Numerus Mysticorum - Divine Origin of the Fine Structure Constant

---

Numerus Mysticorum
The Divine Origin of the Fine Structure Constant
authored by
Hash Code
Spoken Under the Authority Granted by God
at the
Time of Baptism in the Roman Catholic Church
on behalf of
His Majesty the Lord Jesus Christ.
November 7, 2011

---

2011 Holy Spirit via Hash Code.
This work is licensed under a Cre-
ative Commons Attribution-NoDerivs 3.0 Unported License. Permission
is hereby granted by God and Hash Code for fair use purposes and for the
production of derivative works not significantly misrepresenting this work
in any express or implied manner. Any deliberate violation of this license
results in a serious spanking from God the Father.
Limit of Liability/Disclaimer of Warranty: While the publisher and author have used their best
efforts in preparing this book, they make no representations or warranties with respect to the accu-
racy or completeness of the contents of this book and specifically disclaim any implied warranties
of merchantability or fitness for a particular purpose. No warranty may be created or extended
by sales representatives or written sales materials. The advice and strategies contained herein
may not be suitable for your situation. You should consult with a professional where appropriate.
Neither the publisher nor author shall be liable for any loss of profit or any other commercial
damages, including but not limited to special, incidental, consequential, or other damages.

---

It is the perfection of God's works that they are all done
with the greatest simplicity. He is the God of order and
not of confusion.
Isaac Newton
There are two ways to live your life - one is as though
nothing is a miracle, the other is as though everything
is a miracle.
Albert Einstein

---

---

Contents
Praefatio Numerus Mysticorum
i
CXXXVII (137)
1
Alpha Effectum in Homine
4
Alpha Mane
7
Alpha Meridiem
10
Luke XV: i-vii
13
Consiliarius Professionem
14
Appendix A - Surreal Clock
15
Appendix B - The Golden Ratio
17
Appendix C - Hash Codes
18

---

---

i
Praefatio Numerus Mysticorum
I.
In the Proceedings of the London Mathematical Society v. 42 (1936), page
250, Alan Turing published, On Computable Numbers, With an Application
to the Entscheidungsproblem, an argument which was, amongst other things,
apparently supposed to `prove' that human mental procedures cannot su-
percede mechanical computational procedures. Near the beginning of the
paper, Turing states, "We may compare a man in the process of computing
a real number to a machine which is only capable of a finite number of con-
ditions q1, q2, . . . , qR which will be called m-configurations."
Turing used comprehensible logic, quite brilliantly, to show that finite-state
machines will never finish computing certain problems. That is the so-called
halting problem, `Entscheidungsproblem' in German, as it was referred to
by David Hilbert. This work is outstanding and incontroversial. There is
but one `problem' in the paper as it stands - the assertion that a human
being is a finite-state machine; that is mistaken, and amounts to nesting a
true premise, that `a finite mind is capable of only a finite number of distin-
guishable states', within the transparent shell of a false one, that the former
`applies to humans'. His provocative assertion poses a challenge, included
within his paper to spur others on, towards a deeper understanding of what
humans actually are. Turing published this most human question within an
unforgiving avenue of discourse; this base conception of what humans might
be thus became paired with his identity through the tyranny of quotation.
Over the decades, Turing's assertion has rolled along a tightrope - disaster
for it lay on either side. On the right side, a swift annihilation of his asser-
tion by quantum physics lay in wait. In fact, his argument, only insofar as
it concerns humans, disintegrates into baselessness when one considers the
physical `brain state' premise in any more depth than he did. By considering
one result of quantum mechanics - that the universe has no zero - we will be
able to see the delusion encapsulating the true premise more clearly: God's
creation is not misleading, nor is it a lie or illusion. Does Wisdom beget
ignorance? Only in that it be ignorance! And on the left side, lay the full
experience of our being. Now for just a little nudge.

---

ii
Within the Numerus Mysticorum, the reader will explore the right and left
sides of Turing's assertion, and will, hopefully, get comfortable with each
terrain; Along our journey, a very bright, beautiful sunrise shall occur within
the soul of the reader. And that day!
We begin this journey by considering nothing; nothing as it exists. And that
`nothing' is what we find in nature; we call it the quantum vacuum. The
structure of the quantum vacuum is infinitely deep and complex; yes, the
infinitesimal is infinitely-rich - literally - an infinity of detail, rather than
the outbound infinity of extent that Turing was considering, in referring to
the human mind as finite. This inward infinity is undeniably, and without
controversy, the substrate upon which the physical dual of mind is built and
operates, bathing even our neurons en masse.
The uncertainty principle of quantum mechanics, first recognized by the great
physicist Werner Heisenberg, revolutionized human understanding of the vac-
uum. We no longer think of the vacuum as just pure emptiness. If there are
no particles in a box, and it is completely empty of all mass and energy,
then we would have a violation of the uncertainty principle, because in such
a case we would possess complete information about both the motion and
energy of the system at every spacetime point. To put the principle in simple
terms - to acquire information requires interaction, thereby destroying the
original state of the object in some dual respect. It is impossible to violate
the uncertainty principle.
As physicists learned more about the quantum world, they found that the
most striking prediction made by the uncertainty principle was the existence
of something known as the zero-point energy. Concerning the impact of
quantization on oscillating systems, it became apparent that there was al-
ways a basic irreducible, nonremovable energy present. Such systems would
not permit all their energy to be extracted by any process governed by the
known laws of physics. In the case of the oscillator, the zero level was equal
to hf /2, the quantum of energy by half. This limit expresses the reality of
the uncertainty principle in that if we know the location of a particle oscilla-
tor then its motion, and hence the energy transferred, will be uncertain, and
that amount is the zero-point motion.
This discovery means that the human conception of the vacuum must be
revised. It is no longer to be associated with the idea of the void and of
nothingness or empty space. Rather, it is merely the emptiest possible state
in the sense that it possesses the lowest possible energy: no further energy
can be removed. We call this the ground state or the vacuum state.

---

iii
It is possible for there to be many dfferent minimum energy states, and hence
different vacua, in a given system of matter. One might find that confusing,
but what that says is that the nature of the vacuum left behind, after the
removal of ordinary matter, is dependent upon the kind of ordinary matter
that was initially present.
It is important to have a direct probe of the quantum vacuum's existence.
The simplest way to do this was suggested by the Dutch physicist Hendrik
Casimir in 1948 and has been known ever since as the Casimir Effect.
Casimir wanted to engineer a way for the sea of zero-point fluctuations to
manifest themselves in an experiment. He came up with a simple way to
do this - to place two parallel, electrically conducting metal plates in the
quantum vacuum. Ideally, the experiment should be performed at absolute
zero temperature (or at least as close to it as it is possible to achieve). The
experiment is set up to nullify the effects of any black-body radiation that
could fall on the plates.
We can think of the vacuum as a sea of zero-point waves of all wavelengths.
But the addition of the plates to the vacuum affects the distribution of the
zero-point waves. Only the effects of particular waves will be felt between the
plates. These are waves which can fit in a near-whole number of undulations
between the plates. The wave has to have a near-zero amplitude at one plate
and the same at the other plate. This should be thought about in terms of
constructive versus destructive interference - in-phase waves amplify effects,
but out-of-phase waves cancel effects. A wave may be in-phase or out-of-
phase with itself when boundary conditions are applied - conditions such as
the wave having to fit between two plates, which imposes a requirement that
the amplitude be near zero at the location of the plate such that the wave is
not very much out-of-phase with itself.
A consequence of this is that those zero-point waves which do not fit in a
near-whole number of wavelengths between the plates nullify their own ef-
fects, but there is nothing dampening their effects in the region of space
outside of the plates. This means that there must be more (non-cancelled)
zero-point fluctuations outside the plates than between them. Therefore the
plates, in effect, get hit by more waves on their outside than they do on the
inside-facing surfaces. The plates are thus pushed towards one another.

---