Lovecraftian
Psycho-Physical Magick
There are two primary forms of magick in Lovecraft. The first involves
the Dreamlands and is essentially identical to the traditional arts
of scrying and astral projection. This is the specialist field of
the modern day Esoteric Order of Dagon. The second involves the evocation
of the Old Ones and the opening of Portals. The two are of course
entwined. HPL's evocation system is part traditional part novel, the
latter element including a strange merger of magick and contemporary
physics. This page will explore that aspect.
Lovecraft on Cosmology
HPL never explains his cosmology but makes continual though brief
reference to it. The earliest is in talk of the infamous non-Euclidean
geometry in the Call of Cthulhu and related stories from the 1920s
onwards. This is a clear reference to the Space-Time of Einstein's
Relativity Theory which only works in this mode of geometry. It reflects
the 'alienness' of reality for HPL and the illusory nature of conventional
human views of the world. It is used in the first Cthulhu story to
describe 'anomalies' in elliptical non-Euclidean space, one character
is swallowed up by an acutely angled corner that acts as if it is
obtuse for example. This can be seen as equivalent to a wormhole,
and perhaps shines light on the Cthulhu Spawn's means of transportation!
This form of elliptical geometry also matches HPL's comments that
our cosmos is 'globular'. He goes on to say, in Whisperer in the Dark,
that it is a mere atom in a super-cosmos beyond which is something
'infinite and horrific' rather than the 'cosmic harmony' expected
by naive Pythagoreans and Platonists. This could be regarded as a
model based on a series of worlds linked through 'hyperspace', in
'a juxtaposition of dimensions', much like the cosmic chain of worlds
of the Theosophists (who HPL regarded as nutcases and charlatans with
one or two good ideas!). The use of the non-scientific Theosophical
term cosmic 'planes', in the Dunwich Horror, would seem to confirm
this, and demonstrate HPL's more scientific take on it. Alternatively,
or perhaps additionally, it could refer to our Universe in Hyper-Inflation
Theory, which consists of an ugly conglomerate of Space-Time globules
- crystalising out of an explosively and chaotically expanding early
universe - regions with variant laws and constants, of which our cosmos
is but one, unable to interact with their bizarre sibling globules
(its image being rather like that of Yog Sothoth's multi-globular
form, rather than the symmetrical spheres or 'doughnuts' of conventional
uniform Inflation Theory). This view is supported in the Thing on
the Doorstep story where 'complex angles' are the way 'leading through
invisible walls to other regions of Time-Space'.
Lovecraft continues this theme but later plays it down, referring
to it as the 'Curved Space' of our material world in which ordinary
lifeforms dwell. By the 1930s however he has an even more horrific
vision, 'Angular Space'. The super-cosmos is made of 'curves, angles,
matter and semi-matter' according to HPL. Angular Space is seen as
something totally alien and beyond even the weird reality of our cosmos,
a chaotic realm of semi-matter, second only in irrationality to the
domain of the insane deity Azathoth, 'beyond angled space'. Normal
life can't exist here and it is the realm of monsters and the terrible
Hounds of Tindalos, who dwell between its angles, haunting the corridors
of time and space. The bizarre angles of architecture refered to in
Dreams of the Witch House are physical correlates of this geometry,
said to open up portals to other worlds, just as the non-Euclidean
angles of R'lyeh were earlier said to, and the pentagonal structures
of the Elder Thing's city probably also did. Its identity is revealed
in the Witch House, where the debates of Einstein and Heisenberg are
refered to. Angled Space is simply the Space-Time of the Quantum Realm,
the deeper chaotic reality beyond even Einstein, where matter is not
quite real and normal Physics breaks down. In the mathematics of Quantum
Mechanics, just like everything else, Space-Time is non-continuous,
and doesn't curve like an elastic sheet, but rather is discontinous
and quantasised, at root a sea of Space-Time 'bits' (sometimed called
Geons) that come together in various temporary arrangements to form
our curvi-linear Space-Time. While in local microscopic areas it can
disintegrate into a seething foam of superpositional Geon particles
in the Void. If these Geons were seen as something akin to subatomic
versions of the polyhedral Platonic Solids, their combination would
indeed be angular at this scale, and only 'curvy' on a much greater
scale (though the apparent shift from Euclidean to non-Euclidean geometry
would need explanation).
Also interesting here is Lovecraft's solution to the biggest problem
in Modern Physics, the incompatability of Relativity and Quantum Theory,
not just through using the metaphor of a quantasised Space-Time, but
by also suggesting that the realm of Azithoth is not only 'beyond
angled space', i.e. in hyperspace, but that this realm is identical
to the most chaotic state in QM where Space-Time breaks down into
a seething foam (the 'nuclear chaos' of the horrific Azathoth being
a reference to subatomic chaos, and not nuclear energy which was unknown
in HPL's time).Thus hyperspace and absolute quantum potentia are one
and the same. Interestingly modern theory suggests that in this model
the Cosmos may arise from Nothing, as if Geons have their own polarity
symmetry, like other particles and anti-particles, then all the components
just fall out of a chaotic soup of equilibralised binary scalar potential
which is mutually negating and so apriory 'nonexistant'. Though this
can only be the case if Hyper-Inflation applies, and the micro fluctuations
that emerge spontaneously from the Void can proliferate rapidly in
the initial phase of the Big Bang. Thus the complex multilobed Yog
Sothic universe must also exist. HPL now seems amazingly before his
time as far as theoretical Physics goes!
Physics
or Magick?
So far this is a possibly thesis within fairly orthodox Physics. However
Lovecraft went beyond this far into the realm of pure speculation
when he combined this view with magick. In Dreams of the Witch House
much is made of the idea that certain physical angles (both architectural
and symbolic) can be used to open portals to other worlds (with appropriate
incantations to activate them). An analysis of the actual angles of
the Witch House indicate that they may have been composed of pentagonal
geometry (72 degrees / 108 degrees).
In
this house entities were said to emanate in a purple mist from the
upper right corner. The pentagram in magick, as shown, is the symbol
and tool of evocation. It was originally called the 'five angle' and
represented the five gateways to Tartarus, the underworld 'prison'
for the Titans, Giants and the Hundred Handed Ones built by Chronos
in Greek mythology. Its inversion is used to banish unwanted manifestations,
and is preserved in this mythos as one form of the Elder Sign. Curiously
HPL said the Elder Thing's cities had pentagonal designs too and that
they invented signs to ward off hostile entities like the Deep Ones.
So what does this magical symbolism have to do with the Physics mentioned
earlier?
A
Hyperdimensional Physics?
One odd feature of pentagramic geometry is something Roger Penrose
has called Penrose Tiling. Basically tiles of different shapes can
cover a plane in different ways, the simplest being the conventional
square tiles of domestic architecture. But only certain shapes can
do so without leaving gaps. Mathematicians have spent much time calculating
all the possible shapes that can do this. These tiles usually make
symmetrical patterns in the process, and the normal symmetries for
this are three-fold (triangles), six-fold (heptagons) etc. In the
real world of three dimensions the same thing applies, and these normal
symmetries correspond to the Platonic Solids, that can fill, or 'tile',
a three dimensional space without leaving gaps. Examples of this kind
of geometry are reflected in Nature as crystals with various lattice
configurations. Penrose Tiles include kite shaped forms based on the
geometry of the pentagon. The odd thing about them is that they can
tile a plane but in a far more complicated way than ordinary tiles,
in that the symmetry they produce is non-periodic and 'irregular'.
This can best be seen in a diagram of one form of it:
Note the interesting crypto-dynamics of the pattern produced as an
effect of the unusual 'five-fold' symmetry of the tiling on the brain.
The impossible 'non-Euclidean' geometries of the Escher paradox drawings
are also sometimes based on this effect. It gives the impression of
other dimensions emerging from the plane, and this as we shall discover
is the key to it. Before Penrose discovered this kind of tiling it
was said to be impossible to produce gapless tiling with five-fold
symmetry due to the nature of geometric space (only special numbered
symmetries being possible in this respect). Just as there was no such
thing as a Platonic Solid with five-fold symmetry due to the three
dimensionality of normal space. But Penrose demonstrated this was
wrong, and did so by using formuli that modeled in more than three
dimensions. In fact Penrose tiling can only be mathematically generated
by assuming a fourth dimension of space (or a fifth dimension when
time is included). This was initially held to be an abstract curiosity
with no relevance to actual reality, until the mid 1970s when 'quasi-crystals'
were discovered. Crystals whose lattice structure demonstrated 'impossible'
five-fold symmetry. The consequences of which are still highly controversial
and under intense debate. One extreme consequence is that the crystals
exist in more than the normal four dimensions of Space-Time, but few
are prepared to accept this (an unusual folding and sharing of atoms
is normally suggested to avoid this, and appears to be true in some
cases). A less extreme consequence, but one no less startling, is
that the individual atoms that make up the crystal must 'know' where
they are supposed to go! This is because in normal crystals the regular
periodicity of the lattice allows a simple alternating pattern, with
atoms forming the crystal arriving one at a time and positioning themselves
in relation to the atom of the crystal at the point where thay 'latch
on'. But with quasi-crystals this linear Newtonian theory is not possible,
as each atom has to instantly orientate itself in relation to distant
atoms, and to some extent in relation to the crystal as a whole, in
theory even if that crystal is a light year across! Penrose himself
argues that this could only happen if the system is operating quantum
mechanically and that the forming crystal is in superposition (consisting
of every possible configuration at same the time with each atom entangled
with the other), with each atom 'knowing' where to go, in the same
sence photons 'know' where to go when let through the famous double
slit interference experiment one at a time. He argues that this superposition
collapses into its manifest form when the crystal grows to a non quantum
size. This in itself is controversial and the argument here has obscured
the more extreme hyperdimensional interpretation of the crystals.
This is explained very concisely here - http://goldennumber.net/penrose.htm
Relating this back to the Lovecraftian Physics above it is easy to
imagine that the Geons of Space-Time could have the form of 3D Penrose
Tiles. If so Time-Space may in fact have at least five dimensions
and the Tiles then be 4D Non-Platonic Solids. This might also be cause
of the emergence of non-Euclidean curvatures on a macroscopic scales
from such 4D angular tiling on the microscopic scale.
Architecture based on this geometry might be said to somehow uniquely
align itself to the true geometry of Space-Time, along with its higher
dimensions. It thus could be said (with a considerable, but not impossible,
stretch of the imagination!) to also be aligning itself in some way
with other dimensions, and generating some form of resonance that
brings them into play within our 'normally' 3D reality. It could have
been this novel thesis which HPL intuited in his bizarre synthesis
of QM, architecture and magick. It certainly seems plausible, if only
just! The proof of the pudding is in the eating of course, and all
magicians know that such geometry really does evoke. Further indications that something like this may have been in the mind of HPL is his use of the Shining Trapezohedron as a window into the realm of the Old Ones.
There are 8 main forms of Trapezohedron, one of which is the Pentagonal Trapezohedron, more familiar as the 10 sided dice used in some games. The faces of which are 2D Penrose Tiles. This pentagonal geometry could be unique to our Cosmos, like other constants, with other universes having other geometries, a useful navigational feature.
However even if this incredible conjecture were true there would have
to be more to it than this. Lovecraft suggests that a psychological
factors (including visualisations, incantations and energetic unconscious
processes) play a role angular portal generation and use, particularly as regards to activation and navigation, and that
this works to some extent even in symbolic representations of the
angles (as in glyphs carved on walls or floors). This seems to take
us firmly back into the realm of magick rather than science. But even
here a psycho-physical explanation is possible. But this will require
a brief look at a century of conceptual analysis in Quantum Mechanics!
The Current Philosophical State of Quantum Mechanics
There are basically two incompatable ways to understand QM. One in
which a mathematical probability 'wave function' - representing two,
or more, mutually exclusive states existing simultaneously in 'superposition'
- 'collapses' leading to 'ordinary reality' where only one state 'exists',
and another thesis in which the wave function does not collapse, so
the superposition remains, but we only become aware of one state.
The decisive factor in both cases is experimental measurement. Both
views face enormous conceptual problems. In thesis one the mysterious
process idly refered to with the handy soundbite 'wavefunction collapse'
is entirely mysterious, and seems to imply an unheard of change in
a fundamental law of nature, under the direction of an unchanging
even more fundamental law! This is so totally unlike anything else
we have ever experienced, or even concieved of, that it is perhaps
totally incomprehensible and unknowable. Such a novel process would
involve some new (meta)physical force, a unique influence on matter,
and the laws of nature themselves, found nowhere else, or the uncharacteristic
behaviour of a familiar force, neither of these have high probability
weightings at present. This has led many to argue that the wavefunction
just is and never goes away, much like the formula for the
area of a circle, an irreducible mathematical description of reality
requiring no further explanation. The most popular version of this
position is the Many Worlds multiverse concept. Where the wave function
describes a Multiverse with several Space-Time branches (effectively
parallel universes) one of which we enter after a measurement is made.
The wavefunction thus applies as we approach a branching, but not
after we enter it, even though it never actually collapses or changes
at all. The big problem with this is that quantum events are reversible
even after branching, and the two alternative realities can in theory
still interact because the wavefunction still applies. But how can
two branches, essentially two distinct Space-Time continuums seperating
out actually interact, or even achieve Space-Time conjunction,
when in disjunction? No cross world interaction seems possible
in this model. Moreover if the branches consist of complete continuums,
meaning the totality of all possible dimensionality, what dimension
are they branching into exactly!? We can invoke 'hyperspace' for this
role, but this may us further problems of a runaway infinity of nested
hyperspaces (which is also a problem for Relativity). This leads to
ideas of parallel 'ghost' states in a single universe, rather than
several disconnected worlds in a partioned multiverse, but what these
are and how they interact, or stop interacting, is totally mysterious.
These conceptual problems may not be insurmountable but they are serious
problems, and we cannot wiggle out of them by rejecting rational solutions
like religious nutters.
The long held belief that Quantum Mechanics is applicable only at
the microscopic level and does not apply at the macroscopic level
has been seen by many as the clue to the mystery. The obvious thing
to do being to identify the difference between the two realms. However
there only seems to be two differences, a difference of scale and
a difference of experience or sensibility. The former can be subdivided
into a problem involving the mass statistics for large numbers of
particles, or one of just gravitational mass. The statistical arguement
involved probabilities, and suggested that because weird quantum phenomena
were statistically rare we can see them occassionally in single particle
interactions, but never in events involving masses of particles, which
were based on averages. The problem with this is that we now know
that 'weird quantum phenomena' are not rare at all but are actually
the norm in the lab (the probabilty curve seems longer and flatter
today, the very opposite of the wave collapse), and even traditionally
'normal' or commonplace states, like 'having a location', can appear
in superposition, and so mass statistics will not effect this, as
it will apply to every particle half the time. The other alternative
is that it is sufficient mass which has the switching effect. This
has led some, such as Roger Penrose, to suggest ideas along the lines
that some 'unknown factor' in an 'undiscovered link' between QM and
Relativity Theory causes a 'law switch' passed a certain mass, or
collapses the wavefunction in some sence. But on close examination
these statements actually say nothing at all, other than 'QM doesn't
work at the macro level', and we knew that already, so it adds nothing
but further mystification. All that seems to remain is sensibility
or the ability of direct experiencability. And here focus usually
shifts to the 'results of observation' or the effects of 'the measurement
problem'. This is also difficult to grasp in terms of what it means.
Measurement certainly does not 'disrupt' the process through interaction,
as experiments have carefully screened this possibility out. Some
have suggested that the 'observer collapses the wavefunction', implying
a role for conscious perception, a hidden variable in the equation,
'to be is to be percieved', as Bishop Berkeley said, but if this were
true we would all be living in our own very different solipsistic
worlds, as my perception might be different to someone else's, so
this is usually rejected (Berkeley evoked God as the referee, but
this is obviously absurd). The Many Worlds approach is the main arguement
of those who reject any place for consciousness in Quantum Mechanics,
maintaining an independent completely physicalist reality in the form
of the multiverse. Though as we've seen this doesn't really work in
its present form either (though this hasn't stopped well funded reductive
materialists, like David Deutsch, from flogging a dead horse). As
it turns out the belief that QM only applies at the micro level is
probably false after all so all the above tends to be based on a false
premise. Quantum Mechanics is regarded by some as a cul de sac due
to these huge problems. However it is the only scientific theory ever
to be near 100 percent accurate in its predictions and so cannot really
be rejected! It is likely that all of the above attempts at rationalising
the mystery contain an element of truth but are misconcieved.
However there is a very interesting alternative that may solve many
of these problems, and also finally shed light on our original analysis
of Lovecraft's Psycho-Physics.
Decoherence and Entanglement
The latest approach is called Decoherence Theory and is based on the
strict realist intuition that the equations of QM are the most accurate
in science and therefore the best reflection of reality, and that
the Wave Function is a 'mathematical truth' that always applies and
never really collapses. This means that real Physics is Quantum Physics
and that it applies at every scale, and has something in common with
the multiple 'ghost worlds' view. The key to the realisation of everyday
reality from quantum weirdness is said to be 'entanglement' and the
ordering principle 'consistent history'.
According to the Schroedinger eqaution the quantum variables of any
particles that become linked in a physical system are from then always
linked for as long as they remain in superposition and the informational
transfer between them is instantaneous or 'transluminal'. Their interaction
being 'non-local' and not a 'normal physical interaction'. This means
for instance two electrons emerging from a single quantum event, whose
up or down spin is undetermined, and in a superposition of either
possibility, will be permanently linked even if they end up on either
side of the universe. So that the resolution of the spin of one electron
through measurement instantly effects the other in the opposite direction.
This is a well known thought experiment which once seemed exotic,
but now entanglement seems to be the norm in quantum effected systems
and not the rarity this example suggests. This has led to the notion
that quantum measurement is actually an entanglement event. That is
that a superpositional particle when measured becomes part of a 'measurement
system' and thus entangled with the particles making up the measuring
device, which in turn is entangled with many other quantum systems
in the environment. But because the environment requires a 'consistent
history' (a logically consistent account of a series of interrelated
events in a single story) the most 'logical combination of values'
for all the superpositional states involved causes them all to 'fall
in line' and 'become classical'. Oddly the influence here is not from
the measuring instrument onto the measured particle (as is normally
assumed), but from the particle onto the instrument which enters a
superposition itself due to the measurement (or perhaps is maintained
in one). However the superposition of the instrument is constrained
by the fact it is macroscopic and so simultaneously entangled with
billlions of other quantum events, and these have the effect of averaging
out into the most logical overall symmetrical pattern, thus causing
the instrument to 'become classical'. This in turn feeds back to the
measured particle which falls in line with the macro-entaglement.
The same could occur to any superpositional particle that interacts
with a large scale system, not just a measuring event. The mathematical
details of this are still being calculated, but conceptually this
appears to be unproblematic and is consistent with all known observations
and equational predictions. The consequence of it being that if a
bus could be shielded from quantum entanglement with its environment
it would become superpositional, behave like a quantum particle and
do equally impossible things!
There is of course still a bizarre consequence even in this thesis.
That is because the wave function remains and doesn't collapse (it
can't in this theory) the change to classical physics has to be said
to be an 'illusion' and the 'reality' is still the superposition.
So in effect we are talking about the 'ghost worlds' again only one
of which becomes 'real for us' in the 'history' we operate in. As
some physicists put it 'the other superpositions still exist,
and can interact, they are just not really there'! What ever
this state might mean it is called Decoherence, because the coherent
equilibrium of superpositions is disrupted into a disequilibrium in
which one state becomes real for those interacting with it in a given
history (but only for them). This is like a 'wave function collapse'
that only applies locally while the eqaution remains intact globally,
a relativistic Quantum Mechanics! There is thus still a little mystery
involved.
The other unaccounted for fact is why the macrocosmos has to be 'logical
consistent' in a way accessible to human reason. When logical consistency
seems simply a property of human language and rational minds. Mainstream
Decoherentists have no problem with this as they are essentially Pythagoreans,
believing reality is founded on logical laws and mathematical truths.
Those that wisely reject this view have to find another explanation.
Psycho-Physics and Magick
An obvious solution is that the rational structure of our experienced
'history' is partly imposed by the rational structures of our minds.
Thus species that have a similarly ordered nervous system will experience
the same ordering of reality. Though note this must be a dialectical
relation beyond linear time, as the nervous system is the product
of a consistent history in turn. The two are thus now locked into
each other within our particular history. This ordering only effects
the constructed reality of the macroworld that we experience through
our sences though, and not the quantum reality level (until the two
interact). But the ordering of a history is about more than logical
structure, it is also about arbitrary rules of possibility and their
closely related stablising 'constants', and memories of prior history
(if more than one logical timeline is possible). All of these seem
to be in the realm of belief, or more precisely of cognitive states.
We need to know 'what reality is' before we experience it, and so
in a sence create it with our 'true beliefs' or 'certainties'. Thus
again consciousness is shaping the macroworld. However this is not
to say cranky New Age ideas like the shaping of reality through belief
or 'positive thinking' are true, nor is it the same as the solipsistic
'observer effect', because the location of the cognitive states is
not the mind of any individual but rather the 'species mind', the
collective knowledge and 'facts' aquired by the human race. Some of
which may be neuro-genetically hardwired, and likewise dialectically
locked into reality. The only optimistic position in this is the plasticity
of the human constitution and the fact that collective knowledge is
merely the sum of individual belief. If culture plays a role in this,
as it possibly does, then micro-cultures may be able to create local
cognitive norms that effect local reality to some extent, and powerful
individuals or small groups may even be able to generate a temporary
group consensus that operates in a similar way. Trusted subcultures,
such as religions, could shift an entire culture's beliefs, and maybe
even human cognition as a whole. This will not be easy however as
the species norms will be strongly inertial. Any effects would probably
be felt as a shift in probability or strange coincidences. An easy
alternative might be a local derrangement of the senses or confusion
that seeks to disrupt the 'consensus reality', or a deliberate derationalisation
that disrupts order. Perhaps explaining why weird 'paranormal' phenomena
are allegedly common in asylums. Successful magick may be using a
combination of both these techniques.
But how could such a thing be possible within a purely physical theory?
The answer is it isn't, so purely physical theory must be wrong.
We've already seen it doesn't work without deploying absurd Pythagorean
ideas (pun intended). The answer I think is that the 'mental space'
of our consciousness is that other dimension that the Penrose Tilings
infer, it is the 5th dimension. In other words objects must exist
in 'cognitive space', with its own 'information fields', before they
fully manifest to us (though may still exist without this). Just as
3D objects must exist in our 4th dimensional time frame before they
are experienced by us (though obviously once existed, or will exist,
some time, and so in Relativity Theory do exist in an eternal 'now',
but are just not present to some people). Existant things that arent
really there being mere ghosts otherwise (and the past and future
really can influence the present in quantum reality). Thus some impossible
crystal formations only appear (or have their wavefunction locally
collapse) when enough people believe them possible. The fact that
in these cases 'enough people' is often a tiny scientific community
may indicate the above comments on micro-cultural effects (and the
power of certain micro-cultures in human society etc) may be spot
on. If so there may be a direct parallel between the idea of special
entanglement properties of physical systems and a special property
of micro-cultures as 'cognitive' or 'informational systems'. It seems also likely that this same 5th Dimension is the direction space curves in and so is in effect hyperspace, and is also the 'way into' the realm of quantum chaos, as well as the medium through which entanglement operates. Confirming Lovecraft's identification of the two. If it is also a 'gravitational dimension' it may also correlate to the 4th spatial dimension of Superstring theory interconnecting different membranes or Space-Time continuums, as well as the mysterious 'Implicate Order' of Bohm's Holistic Physics.
Thus in conclusion the psychological factors of Magick may play a
role in 'cognitive space' as much as the physical factors do in 'ordinary
space'. Emotion being its 'energy', desire and will its 'forces',
images its 'forms' and ideas its 'matter'. Though such a Psycho-Physics
has yet to be developed in detail and further analysis beyond the
scope of this essay.
Speculation remains possible however and Lovecraft's stories are not
short of them. For instance the secret alphabet called the Aklo, not
only seems to be a symbol system like the Runes, or any magical alphabet,
that archetypally activates certain ancient human conceptual archetypes
and so influences 'cognitive space'. But if it is the same as the
'angular marks' of the Witch House, and the 'geometrical symbols'
of the Mi-Go, it might also be psycho-physically linked to the 'physical
effects' of the real angles. Thus a symbollically reversed, inverted
pentagram (point up) can become a conceptual image of a closure of
gates rather than an opening of them, empowering symbols like the
Elder Sign and the Banishing Pentagram. But how such structures in
'cognitive space' might influence structures in 'normal space' remains
a mystery to be solved by a future science. For now we can just say
it is possible, and develop vague hypotheses for pragmatic deployment.