Quantum TunnelingFrom Directive_Driven to Indiscriminate Range Probability - Version 3.0

Version 3.0 extends the Directive–Driven Phase–Step Collapse (DD–PSC) model into a unified, beam‐driven geometry framework. Retaining the original six‐stage collapse–storage–fan cycle and its mapping onto GUR’s tri‐phase time, this release shows how both Caltech-style overshoot and quantum-tunneling suppression arise from a single “self‐closing” collapse triangle governed by the wave’s beam angle. Key advances include: One-wave vs. two-wave collapse: Differentiates the single-cone truncation at T₋₁ in tunneling from the dual-cone overshoot at T₁ and T in slit experiments. Universal Collapse Triangle Theorem: Introduces the closed-form offset Δ = L (1–cos θ)/(1+cos θ), valid for both orthogonal and axial detours. Beam-Envelope Storage Rings: Demonstrates that wave rings at T₁, T, or T₋₁ are the loci the wave “becomes,” shaped by angular divergence rather than arbitrary deflection. Experimental Tolerance Model: Implements a 2σ Gaussian-envelope cutoff to bound real-world ring widths and coherence-length effects. We reconcile photon-slit and electron-tunneling collapse narratives, review atomic double-slit analogs, and propose multi-barrier tests to verify the predicted offsets. Version 3.0 closes the conceptual gap in post-barrier quantum collapse and sets a precise geometric protocol for future tabletop and cosmological investigations.