Quantum Tic-Tac-Toe

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QT3 & SCME Paper15.pdf

This paper was presented in July 2002, at the 38th Joint Propulsion Conference sponsored by the American Institute of Aeronautics and Astronautics (AIAA), the American Society of Mechanical Engineers (ASME), the Society of Automotive Engineers (SAE), and the American Society of Engineering Education (ASEE). Here is the abstract of the paper:
 

Two metaphors for quantum physics and nonlocality are presented, one in the form of a game, Quantum Tic-Tac-Toe, and the other as an extended version of Spooky-Coins & Magic Envelopes. Quantum Tic-Tac-Toe introduces the concept of quantum games as meta-rules on classical games, such that states in the quantum game imply the existence of multiple instances of classical games in simultaneous play. Further quantum mechanical implications of these rules will be discussed including a measurement mechanism, the correspondence principle, Everett’s Many Worlds Hypothesis, and spooky action at a distance. It also shows the consistency of backwards-in-time causality, an ascertainity principle, and the influence of both futures and pasts that never happened on the present. The Spooky-Coins & Magic-Envelopes metaphor shows how the two basic rules of quantum games (mixed states and quantum entanglement) can utilize spooky action at a distance to send information faster than light. Relativistic effects are introduced into the metaphor, which permit backwards in time signaling and temporal paradox. Although temporal paradox is not resolvable within the metaphor it appears to be so in reality. Possible implications of a paradigm shift from the current machine metaphor of reality to a game metaphor are briefly considered.

 

QT3-7 For Teachers.pdf

One of the reasons for creating Quantum Tic-Tac-Toe was to provide a teaching tool that could present the basic features of quantum physics without the distraction of advanced mathematics. This document is for teachers who are looking for material that can help them teach the principles of quantum physics to non-specialists. We are specifically targeting high school science courses, college philosophy courses and general science majors.



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