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June 6, 2026Open Access

New Applications of the Universal Kink Quantisation Theorem: Explicit examples beyond the standard models

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Authors

ATAlexander TimmermansAKAnton Kalmykov

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Overview

Randomized trial demonstrates the applicability of the universal kink quantisation theorem using diverse potentials.

Key Points

  • The aim is to apply the universal kink quantisation theorem to various scalar field theories.
  • Illustrated with examples of novel potentials supporting topological kinks.
  • Explicit computations of masses for different kink profiles.
  • Confirmed the universal symplectic structure without needing closed-form kink profiles.
  • Masses computed for an octic double-double-well model, confirming theoretical predictions.
  • Masses determined for an asymmetric double-well potential, showcasing practical applicability.
  • Non-integrable periodic potential confirmed the universal symplectic structure in various cases.

Cite This Study

Timmermans et al. (2026) studied this question.

synapsesocial.com/papers/6a23bb4471a5da9775e76cc7https://doi.org/10.5281/zenodo.20547706
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 123. Limitations and Extensions of the Universal Kink Quantisation Theorem: Non‑standard kinetic terms and the renormalisation of the kink mass2026
  2. 203. Universal Quantization of the Translational Mode of Relativistic Kinks - A geometric pullback theorem for scalar field theories with vacuum degeneracy2026
  3. 3Universal Quantization of the Translational Mode of Relativistic Kinks - A geometric pullback theorem for scalar field theories with vacuum degeneracy2026
  4. 406.02. Geometric Subsystem Quantization of Double Sine-Gordon Multi‑Kinks2026
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