11 problems

Higher-order mass contribution conjecture. The higher-order contributions in the mass to the perturbed Green's functions should be of higher order on the light cone.

Objective-collapse conjecture. It takes objective physical collapse for an atom of spacetime to return a unique value.

Born's rule conjecture. The result of Proposition 3.1 of Finster (2013) should apply to pull back the spacetime observable of $\mathcal{U}$ to an observable on $B$.

Let $S^\vee_a(x,y)$ be the causal Green's operator of the Klein–Gordon equation with mass parameter $a=m^2$, and let $\tilde{s}^\vee(x,y)$ be a perturbed Dirac Green's operator wit…

Let $S_y$ and $S_x$ be the spin spaces at the endpoints of a curve, let $D_{x,y}$ be the spin connection of Theorem, and let $x_0=y,x_1,\ldots,x_N=x$ be the successive points used…

Let $P(x,y)$ be the unregularized kernel of the fermionic projector, written as … where $\slashed{p}=\gamma^j p_j$, $\Theta$ is the Heaviside function, and $k(x-y)$ is the Minkowsk…

Causal triviality conjecture. If the dimension $f$ of the Hilbert space is sufficiently small, then every minimizing measure should be causally trivial. This would reduce the struc…

In the causal action principle, let $\rho$ be a weighted counting measure with $m$ spacetime points on operators of fixed trace, normalized by … Here $n$ is the spin dimension and…

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

Continuum-limit conjecture. In the continuum limit, the linearized field equations yield the fundamental equations of contemporary physics, in particular the Dirac equation.

Spin-connection convergence conjecture. One might conjecture that