Totally agree. I was disappointed to see the article follow the trend of framing everything in life around the notion of productivity. But one can only be thankful that poor mental health is correlated with poor productivity - it means the evolutionary pressure for modern capitalist society is at least acting in the right direction...
Agreed, I think this is an overly-simplified explanation. Skimming the paper it looks like the crucial thing which introduces bias is precession of the coin.
>Rotation is inherently about different particles moving at different velocities. This is why there is an absolute reference frame for it: it is defined by these differences, so by reducing them to zero and making every particle in the ball have the same velocity, we can reach the "absolute".
Imagine the ball is floating in space, and you are watching things through a camera fixed to the ball. To you, the two dots will always appear stationary with zero relative velocity. So there is no way to determine your absolute reference frame.
Now suppose you are watching through an external camera, and suppose you observe the dots having a relative velocity. Is the ball spinning, or is the camera orbiting around the ball? Again, there is no way to tell.
But if you were the camera you'd feel a force, or not, right? It's not like being in an elevator in free-fall, where you can't tell whether you're accelerating downwards or sitting still in flat space.
True, but the GP suggested that you can find the absolute reference frame by looking at the relative velocities of the dots (independent of any force measurements).
The elevator analogy breaks down if you're larger than a point-particle in a point-elevator. Gravity's force varies with distance, causing tidal forces on your body, allowing something large/sensitive enough to feel the difference. Gravity stretches you whereas uniform acceleration does not, and non-uniform acceleration compresses you.
In other words, you can determine that you're in a gravitational field by measuring the difference in force at different locations in the elevator.
If it were gravitational there would have to be a mass in the right place to cause it. Maybe you could look at how the force changed as you moved around?
It tastes delicious and has a fantastic aroma. It's quite complex. I'd put it somewhere between vanilla, marzipan and cinnamon. I've tried it with chocolate, almond, vanilla, fruit, cream, custard with good results. It also apparently goes well with fish (haven't tried it yet).
The ratio has units of years - how many years of GDP does the value of the stock market represent? How long will it take the economy to produce the value assumed by the stock market valuations? Sure, that's not a pure number, but it's also not a totally nonsense number. At a minimum, it can be compared to historical values of the same number.
> He can go left and come out right to demonstrate that he knows the secret - without revealing the secret
Correct
> The reporter would still not know how he did it
Correct
> and could not pass his conviction on to the judges
Incorrect, in this case he could pass on his conviction to the judges simply by showing them the tape where Mick goes in left and comes out right in a single unbroken take. Such a tape cannot be faked by the fake reporter.
> Such a tape cannot be faked by the fake reporter.
This is where I disagree. The second reporter will just tape the actor going in the left, editing magic, and observe him coming out the right. Both tapes will be indistinguishable.
In the original story the second reporter couldn't produce an unbroken tape between successive trials like the first reporter, so that can't be the litmus for proof.
If you want, you can forget about recording and tapes. Assume there was another person (unaffiliated with Mick or the reporter) standing next to the reporter while the experiment was being conducted. The rest of the story can stay the same. Mick also does not want this person to become convinced that Mick knows the secret.
Per the original story, this second person cannot know whether Mick coming out of the path that the reporter announces is a genuine display of Mick's ability or simply a collusion between Mick and the reporter. But if we go with the plan to observe Mick going in one path and out the other then this second person can become convinced of it.
