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The Fractured Continuum: Non-Archimedean Spacetime and Field Dynamics in Post-Quantum Calculus |
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PP: 1-4 |
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doi:10.18576/qpl/150201
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Author(s) |
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Akwaboah Vincent,
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Abstract |
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| In this study, we present a new formulation of quantum field dynamics by replacing the classical continuum with the algebraic structure of (p,q)-calculus. By introducing a dual-parameter deformation scale where 0 < q < p le 1, we construct an invariant field theory that inherently lacks the infinitesimals of standard calculus. This work also demonstrates that the unanchored (p,q)-difference operator introduces a natural, non-local quantum fuzziness that effectively regularizes ultraviolet (UV) divergences without artificial momentum cutoffs. We derive the generalized (p,q)-Hermite-Hadamard bounds to constrain particle localization paths.
Finally, we establish a new multi-scale bound proving that all physical states within this non-Archimedean spacetime framework are immune to infinite derivative singularities. |
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