ACORN Booklet 7: Radiation and Quantisation — Curvature Radiation and the Planck Closure

ACORN Framework Booklet Series The ACORN framework is a geometric curvature–closure approach to fundamental physics in which mass, quantisation, and dynamical behaviour arise from closed circulation of intrinsic curvature channels governed by a compact canonical operator structure. From these canonical relations emerge invariant closure norms, quantised loop actions, and recurrence relations organising stable physical structure. The ACORN booklet series develops the consequences of this canonical framework across multiple domains of physics. Each booklet begins from the frozen Canon and explores how familiar physical phenomena arise as projections or consequences of curvature closure dynamics. This booklet develops the radiation and quantisation sector of the ACORN framework. Radiative emission is interpreted as the release of odd-channel curvature when acceleration or dynamical imbalance prevents perfect closure between complementary curvature channels. In this picture electromagnetic radiation corresponds to the shedding of curvature mismatch into freely propagating projection modes. Within this framework the classical Larmor–Liénard radiation law emerges naturally from curvature imbalance, while the Planck relation arises from the universal recurrence law governing closed curvature loops. The structural relation mc2T0=Nhmc^2 T_0 = Nhmc2T0=Nh links intrinsic recurrence to quantised action, establishing the Planck constant hhh as the minimal closed-loop action of curvature circulation rather than an independent physical postulate. This construction provides a geometric bridge between classical radiation, quantum action, and invariant recurrence. Photons appear as null projection modes associated with propagating curvature closure, while the invariant propagation bound ccc governs both electromagnetic propagation and closure dynamics. ACORN: Radiation and Quantisation therefore demonstrates how radiative emission, quantised action, and the Planck constant emerge naturally from the closure structure of the ACORN Canon. This booklet prepares the conceptual foundation for the subsequent development of relativistic projection, unified curvature closure, and cosmological structure within the ACORN framework.