Theory Of Imbalance Of Energy v2.1. predictions PAPER 2- Orbital Confinement and Forbidden Radii from Redistribution Constraints

Sustained orbital motion is a widespread and long-lived feature of natural systems, yet
the structural conditions that permit such motion are rarely examined independently of
specific interaction laws or geometric frameworks. In this work, we derive necessary con
straints for orbital confinement that follow directly from the requirement of finite interaction
response established in TIE 2.1-1. We show that persistent non-radial bounded motion re
quires nonzero response delay and a systematic phase offset between system evolution and
corrective interaction. From these constraints follow several unavoidable predictions: the
existence of inner and outer confinement limits beyond which stable orbits cannot persist,
the organization of orbital stability into restricted regions rather than uniform continua,
and the breakdown of orbital motion as system conditions approach extreme accumulation.
No force law, spatial geometry, or explanatory mechanism is assumed. The results establish
structural requirements that any physical theory capable of reproducing sustained orbital
behavior must satisfy.
Series Position within TIE v2. — This paper forms part of the Theory of Imbalance of Energy
(TIE v2) program, which is organized into synthesis (TIE 2.0), prediction (TIE 2.1), explanation
(TIE 2.2), and constant-emergence (TIE 2.3) series. The present work is the second contribu
tion to the TIE 2.1 prediction series and builds directly on TIE 2.1-1, which established finite
interaction response as a necessary condition for stability. Here, that constraint is extended
to systems exhibiting sustained orbital motion. No interaction law, field structure, material
substrate, or spacetime interpretation is introduced. Explanatory mechanisms and quantitative
formulations are intentionally deferred to later stages of the TIE program.