Huh?
"Where it becomes interesting is how Einstein draws out Schrödinger’s work: it left only the possibilities that the cosmological constant was a fixed number, or variable."
A variable constant? That's revolutionary maths right there!!
It’s of historical interest only, at this point, but an analysis of an exchange between Albert Einstein and Erwin Schrödinger seems to show how close Einstein came to predicting the dark energy problem. In this paper, submitted to Arxiv and described at the Arxiv Blog here, Alex Harvey of City University, New York, examines a …
"Where it becomes interesting is how Einstein draws out Schrödinger’s work: it left only the possibilities that the cosmological constant was a fixed number, or variable."
A variable constant? That's revolutionary maths right there!!
Programmers know - "Constants aren't, variables don't"
Maybe the universe is expanding at at a constant rate but the time inside is being stretched thinner, so it seems to be accelerating.
We all know that there's only so much time to do anything, usually short by 10%.
It's mostly a matter of scale.. The number can change over the whole lifetime of the universe (opening another can of worms, as Einstein noted) , which is a rather vast amount of time. For the here-and-now (or a sufficiently "short" time interval) it can be considered "fixed" and act as a constant. The error you get in your calculation would be insignificant, and be applicable to that specific point in space-time.
It's not unlike the old and tried example where Newtonian mechanics work just fine, as long as you stay well below c. The relativistic portion becomes insignificant, and can be "safely" ignored for practical purposes.
"that the cosmological constant was a fixed number, or variable."
"A variable constant? That's revolutionary maths right there!!"
or !
"...it left only the possibilities that the cosmological constant was [either] a fixed number, or variable."
Perhaps that can help the hard-of-parsing understand the wording. I thought it was pretty clear, given the next sentence begins:
"The latter, however, he finds deeply problematic..."
people just need to engage their brains a bit more! I mean FFS the text was perfectly clear. I am quite angry now.
> A variable constant? That's revolutionary maths right there!!
No, it's cromulent.
The cosmological constant arises as a "constant of integration", i.e. there's an equation, and Einstein integrated both sides of it by some variable (sorry, I don't remember which off hand). When you do this, you get a new equation where you introduce a "constant". This means it's a value which doesn't depend on the variable you are integrating by. It may well depend on some other variable, or it could be a fixed number, but in this context you call it a constant of integration. The interesting point is that the process gives you no information at all about the value of that constant.
> Hofstadter's law!
The Eighty Per Cent rule.
The last 20% of the project takes 80% of the time allotted. Unfortunately, the first 80% of the project has already taken 80% of the time allotted...
Vic.
Too bad Einstein wasn't around today to use the tools that is available.
A link needs to be spell checked. Erwin SchrÃƒÂƒÃ‚ÂƒÃƒÂ‚Ã‚ÂƒÃƒÂƒÃ‚Â‚ÃƒÂ‚Ã‚Â¶Dinger
I thought it was my version of Firefox having another one of its intermittent problems with non-English characters!
The trouble is, I may now always hear SchrÃƒÂƒÃ‚ÂƒÃƒÂ‚Ã‚ÂƒÃƒÂƒÃ‚Â‚ÃƒÂ‚Ã‚Â¶Dinger in my head whenever his name comes up (a bit like I always hear "SkIIIIIIIIIIIIIIIIInEEEEEEEr" because of the Simpsons).
That looks like it has been interpreted and reinterpreted alternatively as ISO Latin 1 and UTF-8 several times...
How is that "embarrassing"? In front of whom?
The attitude of the Prussian Gymnasium, "know all your answers when the teacher asks you" should be deep-sixed once you leave that lair of scum and villany.
> We cannot explain it.
We cannot "explain" basic QM either.
>> We cannot explain it.
> We cannot "explain" basic QM either.
We can't explain magnets.
...or women...
...And the strange problem of boiling water freezing faster than room temperature water...
The boiling water freezing faster has been explained, or at least explained to the point that there are few arguments about it.
We're still utterly knackered on the first problem though. Tens of thousands of dilligent research and still no closer to understanding.
Magnetic can be reduced to electric fields + relativistic effects though.
We can explain magnets - you just weren’t paying attention or your teacher was shit.
Or are we getting into a new 'creationist' physics era where people pretend something can't be explained by one branch of physics so they can put forward another knowing that 99.999% of the population have trouble working a remote?
> We can explain magnets - you just weren’t paying attention or your teacher was shit.
Wooosh....
http://knowyourmeme.com/memes/fcking-magnets-how-do-they-work
He had women figured out, at least well enough to live with his wife and mistress in the same house.
That's about as comprehensible a description of dark energy as I've heard yet! Sounds like the Hip Einie was there; he just couldn't believe that there was actually any "there" where he was!
he just couldn't believe that there was actually any "there" where he was!
That's because it is only true for very large values of wasn't.
The cat was fine. After Schrödinger put it in the box and closed the lid, Someone in another room saw an empty bag moving, opened it, and let the cat out of the bag.
(Seems Schrödinger forgot to account for quantum tunneling and feline luck.)
Ah, but can one cat simultaneously exit two bags in two different rooms?
And does this experiment scale beyond 9?
"and not observing into which bag the cat climbed,"
That's easy, in order
1) the warmest
2) the most comfortable
3) the easiest to get into
4 the hardest to be removed from
As the great philosophical group Squeeze once said “It’s very cool for cats”, though we have not idea with it is that is cool for cats
"But cats are pretty cool already, no?"
Er, yes and no.
"The experiment will be easiest to run if the probabilities are equal -- so the bags are equally warm, comfortable, easy to get into, hard to be pulled from, inconvenient for whichever human is nearby, on top of something someone is wanting to read, etc."
I also think that it's going to be impossible to get two exact bags and even if there is only an infinitesimal difference between them the cat will choose the best one
"if we cool the cat down as far as possible."
I think you are probably breaking the 5th Law of Thermodynamics
" Any small increase in the cat's de Broglie wavelength will be extremely helpful."
Cats can adjust their de Broglie wavelength, their zero point energy and almost every other parameter. They are also quite capable of emerging from a blackhole ( or any other sort of interesting subterranean space)
All this off-topic for sure but discussing GR at this time of the morning (UK) is a bit heavy.