14 problems

Locally rigid observer conjecture. For all locally rigid observers, the angular velocity of the observer equals the negative of the angular velocity of the Foucault precession when…

Rigidity criterion for Foucault precession. The Foucault precession is meaningful if and only if the observer is locally rigid.

Foucault-precession angular-velocity conjecture. Whenever the Foucault precession makes sense for an observer, it is equal to the negative of the angular velocity of the observer.

Let special relativity and late classical kinematics be spacetime theories built on top of four-dimensional real space, $\mathbb{R}^4$. A non-relativistic classical concept is any…

In the relativistic communication model, two twins communicate throughout a journey, and transmission is subject to symmetric constraints for the two observers. Jarett–Cover conjec…

Abraham's mass–energy conjecture. The entire mass of an electron is due to its own electromagnetic energy, namely

Let ${{\mathsf{SPR}}}\xspace^+$ denote the behavioural formulation of the special principle of relativity, and let ${{\mathsf{SPR}_{{{\mathit{B}}}\xspace}}}\xspace$ denote the body…

Lie-group conjecture. Only in the limits of zero accelerations do the coordinate transformations between general physical frames of reference in flat spacetime form Lie groups, suc…

Let $d\ge2$. Write $\operatorname{Num}(\mathsf{Th})$ for the class of quantity structures of models of a theory $\mathsf{Th}$, and let $\mathsf{SpecRel}_d$ be the axiom system for…

Let $n$ be the spacetime dimension, let $\mathsf{SpecRel}$ be the theory of special relativity, and let $\mathsf{AxThExp^-}$ be the axiom expressing that inertial observers can mov…

Let $[0,1]$ be the interval of speeds from zero to the speed of light in units where the speed of light is $1$, and let a model of $\mathsf{SpecRel}$ be a relativistic spacetime mo…

Let $\{\Gamma^{\mu}\}$ be the fiducial vector coframe associated with the spinorial frame $\Xi_{u_{0}}$, and let $g(\Gamma^{0},\,)$ denote its timelike component. The existence of…

Higher-dimensional special-relativity conjecture. There is a natural generalization of $\textsf{SpecRel}$ for the case of $(3+3)$ dimensions in which faster-than-light motion is al…

The paper compares its preferred-frame scalar tachyonic quantum field theory with the approach of Ciborowski and Rembieliński, which also uses a preferred frame and a non-standard…