Really, that would be amazing if you could point out an error of a PhD from MIT.
It would be a lot easier to go after a Harvard professor, than MIT.
Well lets look at his calculations.
From your link.
The most common non-linear relationship in the universe: A = Aₒexp(-Lt) defines the relationship between the earth view of time and the Biblical view of time
Where e is the natural base = 2.71827
A = earth time in number of days
Aₒ = the instantaneous ratio of the threshold rest energy of a proton {the proton is the first stable form of matter following the big bang creation of the universe that defines the element} to the current energy of space corrected for the increase in the rate of expansion of space. The units are as temperatures; and as a ratio of temperatures, the units of temperature cancel. The significance of A0 is that it equals the number of earth days that would be initially, instantaneously, compressed into the biblical perspective of time at the instant the energy level of the universe passed the threshold rest energy of a proton. As the universe expands and cools, the value of this ratio changes.
L = natural log of 2 {usually referred to as ln2} = 0.693 divided by the half period;
Half period = t1/2 = one Genesis day
t = time in Genesis days and goes from 0 to 5.5 days; each day 24 hours duration; 5.5 and not 6 because Adam receives the human soul – the neshama – half way through the 6th day. In the calculation, the difference between using 5.5 or 6 is minute.}
Integrate A = Aₒexp(-Lt) with t going from 0 to 5.5 days
Integral ∫A = Integral ∫Aₒexp(-Lt) = (-Aₒ/L)exp(-Lt)
Note that the units of the right side of the integrated equation is days
Integral ∫A = -((10.9 x10¹² /3) x ( 1 day/0.693))exp(-0.693 t) /1 day| with t going from 0 to 5.5 days
Integral ∫A = 5.12 x10¹² days = 14 x 10⁹ years
Two views of one reality from two vastly different perspectives
The equation A = Aₒexp(-Lt) apart from being pulled out of thin air without derivation has the highly questionable constant Aₒ (
Aₒ = the instantaneous ratio of the threshold rest energy of a proton {the proton is the first stable form of matter following the big bang creation of the universe that defines the element} to the current energy of space corrected for the increase in the rate of expansion of space.)
Why use the rest energy of the proton?
Common consensus amongst cosmologists and particle physicists the first stable form of matter formed before protons were magnetic monopoles.
The rest mass of magnetic monopoles is a staggering 10¹⁷ X more massive than a proton hence if Aₒ used the monopole mass, Schroeder's calculations would be blown out of the water (not that the equation makes any sense).
While magnetic monopoles are hypothetical they are believed to still exist in our universe.
We can thank inflationary expansion of the universe for our existence as monopoles would have caused the early universe to collapse under gravity.
The reason why magnetic monopoles have not been detected is attributed to the expansion of the universe as explained in this
post.
Here is a video on magnetic monopoles.
On a different subject the light curves of type 1A supernovae destroys Schroeder's argument and highlights why his equation doesn't make any sense.
The light curve or how the brightness of the supernova changes with time is found to be stretched by the factor (1+z) where z is the redshift of the parent galaxy where the supernova occurred and is not based on his exponential function.
What this means is when you remove the effects of expansion, the time scale is exactly the same in the observer's frame of reference as it is in the supernova's frame of reference for any redshift z.
This invariance is an example of
proper time τ and should not be confused with coordinate time t used in special relativity.