Published October 25, 2026 | Version 1

Symplectic Symmetry from a Source with Memory

Authors/Creators

  • 1. Recognition Science Institute

Description

Which changes of frame preserve a source together with the records it can carry? For the native eight-state cell of Recognition Science, we classify the unitary transformations preserving its six-dimensional contact space and admitting covariance of the full populated-record source. The source forces commutation with the literal half-cycle. In the contact coordinates this is the conformal symplectic equation BᵀJB = wJ. The represented group is (Sp(2) × U(1))/ℤ₂, with an eleven-dimensional Lie algebra. We derive the source commutant, the faithful representation and its observable kernel, and show how one shared control transports both retained references while leaving the readers unchanged in operator closure. The mechanism is explicit: record mixing identifies three source components, and the half-cycle turns that identification into an alternating form on the contact carrier.

Files

OperationalCovarianceSymplectic.pdf

Files (124.8 kB)

Name Size
md5:2d27ca224367378a603872817bb322f2
124.8 kB Preview Download