Engineering and Applied Sciences Journal

Half-Silvering Dimensions: A Formal Expansion of Directional Observation Logic in Layered Systems

Abstract

Kaiden Jones

This paper presents an expanded and formalised treatment of Half-Silvering Dimensions, a theoretical model originally introduced to explore directional observation across layered systems. In this framework, each dimension is conceptualised as a boundary that can observe and define the states of dimensions beneath it but cannot itself be observed or defined by lower layers. The model uses a metaphor inspired by half-silvered mirrors in optics. This is not intended to suggest literal dimensional boundaries but to express the asymmetry of information flow. This extension develops the theory through formal logic, symbolic language, and a set of nine derived equations that regulate the propagation of definition. Observation is used in the neutral sense found in quantum mechanics, where a system becomes defined through interaction rather than sentient awareness. To test the consistency of the model, two simulations were constructed. One is a collapse model based on Schrödinger’s Cat. The other is a layered virtual machine stack. Each verifies the theory’s constraints and confirms that defined states propagate logically downward under controlled conditions. This paper builds upon the original theory by integrating mathematical formalism, logic structures, and real-world analogues to support potential applications in computation, epistemology, and layered logic systems.

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