Month: February 2022

It is important to take observations seriously. Many discussions of light frequency shift phenomena focus on the transformations, with more than a little implication that any observer’s stationary frame is more real than the others. So let’s take frequency shift seriously, starting with black holes. Objects near a black hole are very large. As things… Continue reading Taking frequency shift seriously

Why slack off at work? Because you want to have value in your future. Let’s start with your paycheck. Paychecks are very predictable. For example, the probability of my next paycheck not happening is much less than 1 percent. I can therefore claim all the value of that paycheck now, and regularly do so in… Continue reading Certainty and risk in human behavior

Lower risk increases the present value of future opportunities, but reduces the opportunity gradient. You can imagine an opportunity gradient as a plot of your value at a series of points in your future. The greater the gradient, the steeper the increase in that curve between any two future points. A result is that low… Continue reading Risk, present and future value

I just touched my toes during a sitting “touch your toes!” stretch for the first time … in probably ever. As it turns out, the key was not to directly touch my toes, but to understand stretching. On prior stretches, I would do as directed. When the instructor said “Touch your toes!”, I would bend… Continue reading Stretching Insights