Topological Charge, Q-Field, and the Anomalous Accelerations of Interstellar Objects

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author chang, binggong
author_facet chang, binggong
contents <p>This paper develops a unified topological dynamical framework by integrating Edward Witten's axion wormhole solution with Spacetime Ladder Theory (STLT), and applies it to explain the non-gravitational anomalous accelerations of the three known interstellar objects: 1I/'Oumuamua, 2I/Borisov, and 3I/ATLAS (C/2025 N1, discovered July 2025).</p> <p>The central theoretical mechanism is the Lorentz-analogue force law a = v x Q, where Q is a macroscopic vortex field (the Q-field) generated by dark-matter polarization, and v is the object's velocity. Using 3I/ATLAS as a calibration anchor, we derive the background Q-field intensity of the Solar System: Q_0 ~ 3.0 x 10^-11 s^-1, corresponding to a polarization-sphere boundary radius r ~ 353 AU. This boundary falls within the trans-Neptunian gap -- the sparse transitional region between the scattered disc and the inner Oort Cloud -- which we identify as the macroscopic manifestation of the dark energy volume V in STLT. Crucially, this volume V can be determined directly by astronomical survey rather than by back-calculation from acceleration data alone.</p> <p>Witten's axion wormhole solution provides the rigorous mathematical underpinning for the Q-field: flux quantization supplies Q with a discrete spectrum; duality between the two-form field and a scalar field reveals the deep connection Q = 2pi/T; and the topological charge m constitutes the geometric origin of matter generation (M proportional to m^2). We show that all three interstellar objects carry topological charges m ~ 10^16, and that their anomalous accelerations -- spanning the same order of magnitude -- are a direct consequence of this topological quantization rather than random outgassing coincidence.</p> <p>The paper's most important falsifiable prediction is: 3I/ATLAS should maintain a non-gravitational acceleration proportional to its instantaneous velocity at heliocentric distances well beyond 5 AU, in contrast to the standard Marsden-Sekanina model where outgassing-driven acceleration decays as ~1/r^2. This prediction is testable with current tracking assets as 3I/ATLAS is presently outbound past Jupiter (March 2026).</p>
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publishDate 2026
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spellingShingle Topological Charge, Q-Field, and the Anomalous Accelerations of Interstellar Objects
chang, binggong
axion wormhole; topological charge; Q-field; Spacetime Ladder Theory; interstellar objects; non-gravitational acceleration; 1I/'Oumuamua; 2I/Borisov; 3I/ATLAS; C/2025 N1; flux quantization; dark energy volume; trans-Neptunian gap; falsifiable prediction
<p>This paper develops a unified topological dynamical framework by integrating Edward Witten's axion wormhole solution with Spacetime Ladder Theory (STLT), and applies it to explain the non-gravitational anomalous accelerations of the three known interstellar objects: 1I/'Oumuamua, 2I/Borisov, and 3I/ATLAS (C/2025 N1, discovered July 2025).</p> <p>The central theoretical mechanism is the Lorentz-analogue force law a = v x Q, where Q is a macroscopic vortex field (the Q-field) generated by dark-matter polarization, and v is the object's velocity. Using 3I/ATLAS as a calibration anchor, we derive the background Q-field intensity of the Solar System: Q_0 ~ 3.0 x 10^-11 s^-1, corresponding to a polarization-sphere boundary radius r ~ 353 AU. This boundary falls within the trans-Neptunian gap -- the sparse transitional region between the scattered disc and the inner Oort Cloud -- which we identify as the macroscopic manifestation of the dark energy volume V in STLT. Crucially, this volume V can be determined directly by astronomical survey rather than by back-calculation from acceleration data alone.</p> <p>Witten's axion wormhole solution provides the rigorous mathematical underpinning for the Q-field: flux quantization supplies Q with a discrete spectrum; duality between the two-form field and a scalar field reveals the deep connection Q = 2pi/T; and the topological charge m constitutes the geometric origin of matter generation (M proportional to m^2). We show that all three interstellar objects carry topological charges m ~ 10^16, and that their anomalous accelerations -- spanning the same order of magnitude -- are a direct consequence of this topological quantization rather than random outgassing coincidence.</p> <p>The paper's most important falsifiable prediction is: 3I/ATLAS should maintain a non-gravitational acceleration proportional to its instantaneous velocity at heliocentric distances well beyond 5 AU, in contrast to the standard Marsden-Sekanina model where outgassing-driven acceleration decays as ~1/r^2. This prediction is testable with current tracking assets as 3I/ATLAS is presently outbound past Jupiter (March 2026).</p>
title Topological Charge, Q-Field, and the Anomalous Accelerations of Interstellar Objects
topic axion wormhole; topological charge; Q-field; Spacetime Ladder Theory; interstellar objects; non-gravitational acceleration; 1I/'Oumuamua; 2I/Borisov; 3I/ATLAS; C/2025 N1; flux quantization; dark energy volume; trans-Neptunian gap; falsifiable prediction
url https://doi.org/10.5281/zenodo.18986188