Complete 64-state quantum comparison and retained field evolution
Two contacts can agree as a comparison while changing the systems that carry them. For an explicit pair of eight-state systems, we derive a comparison identity on all 64 states: its squared difference depends only on the relative field phase. We construct a unitary event that retains both comparison outcomes and every earlier record. Exchange symmetry fixes a signed load within a stated affine class, and reciprocal weights give normal stationary sources on discrete field levels. On a continuous load, the same event has no normal stationary source when the waiting evolution preserves that load. A specified oscillator rotation changes the conclusion: a two-event energy bound yields a normal stationary source with finite energy. The complete event also imposes an exact work constraint. These results constrain the field evolution and work carrier needed to connect retained comparison to a physical interaction law.
Authors
- Washburn (ORCID: https://orcid.org/0009-0001-8868-7497)
Institutions
- University of Cologne (DE)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-09-13
- DOI
- https://doi.org/10.5281/zenodo.22732440
- Primary Topic
- Advanced Thermodynamics and Statistical Mechanics
- Type
- preprint