Spacetime as a Consistency Ledger: A Reparameterization-Invariant Cumulative Record Functional ("Hanák's Invariant") and Its Empirical Proxies
Abstract
This preprint introduces a reparameterization-invariant cumulative bookkeeping functional (“Hanák’s invariant”) motivated by a consistency-ledger perspective on spacetime. The work focuses on the mathematical construction of the invariant, its coordinate stability, and a set of falsifiable empirical diagnostics using late-universe data proxies. It does not propose a new dynamical model of dark energy and should be read as a methodological and phenomenological contribution. Numerical templates and diagnostics are provided, with values to be populated in subsequent versions.
Fields of Study & Subjects
Cosmology and Gravitation Theories
Relativity and Gravitational Theory
Noncommutative and Quantum Gravity Theories
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 9 February 2026
- Language
- EN
- Document type
- Preprint