Beeri Research, directed by Ido Beeri, studies structural limits in the foundations of quantum mechanics using standard functional analysis and spectral graph theory.
The current program examines the cost of exact spatial localization. Under a finite-form-energy postulate, a sharp truncation across a nonzero boundary trace leaves the H1 form domain. Separately, a nontrivial scalar field cannot sustain a fixed open void under free evolution, a real bounded time-independent scalar potential, or the standard finite-nucleus Coulomb Hamiltonian. Photonic extensions require an explicit bridge to the covered scalar Schrödinger model; no such bridge is supplied in that work. No ad hoc collapse mechanism or hidden variable is introduced.
A complementary line asks how much a qubit coupled at one site can establish about the bath around it. In finite harmonic graph baths, the local spectral measure determines the complete one-port dephasing record but need not determine the underlying graph. The same analysis separates finite-volume recurrence from thermodynamic-limit decoherence and tracks what remains visible in fixed finite fragments.
Recent work compares boundary-disagreement costs on finite unitary chains: a slack Dirichlet action yields the quadratic Born form, the rigid action follows an exact root-fidelity law, and the clamped ground energy follows that law only to leading order in the weak-clamp regime. The physical selection of the slack boundary condition remains open.
Publications
Beeri, I. (2026). The Cost of Exactness in Three-Dimensional Wavefunction Realism. Zenodo preprint. doi:10.5281/zenodo.20836306
Beeri, I. (2026). The Limits of Local Records in Quantum Dephasing. Zenodo preprint. doi:10.5281/zenodo.20836412
Beeri, I. (2026). Born Weights from Minimal Rewiring: An Exact Deficit Law for Constrained Chains. Zenodo preprint. doi:10.5281/zenodo.21725831
Contact
Ido Beeri
Principal Investigator
ORCID: 0009-0002-7061-9979
Member, American Physical Society (APS DQI)
Member, Israel Physical Society (IPS)
ido@beeri-research.org