Logic Masters Deutschland e.V.

An unknown quantum physicist has captured tantalizing experimental evidence for the illusive strings from the String Theory. The preliminary results have appeared mysteriously on your desk, and they show particles and strings in quantum superpositional states. If you can accurately predict the collapse of those superpositions and extract their properties… well, let's not get ahead of ourselves.

Many thanks to @henrypijames for testing, feedback on rules, name inspiration, and theming.

Rules:

Normal Sudoku: Place the digits 1 to 9 in every row, column, and 3x3 box.

Particles—XV and Kropki Superpositions: Each diamond represents either an X, V, black dot, or white dot such that:

• Digits connected by an X sum to 10
• Digits connected by a V sum to 5
• Digits connected by a black dot have a ratio of 2:1
• Digits connected by a white dot are consecutive

Strings—Renban and Whispers Superpositions: Each line represents either a Renban or German Whispers line such that:

• Digits on a Renban line form a consecutive set in any order
• Adjacent digits on a German Whispers line differ by 5 or more

Box Exclusivity: Within each 3x3 box, different diamonds and lines must represent different clue types.

• Note: if a pair of digits can be connected by two different clue types, a diamond between them may represent either one, allowing for another diamond in the same box to represent the other. For example, 1♢2♢4 is allowed as it may represent 1○2●4, but 1♢2♢4♢5 is not allowed as it has no valid, non-repeating representation.

Example: Here is an example showing how particles and strings might represent clues. Note that this is not an actual puzzle, and alternate representations may exist.

Solve online:

• SudokuPad: Purple clues / Gray clues
• F-Puzzles: Purple clues / Gray clues

Alas, a final bit of quantum superposition remains undetermined and indeterminable—thus is the weird and wonderful nature of quantum physics.