Why an Internally Structured Electron Can Still Appear Point-Like: A Zero Theory Bridge to Standard Physics

Zero Theory Bridge Paper – Point-Like Electron: Layer-Readout, Relativistic Contraction, and External Form Factor This package contains a bridge paper and its accompanying computational appendix, showing how the electron can have an internal layered phase-knot structure (as described in Zero Theory) yet still appear point-like in all current experiments. The electron-like knot has the architecture 1-11-11-1. The external observer is attached to the outer anchor (Layer 1), while the active mass-carrying layer (Layer 2) moves relativistically with beta = 11/ (4π-1) ≈ 0. 9510 and gamma ≈ 3. 2353. From the Layer-1 viewpoint, Layer 2 is Lorentz-contracted, giving an effective external size L₂|₁ ~ 7. 4 ℓP (≈ 1. 2×10^-34 m). For momentum transfers up to q ~ 10^18 m^-1, the leading form-factor deviation is 1-F (q²) ~ 10^-33 – far below any accessible experimental resolution. Hence the electron remains operationally point-like, despite internal structure. Core conceptual shift: Point-like appearance ≠ mathematical zero size. It is an external-resolution effect due to layer-readout and relativistic contraction. Files in this package: - pointₗikeₑlectronbridge. pdf: The bridge paper (short, self-contained) suitable for posting on Academia. edu, arXiv, Zenodo, etc. - appendixₚointlikeₗayerᵣeadout. tex: LaTeX appendix with full derivations, layer definitions, and the form-factor estimate. Ready to be used as supplementary material. - layerᵣeadoutₚointlikediagnostics. py: Python 3 script to compute beta, gamma, contracted length, and 1-F (q²). No external dependencies (uses math, csv, pathlib). - layerᵣeadoutₚointlikeₛummary. csv: Numerical output from the script (Planck length, beta, gamma, L0, L₂|₁, deviation, etc. ) with high precision. - layerᵣeadoutₗatexblock. tex: Auto-generated LaTeX code block with the numerical values ready for pasting. - README. txt: Brief English instructions for using the package. Reproducibility: Run the Python script: python layerᵣeadoutₚointlikediagnostics. py It prints results to the terminal and generates the CSV and LaTeX output files. All numbers in the bridge paper and the appendix are exactly reproduced. Citation suggestion (if you use this material): S. M. H. Emamifar, "Zero Theory Bridge Paper – Point-Like Electron: Layer-Readout, Relativistic Contraction, and External Form Factor", Zenodo (2026). DOI: will be assigned License: CC-BY-NC 4. 0