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- W3212106919 abstract "This paper draws on a number of Roger Penrose's ideas—including the non-Hamiltonian phase-space flow of the Hawking Box, conformal cyclic cosmology, non-computability, and gravitationally induced quantum state reduction—in order to propose a radically unconventional approach to quantum gravity: Invariant Set Theory (IST). In IST, the fundamental laws of physics describe the geometry of the phase portrait of the universe as a whole: “quantum” process is associated with fine-scale fractal geometry, “gravitational” process with larger-scale heterogeneous geometry. With this, it becomes possible to explain the experimental violation of Bell inequalities without having to abandon key ingredients of general relativity: determinism and local causality. Ensembles in IST can be described by complex Hilbert states over a finite set ℂp of complex numbers, where p is a large finite integer. The quantum mechanics of finite-dimensional Hilbert spaces is emergent as a singular limit when p→∞. A small modification to the field equations of general relativity is proposed to make it consistent with IST." @default.
- W3212106919 created "2021-11-22" @default.
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- W3212106919 date "2021-11-05" @default.
- W3212106919 modified "2023-09-27" @default.
- W3212106919 title "Bell's theorem, non-computability and conformal cyclic cosmology: A top-down approach to quantum gravity" @default.
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- W3212106919 doi "https://doi.org/10.1116/5.0060680" @default.
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