What question did this study set out to answer?

The aim is to model observable reality using a framework that reveals how hidden states influence observable structures.

April 21, 2026Open Access

Projected State Dual-Origin Theory II: Threshold Emergence from Hidden-Null States

Key Points

The aim is to model observable reality using a framework that reveals how hidden states influence observable structures.
Developed a projection-based theoretical framework for hidden state modeling.
Introduced Infinite-Zero and G-loops as key components of the framework.
Conducted numerical simulations to explore threshold-driven emergence from hidden states.
Identified critical activation thresholds for observable structure emergence.
Demonstrated that hidden-null states have a physically meaningful role in dynamics.
Provided reproducible results and simulation code for validation.

Abstract

This work presents a projection-based theoretical framework for modeling observable reality as an admissible projection of a deeper hidden state space. The framework introduces: Infinite-Zero (𝟘∞) as a hidden balanced null state G-loops (Gₗ) as closed dynamic excitations A dual-origin field structure combining dynamics and geometric constraint A numerical simulation demonstrates threshold-driven emergence of observable structure from hidden-null states. A perturbation sweep identifies a critical activation threshold, supporting the interpretation of hidden balance as a physically meaningful regime. Included: Full manuscript Simulation code Reproducible results

Projected State Dual-Origin Theory II: Threshold Emergence from Hidden-Null States

Key Points

Abstract

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