Dear friend,
It is tacitly assumed that the equation in my explanation is evaluated at the cut with ##P_\text{water}## denoting the water inside the bottle. I'm not sure what you meant by saying the pressure in water is not constant due to gravity, but when I talk about ##P_\text{water}##, I do...
I'd like to ask about an experiment on atmospheric pressure. To conduct the experiment, we need an empty PET bottle and make a small cut on the lower part of the bottle. A cut no greater than one-half the circumference is acceptable. Then, we press a table tennis ball against the cut to open the...
Hello, a quick reference for this topic can be found on arXiv, as follows.
https://arxiv.org/abs/1510.02931
I guess the term "quasi-local mass" is more familiar to people working on mathematical relativity or mathematical physics, such as Shing-Tung Yau and Robert Geroch.
Thank you for replying.
I'm self-studying the mathematical aspects of quasi-local mass, or quasi-local energy (e.g. Hawking energy), and a fundamental question has been lingering in my mind for a long time: why does quasi-local mass provide us with a measure of the gravitational energy? In general relativity...
Thank you. The chapter you mentioned does contain some information about vielbein, but to crack the problem, I need to find the variations of ##e_a^\mu## and ##\omega_a^{bc}##. This confuses me a lot because those ##\lambda##'s and partial derivatives in the formulas came out of nowhere.
I am taking a course on General Relativity. Recently, I was given the following homework assignment, which reads
> Derive the following transformation rules for vielbein and spin connection:
$$\delta e_a^\mu=(\lambda^\nu\partial_\nu e_a^\mu-e_a^\nu\partial_\nu\lambda^\mu)+\lambda_a^b e_b^\mu$$...
Thank you. Yeah, maybe you got a point, but I used the term "commercial" to distinguish the transformer in the clip from the one in physics textbooks. And I really want to know what role the silicon iron sheets play in a "commercial" setting. Do they make the transformer work better? If not, can...
Hi, everyone. I just finished studying the principle on which a transformer works. It relies on Faraday's law of induction. And my high school physics book uses the following picture for illustration:
Roughly speaking, the...