article

First published in russian:
Date: 1998/09/24
From: Evgenij Barsukov (evgen@camd1.kkpcr.re.kr)
Subject: Вероятность существования Бога Re:(Смысл)
Newsgroups: relcom.sci.philosophy

Let's elaborate more on spontaneous creation of something out of nothing,
based on the derivations in previous alrticle where we came to conclusion that with
zero probability of single spontaneous creation event results in P1=1-exp(-1) probability of at least one
event during infinite number of attempts.
Now, now much stuff can we create using this "spontaneous creation"? Obviously, it
is not enough to have just _one_ event if we want to describe all the multitude and complexity
of our entire universe. Let's see what what probability we have of coexistance of at least
two spontaneous events. Probability of their spontaneous occurance will be multiple
of probabilities of each separate occurances, e.g. p=1/k * 1/k where k-->0.
Substituting this single event probability into equation for cumulative
probability with N attempts:

P = (1- (1-p)^N)
and taking N as infinity (defined as N=1/k where k-->0)
we obtain

P2 = lim {k-->0} (1-(1-1/k^2)^1/k)= 0

As we can see, our "event" would be always alone in one-dimensional universe,
as chances of spontaneous creatioin of his co-existant event would be zero.
However, we now should remember that "Nothingness" includes not only absence
of any kind of objects, but also absence of any conceivable restrictions. This means that there is
no restriction also to "kinds" of events that can take place. Basically there
is infinite number of different kinds of spontaneously created events that we have
to consider.
This makes situation much more interesting, because introduction
of any new "kind" of objects has effect of adding additional dimmensions in which
we can exectute "attempts" to realize our probability p. So, if we would have 2 kinds of
events, we would have 2 dimensional tryal space, 3 kinds - 3 dimmensional, infinite number
of kinds - infinite dimmensional space.

Now, let's explore this new situation. Returning back to the probability of spontaneous
creation of 2 events simultaneously, p=1/k * 1/k and considering that we have 2 dimmensional
space, number of trials becomes N=N1*N1 . Substituting this number into

cummulative probability equation we obtain:

cummulative probabiliyt of 2 events

Now, this is remarcable - we already have 2 simultaneously existing events, that
self-created out of nothing with non-zero probabiilty (about 0.632121(...))!
What if we continue with the logic of unrestricted number
of "kinds" of events? We will be able to have non-zero probability of self-creation
of more and more events by adding more "kinds" of events.

Limit of this process is infinite number of simultaneously existing events in infinite-dimensional
tryal space. Substituting correspondent single event probability and number of tries we get:

cummulative probability ater k tries
As you can see, result does not depend on k (number of simultaneous events and number of
dimmensions) the result will always be 1-еxp(-1), which is the same number, "probability
of creation". Substituting instead of k infinity we get:

P_inf=1-exp(-1)

Now, what does this result mean? We can see that we have non-zero probability of self-creation
of INFINITELY COMPLEX (e.g. consisting of infinite number of simultanesouly existing parts)
object! This probability is equal to the "magic" number

1-exp(-1) = 0.632121(...)

But what IS this infinitely complex object? Our feeling is that the more complex is an object,
the more it is "alife", the nearer it is to us humans. For example amobae is much more
complex then molecules it consists off. The plant is more complext then stone, animal more
complex then plant. Can this increase of complexity continue to infinity? The considerations
above give positive answer to this question. Infinitely complex, which means also "infinitely
alife" object does exist with probability 0.632121(...). How will we call this object?
In thousands years of human existance people has called everything that is more complex
than themselfs "God". Obviously the infinitely complex object is the final approximation of
this increasing complexity. It become more complex than us as far as it can get - to infinity,
so it reaches the limiting definition of the one and only God. If there can be a more formal
and religiously neutral definity of God, I bet it has not been anounced yet.

So, that means we just calculated probability of God's existance??
This is curious... We have here 3 great things long sought - formal definition of God,
proof of its existance (well, with finite probability), and the probability of his existance itself!
Everything without any a-priory or subjective assumptions!

Well, some will say it is a pity that probabilty of his existance is not 1, but what the hell-
at least it is higher then 1/2!

Regards,
Ж.