What does this research mean for the field?

The Ramanujan-Bose Interval Cosmology (RBIC) framework is observationally viable, accounting for 73.4% of the observed Hubble tension and predicting an S8 parameter consistent with weak-lensing constraints, while constraining the BRB running coupling to α0 < 0.003. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

This research aims to evaluate the Ramanujan-Bose Interval Cosmology framework using observational data for cosmological parameter estimation.

March 24, 2026Open Access

Observational Constraints on Ramanujan–Bose Interval Cosmology: Full MCMC Analysis with Pantheon+, DESI DR1/DR2, Planck, and Growth Rate Data

Q: What question did this study set out to answer?

This research aims to evaluate the Ramanujan-Bose Interval Cosmology framework using observational data for cosmological parameter estimation.

Key Points

This research aims to evaluate the Ramanujan-Bose Interval Cosmology framework using observational data for cosmological parameter estimation.
Conducted a full Markov chain Monte Carlo analysis using observed Type Ia supernovae and cosmic datasets.
Utilized data from the Pantheon+ compilation, DESI, and Planck to improve parameter constraints.
Calculated joint posteriors for parameters including H0, Ωm, and Mratio.
Constrained the running coupling α0 to be less than 0.003 at 95% confidence.
Established a lower limit for Mratio at 340 at 95% confidence level.
Observations confirm that 73.4% of the Hubble tension can be attributed to specified cosmological contributions.

Abstract

We present a comprehensive observational confrontation of the Ramanujan–BoseInterval Cosmology (RBIC) framework using full Markov chain Monte Carlo (MCMC) analysis. Our dataset comprises 1624 Type Ia supernovae from thePantheon+SH0ES compilation with the complete 1701 × 1701 statistical plussystematic covariance matrix, 13 BAO measurements from DESI DR1, updatedconstraints from DESI DR2 1, 3 Planck 2018 CMB distance priors, and 18independent fσ8 growth rate measurements—yielding N = 1658 real datapoints with zero mock data. Wepromotethe condensate mass ratio Mratio ≡ M∗/ℏH0 fromafixedparameterto a free MCMCparameter, obtaining joint posteriors on H0, Ωm, α0, Mratio. The BRB running coupling is constrained to α0 340 at 95% CL, directly confirming the theoreticalexpectation M∗/ℏH0 ≫ 200 from first principles. The Paper 2/3 fiducial valueα0 =0. 019 is excluded at 7. 3σ by the full covariance analysis. The RBICframeworksurvives: gravity decoupling (497. 6 km2 s−2 Mpc−2, 62. 4%), the geometric interval term (74. 2 km2 s−2 Mpc−2, 9. 3%), and the BRB contribution (13. 6 km2s−2Mpc−2, 1. 7%) account for 73. 4% of the observed Hubbletension. The growth rate data yields S8 = 0. 791 ± 0. 018, a 0. 8% suppression relative to ΛCDM, consistent with KiDS/DES weak-lensing constraints andproviding the first RBIC prediction of the S8 parameter. Real CANDELS galaxy size evolution data 2 confirm βmw = 0. 728 andBuchert vorticity 7. 8 km2 s−2 Mpc−2. All falsifiable predictions remain valid; theweff (z = 0. 5) bifurcation between Path A (−0. 97) and Path B (−0. 999) willbe resolved by DESI Year-3.

Observational Constraints on Ramanujan–Bose Interval Cosmology: Full MCMC Analysis with Pantheon+, DESI DR1/DR2, Planck, and Growth Rate Data

Key Points

Abstract

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