Establish the status of the exponential accelerator-cost scaling law

Determine whether the proposed exponential relation between accelerator cost and collision energy, $\$(E)=\$_0 e^{E/E_0}$, is a valid scaling law for high-energy-physics facilities.

Background

The paper introduces an exponential cost model to express the possibility that the financial cost of particle accelerators rises rapidly with collision energy. The proposed law is motivated by the increasing costs of construction, maintenance, electricity, and personnel.

The relation is explicitly presented as a conjecture rather than an established empirical law. Establishing or refuting it would clarify whether economic constraints fundamentally limit access to higher-energy experimental probes of quantum gravity.