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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.19729311 |
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Table of Contents:
- <p>Multi-probe inference in cosmology is typically framed as a statistical comparison between parameter estimates. This paper develops a deeper, structural interpretation based on information geometry. Independent observational pipelines induce distinct Fisher-metric geometries over a shared latent parameter space. When these geometries are misaligned, the combined inference becomes ill-conditioned, and derived scalar parameters exhibit projection-dependent instability. We formalize a geometric consistency criterion based on eigenstructure alignment, conditioning behavior, and projection stability. Applying this framework to the Hubble tension, we show that the discrepancy between early-universe (CMB) and late-universe (distance-ladder) constraints corresponds to a regime of geometric incompatibility rather than a simple numerical disagreement. The resulting instability explains why small perturbations in calibration or model assumptions can produce large excursions in inferred values of H_0. This structural perspective reframes the Hubble tension as a failure of joint geometric embedding.</p>