OT - Physics Question on Anti-Matter

[narf poit chez BOOM]

Er...No. All you've done is introduced an infinite 'ripple' as people move from room to room. You havn't made more room; you've simply...

...Look, this should explain it. Infinity is not a number. It can, however, be a ratio.

Suppose you have a thirty foot fence and an apple every six inches.

You therefore have 15 epples, thirty feet of fence and 1 apple per 6 inches of fence. 1/6.

Supposing then that an infinite being, for no particular reason, makes the fence inifinitly long and makes sure there's an apple every six inches.

You then have an infinite amount of apples, an infinite amount of fence and a ratio of 1/6 of apples and inches of fence.

Supposing, then, that the infinite being doubled the number of apples, again spacing them evenly. You then have 2/6 or 1/3 of apples and inches.

The ratio of rooms to people is 1/1.

Add in another infinity of people and the ratio of rooms to people is 1/2.

However, as there will *always be more rooms opening up, you've disguised that. However, that 'ripple' is going to go on to infinity - And there will always be one displaced person.

* Unless all this is done in no time at all.

[Suicide Junkie]

Everybody moves at the same time. No ripple, just a quick and simultaneous changing of location.

And yes, practical physical limitations have to be ignored. That's why it is a thought experiment and not a fantastic way to make an infinite amount of profit in just one day.

The best part of course, would be that even though the taxman would take an infinite amount of money, you'd still have an infintite amount left (unless the tax rate happens to be 100%).

[narf poit chez BOOM]

The thing you're ignoring is that, while there would always be a room opening up, the room the person is moving into is occupied. The best you could get is to always have someone in transit.

This, of course, may not hold true if action is taken by a being greater than infinite, which would be the only theoretical way to have everyone move at the same time.

[aegisx]

I think Red Dwarf says it all. There was an episode where Dave (who had been in chyo for millions of years) got a message from earth about his bank account. Apparently he has 13 cents or something in there when he left, it now accounts for pretty much all of the money due to the interest. However, he left a lightbulb on in his apartment, so his bill accounts of all of that. I think that is how it went

[douglas]

narf poit chez BOOM said:
The thing you're ignoring is that, while there would always be a room opening up, the room the person is moving into is occupied. The best you could get is to always have someone in transit.

That would be true if we were moving people one at a time, but we're not. The hotel's intercom brings the room change announcement to every room simultaneously, and each person moves himself, so all moves are accomplished all at once. When the manager tells everyone to move to the room with double their current room number, person 2 doesn't show up at room 4 and then have to wait for person 4 to leave, person 4 is already out. As is person 8, 16, 32, 64, 128, and so on down the line. Here's how it works at Hotel Infinity:

Step 1: Manager gets on the intercom and tells everyone to move to the room with double his current room number. The intercom relays this message to everyone simultaneously, so all infinity residents are notified in as little time as it takes to say the announcement once.
Step 2: All occupants pack up and move themselves and their belongings into the hall. Every room is now empty.
Step 3: Each occupant steps into the teleporter across the hall and gives "double my previous room number" as the destination. All even numbered rooms are now occupied, but the odd numbered rooms are still empty.

After these steps are completed, in the finite time required for a single person to change rooms, every previous resident has a new room, no one had to be tossed out, and everyone is finished moving into his or her new room. The Hotel contains exactly as many people as it did before, but now every odd numbered room is empty, giving enough room for the entire fraternity of infinite odd-numbered people to move in.

[narf poit chez BOOM]

Ok, double the room number is an infinitly decreasing fraction of the room ratio...

...Ending up equal to both infinity AND zero?

Dude, I think you just broke the universe.

[Suicide Junkie]

Ratios need to compare two things. Room vs what? ratio.

There is always one person per room. They are all full, and all have exactly one person in each.
That is true both before and after the frat boys get there.