Evidence for Log-Periodic Modulation in High-Redshift Compact Object Abundance Consistent with Cyclic Condensate Collapse
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866908847074967552 |
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| author | Fukuyama, Takeshi |
| author_facet | Fukuyama, Takeshi |
| contents | We analyze the redshift distribution of high-$z$ galaxies and active galactic nuclei identified in early JWST data, and investigate the presence of periodic structure in the variable $x=\ln(1+z)$. A baseline-corrected unbinned frequency analysis reveals a statistically significant peak corresponding to a spacing $Δx \simeq 0.34$, suggesting an approximately log-periodic pattern in the redshift distribution.
A periodic structure in $x$ implies a preferred scaling ratio in $(1+z)$, which may be interpreted as a realization of discrete scale invariance. We discuss the possibility that such behavior arises from cyclic condensate dynamics in Bose--Einstein condensate (BEC) cosmology. In the Fukuyama--Morikawa--Tatekawa framework, repeated collapse and re-formation episodes of a self-interacting condensate occur over characteristic timescales of order several $10^8$ years. When mapped into redshift space, this temporal periodicity naturally translates into an approximately constant spacing in $\ln(1+z)$.
While the observed frequency is not interpreted as a sharp theoretical prediction, its magnitude is quantitatively consistent with the intrinsic cycle timescale of QCD-axion motivated condensate dynamics. The present analysis therefore provides observational support for cyclic BEC cosmology as a viable dynamical origin of log-periodic structure in the high-redshift universe. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_19044 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Evidence for Log-Periodic Modulation in High-Redshift Compact Object Abundance Consistent with Cyclic Condensate Collapse Fukuyama, Takeshi Cosmology and Nongalactic Astrophysics We analyze the redshift distribution of high-$z$ galaxies and active galactic nuclei identified in early JWST data, and investigate the presence of periodic structure in the variable $x=\ln(1+z)$. A baseline-corrected unbinned frequency analysis reveals a statistically significant peak corresponding to a spacing $Δx \simeq 0.34$, suggesting an approximately log-periodic pattern in the redshift distribution. A periodic structure in $x$ implies a preferred scaling ratio in $(1+z)$, which may be interpreted as a realization of discrete scale invariance. We discuss the possibility that such behavior arises from cyclic condensate dynamics in Bose--Einstein condensate (BEC) cosmology. In the Fukuyama--Morikawa--Tatekawa framework, repeated collapse and re-formation episodes of a self-interacting condensate occur over characteristic timescales of order several $10^8$ years. When mapped into redshift space, this temporal periodicity naturally translates into an approximately constant spacing in $\ln(1+z)$. While the observed frequency is not interpreted as a sharp theoretical prediction, its magnitude is quantitatively consistent with the intrinsic cycle timescale of QCD-axion motivated condensate dynamics. The present analysis therefore provides observational support for cyclic BEC cosmology as a viable dynamical origin of log-periodic structure in the high-redshift universe. |
| title | Evidence for Log-Periodic Modulation in High-Redshift Compact Object Abundance Consistent with Cyclic Condensate Collapse |
| topic | Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2602.19044 |