22 - Formalism: Accounting Laws of the Cosmos

This paper derives Noether’s theorem from the Primitive Bifurcation Law of the Void

Dynamics Model (VDM), showing that conservation laws are not independent postulates

but necessary consequences of the invariant’s behaviour in directions of zero articulation

cost. A symmetry, in VDM terms, is a direction of transformation along which the invariant

bears no additional articulation cost to first order. Because the invariant cannot discharge,

it must continue articulating — but it need not pay cost in a direction it cannot see. The

accumulated articulation burden in that zero-cost direction is therefore conserved: it cannot

increase without the invariant paying a cost it has been shown not to pay, and it cannot

decrease without discharge. This is Noether’s theorem derived from non-discharge rather

than postulated.