56 problems

Consider a classical deterministic system with loss of information, interpreted as dissipation, and impose suitable constraints and specific energy conditions. 't Hooft's conjectur…

Let $\delta$ and $\epsilon$ be functions producing arbitrary real-valued outputs, and write … Variant Task 2 accepts a pair when $|S-T|<c$ for a fixed constant $c$, rather than con…

Consider Deutsch's theorem concerning the derivation of Born's law from assumptions about quantum measurements and rational decision-making. The assumptions include functional inva…

Let unitary invariance and functional invariance be principles governing the quantum-mechanical proof of Born's law, and let Gleason's conclusion mean that the relevant probability…

Let ${\rvert E,b^\pm\rangle}={\rvert E^\pm\rangle}\in\Phi^\times_\mp$ be the Lippmann–Schwinger kets, and let the corresponding energy wave functions be … They are smooth functions…

Subquantum relativistic monadic-kinetics conjecture. A subquantum relativistic monadic kinetics could underlie a local quantum theory.

Interpretive conjecture. A viable interpretation of EQM may be that, while linear QM is the fundamental theory of simple systems, EQM describes relatively isolated systems in this…

Two-story space-time hypothesis. The weaker and more stochastic communication between the various lumps, beneath the macroscopic or quasiclassical surface structure, is responsible…

Let $\mathcal{R}$ be a pure spacetime state with marginals $\mathcal{R}_A$ and $\mathcal{R}_B$. Suppose that, in the diagonalizable case, it admits a decomposition … where…

Quantum mechanics exhibits intrinsic non-local randomness in particle motion, distinct from the local influence of measurement devices. A heat bath is an environment supplying ther…

Nelson's stochastic formulation derives the non-relativistic Schrödinger equation from stochastic dynamics, with observables represented by the resulting state function. Bell inequ…

De Bièvre's conjecture. The state $|\psi\rangle$ is Kirkwood–Dirac classical if and only if

Let a contextuality model be evaluated in the hierarchy of $n$-contextuality, where increasing $n$ permits inclusion of larger simplices in the underlying simplicial complex, and l…

State-extension conjecture. If state $\nu$ of $A$ satisfies PEP, then there is a state $\hat{\nu}$ of $A[\perp]$ such that

LEP--PEP converse conjecture. If PEP holds, then LEP holds:

Fixpoint conjecture. $A[\perp]^*$ coincides with iterating $A[\perp]$ to a fixpoint.

In the relativistic particle and FLRW settings, let the physical Hilbert space decompose into positive- and negative-frequency sectors, with the representation reducible so that on…

Dynamical-collapse conjecture. In the continuum limit, the theory of causal fermion systems gives rise to a dynamical collapse theory.

Let $|\Psi\rangle$ be a quantum state, let $\hat{P}$ be the operator associated with an experimental proposition, and let $v$ be the function assigning images to truth values. Valu…

Let $P$ be an experimental atomic proposition referring to a quantum system in a pure state. Let the cost of a computation be the time required to solve the relevant computational…

Universal entangleability conjecture. Any two non-classical GPTs are entangleable.

Extension conjecture. Every theory with a “well-behaved” thermodynamics can be extended to a sharp theory with purification.

Let a cellular automaton have a finite-dimensional state space whose discrete states define an ontological basis, and let its evolution be governed by a discrete Hamiltonian dynami…

A physical theory is said to have a well-behaved thermodynamics when its thermodynamic structure satisfies the relevant well-behavedness requirements. Subtheory conjecture. Every t…

Let $\mathfrak{A}$ be the physical observable algebra, let $\mathfrak{B}\subset\mathfrak{A}$ be any subfactor, and let $\alpha\in\operatorname{Aut}(\mathfrak{A})$. Define the corre…