- Is Quantum Mechanics Tried, True, Wildly Successful, and Wrong? by Antony Valentini reviews the early history of quantum mechanics and argues the case for revisiting the de-Broglie Bohm pilot-wave theory (see also de Broglie-Bohm interpretation of quantum theory). This is reprised in Cosmological Data Hint at a Level of Physics Underlying Quantum Mechanics, which references Mechanism for the suppression of quantum noise at large scales on expanding space.
- The Invariant Set Postulate: A New Geometric Framework for the Foundations of Quantum Theory and the Role Played by Gravity by Tim Palmer describes the Invariant Set Postulate, which is cited by Penrose and Brown.
My colleague Kevin Judd reviewed a draft of Palmer's paper and wrote to me as follows:
My main criticism is that [Palmer] stresses this hypothesis that reality must live on the invariant set, but I see no reason for requiring this. If phase space volumes are shrinking then any initial state asymptotically approaches the invariant set I. After sufficient time, the evolution and properties of almost all states are essentially indistinguishable from those in I. Unless your observation machines are extremely good, one cannot tell. The characteristics of I would appear to dominate the universe regardless of what the initial condition is.