The Smallest Structure at the Limit: A Jeans Length for the Bounce Era

At the Aldred Limit, pressure and gravity balance on a definite scale, the Jeans length, and no smaller self-gravitating structure can form or survive the bounce era. With the relativistic sound speed c over root 3 at the bound density, the Jeans length is 0.00 m and the corresponding Jeans mass is 2.813e+11 kg. The minimum-size patch of the observable universe, 0.0 m in radius, contains 5.333e+41 such Jeans volumes. The Jeans mass is the smallest unit of structure the bounce can hand to the subsequent expansion as a coherent lump: anything smaller is pressure-supported and disperses, anything larger can in principle persist. These figures convert the bounce from a single event into a granular one, with a definite grain size, and they bound from below the mass of any primordial object whose origin is claimed to lie in the bounce itself. Computed from stated assumptions, not measured.