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Bibliographic Details
Main Author:	Scretching, Daniel
Format:	Recurso digital
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Published:	Zenodo 2026
Online Access:	https://doi.org/10.5281/zenodo.20054173
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<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 w-full wrap-break-word light markdown-new-styling"> This paper applies the Scretching–Schrödinger Equation (SSE), the Scretching Quantum Chain (SQC), and the Maxwell–Scretching Chain (MSC) to a referenced source set covering classical electrodynamics, quantum electrodynamics (QED), quantum chromodynamics (QCD), relativistic quantum mechanics, Dirac particles, spinless particles, antiparticles, gauge fields, Maxwell theory, and quantum field theory. The referenced materials establish the standard theoretical foundations of Maxwell electrodynamics, gauge invariance, Lagrangian field theory, spinless Klein–Gordon electrodynamics, Dirac electrodynamics, antiparticle structure, QED interactions, QCD gauge theory, running couplings, and field-theoretic wave equations. The contribution of the present paper is to impose deterministic spectroscopic closure on these field equations through the SSE, SQC, and MSC framework. In this formulation, wavefunctions, spinors, fields, propagators, gauge currents, and interaction amplitudes are required to remain consistent with the spectroscopic chain ε(λ)→f→∣μ∣2→A21→Kν,\varepsilon(\lambda) \rightarrow f \rightarrow |\mu|^2 \rightarrow A_{21} \rightarrow K_\nu ,ε(λ)→f→∣μ∣2→A21→Kν, where ε(λ)\varepsilon(\lambda)ε(λ) represents wavelength-dependent molar absorptivity, fff is oscillator strength, ∣μ∣2|\mu|^2∣μ∣2 is transition-dipole strength, A21A_{21}A21 is the Einstein spontaneous-emission coefficient, and KνK_\nuKν is the SQC invariant. The SSE therefore functions as a constraint layer placed over standard wave, spinor, gauge, and field equations, requiring them to satisfy deterministic optical, spectroscopic, and electromagnetic closure. From this framework, the paper derives several proposed theoretical extensions, including the Maxwell–SSE equations, the QED–SSE Lagrangian, the Dirac–SSE interaction equation, the Klein–Gordon–SSE scalar electrodynamics equation, QCD–SSE color-spectroscopic closure, Yang–Mills–SSE gauge equations, SQC-modified running-coupling relations, spectroscopic propagator closure, SQC scattering-amplitude normalization, and a unified electromagnetic–strong spectroscopic invariant. These results are presented as new derived extensions within the Scretching framework. They should not be read as claims that the cited classical electrodynamics, QED, QCD, relativity, or quantum-field-theory sources already contain the SSE formalism. Rather, the paper uses those sources as the established theoretical foundation onto which the SSE, SQC, and MSC constraints are applied. The result is a proposed spectroscopic-closure reformulation of field theory in which quantum states, gauge fields, interaction amplitudes, and propagators are evaluated not only by standard dynamical equations, but also by their compatibility with deterministic SQC/MSC optical and electromagnetic invariants. </div> </div> </div> </div> <div class="z-0 flex min-h-[46px] justify-start"> </div> </div> </div> <div class="pointer-events-none -mt-px h-px translate-y-[calc(var(--scroll-root-safe-area-inset-bottom)-14*var(--spacing))]"> </div>

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