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Quantum theories of consciousness are linked to panpsychism because the Quantum Theory of Consciousness (QTOC) provides a physical and mathematical framework for the panpsychist view [1], suggesting that all matter, from subatomic particles to the universe, possesses consciousness [2].

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Sources
Quantum Theory of Consciousness - Scirp.org. scirp.org Gangsha Zhi, Rulin Xiu · Scientific Research Publishing 2 facts
claimQuantum Theory of Consciousness (QTOC) provides a physics foundation and mathematical formulation for studying panpsychism and various theories of consciousness, including integrated information theory, general resonance theory, field models, global workspace theory, and the theory of consciousness as memory and attention.
claimThe Quantum Theory of Consciousness (QTOC) supports panpsychism, indicating that everything—including electrons, atoms, molecules, cells, organs, trees, rivers, mountains, Earth, moon, sun, stars, galaxies, and the universe as a whole—can possess consciousness to a certain extent because they all contain, receive, and process information.
Panpsychism - Stanford Encyclopedia of Philosophy plato.stanford.edu William Seager, Sean Allen-Hermanson · Stanford Encyclopedia of Philosophy 1 fact
referenceThe Stanford Encyclopedia of Philosophy entry on Panpsychism lists related entries including George Berkeley, consciousness, René Descartes, dualism, emergent properties, epiphenomenalism, Charles Hartshorne, William James, Gottfried Wilhelm Leibniz, mereology, monism, neutral monism, pantheism, physicalism, qualia, quantum theory and consciousness, Josiah Royce, Baruch Spinoza, Alfred North Whitehead, and Wilhelm Maximilian Wundt.