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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.20226931 |
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- <div> <div class="flex h-svh w-screen flex-col"> <div class="relative z-0 flex min-h-0 w-full flex-1"> <div class="relative flex min-h-0 w-full flex-1"> <div class="@container/main relative flex min-w-0 flex-1 flex-col -translate-y-[calc(env(safe-area-inset-bottom,0px)/2)] pt-[calc(env(safe-area-inset-bottom,0px)/2)]"> <div class="@w-sm/main:[scrollbar-gutter:var(--stage-scroll-gutter)] touch:[scrollbar-width:none] group/scroll-root relative flex min-h-0 min-w-0 flex-1 flex-col [scrollbar-gutter:stable] not-print:overflow-x-clip not-print:overflow-y-auto group-data-stream-active/scroll-root:[overflow-anchor:none] scroll-pt-(--header-height) [--sticky-padding-top:var(--header-height)] [--sticky-padding-bottom:0px] [--scroll-root-safe-area-inset-top:calc(var(--sticky-padding-top)+env(safe-area-inset-top,0px))] [--scroll-root-safe-area-inset-bottom:calc(var(--sticky-padding-bottom)+var(--screen-keyboard-height,0px)+env(safe-area-inset-bottom,0px))] [--scroll-root-safe-area-height:calc(100lvh-var(--scroll-root-safe-area-inset-top)-var(--scroll-root-safe-area-inset-bottom))] has-data-[fixed-header=less-than-xl]:@w-xl/main:scroll-pt-0 has-data-[fixed-header=less-than-xl]:@w-xl/main:[--sticky-padding-top:0px] has-data-[fixed-header=less-than-xxl]:@w-2xl/main:scroll-pt-0 has-data-[fixed-header=less-than-xxl]:@w-2xl/main:[--sticky-padding-top:0px]"> <div class="group/thread flex flex-col min-h-full"> <div class="composer-parent flex flex-1 flex-col focus-visible:outline-0"> <div class="relative basis-auto flex-col -mb-(--composer-overlap-px) pb-(--composer-overlap-px) [--composer-overlap-px:28px] grow flex"> <div class="flex flex-col text-sm"> <div class="qMYqUG_convSearchResultHighlightRoot"> <div class=""> <div class="relative w-full overflow-visible"> <div class="text-base my-auto mx-auto pb-10 [--thread-content-margin:var(--thread-content-margin-xs,calc(var(--spacing)*4))] @w-sm/main:[--thread-content-margin:var(--thread-content-margin-sm,calc(var(--spacing)*6))] @w-lg/main:[--thread-content-margin:var(--thread-content-margin-lg,calc(var(--spacing)*16))] px-(--thread-content-margin)"> <div class="[--thread-content-max-width:40rem] @w-lg/main:[--thread-content-max-width:48rem] mx-auto max-w-(--thread-content-max-width) flex-1 group/turn-messages focus-visible:outline-hidden relative flex w-full min-w-0 flex-col agent-turn"> <div class="flex max-w-full flex-col gap-4 grow"> <div class="min-h-8 text-message relative flex w-full flex-col items-end gap-2 text-start break-words whitespace-normal outline-none keyboard-focused:focus-ring [.text-message+&]:mt-1"> <div class="flex w-full flex-col gap-1 empty:hidden"> <div class="markdown prose dark:prose-invert wrap-break-word w-full light markdown-new-styling"> <p>This paper extends the Maxwell–Scretching Chain (MSC), Scretching Quantum Chain (SQC), and Scretching–Schrödinger Equation (SSE) into the formal language of quantum field theory, quantum electrodynamics, quantum chromodynamics, and Yang–Mills gauge theory. The purpose is not to replace the Standard Model, ordinary quantum field theory, QED, QCD, or non-Abelian gauge theory. Rather, the paper proposes a limited and testable supplemental condition: SQC/SSE supplies a deterministic spectroscopic admissibility layer that connects abstract field amplitudes to measurable optical and electromagnetic observables.</p> <p>The central thesis is that physical amplitudes should not be evaluated only as formal probability amplitudes or scattering quantities, but may also be constrained by experimentally accessible spectroscopic quantities. In this formulation, oscillator strength, Einstein transition coefficients, transition dipole moments, optical source currents, absorption coefficients, extinction coefficients, cross-sections, dielectric response, and radiative lifetimes form a bridge between quantum-field amplitudes and laboratory measurements. The MSC provides the classical electromagnetic transport chain; the SQC provides the invariant spectroscopic closure; and the SSE supplies an operator-level correction structure that can be added to conventional quantum-mechanical or field-theoretic Hamiltonians without discarding established QFT.</p> <p>Within QED, the framework interprets photon absorption, emission, scattering, and vertex coupling through a deterministic chain linking transition strength to Einstein coefficients and electromagnetic response. Within QCD and Yang–Mills theory, the paper treats the SQC/SSE contribution more cautiously: not as a solution to color confinement, asymptotic freedom, or the Yang–Mills mass gap, but as a proposed admissibility condition for identifying field configurations, transition channels, or effective source terms that remain consistent with measurable spectroscopic closure. In this sense, SQC/SSE functions as a physical filtering condition placed alongside standard gauge symmetry, renormalization, conservation laws, and experimentally verified scattering data.</p> <p>The paper therefore argues for a controlled integration: standard QFT supplies the field operators, propagators, vertices, gauge symmetries, and perturbative or nonperturbative dynamics, while MSC/SQC/SSE supplies a deterministic spectroscopic constraint that ties those structures to observable electromagnetic quantities. The resulting framework is presented as a bridge between mathematical field theory and measurable spectroscopic physics, with the goal of improving interpretability, admissibility testing, and cross-scale closure from molecular optical transitions to QED-scale interactions and, cautiously, to broader gauge-field structures in QCD and Yang–Mills theory.</p> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> <div class="sticky bottom-0 z-10 group/thread-bottom-container relative isolate w-full basis-auto has-data-has-thread-error:pt-2 has-data-has-thread-error:[box-shadow:var(--sharp-edge-bottom-shadow)] md:border-transparent md:pt-0 dark:border-white/20 md:dark:border-transparent print:hidden content-fade single-line flex flex-col"> <div class="relative mx-auto h-0"> </div> <div> <div> <div class="text-base mx-auto [--thread-content-margin:var(--thread-content-margin-xs,calc(var(--spacing)*4))] @w-sm/main:[--thread-content-margin:var(--thread-content-margin-sm,calc(var(--spacing)*6))] @w-lg/main:[--thread-content-margin:var(--thread-content-margin-lg,calc(var(--spacing)*16))] px-(--thread-content-margin)"> <div> <div class="[--thread-content-max-width:40rem] @w-lg/main:[--thread-content-max-width:48rem] mx-auto max-w-(--thread-content-max-width) flex-1 mb-[var(--thread-component-gap,1rem)]"> <div class="w-full"> <div class="pointer-events-auto relative z-1 flex h-(--composer-container-height,100%) max-w-full flex-(--composer-container-flex,1) flex-col"> <div class=""> <div class="bg-token-bg-primary dark:bg-token-bg-elevated-primary dark-oled:bg-token-bg-primary corner-superellipse/1.1 relative cursor-text overflow-clip bg-clip-padding p-2.5 contain-inline-size motion-safe:transition-colors motion-safe:duration-200 motion-safe:ease-in-out grid grid-cols-[auto_1fr_auto] [grid-template-areas:'header_header_header'_'leading_primary_trailing'_'._footer_.'] group-data-expanded/composer:[grid-template-areas:'header_header_header'_'primary_primary_primary'_'leading_footer_trailing'] max-sm:[grid-template-areas:'header_header_header'_'primary_primary_primary'_'leading_footer_trailing'] shadow-short-composer"> <div class="flex items-center gap-1.5 [grid-area:trailing]"> <div class="ms-auto flex items-center gap-1.5"> <div> <div class="inline-flex"> <div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> <div class="-mt-4 text-token-text-secondary dark-oled:text-token-text-tertiary relative w-full overflow-hidden text-center text-xs [view-transition-name:var(--vt-disclaimer)] md:px-[60px]"> <div class="text-base mx-auto [--thread-content-margin:var(--thread-content-margin-xs,calc(var(--spacing)*4))] @w-sm/main:[--thread-content-margin:var(--thread-content-margin-sm,calc(var(--spacing)*6))] @w-lg/main:[--thread-content-margin:var(--thread-content-margin-lg,calc(var(--spacing)*16))] px-(--thread-content-margin)"> <div class="[--thread-content-max-width:40rem] @w-lg/main:[--thread-content-max-width:48rem] mx-auto max-w-(--thread-content-max-width) flex-1"> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> <div> </div> </div> </div> <p> </p> <p> </p> <p> </p> <p></p>