The Cosmological Invariant Set Postulate is a proposed law of physics defined on the cosmological scale, with significant implications for the microscale. It suggests that cosmological states of physical reality belong to a non-computable fractal state-space geometry I, invariant under the action of subordinate deterministic causal dynamics. This postulate is motivated by nonlinear dynamical systems theory and black-hole thermodynamics, and it aims to provide a new framework for understanding quantum physics and the role of gravity.
The postulate suggests that attempts to formulate unified theories of physics within a conventional quantum-theoretic framework are misguided, and that a successful quantum theory of gravity should unify the causal non-Euclidean geometry of space-time with the atemporal fractal geometry of state space. The task is not to make sense of the quantum axioms by adding more structure or definitions, but to start afresh with new principles derived from deep physical principles.
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