The Geometric Origin of Dissipation Resistance as Microscopic Temporal Dispersion

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Main Author: Racki, Igor
Format: Recurso digital
Published: Zenodo 2026
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author Racki, Igor
author_facet Racki, Igor
contents <p>This work presents an experimentally testable framework in which electrical resistance is interpreted as the accumulated causal response of a system, and dissipation is quantified by the temporal dispersion of that response. Using established tools from linear response theory, noise spectroscopy, and THz impedance measurements, the impulse response kernel can be directly reconstructed and its temporal dispersion measured in real materials such as thin films and nanostructures.</p> <p>To provide a physical mechanism, the framework derives memory kernels from the elimination of inaccessible internal degrees of freedom, yielding generalized Langevin dynamics consistent with nonequilibrium statistical mechanics. A constrained symmetry realization based on a ghost-free internal state coordinate is presented as one explicit effective field theory model, introducing a regulator scale interpreted as the coherence length of the prepared state.</p> <p>The theory is explicitly falsifiable: the same regulator scale must remain consistent across independent experimental domains, including THz transport measurements and precision coherence constraints. All primary predictions can be tested using existing laboratory techniques, making the framework immediately accessible for experimental validation.</p>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_18733668
institution Zenodo
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publishDate 2026
publisher Zenodo
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spellingShingle The Geometric Origin of Dissipation Resistance as Microscopic Temporal Dispersion
Racki, Igor
temporal dispersion
electrical resistance
impedance spectroscopy
memory kernel
generalized Langevin equation
linear response theory
THz transport
fluctuation–dissipation theorem
open quantum systems
SO(4,1) symmetry
constrained dynamics
effective field theory
<p>This work presents an experimentally testable framework in which electrical resistance is interpreted as the accumulated causal response of a system, and dissipation is quantified by the temporal dispersion of that response. Using established tools from linear response theory, noise spectroscopy, and THz impedance measurements, the impulse response kernel can be directly reconstructed and its temporal dispersion measured in real materials such as thin films and nanostructures.</p> <p>To provide a physical mechanism, the framework derives memory kernels from the elimination of inaccessible internal degrees of freedom, yielding generalized Langevin dynamics consistent with nonequilibrium statistical mechanics. A constrained symmetry realization based on a ghost-free internal state coordinate is presented as one explicit effective field theory model, introducing a regulator scale interpreted as the coherence length of the prepared state.</p> <p>The theory is explicitly falsifiable: the same regulator scale must remain consistent across independent experimental domains, including THz transport measurements and precision coherence constraints. All primary predictions can be tested using existing laboratory techniques, making the framework immediately accessible for experimental validation.</p>
title The Geometric Origin of Dissipation Resistance as Microscopic Temporal Dispersion
topic temporal dispersion
electrical resistance
impedance spectroscopy
memory kernel
generalized Langevin equation
linear response theory
THz transport
fluctuation–dissipation theorem
open quantum systems
SO(4,1) symmetry
constrained dynamics
effective field theory
url https://doi.org/10.5281/zenodo.18733668