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The quantum labyrinth

Paul Halpern

Published Jan 1, 2017• 4 citations
OpenAlex

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The Quantum Labyrinth

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At the roots of quantum physics we find two “specular” principles: a principle of distinguishability, which arranges the “uncertainty” of quantum \nmeasurement, and a principle of continuity, which drives the evolution of quantum systems. The vital link between the two principles was sharply \ncaptured by Leibniz. In his Theodicy, the issue of continuity (and indivisibles) is presented as one of “the two famous labyrinths” in which our \nreason can lose its way; the other concerns “the great question of freedom and necessity.” According to Leibniz, only geometry can provide a \nthread for the labyrinth of continuity. However, escaping from the labyrinth of Fate, Fortune, and Freedom requires a different perspective on nature. Leibniz’s perspective on the mechanism of nature is significantly different from Descartes’ or Newton’s. It reveals notable affinities with the Chinese correlative thinking. Surprisingly, the rationale behind these affinities may find a coherent setting in quantum information.

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At the roots of quantum physics we find two “specular” principles: a principle of distinguishability, which arranges the “uncertainty” of quantum \nmeasurement, and a principle of continuity, which drives the evolution of quantum systems. The vital link between the two principles was sharply \ncaptured by Leibniz. In his Theodicy, the issue of continuity (and indivisibles) is presented as one of “the two famous labyrinths” in which our \nreason can lose its way; the other concerns “the great question of freedom and necessity.” According to Leibniz, only geometry can provide a \nthread for the labyrinth of continuity. However, escaping from the labyrinth of Fate, Fortune, and Freedom requires a different perspective on nature. Leibniz’s perspective on the mechanism of nature is significantly different from Descartes’ or Newton’s. It reveals notable affinities with the Chinese correlative thinking. Surprisingly, the rationale behind these affinities may find a coherent setting in quantum information.