Resolution of the Cosmic-Ray Positron Excess Anomaly: Dynamic Substrate Shear Cleavage, Vacuum Soliton Spallation, and the AMS-02 High-Energy Plateau Without Dark Matter Annihilation
Year: 2026
Type: preprint
Abstract: Measurements of the cosmic-ray positron fraction R_e+ = Φ(e+) / [Φ(e+) + Φ(e-)] by the PAMELA satellite and the Alpha Magnetic Spectrometer (AMS-02) aboard the ISS have established an acute anomaly: instead of falling monotonically with energy as secondary cosmic-ray models strictly require (R_e+ ∝ E^-0.35), the fraction rises steeply above ~10 GeV up to ~350–500 GeV, flattening into a plateau with an exponential cutoff around E_cut ≈ 415 GeV. Attempted explanations invoking thermal WIMP dark matter annihilation require an unphysical "boost factor" (~10^3) ruled out by Fermi-LAT dwarf spheroidal gamma-ray bounds, while pulsar models fail to account for the strict, sub-percent spatial isotropy measured by AMS-02. Building upon our foundational series on the physical vacuum as an elastically pre-stressed continuum, we show that the positron excess is the deterministic consequence of dynamic substrate shear cleavage during relativistic soliton transport. In our ontology, electrons and positrons are localized topological vortex solitons with opposite mechanical helicities. When an ultra-relativistic proton soliton (γ ≫ 10) traverses the pre-stressed vacuum substrate, its Lorentz-contracted strain envelope exerts an intense dynamic shear traction that drives the local medium beyond its critical yield limit: σ_dyn ≥ P_Schwinger ≈ 7.48 × 10^24 Pa. The continuum undergoes localized non-linear cleavage, nucleating e+e- pairs directly from the pre-stressed medium without requiring gas collisions. We analytically derive the threshold E_threshold ≈ 10.8 GeV, the rising power law R_e+ ∝ E^+0.25, and the high-energy saturation cutoff E_sat ≈ 422 GeV set by the unit-cell lattice parameter ℓ_0 ≈ 8.10 × 10^-35 m. This completely resolves the AMS-02 positron anomaly and accounts for its strict spatial isotropy under Occam's razor without speculative dark matter particles or fine-tuned magnetospheric accelerators.
Author: Novák, Miroslav
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225809481
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