Magnetospheric Plasma Densities Against the Aldred Limit: A Negative Result Spanning Forty Orders of Magnitude

This paper computes magnetospheric plasma densities against the aldred limit from stated published inputs, using algebraic relations whose every step is deposited as executable code. Across the cases computed, ratio to neutron branch spans 8.60e-80 to 2.75e-72. The first case gives regime Solar wind at 1 AU; number density cm3 5; mass density g cm3 8.36e-24; ratio to electron branch 2.91e-72; ratio to neutron branch 8.60e-79. The last case gives regime Ionosphere F peak (Earth); number density cm3 1.00e+06; mass density g cm3 2.68e-17; ratio to electron branch 9.32e-66; ratio to neutron branch 2.75e-72. The calculations are simulated and computed from the stated assumptions; they are not measurements. Where a comparison against the Aldred Limit density bound is made, the bound values used are 9.72e54 g per cubic centimetre for a neutron carrier and 2.87e48 g per cubic centimetre for an electron carrier, and the size of any separation found is reported plainly, including where the result is that the bound does not constrain the magnetospheric quantity in question.