Phosphorus Nuclear Spins as Qubits: Quantum Coherence Constraints in Fisher's Hypothesis — E8 Intelligence Research

Q: What does this research mean for the field?

Fisher's quantum cognition hypothesis relies on phosphorus nuclear spins acting as qubits, which is strictly constrained by the requirement for long coherence times (~10⁴–10⁵ s) and isolation from decoherence in a spin-1/2 system. Novelty: ClaimNovelty.INCREMENTAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

Andrew Stewart Caldin

doi:10.5281/zenodo.22105982

August 26, 2026Open Access

Phosphorus Nuclear Spins as Qubits: Quantum Coherence Constraints in Fisher's Hypothesis — E8 Intelligence Research

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Key Points

To evaluate the biophysical feasibility and coherence time constraints of phosphorus-31 nuclear spins acting as qubits in Fisher's quantum cognition hypothesis.
Formulated the spin Hamiltonian for a phosphorus nucleus in a phosphate ion under a magnetic field, accounting for nuclear gyromagnetic ratio and hyperfine coupling tensors.
Modeled the transverse decoherence rate across phonon modes in a hydrated biological environment as a function of temperature and coupling strength.
Assessed theoretical scaling constraints by comparing required entanglement time windows (~10⁻¹ s) and phosphorus density (~10⁸ atoms per neuron) against thermal fluctuation timescales.
Identified that Fisher's quantum cognition hypothesis requires exceptionally long nuclear coherence times of 10⁴–10⁵ s for phosphorus-31 spin-1/2 systems.
Demonstrated that thermal phonon fluctuations and hyperfine couplings in hydrated cellular environments pose severe theoretical limits on sustaining isolated quantum coherence.

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Implication

Theoretical analysis evaluates quantum coherence constraints on phosphorus nuclear spins in neural environments, highlighting severe decoherence challenges to biological quantum processing.

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Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a91468ad15324a1df3aa35a https://doi.org/10.5281/zenodo.22105982

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Phosphorus Nuclear Spins as Qubits: Quantum Coherence Constraints in Fisher's Hypothesis — E8 Intelligence Research

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Phosphorus Nuclear Spins as Qubits: Quantum Coherence Constraints in Fisher's Hypothesis — E8 Intelligence Research

Key Points

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Cite This Study

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