Zero Readouts and Complex Structure

This paper examines the physical structure represented by the imaginary unit when measured outputs are real. It distinguishes a zero-valued observation from an absent state using observation fibers, signed balance, and interaction-dependent readout. A real scalar oscillation is shown to require a two-dimensional minimal first-order realization whose positive-metric-preserving oriented exchange is generated by an operator satisfying J2=−IJ2=−I. Finite-time observability recovers the transverse quadrature hidden from an instantaneous scalar readout. Applications to mechanics, circuits, electromagnetism, transport, pattern formation, and quantum relative phase are discussed. The conclusions are conditional and do not identify the imaginary unit with a universal hidden substance or literal +1/−1+1/−1 constituents.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-22
DOI
https://doi.org/10.5281/zenodo.21493359
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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preprint

Zero Readouts and Complex Structure

Yoshida
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
preprint

Zero Readouts and Complex Structure

Yoshida
preprint en

Abstract

This paper examines the physical structure represented by the imaginary unit when measured outputs are real. It distinguishes a zero-valued observation from an absent state using observation fibers, signed balance, and interaction-dependent readout. A real scalar oscillation is shown to require a two-dimensional minimal first-order realization whose positive-metric-preserving oriented exchange is generated by an operator satisfying J2=−IJ2=−I. Finite-time observability recovers the transverse quadrature hidden from an instantaneous scalar readout. Applications to mechanics, circuits, electromagnetism, transport, pattern formation, and quantum relative phase are discussed. The conclusions are conditional and do not identify the imaginary unit with a universal hidden substance or literal +1/−1+1/−1 constituents.

Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
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Zero Readouts and Complex Structure — Yoshida · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS