Superoscillatory preliminary states throughout inflation: principle, CMB constraints, and prospects for galaxy clustering

arXiv:2606.25133v1 Announce Sort: cross
Summary: We assemble an specific boundary-action realization of superoscillatory preliminary states (SIS) for inflation, through which quantum interference inside a band-limited preliminary wavefunctional generates a spectrally localized Bogoliubov excitation with a quickly winding part. Ranging from a quadratic boundary time period on the preliminary time floor, we derive the Bogoliubov coefficients and the ensuing primordial curvature spectrum, acquiring a localized oscillatory function fastened by the superoscillatory parameters $(a,N)$ fairly than imposed phenomenologically. We compute the projection of this function onto CMB angular energy spectra and present that transfer-function smearing strongly suppresses the oscillatory part; full CAMB calculations verify the qualitative impact and present {that a} easy Gaussian approximation overestimates the height sign by a few issue of three. Utilizing Planck 2018 TT knowledge, we acquire an indicative matched-filter sure $lambda lesssim 0.05$ for a consultant function centered close to the primary acoustic peak, $Delta ok/k_* = 0.05$ at $k_* = 1.45times 10^{-2},mathrm{Mpc}^{-1}$. We additional derive correlated predictions for polarization and the bispectrum, determine structural constraints that distinguish SIS from generic excited-state fashions, and present that galaxy clustering offers a qualitatively extra highly effective probe as a result of it preserves the complete oscillatory construction that CMB projection suppresses. This framework offers a concrete and testable realization of how initial-state quantum interference can imprint itself on cosmological observables.



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