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Quasicrystalline Inflation: From the Cosmological Dipole to Primordial Diffraction
Abstract
We propose quasicrystalline inflation. Six quasiperiodic phases decompose into three phonons and three phasons. It turns out that a coherent pure-phason displacement can generate a local power dipole while the linear traceless quadrupole vanishes. From spatially varying quadratic effective field theory, we derive off-diagonal correlations whose momentum transfer is restricted to integer combinations of the six icosahedral wavevectors. These correlated off-diagonal signals provide a characteristic observational signature of primordial quasiperiodic order, primordial diffraction.
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BibTeX
@misc{soda2026quasicrystalline,
title = {{Quasicrystalline Inflation: From the Cosmological Dipole to Primordial Diffraction}},
author = {Jiro Soda},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.02142},
eprint = {2609.02142},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.02142},
}
RIS
TY - UNPB
TI - Quasicrystalline Inflation: From the Cosmological Dipole to Primordial Diffraction
AU - Jiro Soda
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2609.02142
UR - https://arxiv.org/abs/2609.02142
AB - We propose quasicrystalline inflation. Six quasiperiodic phases decompose into three phonons and three phasons. It turns out that a coherent pure-phason displacement can generate a local power dipole while the linear traceless quadrupole vanishes. From spatially varying quadratic effective field theory, we derive off-diagonal correlations whose momentum transfer is restricted to integer combinations of the six icosahedral wavevectors. These correlated off-diagonal signals provide a characteristic observational signature of primordial quasiperiodic order, primordial diffraction.
ER -