Attempting to Extract a Shear-Failure Density From the Density Bound: A Second Negative Result

Several problems in crust physics would be simplified if the torsion framework behind the Aldred density bound also supplied a shear bound, a stress or density at which crustal failure is guaranteed. This study attempts the extraction in the two most natural ways and reports the outcome. Anchoring the crust's shear modulus to its computed density scaling, the density at which the yield stress would reach the framework's stress scale is 9.9e+62 kg per cubic metre, which is 46 orders of magnitude above the crust base and only a factor of 9.8e-06 below the density bound itself, a regime where no crust exists. The energy-density route gives the same verdict. No shear-failure density exists within any star, and the framework therefore does not supply the quantity: that negative result is the paper's finding, stated plainly. Crustal failure densities and stresses must be taken from the Coulomb lattice, as the companion shear analysis does. This study is simulated and computed from stated assumptions; it is not a measurement.