Your Holiness, Pope Leo XIV,

Your universal call for truth, declared in your words, “Truth must be spoken—even with blunt language. No ambiguity. No compromise. Just clarity.”(\(\mathbb{ATradCatholic}\)), inspires this appeal. As a mathematician and pontiff, you are uniquely positioned to confront a grave scientific error: Einstein’s relativity, presented in his 1905 paper, On the Electrodynamics of Moving Bodies. This theory is an absurdity due to an internal contradiction, rendering it incapable of empirical confirmation and a travesty that must be removed from science and society.

In §10 of the 1905 paper, Einstein presents the equation for an electron at rest in system K: \begin{equation}\label{atrestinK} \frac{d^2 x}{dt^2} = \frac{\epsilon}{m} X, \end{equation} where \(\epsilon\) is the electron’s charge, \(m\) its mass, and X the electric field in K. The same electron is also at rest in system k, for which Einstein presents the equation, \begin{equation}\label{atrestink} \frac{d^2 \xi}{d\tau^2} = \frac{\epsilon}{m} X', \end{equation} despite the fact that, for its part, k moves at velocity \(v \ne 0\) relative to K, where \(X = X'\) is the electric field in k.

Notably, velocity \(v\) does not affect either equation in any way, shape or form. Eq.(\ref{atrestink}) is obtained from eq.(\ref{atrestinK}) via the foundational Principle of Relativity (aka the First Postulate of the Theory of Relativity, called here just relativity), which mandates that the physical laws are not affected across inertial frames (cf. §2, point 1., of the cited 1905 paper), despite k moving at velocity \(v \ne 0\) relative to K. In other words, when k and K move uniformly relative to each other, there is no other way for eq.(\ref{atrestink}) to correspond to any other equation in K than eq.(\ref{atrestinK})—the relation \(\frac{d^2 x}{dt^2} = \frac{\epsilon}{m} X \Longleftrightarrow \frac{d^2 \xi}{d\tau^2} = \frac{\epsilon}{m} X'\), establishes the equivalence of these equations for the same electron, despite \(k\)’s motion.

Consequently, it is impossible to claim, in the same breath, a different correspondence between the equation \(\frac{d^2 \xi}{d\tau^2} = \frac{\epsilon}{m} X'\) in k and an equation in K. For example, it is impossible to claim the equivalence \(\frac{d^2 \xi}{d\tau^2} = \frac{\epsilon}{m} X' \Longleftrightarrow \frac{d^2 x}{dt^2} = \frac{\epsilon}{m \beta^3} X\), where \(\beta = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}}\), justifying it by the electron’s motion at \(v \neq 0\) in \(K\), since eq.(\ref{atrestink}) and eq.(\ref{atrestinK}) also refer to the same electron moving at \(v \neq 0\) in \(K\). Such a claim, namely, insisting on the validity of \(\frac{d^2 \xi}{d\tau^2} = \frac{\epsilon}{m} X' \Longleftrightarrow \frac{d^2 x}{dt^2} = \frac{\epsilon}{m \beta^3} X\), comprises an internal contradiction, since the Principle of Relativity recognizes only the first pair, \(\frac{d^2 x}{dt^2} = \frac{\epsilon}{m} X \Longleftrightarrow \frac{d^2 \xi}{d\tau^2} = \frac{\epsilon}{m} X'\), invalidating the relativistic derivation \(\frac{d^2 \xi}{d\tau^2} = \frac{\epsilon}{m} X' \Longleftrightarrow \frac{d^2 x}{dt^2} = \frac{\epsilon}{m \beta^3} X\) that introduces \(\beta^3\). Relativity is thus a non sequitur, incapable of producing consistent predictions.

Claims of empirical confirmations, like time dilation, are misattributions, since an absurd theory cannot yield valid outcomes, just as \(1\) cannot equal \(2\). Given this unequivocal argument, choosing to retain relativity would mean choosing delusion over truth. Your mathematical acumen, honed at Villanova University, equips you to discern this fallacy. Your mission to uphold truth in all domains demands action. Relativity’s persistence perpetuates an erroneous framework, misleading science.

I urge you to proclaim that relativity, due to its mathematical absurdity, must be excised from science and society. The Church, which is known to have attempted reconciling faith and reason through figures like Lemaître, can lead this correction, ensuring scientific clarity.

With respect,