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| Typical start of a jigsaw puzzle with edge pieces whose waveforms have not yet collapsed, and are therefore missing until they do so. |
I'm not going to claim that I understand quantum theory. Indeed, I think that if you find someone who claims they do, they're liars. What little I do know can be summed up in the uncertainty principle, mainly that before you make an observation, you cannot say for certain what the state of a subatomic particle is in. Only once an "observation" is made does the "wave form" collapse and the particle can be described. It's the old cat in the box thought experiment of Schrodinger. You can't predict if the cat is alive or dead in the box, until you open the box. This quantum action is thought to happen on a subatomic level. But I have found evidence that the quantum uncertainty principle operates at a far higher level in jigsaw puzzle boxes. At the level of classical, real world, physics.
This past Christmas our daughter gave us one of those jigsaw boards that you use to put jigsaw puzzles together on. You know, something that allows you to move a puzzle in progress else where, should you actually happen to need your kitchen or dining room table to eat on. So, with this device in hand as well as some old jigsaw puzzles on hand, some dating back to the 1940's, and a long winter ahead of me, I took up jigsaw puzzling as a better time-wasting alternative to playing mahjong tiles or sudoku, or some such game on my tablet.
I should first mention that I'm not a patient enough fellow to attempt 1000 piece puzzles. I know my limits, which is 500 pieces. Still, I have found this uncertainty principle observable in 500 piece puzzles, but not, however, in 100 piece puzzles.
My experiment is simple. I empty the box of pieces out on the board, and carefully separate out by hand, in six to ten piece batches, the edge pieces from the interior pieces. This is a simple operation; edge pieces have a flat side and only five prongs instead of six. If all the puzzle pieces in the box have had their wave form collapsed, then all the edge pieces would be easily identified and sorted out. However, this is never the case. I find that there are always six to a dozen edge pieces missing when I try to assemble the edge of the puzzle.
Clearly I could not have missed identifying something as easily identifiable as edge pieces. One only needs to look at an edge piece, and it's obviously an edge piece, as described above. I can assure you they are impossible to miss. So, as Sherlock Holmes once observed, when you have eliminated the impossible (missing edge pieces in the sort) what ever remains, no matter how improbable, must be the truth. And the truth is, that however improbable, it seems that the missing edge pieces were not yet present in the box during my first sort.
This phenomena can best be explained by the theory that jigsaw pieces operate as a quantum-level particle/wave, and that opening the box operates as a observation and thus collapses them into the classical physics universe. But quantum theory is a statistical theory, i.e. it only predicts the outcome as a percentage of all possible outcomes. There is always a fraction of collapses that do not conform to how the vast majority shake out. In the case of pieces in a jigsaw puzzle box it seems that not all of the potential puzzle pieces collapse on opening the box and during this initial sorting process. However, evidence suggests that most do eventually collapse, most of the time, into edge pieces, their proper form in the hours and sometimes days that follow, showing up every now and again when I am looking for other pieces. I have, however, come across jigsaw puzzles where one or more pieces fail to materialize. But that's quantum mechanics for you.
But it is not only edge pieces that fail to collapse upon opening the box. Other pieces also fail to appear until long after the box has been emptied. I don't know how many hours I've spent looking for a particular piece of the puzzle, a piece so obvious that it would be impossible to overlook, if it existed when I was diligently looking for it, only to find it amongst the last dozen pieces left to fill in the puzzle. It seems impossible that it was present prior to my discovery of it.
Jigsaw pieces are very tricky things.
The scale of this uncertainty principle suggests that we're dealing with a significantly different quantum process, one that present day quantum theory has yet to discover, much less address. Therefore I feel it deserves further research, and funding.
An obvious next step to verify my theory would be to count the number of pieces during my initial sorting out of the edge pieces. This would definitely prove my theory, as I would postulate that the total number of pieces counted would fall short of the number of pieces printed on the box and only at some time later would all the pieces appear as their waveforms eventually collapse. However since I don't have a grad student to do this counting for me, that experiment must wait for the day I have one. And for the necessary funding, of course.







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