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2025
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| Online Access: | https://doi.org/10.5281/zenodo.15420685 |
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| _version_ | 1866902285584433152 |
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| author | Washburn, Jonathan |
| author_facet | Washburn, Jonathan |
| contents | <p>Recognition Science (RS) rests on two axioms: a universal cost functional J(x) = 1/2 x+x^(-1) and an eight-tick ledger-neutrality rule that limits each spacetime point to borrowing at most ℏ/8 of action per sub-tick. Previous RS papers tacitly adopted the standard courier-photon wave equation. Here we prove that those two axioms alone force a nearest-neighbor relay law in which no energy parcel crosses space; a light signal is a marching pattern of local borrow–return events. By explicit variation of the total recognition cost we derive the unique gradient current that satisfies ledger neutrality, obtain the massless wave equation as its continuum limit, and recover the discrete relay form used phenomenologically in earlier work. The courier photon is shown to be a coarse-grained bookkeeping convenience, not a fundamental entity. All established RS results—eight-tick collapse timing, the universal energy quantum Ecoh, gauge closure—remain intact. A picosecond phase-flip Michelson interferometer with a 3 m arm mismatch provides a $38 k decisive test: an instantaneous fringe jump confirms relay propagation; a 10 ns delay vindicates the courier approximation.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15420685 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Relay Propagation as a Theorem of Recognition Science Washburn, Jonathan <p>Recognition Science (RS) rests on two axioms: a universal cost functional J(x) = 1/2 x+x^(-1) and an eight-tick ledger-neutrality rule that limits each spacetime point to borrowing at most ℏ/8 of action per sub-tick. Previous RS papers tacitly adopted the standard courier-photon wave equation. Here we prove that those two axioms alone force a nearest-neighbor relay law in which no energy parcel crosses space; a light signal is a marching pattern of local borrow–return events. By explicit variation of the total recognition cost we derive the unique gradient current that satisfies ledger neutrality, obtain the massless wave equation as its continuum limit, and recover the discrete relay form used phenomenologically in earlier work. The courier photon is shown to be a coarse-grained bookkeeping convenience, not a fundamental entity. All established RS results—eight-tick collapse timing, the universal energy quantum Ecoh, gauge closure—remain intact. A picosecond phase-flip Michelson interferometer with a 3 m arm mismatch provides a $38 k decisive test: an instantaneous fringe jump confirms relay propagation; a 10 ns delay vindicates the courier approximation.</p> |
| title | Relay Propagation as a Theorem of Recognition Science |
| url | https://doi.org/10.5281/zenodo.15420685 |