| _version_ | 1866901757653680128 |
|---|---|
| author | Lietz, Justin |
| author_facet | Lietz, Justin |
| contents | <p>This paper derives Noether’s theorem from the Primitive Bifurcation Law of the Void<br>Dynamics Model (VDM), showing that conservation laws are not independent postulates<br>but necessary consequences of the invariant’s behaviour in directions of zero articulation<br>cost. A symmetry, in VDM terms, is a direction of transformation along which the invariant<br>bears no additional articulation cost to first order. Because the invariant cannot discharge,<br>it must continue articulating — but it need not pay cost in a direction it cannot see. The<br>accumulated articulation burden in that zero-cost direction is therefore conserved: it cannot<br>increase without the invariant paying a cost it has been shown not to pay, and it cannot<br>decrease without discharge. This is Noether’s theorem derived from non-discharge rather<br>than postulated.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19163157 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | CF15: Noether's Theorem as Invariant Articulation Cost Lietz, Justin <p>This paper derives Noether’s theorem from the Primitive Bifurcation Law of the Void<br>Dynamics Model (VDM), showing that conservation laws are not independent postulates<br>but necessary consequences of the invariant’s behaviour in directions of zero articulation<br>cost. A symmetry, in VDM terms, is a direction of transformation along which the invariant<br>bears no additional articulation cost to first order. Because the invariant cannot discharge,<br>it must continue articulating — but it need not pay cost in a direction it cannot see. The<br>accumulated articulation burden in that zero-cost direction is therefore conserved: it cannot<br>increase without the invariant paying a cost it has been shown not to pay, and it cannot<br>decrease without discharge. This is Noether’s theorem derived from non-discharge rather<br>than postulated.</p> |
| title | CF15: Noether's Theorem as Invariant Articulation Cost |
| url | https://doi.org/10.5281/zenodo.19163157 |