact, a flight can be suborbital with the same speed (energy) as an orbital flight. The best, or at least, most rigorous way to define a “suborbit” is an orbit that intersects the atmosphere and/or surface of the planet. So if you launched straight up at orbital velocity, it would still be a suborbit, because it would (after an hour or two, I haven’t done the math) fall back to the ground. So John’s numbers in terms of comparative energy are roughly correct for the particular vehicles being discussed here (XCOR Lynx and VG SpaceShipTwo), they can’t be generalized for any suborbital vehicle (e.g., a sounding rocket isn’t orbital, but it goes much higher than those passenger vehicles, often hundreds of kilometers in altitude).

The speed necessary to achieve orbit is partly a function of the mass of the body being orbited, but it is also a function of its diameter, and whether or not it has an atmosphere. If the earth were a point mass, an object tossed out at an altitude equivalent to the earth radius (that is ground level) would have very little velocity, but it would have a lot of potential energy. It would fall, gain speed, whip around the center and come back up to the person who had tossed it. That is, it would orbit. So even for the relatively low-energy suborbital vehicles discussed in this post, the reason that they’re not orbital is simply that the planet gets in the way.

One other interesting point is that, under the definition above, subsonic “parabolic” aircraft flights in the atmosphere, to offer half a minute or so of weightlessness (offered by the Zero G company), are suborbital flights, in terms of their trajectory. I put “parabolic” in quotes because in actuality, if properly flown, they are really elliptical sections, as all orbits and suborbits are. The parabola is just a close approximation if you assume a flat earth, which is a valid assumption for the short distances involved. Galileo did his original artillery tables based on flat earth, which is why beginning physics students model cannonball problems as parabolas, but modern long-range artillery has to account for the earth curvature, and it does calculate as elliptical trajectories.

Finally, one more extension. Ignoring the atmosphere, every artillery shell fired, every ball thrown or hit, every long jumper, every person who simply hops up into the air, is in a suborbit. The primary distinction for the vehicles discussed is that they are in a suborbit that reaches a specific altitude (at least a hundred kilometers to officially be in “space”), and leaves the atmosphere.

Clear as mud?