Survey addresses connections between dual geometry and standard theory, revealing critical axiomatic distinctions.
Survey of the series Dual Geometry of Wavelength Space and Frequency Space (Papers 1-16). The series starts from one relation (nu*lambda=1), one constant (the zero point 1/2), and literally one bit (the asymmetric bit), plus two operating principles (configuration reading; the record principle). This survey is the first document of the series to address the connection to standard theory directly: the method is an item-verified correspondence dictionary plus the transport principle, not re-derivation. Main results: (1) the kinematic dictionary is filled, every entry machine-verified and published; (2) five items that standard theory installs as axioms — symmetrization, time, measurement, spacetime dimension, charge conservation — are theorems here; (3) the two unfilled entries are the measure and the action, and the survey dissects the incomplete connection points themselves (granularity of the measure problem; the action blocked by the derived status of time), arguing that the incomplete points are precisely where the two theories make different claims and observation can adjudicate. Includes an origin appendix answering the anticipated criticism 'is this not just complex numbers in disguise'. All sources are public with DOIs; the repository snapshot (10.5281/zenodo.20666114) makes the process auditable. Japanese and English full texts. This is not a proposal of new physics; no physical identification is made.
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Noriaki Kihara (2026) studied this question.
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