a personal journey to natural theology
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A commentary on the Summa
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Table of
contents
Introduction
If we assume that the universe
is divine, physics is the study of God's body. The body is the most
abstract, that is the least complex, of the layers of complexity in
the structure of the universe. Physics sets the stage by providing
the alphabet for all other levels of complexity. back
page 1:
Action and Time
Following our method, we begin
to construct a map between our model and the real world. We begin
with physics because it studies the simplest elements of the world.
The first point of contact between our model and physics is the
identification of action with computation, Drawing on quantum theory,
we identify the time rate of action with energy. back
page 2
Why is the universe
quantized?
Quantum mechanics sees the world
as comprising discrete observable physical events controlled by
invisible and continuous state functions which explain the nature and
frequency of observed events. In the network model, the mathematical
theory of communication explains quantization by showing that we can
minimize error by maximizing the distance between different messages.
Quantization is thus a feature of error resistant
communication.
page
3: The initial
singularity
The large scale structure of the
universe is described by the general theory of relativity which
predicts that the present universe expanded from an initial
dimensionless point. In the network model, we interpret gravitation
as a manifestation of the hardware layer of the universal network.
Following an analogy with the theology of the Trinity, we propose a
model for the growth of the universal network. back
page
4: Quantum mechanics
Quantum mechanics is the modern
working model of the physical universe. It sees the world as
comprising observable physical events and an unobservable logical
structures, state functions, which control (to some degree) the
nature and frequency of events. The quantum mechanical formalism is
invariant with respect to complexity and can apply to any layer in
the transfinite network. From an information theoretic point of view,
quantum mechanical systems can be viewed as message sources.
back
page 5:
Hilbert spaces and the symmetric
network
We have proposed a transfinite
symmetric network as a phase space for the universe. Transfinite
network Here we place this network
into correspondence with the transfinite dimensional Hilbert space
which houses the 'wave function of the universe' and show how quantum
mechanics serves as a method to compute the traffic between nodes of
the transfinite network. back
page 6:
Invariance with respect to
complexity
Cantor generated the transfinite
cardinal numbers (and their associated ordinals) through an
invariance law which operates identically no matter what the cardinal
number of the set upon which it operates. We call this feature
invariance with respect to complexity
and see that it is a feature of
quantum mechanics also. Since quantum theory operates indifferently
at al levels of complexity it provides a bridge between the unity and
multiplicity of the universe. back
page 7:
Entanglement
When quantum systems communicate
they become entangled.
so that they share a state which
cannot be represented as a product of the component states. This loss
of independence is manifested in quantum correlations which are
observed even when entangled particles are moved a long way apart.
Classical probability theory cannot explain this correlation, which
is an intrinsic feature of the quantum mechanical method of computing
probabilities. back
page 8:
Energy
The classical God is eternal,
existing all at once outside time. The universe, on the other hand,
clearly has both a history and a future and an energy driven process
joining them which we may call the present. Here we explore how
quantum mechanics conceives energy and see it as an essential
component of any system open to communication back
page 9: Fixed
points
If the foundation of the
universe is pure energy, that is pure motion, how does space and
memory come to be? Mathematical 'fixed point' theorems show that
under certain conditions every motion has one or more fixed points,
like the extreme points of the motion of a pendulum. Such fixed
points are observable, since they do not change, and enable us to
describe motion with fixed expressions like differential equations or
ordinary sentences. . back
page 10:
Bosons and fermions
Given a bundle of energy which
obeys the hypotheses of a fixed point theorem we expect to find fixed
points. The most obvious fixed point in the universe is the initial
singularity. It has bifurcated many times since then. Here we propose
the division of particles into fermions and bosons as the first
bifurcation. back
page
11: Quantum oscillator
The periodic functions of
quantum mechanics specify many fixed points which might serve s the
alphabet for a universe. Here we discuss generally how a quantum
system confined in a potential well develops fixed points like the
energy levels of an atom or the quantized exchange of energy in the
quantum harmonic oscillator. back
page
12: Quantum field theory
The first theory of interactions
between fermions and bosons to be worked out in detail was between
charged particles and photons, quantum electrodynamics. The success
of quantum electrodynamics has led to the application of similar
methods to understanding all the other fundamental interactions in
the universe. Art present, gravitation remains outside this
synthesis. back
page 13:
Transfinite oscillator
Since we are striving for a
theological level of generality, we now describe the transfinite
oscillator which we see as a formal representation of the dynamics of
a transfinite network. The transfinite oscillator moves between the
layers of the transfinite network, creating and annihilating systems
at all scales. It generalizes the ideas of quantum field
theory.back
page 14:
Gravitation
General relativity describes a
dynamic universe growing under the gravitational influence of a
primordial fixed point known as the initial singularity. The
interactions of relativity may be carried by spin two particles known
as gravitons. To complete our survey of physics, we explore the
relationship between gravitons and the overall structure of the
universe and propose an extension of Einstein's notion of general
covariance beyond physics into theology. . back
(revised 21 April 2008)
Links
| Eric M Eisel "In the Beginning was the Word...": The Question of the Origin of Language in Goethe's Faust Goethe, Faust (contemplating translation of John's Gospel): 'Tis written: "In the beginning was the Word!" Here now I'm balked! Who'll put me in accord? It is impossible, the Word so high to prize, I must translate it otherwise If I am rightly by the Spirit taught. 'Tis written: In the beginning was the Thought! Consider well that line, the first you see, That your pen may not write too hastily! Is it then Thought that works, creative, hour by hour? Thus should it stand: In the beginning was the Power! Yet even while I write this word, I falter, For something warns me, this too I shall alter. The Spirit's helping me! I see now what I need And write assured: In the beginning was the Deed!' back |
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