Skip to content

Schrödinger's Cache Mystery Cache

Hidden : 1/5/2008
Difficulty:
4 out of 5
Terrain:
3.5 out of 5

Size: Size:   regular (regular)

Join now to view geocache location details. It's free!

Watch

How Geocaching Works

Please note Use of geocaching.com services is subject to the terms and conditions in our disclaimer.

Geocache Description:

An application of the uncertainty principle to geocaching, created in honor of wsgaskins' 1 K.

The cache is certainly not at the posted coordinates.

When I was out looking for a place to hide my cache for wsgaskins' 1 K series, I stumbled on another kind of cache: a box of supplies labeled "Torchwood." As someone who watches BBC America, I understood this meant alien technology. One particular device interested me: one with a tag on it reading "The Uncertainty Cannon." It looked rather like a mortar, but with a strange knob on it labeled "h." Fortunately, the good people of Torchwood had added a human interface for this device, in English, and I was able to figure out that this was an instrument for changing the value of Planck's constant for whatever was placed inside the Cannon.
 
Altering one of the fundamental constants that govern our universe?! Naturally, I decided to test the device, using my cache container.

When I stuck my ammo box down the firing tube, the device registered its rest mass as 2.28 kg. I set a nearby target for my ground zero: N 35 59.582, W 79 03.010 - the coordinates which I give above for this cache. The device estimated my box would reach its destination at a speed of 108 km/hr.

Now it was time to spin the "h" dial and pump up the volume on Planck's constant. I turned that knob until I reached h=13,954 Joule-seconds. (No, I didn't forget some negative exponentiation there.) Then, I grinned an evil grin and punched the "activate" button.

Immediately, I was enveloped in a kind of ammo can cloud, like a mist the color of my box. I panicked, but had the presence of mind to notice an "h reset" button, which I pushed. The cloud disappeared. I went to my ground zero, but I couldn't find my cache. But then I saw something else… or rather, someone else.

"Who are you?" I asked.

"Captain Jack Harkness, Torchwood. I'm investigating unauthorized use of alien technology."

We eventually got things sorted out, and he agreed not to arrest me. As for my ammo box, he explained that the reset button was supposed to clean up the "quantum cloud" and leave the object at a more defined location: "But for some reason, either the wave function doesn't collapse quite right or the alternate universes get crossed - depending on whether you go with the Copenhagen or Oxford interpretations of quantum mechanics - I'm an Oxford man, myself… but, whatever the reason, whenever we use this thing, we don't get one at the center, but two at the extremes. It still averages out, of course, but it effectively doubles whatever it starts with. The ones that get left behind are right at the edge of the probability sphere: In other words, they're separated by exactly the object's wavelength, computed the same way you would if it were an elementary particle in normal quantum physics."

"Is there any way to find them?" I asked.

"No problem. Your ground zero is right in the middle of the wavelength, naturally, so once you calculate what that wavelength is, you just need a bearing. The two objects and the ground zero always form a straight line along the Earth's surface."

I asked him why that was, and he said something glib about "ley lines" that didn't seem very probable or scientific, but sure enough, it turned out to be true. Jack whipped out his "ley line" sensor and gave me the grid north bearing (azimuth) from ground zero to one of the two doppelganger caches. Here's what I'll tell you about it: Just add up the values of the individual digits of the wavelength (measured in whole meters), multiple the result by 7.5, and you'll have that bearing. Example: If the wavelength was 987 meters, the bearing to one of the containers would be (9+8+7)*7.5 = 180 degrees.

"So, now you have two caches for the price of one," Jack told me.

Well, not quite. You see, I'd also used another piece of alien technology in my experiment. This was called "Schrödinger's Cache." It was a device that you placed in a container, designed to destroy, or not destroy, the contents with a 50/50 probability - something involving a highly radioactive isotope of Tellurium, a radiation detector, a timer, and some alien disintegration device. (It all depended on whether or not a single Tellurium atom decayed within a certain period, set exactly equal to the isotope's half-life.) When we got to the first box we visited, Jack told me, "Now you can finish collapsing that wave function… or, if you're an Oxford-model guy like me, you can choose your alternate universe. Open the box."

Well, I won't tell you what I found then, but in the end, it turned out that one box had been vaporized inside, while the other box was fine. Only the box with unvaporized contents and logbook can be logged. (I've left a note expressing my regrets in the other box.) You've got a 50/50 chance of getting it right the first time.

As for Captain Jack Harkness from Torchwood, he came away disturbed that both possibilities had survived my experiment. He got angry, said I'd opened "a rift in space-time" in these woods, and told me there was only one thing that might save us all: If we keep collapsing the wave function, or selecting our alternate universe, by solving this cache again and again. "Couldn't I just give people the solution?" "No," he insisted, "Conscious awareness is essential to the process." (Which is why, just to be safe, I'm not even telling you the bearing, except as a function of the wavelength.)

After delivering his injunction, Jack disappeared, taking all his alien technology with him.

At least he left my two doppelganger caches - that is, one dead cache and one live cache. Derive the coordinates, flip a coin, and then hit the trail. I've left them pretty much where I found them (within my GPSr's margin of error) - just moved them a tiny bit to hide them. Good luck!

Oh, and just in case anything slips through that rift Jack warned me about, keep your eye out and be careful when roaming around this area. You never know what you might find.

P.S. Also keep your eye out for a gascan....you'll need the information to solve The Gaskin 1000 (aka wsgaskins 1K Challenge Cache).

Finally, please note that this cache is located on land belonging to the Triangle Land Conservancy.

Please enjoy this place and treat it with respect. For more information on the TLC, refer to: http://www.triangleland.org. Thanks!

Additional Hints (Decrypt)

[Puzzle:] V qvqa'g punatr "p," fb lbh pna fnsryl vtaber gur Yberagm snpgbe. Gung xrrcf vg fvzcyr. [Cache:] Nybat gur fvqr bs n snyyra gerr... [OR] ...Ol na rkcbfrq ebbgonyy.

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)