Uncertainty Principle
(Published on 18. May 2024, 16:04 by Tobias Brixner)
Puzzle link: Play on CTC SudokuPad.
Rules: Normal Sudoku rules apply. In a cage, digits sum to a total and must not repeat. Each pair of orthogonally touching cages has an identical product of totals.
Background (not required for solving the puzzle): Heisenberg's uncertainty principle (also known as the indeterminacy principle) states that two complementary properties of a quantum mechanical system cannot have sharply defined values at the same time. The product of their "uncertainty" is at least ℏ/2 with Planck's constant h = 2πℏ. If the minimum uncertainty of one quantity decreases, that of the other must increase. For example, the momentum of a particle (mass times velocity) will be less precisely determined if its position is more precisely determined. In the puzzle, the case of minimum uncertainty is realized for both quantities, so that the equal sign applies, and if one cage has a smaller total, its neighbor must have a larger total. The numerical value of "Planck's constant" in the puzzle must be determined during the solve.
Solution code: All digits of row 3 (from left to right) followed by column 7 (from top to bottom) without spaces.
Comments
on 20. August 2024, 20:44 by Bankey
The first attempt got messed up in uncertainties but managed to decipher the Planck's Constant the second time. Fun puzzle. Thanks, @ Tobias Brixner :).
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That's great, thank you! - TB
on 20. May 2024, 15:55 by sanabas
@tobias brixner thanks for the recommendation to do https://logic-masters.de/Raetselportal/Raetsel/zeigen.php?id=000CNQ
Just finished it, and it was very, very good.
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Thank you! Happy for anyone attempting that one. - TB
on 19. May 2024, 21:12 by henrypijames
Really tough break-in, but the rest is smooth. Initially looks like 4-5, in the end just 3 difficulty for me.
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Thank you for playing and commenting! - TB
on 19. May 2024, 20:06 by SudokuHero
Took me a while to spot what to do, but it flowed after that.
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Thank you so much for your time and comment. Highly appreciated! - TB
on 19. May 2024, 00:50 by sanabas
Good fun, agree it is fairly easy.
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Thanks a lot for playing! - TB
on 18. May 2024, 20:18 by HatLife
Fun puzzle! I enjoyed placing the cage sums. It wasn't as difficult as I expected
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Glad you liked it! The initial difficulty rating was suggested by a tester. - TB
