NoSpotOfGround

Although the theory is promising, the duo point out that they have not yet completed its proof. The theory uses a technical procedure known as renormalization, a mathematical way of dealing with infinities that show up in the calculations.

So far Partanen and Tulkki have shown that this works up to a certain point—for so-called 'first order' terms—but they need to make sure the infinities can be eliminated throughout the entire calculation.

"If renormalization doesn't work for higher order terms, you'll get infinite results. So it's vital to show that this renormalization continues to work," explains Tulkki. "We still have to make a complete proof, but we believe it's very likely we'll succeed."

Why is the spring strengthened in the middle?

It doesn't seem to affect the spring's buckling characteristics.

My speculation is that it's to reduce spring noise. That strengthened region at the middle is where the spring will buckle outwards most, resting against the barely visible side rails on the inside of the case. Instead of just one wobbly contact point it now has three rigid ones as a "skate" to reduce the stick-slip noise when opening and retracting the tip. Is this right?

(The pen is a Mitsubishi Uni-Ball Power Tank, pretty much my favorite model.)

Tesla Cybertruck appears to be facing significant sales challenges. After initial hype faded, and over a million reservations turned out to be as real as unicorns, Tesla is now enabling leasing options and free upgrades to move its inventory of the futuristic pickup truck. The company's recent silence on the Cybertruck, even omitting it from their earnings call, speaks volumes about the situation.

Tesla initially projected sales of 500,000 Cybertrucks annually and established production capacity at the Giga Texas for 250,000 units per year. After working through the initial reservation backlog with fewer than 40,000 deliveries, the automaker is now struggling to sell the remaining vehicles.

I thought this was a very insightful video. Anders is often able to discern stark simple truths and their implications without falling into the trap of common misconceptions.

The prediction about what Russia will do on January 20th seems very likely to me.

Anders was one of the very few analysts that predicted Russia was going to invade in the months/weeks before their actual invasion.

Imagine you were reborn as a female queen ant with an expected lifespan of about 15 years (worker ants live about half a queen's timespan), and had the ambition to make the most of your tiny new life. And you got to keep your current intellectual capacity and knowledge.

How much could you achieve as an ant?

The way our bodies react to mosquito saliva motivates us to avoid being bitten. Which must have had evolutionary benefits, keeping us away from diseases.

I.e. all those people that didn't mind them and never got itchy from mosquito bites appear to have died out. And mosquitoes really wish that wasn't true.