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feat: path graph transport and position observables on ℂ^d - #1665

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naype888-cloud:feat-physlibalpha-pr-path-observables
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naype888-cloud wants to merge 2 commits into
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naype888-cloud:feat-physlibalpha-pr-path-observables

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@naype888-cloud naype888-cloud commented Sep 20, 2026 •

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This PR how it works, defines T_d adyacence matrix from elemental dynamic / espectral radius 2cos(pi/(d+1)) and P_d (slash with coordenate centered in -1,1).

what the lemma does? bougth of them are hermitians then becomes in to Observable (C^d --L C^d) this is: transport.observable, position.observable.

now new theorems only defs and hermiticity.

im doing my best to finish this theoren so maybe soon i push more comits,

Tks alot , guys tks to Josehp¡

Add `PathObservables.transport` and `PathObservables.position`, the Hermitian matrices built on
`SimpleGraph.pathGraph d`, and their realisation as observables of `ℂ^d →L[ℂ] ℂ^d`.

Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>
Signed-off-by: Eduardo Nava Hernandez <naype888@gmail.com>
@github-actions github-actions Bot added the small label Sep 20, 2026
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Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>
Signed-off-by: Eduardo Nava Hernandez <naype888@gmail.com>
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