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Quantum mechanics and general relativity share an equivalence with respect to the holographic principle. Large-scale fluctuations predicted by the holographic principle may be derived from the quantum mechanics of spin. As holographic theories, quantum mechanics and general relativity in quaternionic bases are formally similar. Gravitation may not be properly “quantized” and unified with quantum fields in the usual manner, but rather gravitation and Dirac quantum fields as two separate spinor fields that form pairs which define octonions.
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Crowell, L., Betts, R. Spacetime Holography and the HOPF Fibration. Found Phys Lett 18, 183–193 (2005). https://doi.org/10.1007/s10702-005-3961-7
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DOI: https://doi.org/10.1007/s10702-005-3961-7