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ZENODO
Preprint . 2026
License: CC BY NC ND
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY NC ND
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY NC ND
Data sources: Datacite
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The Matter Trilogy: A Zero-Parameter Hardware Audit of the Proton Radius, Neutron Lifetime, and Mass Ratio (feat. The Electron Cursor Hypothesis)

Authors: Grimberg, Heiko;

The Matter Trilogy: A Zero-Parameter Hardware Audit of the Proton Radius, Neutron Lifetime, and Mass Ratio (feat. The Electron Cursor Hypothesis)

Abstract

This research paper presents a unified, zero-parameter geometric resolution to three of the most persistent discrepancies in modern particle physics: the Proton Radius Puzzle, the Neutron Lifetime Anomaly, and the origin of the Proton-Electron Mass Ratio. Operating within the framework of the Unified Chronofractal Field (UCF), this study demonstrates that fundamental particles are not isolated entities in a passive vacuum, but topological defects interacting with a discrete, 14-mode Bravais lattice ("Lattice 14"). By applying a strict k=0 (Zero-Parameter) constraint, we derive the exact magnitude of these physical observables solely from geometric invariants (π, ν, and integer lattice modes), without fitting parameters. UPDATE v12.1: This release includes Appendix E and the "Electron Cursor Visualization", defining the geometric hardware architecture of the lepton sector. Key Derivations & Results: The Proton Radius Puzzle (Geometric Compression) Standard QED cannot explain the 4% discrepancy between muon and electron measurements. The UCF identifies the muon as possessing sufficient mass density to couple with the vacuum's "Spin-Topology" limit. Formula: Γ_p = 1 - 1/8π ≈ 0.9602 (Matches PSI data >99.99%) The Neutron Lifetime Anomaly (Volumetric Lattice Drag) The gap between "Beam" and "Bottle" experiments is resolved by identifying motion through the lattice as a volumetric time dilation source. Formula: Γ_n = 1 + 1/27π ≈ 1.0118 (Exact resolution of the 10s gap) The Proton-Electron Mass Ratio (Integer Hardware) Mass is emergent from integer cluster locks of the lattice core (108°). The ratio is derived as the sum of Hardware Dimensions acting on the Core plus a fractal dimensional residue. Formula: μ = 17 * 108 + ν^4 ≈ 1836.146 (Matches CODATA to 99.9996%) NEW: The Electron Cursor Hypothesis (Lepton Interface) We derive the electron not as a particle, but as the active Read/Write Cursor of the vacuum hardware. Its mass is the geometric inverse of the proton's volumetric saturation, representing the energy cost of a surface interface. Definition: Electron = Lattice Surface / Proton = Lattice Volume. Implications This document confirms that the vacuum possesses a rigid geometric microstructure. Anomalies are not errors, but deterministic interactions with the Geometry of Spacetime. The universe operates on a fixed hardware code: Proton as Storage, Electron as Access.

Keywords

Lattice QCD Alternative, Fine Structure Constant, Proton-Electron Mass Ratio, Unified Chronofractal Field, Dark Energy, Muonic Hydrogen, Geometric Quantization, Topological Field Theory, Zero-Parameter Physics, Nexus AEBE, Heiko Grimberg, Lattice 14, UCF Theory, Beam vs Bottle, $k=0$, Vacuum Hardware, Electron Geometry, Vacuum Structure, Neutron Lifetime Anomaly

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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