Internal-Time (τ) Reparameterization as a Replication-First Verification Protocol for Anthropogenic Climate Change

Persistent public and policy controversy over contemporary climate change is sustained in part by how evidence is narrated in external calendar time t, where short windows are vulnerable to internal variability, coverage artifacts, and multi-reservoir energy storage, especially ocean uptake. Building on Abdulsalam Al-Mayahi’s internal-time framework, in which physical evolution is parameterized by an intrinsic coordinate τ and laboratory time is a derived readout linked through a clock-rate field chi = dt/dτ, this paper introduces a replication-first tau-Verification Protocol (tau-VP) that uses only established public datasets and assessment-grade synthesis. The protocol defines operational climate internal times from (i) cumulative CO₂ emissions (tau_C), (ii) forcing exposure (tau_F), and (iii) energy accumulation (tau_E) using ocean heat content (OHC), and specifies falsifiable success criteria: reduced cross-product dispersion when trajectories are expressed in τ, strengthened invariance of warming versus cumulative emissions and forcing, and consistency with IPCC AR6 detection-and-attribution conclusions. In an executed replication over 1970–2024, tau_C yields a modest but measurable improvement in dispersion and linearity relative to t-based framing. The decisive test is tau_E: the observational OHC record rises approximately monotonically with high statistical significance and is tightly coupled to cumulative CO₂, demonstrating persistent internal accumulation of Earth’s energy imbalance that is incompatible with illusion narratives based on selective calendar windows. In Kuhnian terms, τ functions as a map change that reclassifies pause narratives, apparent reversals, and windowed skepticism as coordinate artifacts rather than counterevidence, shifting the dispute from storytelling to executable falsification. The tau-VP is itself falsifiable: if expanded multi-product analyses fail to improve invariance, especially across major OHC products, the internal-time claim fails for climate; if it succeeds, the remaining question is not whether warming is occurring, but how rapidly the internal trajectory approaches actionable risk thresholds. Replication is enabled by restricting inputs to public datasets and by providing operational definitions and test criteria that can be independently re-executed.