schrodinger's cat is dead

[CPL.Luke]

alright so I have a t-shirt that says on the front "shrodinger's cat is dead", then on the back it says "schrodinger's cat is not dead". Mildly clever and good for a moments laugh but it gave me the idea for anouther t-shirt that would read on the front

 

"schrodinger's cat is dead"

 

then on the back

 

"no, schrodinger's cat really is dead"

 

then would follow a long and extensive proof saying that schrodinger's cat is dead. In order to make it so that schrodinger's cat is going to be dead I'm altering the thought experiment so that every second a random number generator spits out a one or a two, if its a one then the toxic gas isn't released and the cat stays alive, if its a two then the gas is released and the cat dies.

 

now since the probability of scoring a series of consecutive ones for an arbitrarily long period of time is given by

 

(1/2)^t

 

the probability that schrodinger's cat is dead would be given by

 

1-(1/2)^t

 

given the limit of t to infinity you can see that the probability that schrodinger's cat is dead tends to 1.

 

My problem is that this is really simple and not quite fitting of a physics t-shirt. So I want to know if anybody has a far more complex looking proof that would say the same thing, I would hope to really get into the quantum stuff but I don't know if it can really be applied. Now as we all know the key to making a good math/physics t-shirt is to have it be easily explainable but very complex looking. SO a few greek letters and integral signs help a great deal.

[bascule]

Might I suggest... a shirt that says on the front:

 

"Schrodinger's Cat is dead"

 

And on the back:

 

"We at it at Wei Chung's Chinese resturaunt"

[[Tycho?]]

Wait, so you're saying the cat is really dead, but your changing the experiment to make that so. How is that clever?

[CPL.Luke]

its not really that much of a change, because whenever you here the thought experiment laid out it involves a random number generator, or something similar to that. I just defined a time interval for the number generator. And the result would be true regardless of the interval for the number generator as were talking about infinity here.

 

bascule: I like it