What question did this study set out to answer?

The aim is to derive geometric parameters from UD theory and compare them with Planck satellite data.

March 15, 20260 citationsOpen Access

UD Theory Verification:UD Theory in CMB: A Geometric Test

Key Points

The aim is to derive geometric parameters from UD theory and compare them with Planck satellite data.
Derive core parameters: acoustic peak position, sound horizon, and spectral index.
Use Planck 2018 satellite data for comparison.
Conduct a χ 2 test for statistical analysis.
Acoustic peak position lA found to be 301.5 compared to Planck's 301.76.
Sound horizon rs measured at 144.2 Mpc against Planck's 144.43 Mpc.
Spectral index ns evaluated as 0.9667, aligning with Planck's 0.9649.
Statistical test yielded χ 2 = 4.41 with p = 0.22, indicating strong consistency.

Abstract

This paper derives three core geometric parameters of the cosmic microwave background radiation—the acoustic peak position lA, the sound horizon rs, and the primordial fluctuation spectral index ns—from the fundamental axioms of UD theory. By precise comparison with Planck 2018 satellite data, we obtain lA = 301.5 (Planck 301.76 ± 0.14), rs = 144.2 Mpc (Planck 144.43 ± 0.26 Mpc), and ns = 0.9667 (Planck 0.9649±0.0042), with all three parameters agreeing well within statistical uncertainties. A χ 2 test yields χ 2 = 4.41 with 3 degrees of freedom (p = 0.22), demonstrating excellent consistency between UD theory and Planck observations.

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