A new approach to discover interlacing data structures in high-dimensional space

Ban, Tao; Zhang, Changshui; Abe, S.

doi:10.1007/s10844-008-0055-6

Cited by 2 publications

(1 citation statement)

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“…There is some literature on algorithms to get the intrinsic dimension on data structures in high-dimensional space (e.g., Refs. [27,28]), but these are not applicable to our specific problem.…”

Section: Parameterization Of Cmbr Angular Correlation Functionmentioning

confidence: 99%

Peaks in the CMBR Power Spectrum Ii: Physical Interpretation for Any Cosmological Scenario

López-Corredoira

2013

Int. J. Mod. Phys. D

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In a previous paper (part I), the mathematical properties of the cosmic microwave background radiation power spectrum which presents oscillations were discussed. Here, we discuss the physical interpretation: a power spectrum with oscillations is a rather normal characteristic expected from any fluid with clouds of overdensities that emits/absorb radiation or interact gravitationally with the photons, and with a finite range of sizes and distances for those clouds. The standard cosmological interpretation of "acoustic" peaks is just a particular case; peaks in the power spectrum might be generated in scenarios within some alternative cosmological model that have nothing to do with oscillations due to gravitational compression in a fluid.We also calculate the angular correlation function of the anisotropies from the WMAP-7yr and ACT data, in an attempt to derive the minimum number of parameters a polynomial function should have to fit it: a set of polynomial functions with a total of ≈6 free parameters, apart from the amplitude, is enough to reproduce the first two peaks. However, the standard model with six tunable free parameters also reproduces higher order peaks, giving the standard model a higher confidence. At present, while no simple function with six free parameters is found to give a fit as good as the one given by the standard cosmological model, we may consider the predictive power of the standard model beyond an instrumentalist approach (such as the Ptolemaic astronomy model of the orbits of the planets).

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Section: Parameterization Of Cmbr Angular Correlation Functionmentioning

confidence: 99%