Signatures of Scale-Dependent Centrifugal Shear

In the Unified Tav-Superblock Cosmology, rotational flattening of the 5D geometry is modulated by the scale-dependent domain coupling coefficient \(\kappa(r)\). On small scales (high \(\kappa\)), rotational stress-energy is offloaded into the hidden domains via conformal channels, **suppressing** the effective centrifugal flattening observed in the Prime Domain.

As the cosmic scale grows past the exhaustion threshold (\(\tau_0 \approx 7 h^{-1}\) Mpc), \(\kappa\) drops and the system transitions toward standard rotational general-relativistic behavior.

Key Predictions:

• Reduced oblateness on galactic scales (rotational energy partially offloaded)
• Transition in flattening behavior around group/cluster scales (~few Mpc)
• Recovery of more standard rotational effects on cosmological scales