\begin{equation*} \begin{split} {4}^{670,000,000,000}\approx\\3.999\times{10}^{413,319,918,190}\approx\\ \end{split} \end{equation*}

The Mathematics of God

by | May 6, 2021

What would God be if we could reduce him to our human level? That is what evolutionists attempt to do. Every opinion can be subject to bias. Mathematics is, however, objective and unbiased.

Over the course of my thirty-six-year pediatric career, I’ve dealt with more than a few clinical highlights and rare conditions. Two siblings come to mind who had a very rare genetic condition called CH50 disease. This disorder results from an abnormal genetic code for complement which prevents its production. Complement is the most important part of our immune system. While antibodies capture infective agents, it is complement that actually pierces the bacterial cell wall or viral capsid covering like a drill. It is the infection-killing molecule.

Most people know about antibodies, but they don’t understand that antibodies don’t kill bacteria and viruses. They simply mark the biologic intruders. It is complement that kills by boring a hole through the bacterial membrane or wall or the viral capsid. Those with complement deficiency (CH50 disease) cannot fight infection.

There are various defects of the complement gene which all produce the same inability to kill infectious agents. The particular defect that is found in my two sibling patients is extremely rare. In one international genome database, their genetic error was present in only three of 1,304 individuals with complement disease. Complement deficiency, however, accounts for less than 1% of all immune deficiency diseases. The variant that these children have may be one in 2.5 million people.

Sickle cell anemia is another genetic disorder, but it is not rare at all. In 2017, there were 3.132 million people with the disease. Like CH50 disease, both mother and father must have a copy of the bad gene. Disease occurs when their child has two bad copies, one from each parent.

With CH50 disease, there is no working complement. With sickle cell disease, there is abnormal hemoglobin that makes the red blood cells change from a normal biconcave shape, to a sickle shape from which it is named. Defective red blood cells get hung in the small capillaries instead of sliding right through.

The defect in CH50 disease is a complicated and varied mix of gene abnormalities. Sickle cell disease however results when only one wrong amino acid occurs in an otherwise normal hemoglobin molecule. That error comes from only one wrong molecule within triplet of nucleic acids in the DNA segment that codes for hemoglobin.

When I was in medical school in the late 1970s, I remember a professor telling us that all of us carry some 70 separate, lethal genes. Most of them won’t affect us, because they require two bad copies of the gene, one from each parent.

There are, in total, more lethal genes than just 70, of course. Defective genes arise over the decades as errors accumulate from generation to generation. The very first DNA (in Adam) must be completely correct, with all subsequent errors arising and accumulating as the population grew over hundreds and hundreds of years. These fatal genetic errors are likely part of why 10–20% of pregnancies end in spontaneous abortion.

All genetic illness results from a change in the DNA, and its sensitivity to change is extraordinary. Change is always much more likely to be detrimental than good. As a whole, there is a steady deterioration in the quality of man’s DNA over time. Such change is erroneously hailed by evolutionists as the way all life today progressed from a single-celled organism. That is just not the case.

It is one thing to talk about theoretical changes, but another when you apply mathematics and statistics to it. The basic premise is that somehow amino acids arose from heated pools of ground water puddles. They somehow aggregated into the proteins necessary for a cell to not only live, but to reproduce.

There is a chicken-egg dilemma, though. Proteins arise in all biologic organisms from the master map of the amino acid order coded in DNA. DNA maps are all read by proteins created when polymerase reads the map. But polymerase is itself a protein. So the question is, which came first, the DNA or the protein?

No organisms today create previously unseen de novo DNA. No proteins arise de novo and then become new DNA code. Biologic evolution theory, from the start, requires faith in a process that is not based in science.

What if somehow the DNA and the polymerase did come into complementary being in a single cell? What are the mathematical-statistical odds of getting the DNA right all in one fell swoop? The sensitivity of DNA to error produces myriad diseases far beyond CH50 disease and sickle cell disease, so the precise sequence of DNA nucleic acids must be completely correct before evolution could even begin. Change is almost always bad.

Change in DNA is not the same as phenotypical manifestation. Phenotype is what we can see such as the tint of skin and color of eyes and hair. All animals can adapt to their environments by expressing genetic coding differently. This is not a degradation of DNA, but a difference in gene expression that is already present.

There is a simple one-celled pond amoeba that could fit the bill for such an evolutionary ancestor as proposed by evolutionists. This one has 670 billion nucleic acids in its DNA sequence, probably the longest in nature. There are other amoebas with shorter DNAs, of course, but we must consider this one a worst-case scenario occurrence if we are to consider them, anyway.

Human DNA is also only around 2.9 to 3.2 billion base pairs long, but evolutionary theory suggests then that we must have shed a majority of evolutionary unnecessary DNA as we evolved from that first one-celled organisms. That is where our calculations must begin.

Let us start by looking at the probabilities of a simple coin flip. If you flipped three quarters at the same time, the odds of all being heads or all being tails is one out of eight or 0.125. The odds of two tails and one head or vice versa with no particular order required of the coins is three out of eight or 0.375.

For each quarter, if order does not matter, then there are two possibilities (heads or tails in no particular order) so that you have all heads, all tails, two tails and one head, or one tail and two heads. The chance for three heads (or three tails) is 1/8, while two heads and a tail or two tails and a head are each 3/8.

If we decided that we wanted to know what are the possibilities of having specific quarters in a specific order either heads or tails, then the chance would be 1/8 or 0.125 for each sequence. The equation to calculate that would be thus.

\begin{equation*} \begin{align*} \frac{1}{{2\ sides}^{3\ coins}}=\\\frac{1}{{2}^{3}}=\\\frac{1}{8}=\\0.125 = \end{align*} \end{equation*}

More simply put, there are 8 unique combinations of coins.

But DNA isn’t like flipping quarters all at once. Order matters because specific triplet sequences code for a specific amino acid. Proteins are made up of amino acids, which must be connected in the correct order so that the protein is not defective. Proteins are the building blocks and enzyme machinery which are the foundation for our bodies. Instead of three ordered coins, we are talking about billions of “coins,” i.e., nucleic acid positions. The DNA/RNA triplet mapping table below demonstrates why even one miscoding error or missing DNA molecule results in a defective protein.



Instead of just heads or tails like a coin, each position in the DNA molecule can be 1 of 4 nucleic acids. For the amoeba, there are 670 billion nucleic acids in its DNA chain. From the very moment it exists, it must be absolutely correct for length and sequence in order for all cellular processes to function correctly. Otherwise everything stops and an amoeba does not exist. The odds of that happening spontaneously are 1 chance in 3.99 × 10^{413,319,918,190} as shown below. The length of this number is 413,319,918,191 digits!

This number is extremely large. I calculated it on Wolfram Alpha. You need to know also that 4^{670,000,000,000} = (4^{2,900,000,000})^{231}. This is important to know that because if you use 4^{670,000,000,000} instead, Wolfram Alpha did not return a result. It did when I used (4^{2,900,000,000})^{231}. If you go to Wolfram Alpha at https://www.wolframalpha.com you would enter that as follows: Power [Power[4,2900000000] , 231].

\begin{equation*} \begin{align*} {4}^{670,000,000,000}=\\3.999\times {10}^{413,319,918,190}=\\\\ 39\:994\:967\:421\:848\:910\:515\:830\:891\:485\:929\:873\:539\:200\\859\:478\:110\:890\:046\:870\:902\:973\:811\:397\:920\:013\:154\:264\\044\:806\:966\:368\:766\:890\:560\:334\:898\:057\:354\:957\:460\:991\\513\:009\:979\:218\:569\:129\:129\:153\:483\:557\:828\:349\:006\:800\\907\:063\:281\:876\:506\:271\:581\:554\:720\:007\:349\:513\:619\:281\\699\:834\:915\:654\:215\:605\:813\:999\:586\:134\:578\:638\:487\:562\\271\:060\:398\:541\:468\:204\:808\:466\:449\:370\:220\:154\:689\:313\\785\:035\:081\:434\:537\:109\:678\:931\:650\:139\:920\:672\:226\:961\\937\:056\:370\:747\:827\:436\:399\:579\:577\:781\:894\:369\:126\:135\\235\:359\:981\:612\:583\:174\:092\:148\:572\:812\:451\:396\:985\:949\\322\:349\:982\:431\:102\:855\:445\:850\:644\:170\:231\:780\:263\:633\\773\:563\:838\:153\:350\:354\:671\:412\:015\:814\:688\:687\:757\:112\\841\:366\:058\:246\:513\:133\:149\:198\:310\:558\:695\:664\:549\:451\\809\:175\:129\:782\:380\:919\:010\:406\:793\:851\:191\:468\:769\:106\\636\:250\:539\:681\:518\:630\:619\:043\:314\:949\:500\:544\:367\:822\\279\:572\:636\:349\:791\:238\:595\:690\:784\:888\:003\:137\:361\:102\\179\:098\:490\:441\:663\:804\:960\:541\:478\:602\:696\:942\:715\:681\\369\:118\:620\:958\:194\:379\:850\:952\:001\:014\:269\:432\:698\:697\\003\:874\:158\:995\:944\:986\:700\:364\:628\:432\:578\:820\:520\:177\\129\:985\:885\:387\:365\:616\:434\:349\:366\:446\:933\:301\:873\:657\\503\:190\:681\:971\:557\:734\:329\:146\:263\:760\:242\:892\:262\:023\\603\:324\:535\:364\:050\:902\:887\:137\:448\:125\:229\:547\:998\:486\\942\:139\:172\:417\:409\:720\:398\:399\:068\:282\:603\:135\:163 …\:\:\:\\~ followed\:by\:403,319,987,229\:more\:digits\:~\end{align*} \end{equation*}

The enormity of this number means that there is really no chance that the amoeba DNA could ever occur spontaneously under any biologic conditions, no matter how extreme. Even if you try to argue that we each only carry at least 70 or more fatal genetic errors, it will not alter these odds in any meaningful way.

Mathematically, life could not have begun spontaneously anywhere. It had to be caused by something else greater with intention and design. Like the gears of a clock, all the sprockets must be present from the beginning, or there is no tick-tock.