The Cyclic Nature of the Two Operational Modes Matter as a Continuous Oscillation Between Three-Dimensional Creation and Two-Dimensional Maintenance Governed by the Translational-Rotational Velocity Ratio

MS32 established that helical motion is the universal geometric mechanism of organized physical structure across ten independent empirical domains at 5.3-sigma combined significance MS32. MS33 established that this universal helix operates in two distinct modes determined by the ratio of translational to rotational velocity M: a three-dimensional creation mode at micro scale when M approaches unity, and a two-dimensional maintenance mode at macro scale when M is much less than unity, with combined significance of 6.4-sigma across thirteen domains MS33. The present paper, MS34, establishes the next level of the framework: the two modes of MS33 are not static states. They are phases of a continuous cycle. Matter does not permanently occupy one mode. It oscillates between creation and maintenance, driven by external energy conditions that alter the v/r ratio of the system, transitioning from three-dimensional closed structure to two-dimensional dispersed organization and back to three-dimensional closed structure in cycles that repeat across all physical scales. This discovery reframes the question of physical organization from a question of structure to a question of process: matter is not organized — matter is organizing, continuously, in cycles whose direction and geometry are determined by a single control parameter. Three independent empirical domains are introduced: the stellar formation cycle from nebula to star to supernova and back to nebula, the protein folding andv