Applied Identity Physics: Electron Geometry Simulator™, a Guide to the Views, Controls and Applications

# Applied Identity Physics: Electron Geometry Simulator™, a Guide to the Views, Controls and Applications **Live simulator:** uuia app/electron **Architect:** HIGHTISTIC (Russell Vernon Trent III) · SNSFT Foundation · Soldotna, Alaska **ORCID (Open Researcher and Contributor ID):** 0009-0005-5313-7443 · **DOI (Digital Object Identifier) base:** 10.5281/zenodo.18719748 **Formal basis:** Electron Geometric Decomposition [9,9,3,21] · 1/α = TL × 1001 [9,9,3,14] · Bohr–Rydberg–Sommerfeld Reduction [9,9,3,15] **Companion simulator:** String-Breaking Simulator™ [9,9,3,22] --- ## Overview The Electron Geometry Simulator™ is a browser tool in the Applied Identity Physics™ series. It shows how a single number, the Universal Torsion Limit TL = 0.136899099984016, sets the sizes of the electron, the electron's speed in hydrogen, the colors of light hydrogen gives off, and the energy at which hydrogen comes apart. It is built for two audiences at once. In **Learner** mode, every view carries a plain-language caption and values are rounded to seven figures. In **Researcher** mode, the same views show the governing formulas, values to eighteen figures, and the full list of measured inputs. The simulator has four views: 1. **The scale ladder:** the three lengths of the electron, each one step of TL × 1001 from the next. 2. **Bare + kinetic:** 1/α split into its two TL terms. 3. **Hydrogen spectrum:** energy levels, transitions and wavelengths, compared with measured lines. 4. **Shatter:** external forcing (F_ext) drives hydrogen up to TL, where it reorganizes into two smaller stable identities. The Shatter view is a second deployment of the threshold structure in the String-Breaking Simulator™. That simulator runs it on a stretched gauge string across a chain of trapped ions; this one runs it on a hydrogen atom. The substrate is different; the boundary is the same. The simulator runs at uuia app/electron as one self-contained HTML (HyperText Markup Language) file. It needs no installation and no account, and it works in any current browser on a desktop, tablet or phone. --- ## 1. Grounding ### 1.1 The fine-structure constant identity Start from the measured value, 1/α = 137.035999084 from CODATA 2018 (the Committee on Data of the International Science Council), and subtract one Universal Torsion Limit, TL = 0.136899099984016: 137.035999084000016 − 0.136899099984016 = 136.899099984016 = TL × 1000 The remainder is TL again, a thousand times over, so: 1/α = TL × 1001 = 0.136899099984016 × 1001 = 137.035999084000016 The identity matches CODATA 2018 to all 12 published significant figures, Δ = 0, with zero free parameters ([9,9,3,14]). This subtraction is shown at all times in the simulator's left panel, under **The Napkin Math**. ### 1.2 The Identity Physics primitives Every reduction in the Identity Physics Corpus operates on four irreducible primitives, Pattern, Narrative, Behavior and Adaptation (PNBA): - **Pattern (P):** structural capacity, geometry, template integrity, restoring force - **Narrative (N):** temporal continuity, worldline, depth, history - **Behavior (B):** coupling output, charge, density fraction, force, expression - **Adaptation (A):** feedback rate, decay constant, repair rate Derived structural quantities: - **Universal Torsion Limit:** TL = 0.136899099984016 · Sovereign Anchor Constant Ω₀ = TL × 10 = 1.36899099984016 - **Torsion:** τ = B / P -