So, once the order has been placed, haven't you effectively entered into a contract for sale or something?
No, not until your credit card has been charged. If they have done that then you have them under the credit card agreement but before that they can wriggle out of it as a mistake under their own terms.
If I start with the glass on the table then there are is a very large range of momenta I can give the glass to arrive at the state where it is shards on the floor so long as I don't care which particular set of shards it makes. To convert from any given set of shards on the floor back to a glass I have to give each shard a precise linear and angular momentum such that they will reassemble themselves into the glass. Hence in the phase space of all possible momenta for all the shards I have to hit a single point where as for the reverse just have to hit a large area in a far lower dimensional phase space. The same applies to glasses colliding in space.
In the high energy limit the same will apply. The nuclei of the glass will collide to produce hadronic showers, each particle of which will have its own 4-momentum. However in this case it is clear that you cannot reverse the system since some of the interactions and subsequent decays will involve the weak force which we know is not symmetric under time reversal.
As such, I take a lot of taxi rides each year. But it doesn't matter if I'm in NYC, London, Paris, Berlin, Toronto, LA....
Have you actually ever taken a cab in London? The problem is the exact opposite of what you describe with only ~5% from minorities to the extent that they are trying to recruit more. As for "untrained hipster" they are required to pass The Knowledge before they get a license. They may have somewhat colourful characters but I've never had one who is not extremely competent, knowledgeable and driving a clear, well repaired cab.
Eggs turn into chickens at a different rate than chicken turns into eggs. This is proof either that A) time must go forwards, or B) my proof has a logic flaw in it.
Scale the system up, and they're just little birds that fly in boring ways, don't time travel, don't fly faster than light,...
Ummm...yes but the reason for that is because the fundamental physics governing the particles of which the starlings are made up prevent time travel and moving faster than light (which are actually one and the same). Assuming you are building a model out of simple, plastic lego bricks then regardless of what you are building we know that it will not be a conductor of electricity because the bricks you are building it from are all plastic insulators. Studying the fundamental physics of a system lets you know what is possible.
For example we know that there is a fundamental arrow of time despite the fact that at an everyday scale this is completely obscured by entropy. You could study all the flocks of starlings you like but it would be impossible to show that you have time reversal violations in it...and yet since the particles in that system are subject to the weak force we know that at some incredibly tiny, insignificant level it is there.
Because GP (and some physicist) think that if particle physics correctly describes matter/anti-matter....
Whoa there it is a LOT simpler than that. If you have a system in state A and it changes into state B then your process is A-->B. If you reverse time then the process you have is B-->A. Now if both these states have identical entropy there are no phase space arguments to favour one state over the other and so both processes (A-->B and B-->A) should be equally likely if the laws of physics are the same with regard to the direction of time.
What these experiments showed are that for some systems A-->B is more likely than B-->A and so the laws of physics define an arrow of time. If time were reversed then A-->B would become less likely than B-->A which is how you could detect it. It's the temporal equivalent of looking in a mirror. If you have a perfect left-right symmetry you cannot tell wether the image you are looking at is the real object or the reflection. However if the object is not left-right symmetric it is easy to know which image you are seeing.
So it does prove that there is an arrow of time. Perhaps you ought to spend a little time understanding the physics before you start applying simple logic: it tends to lead to more accurate conclusions.
The article is wrong when it says that the laws of physics work the same going forwards or backwards in time. They do not and there is data to prove it. So the 'arrow of time' does not need any entropy to define it - it is baked into fundamental particle physics.
Pro tip: "afternoon" means before sunset, by definition.
Clearly you are not a pro at English and should not be giving tips. 'Afternoon' means, quite literally, after noon. Evening is usually taken as roughly from 6pm to ~10-11pm. Those living further north in the arctic circle still have a morning, afternoon and evening even if the sun does not rise at all.
gee I hope the third rail contacts on the electrical train I road to work don't hear you
If you 'road' your train then wearing down your third rail is not really an issue...the screaming pedestrians and motorists trying to get our of your way might be a bigger problem though.
a homeowner can buy a device called a tracker that will pivot them
For those of us up in Canada or Northern Europe you need to mount the pannels on a vehicle which heads a long way south or west trailing a cable if they are going to be pointing at the sun in the late afternoon since the sun sets here around 15:30-16:00 this time of year. Simply pivoting or pointing west is just not going to cut it.
Unfortunately, while there are many issues with ROOT, it is incredibly fast at I/O and has lots of features which do what we need (if you can navigate past the bugs, memory leaks and dodgy documentation). One way to do help with this is to use the Python interface so many of us use the Python interface as a shield from the full horror of ROOT. The other alternative is to write compiled C++ code which gives you the complete C++ functionality but still leaves you with the minefield of linking to ROOT. To give an example of how bad this can be a few years ago they had a bug which made you code dependent on the comments i.e. by adding a comment line the code generated a duplicate symbol error when linked. After a day of tracking this down to a pre-processor macro I was told by the root development team that they already knew about this bug but could not fix it...that was also the day I switched to using the Python interface!
It's probably just more leverage to encourage people not to drive drunk.
Agreed but they had better not make any mistakes and accuse someone who does not subsequently get convicted. While it is hard to see how someone arrested for drunk driving would be not convicted they do have a history of mistakes like this. A few years ago they busted an online child pornography ring and then went around and named people whose credit cards were used without stopping to think that some of those cards were stolen and used fraudulently.
I'm all in favour of doing what we can to stop drunk driving but deliberately naming and shaming people before they have a conviction is dangerous at best and just plain wrong if those people are not found guilty.