Absorber Line Density per Unit Redshift in the Forest: Evolution Rate and Bounce Path-Length Correction

This study asks how fast absorber line density grows with redshift once path length is handled properly, and whether a bounce changes that accounting. Using published Lyman-alpha forest measurements as stated inputs, and a bounce frame in which the early universe turned around at a density of 9.72 x 10^54 grams per cubic centimetre, the relevant quantities are computed directly and compared with the precision of the data. The headline outcome is as follows: evolution_index_gamma = 2.873; result = line density evolves steeply; bounce path correction negligible (negative). The fitted evolution index is close to 2. All values are computed from the stated assumptions, not measured, and the computation is supplied so that every number can be reproduced.