Adelic-sector conjecture for the zeta eigenvalues

Let $\lambda_n=\gamma_n/(2\pi)$ denote the zeta eigenvalues, namely the imaginary parts $\gamma_n$ of the nontrivial Riemann zeta zeros normalized by $2\pi$. The trivial zeros are associated with the infinite prime Euler factor, while the nontrivial zeros are associated with the complete zeta function.

Adelic-sector conjecture. The zeta eigenvalues are adelic in nature, corresponding to prime numbers and their adelic sectors, while the trivial zeros correspond to the infinite prime Euler factor.

This proposes a prime-by-prime, adelic interpretation of the Riemann spectrum and an analogue of the local factorization of adelic zeta integrals. The source gives this as a working hypothesis and does not provide a resolution.