The Angular Dual-Time Spacetime Paradigm: Evidence from Zero-Parameter Turbulence and a Binary Crucial Test

The description of time in modern physics has been built almost exclusively around translational motion, leaving rotational dynamics in an asymmetric position within the standard single-time framework. This work presents an operational definition of angular time τ as an independent temporal dimension within the angular displacement spacetime framework φ(τ) [1], and provides two complementary lines of investigation.First, a ‌zero-parameter‌ turbulent scaling law, derived solely from the intrinsic 2π periodicity of τ, reproduces all high-precision, high–Reynolds-number DNS data up to order p=9 with absolute errors below 0.0107. This is one of the first scaling law for turbulent intermittency that requires no adjustable parameters [2,3]. The agreement provides an indirect consistency check for the φ(τ) hypothesis, rather than definitive experimental proof for the physical reality of τ.Second, a binary crucial experiment under the zero-area limit (r=0) is proposed: at the rotation center, where both special and general relativity predict zero frequency shift, the φ(τ) framework predicts a non-zero shift proportional to ω². This geometric test draws upon existing clock‑comparison technology for its feasibility, though it has not yet been implemented in laboratory measurements, and provides an unambiguous falsification pathway.This work does not contradict established relativity; rather, it introduces a complementary geometric framework for rotational dynamics that yields falsifiable experimental predictions, and may provide a conceptual bridge between the continuum spacetime of relativity and the discrete nature of quantum mechanics.