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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Dimensional hierarchy in attosecond photoemission as a symmetry projection effect

Authors: Al-Mayahi, Abdulsalam;

Dimensional hierarchy in attosecond photoemission as a symmetry projection effect

Abstract

This preprint proposes a projection-based explanation for the striking “dimensional hierarchy” reported in spin-resolved attosecond photoemission—where measured vertical transition delays increase by roughly an order of magnitude from three-dimensional Cu(111) to quasi-one-dimensional CuTe. Rather than interpreting the hierarchy as a direct slowing of intrinsic quantum phase evolution under reduced symmetry, the work shows that much of the spread can be accounted for as a measurement-frame projection effect. The central claim is that the experimentally reported laboratory delay t is related to an internal dynamical time coordinate \tau by a computable symmetry projection factor \chi_{\mathrm{sym}} constructed from band velocities, i.e. t \approx \chi_{\mathrm{sym}}\,\tau. Under this mapping, phase progress in \tau is near-universal across the compared materials, while the apparent hierarchy in t emerges from geometry-dependent dilation between internal and laboratory frames. A single-parameter fit collapses the measured spread by a factor of 3.8 with \chi^2/\mathrm{dof}=1.28, using full uncertainty propagation from both experimental and band-structure contributions. Beyond fitting, the framework yields falsifiable predictions for when and how the hierarchy should strengthen, weaken, or invert under controlled changes in symmetry and band-velocity structure. Conceptually, the results motivate treating “slower transitions” not as a necessary change in intrinsic dynamics but as a consequence of how internal temporal evolution projects into measured time under symmetry constraints—an interpretation consistent with internal-time dynamics. Keywords: attosecond photoemission; Eisenbud–Wigner–Smith delay; internal time; symmetry projection; phase-space dimensionality; spin-resolved ARPES

Keywords

• Attosecond photoemission • Eisenbud–Wigner–Smith delay • Internal time • Symmetry projection • Phase-space dimensionality • Spin-resolved ARPES • Quantum time delays • Union Dipole Theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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