On the quantum mechanics of finite-mass observers
Quantum Physics
2026-03-05 v2 General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Abstract
The principle of relativity is extended to accommodate finite-mass observers with quantum properties by introducing two operational requirements: (i) equivalence of observers at the level of transition amplitudes, and (ii) the impossibility for an observer to access its own quantum state of motion. This results in a fully relative formulation of quantum mechanics with observer-dependent Hilbert spaces, relative quantization rules, and novel uncertainty relations, while also elucidating some interpretational issues present in the current formulation of quantum mechanics and giving experimentally testable signatures.
Cite
@article{arxiv.2602.15134,
title = {On the quantum mechanics of finite-mass observers},
author = {Juanca Carrasco-Martinez},
journal= {arXiv preprint arXiv:2602.15134},
year = {2026}
}
Comments
Title updated and figures added