Heavy Circle = Hypersphere (Glome), Lighter Circles = Azimuthal Circles
Vertical Line from centre = Glome antipode distance L, let d = astronomical distance/L.
Horizontals = Glome radii = sqrt(d-d^2)
Hypotenuses = Azimuthal radii = = sqrt(d^2 + (d -d^2))
*Hypotenuses/Horizontals = sqrt(d^2 + (d-d^2)) /sqrt(d-d^2)
*This ratio submits to the following simplification
where d now means simply the astronomical distance, as A = c^2/L.
Dividing the two gives the ratio of Azimuthal radius to internal Glome radius so the ‘Lensing’ shown means the degree to which the object under observation at some distance d/L gets ‘spread out’, suggesting that we could multiply this by the standard factor for reduction of brightness with distance of 4pir^2
Explanation: Glomes (3-spheres or 4-balls) have an unobservable 4th dimensional radius of curvature.
The vertical axis represents the real distance to L, but along it every point d on it has a corresponding point on the unobservable 4th dimension axis corresponding to sqrt(d-d^2) for its unobservable radius of 4th dimensional Glome curvature, and to sqrt(d^2 +(d-d^2)) for its unobservable radius of 4th dimensional Azimuthal curvature.
The ratio of these unobservable sqrt(d^2 +(d-d^2)) / sqrt(d-d^2), gives a third unobservable sqrt(1/(1-d)), which we can render into an observable by multiplying it by the expected drop off in brightness for distance d.
Prediction: The curve begins with a gentle almost flat slope, and this looks, the same as the results obtained for the type 1A supernovae. On the basis of the angle of the slope the Hubble constant became adjusted and the assumption of dark energy became adopted.
However, we cannot easily observe type 1As at huge distances, and the curve turns from a gentle slope into a steep curve at huge distances.
This hypothesis therefore predicts that at huge distances the dimming will become much more acute and that dark energy does not exist.
Horizontal scale distance, Observer to antipode L.
Vertical scale, for red and blue lines, the unobservable 4th dimension of curvature radius. Green = hyperspherical lensing, corresponding to the increasing observed magnitude with distance d.
Interpretation: This hypothesis forms part of the Hypersphere Cosmology hypothesis which models the universe as a Vorticitating (4-rotating) Hypersphere (Glome) which will appear to inside observers in Azimuthal Projection. This hypothesis also eliminates singularities, the big bang, inflation, and dark matter.
The treatment of gravity / spacetime curvature as a 4th dimension orthogonal to three-dimensional space and to time implies the non-quantisation of gravity and suggests that unification may lie in the geometrication of the quanta, perhaps in higher dimensions.
A Glome in Azimuth.
Since humanity first gazed up at the stars we have wondered - how big a universe do we inhabit and what shape does it have? Does it have infinite extension in space and time, or does it have boundaries, and if it has boundaries what lies beyond them?
In the twentieth century we reached several consensus conclusions by interpreting newly available data provided by powerful telescopes of various kinds, including those that could ‘see’ forms of light and radiation that our eyes cannot detect.
Some of these consensus conclusions remain questionable.
The universe appears vastly larger than we previously thought. As light travels at a constant 300,000 kilometres per second then the furthest detectable sources of it seem to lie further than 10 billion light years away from us and the light from them has travelled towards us for as many billions of years. There seems little doubt that we inhabit a very large universe with very long history.
Around 1930 a consensus developed amongst cosmologists that the universe has expanded continuously from an initial condition of having no size at all, and that the sources of light we can observe at extreme distances now lie much further away than ten billion light years. The consensus theory of a universe expanding continuously from a ‘Big Bang’ has dominated cosmological thinking for nearly ninety years but it has led to utter confusion and the multiplication of a swathe of questionable sub-hypotheses which attempt to prop it up, such as singularities, cosmic inflation, dark matter, and dark energy. These sub-hypotheses complicate estimates of the age and size of the universe. The current consensus guess puts the supposed big bang about 13.8 billion years ago.
This paper considers proposition that the universe does not expand and that it has a shape in space and time quite different from what the expansion hypothesis suggests.
The Hypersphere Cosmology articles and papers on this site show how we can quite easily avoid the phlogiston like ‘phenomena’ of singularity, inflation, dark matter, and dark energy by simply dropping the expansion hypothesis and describing the universe as a Vorticitating Hypersphere finite but unbounded in both space and time. In this model the phenomena conventionally explained by the presence of dark matter (galactic rotation curves) and dark energy (an unexpected dimming of very distant sources) all arise as a direct consequence of the geometry of the hypersphere.
‘Hypersphere’ can refer to any form of sphere that has more than three dimensions, in Hypersphere Cosmology it refers specifically to a geometry that mathematicians describe as a 3-sphere or a 4-ball, it also has a particular name – a Glome.
So, if we inhabit a Glome, what shape will it appear to have to us observers inside it?
Because light itself follows the gravitational curvature of space (and a Glome curves back in on itself due to its gravity) we will see the universe in Azimuthal Projection.
(The Azimuthal Projection creates the optical illusion of spreading out and dimming light from very far sources, the model does not require dark energy to explain that.)
We can visualise Azimuthal Projection fairly easily. Imagine that you stood on the north pole of the earth but that the earth had such immensely powerful gravity that light could only travel around its surface. From the north pole you would see the equator as a circle surrounding you because light would travel around the curve of its surface. If you looked further you would see the south pole in very direction around you, stretched faintly around the entire horizon. It would look like this because we always assume that light travels in a ‘straight line’.
See this Azimuthal Projection of the earth for an observer at the north pole.
Now in three dimensions something analogous occurs if the gravity of the system (the spacetime curvature) has the strength to bend light right around it. You will see the antipode (the point at the opposite side of the universe to you) spread out faintly as a complete spherical surface surrounding you, billions of light years away.
(You might think that at twice that distance you could theoretically see yourself, but the spacetime curvature redshifts light to oblivion beyond antipode distance.)
So, on the basis that we inhabit a Glome in Azimuth, my astronomer/cosmologist friend and I now seek the precise equation for the unexpected diminution of luminosity at extreme distances which will kill the dark energy hypothesis and put the final nail into the coffin of the Lambda-CDM model and all other variants of Big Bang theory.
Einstein got it more or less right the first time, he should never have listened to Lemaitre.
As the autumnalis Mandrakes in the greenhouse prepare for their summer hibernation and their leaves begin to yellow, the frogs and toads move into the pond at Chateaux Chaos and the flowerbeds begin their slow magnificent explosions. Everything seems a bit early this year after the unseasonably warm February.
My attempt to fashion a mermaid from concrete over scrap steel and wire using rather stochastic procedures, (whatever comes to hand and mind), seems to evolve towards an image of Sabrina, the bountiful but fierce goddess of the nearby River Severn. Or does she look like Britannia with that trident?
Brexit seems to hang in the balance. Will we finally summon the resolve to exit the perfidious undemocratic synarchy that the EU has become, or will the self-interest of the euro-political class and big business triumph and intimidate the electorate into accepting a partial Brexit fudge or no Brexit at all?
Good fences make good neighbours as they say, but they become even more essential when you haven’t got particularly good neighbours. If we had not got duped into joining the EU, we would certainly not want to try joining it now.
I received an invitation to write a piece for publication in Japanese in a Japanese journal of Magic. I present it here in English.
The Way of the Wand.
Religion seeks knowledge and power through the understanding of the will of Supernatural Agencies.
Science seeks knowledge and power through the understanding of Natural Mechanisms.
Magic seeks knowledge and power through the understanding of Intents – personal intents, the intents of others, and the intents of natural phenomena.
On a superficial level, all three disciplines loathe and despise each other. Scientists dismiss the existence of supernatural agencies and the existence of intents (including free-will). Religionists loathe and despise the reductionism of scientists and regard the hubris of magicians as evil and blasphemous. Magicians consider science incomplete and regard all religious ideas as rather arbitrary vehicles for Intent.
Many people who express an interest in Magic only really want the consolations of religion and mysticism and something ‘spiritual’ - whatever that may mean.
If spirituality means ‘the way you live your life’ then Magic certainly has its own ‘spirituality’ – ‘Living your life by Intent’ - making things happen by all available means.
We should not confuse Intent with ‘willpower’ as in some early 20th century definitions of Magic. Both willpower and Intent arise from Imagination. The capacity to imagine what you want, consciously and subconsciously, and the imagination to build on that to the exclusion of other needs and wants and fears and distractions, leads to the knowledge and the power of Intent.
One thing marks out Magicians from the Scientists and the Religiously inclined. Magicians constantly practice Enchantment; they cast spells all the time. They may also practise Divination, the attempt to divine the intentions of people and events, or Invocation, the attempt to draw inspiration from imaginary supernatural agencies or their own sub-consciousnesses, or Evocation, the attempt to control the intent of imaginary supernatural agencies or their own sub-consciousnesses, but Enchantment remains the defining activity of a Magician.
For this reason, effective magical training programs always start with Enchantment and the use of wands and spells and sigils. Only those who truly ‘pick up the wand and run with it’ will ever master the life skill of Magical Intent. The rest will just end up toying with tarot cards and the like and creating their own idiosyncratic mysticisms and religions.
A Magician can do Enchantment without a literal physical magic wand, in the same way that anyone can do simple carpentry with their bare hands by breaking and twisting small pieces of wood together, but precision instruments give better results.
As the traditional instrument of Enchantment, the Wand serves several purposes; the magician can use it to focus more intently when drawing spells and sigils in the air, or in the mind’s eyes of imagination and visualisation. Wands also serve to constantly remind Magicians of their chosen vocation to Live their lives by Intent, whatever the distractions and blandishments and fears and conventions of contemporary life.
A Magician should always make Wands that represent personal intents and meanings. Two Wands will often suffice, a large one in the form of a staff of the Magician’s own height for use in private or special places, and a smaller pocket wand for carrying always. Magicians should consider upgrading their wands continuously during their careers as their skills and knowledge and intents develop.
A Wand does not even have to look like a conventional Wizard’s wand. Some Magicians have successfully defined special objects in the shape of rings or amulets or even weapons as their Wands.
Magic does not always work, but on the other hand Religious appeals to supernatural agencies work even less well, and Science frequently fails to do what we want it to because we inhabit a universe with a lot of randomness in it. This randomness has two consequences for the Magician, it makes Enchantment possible, but it also renders Divination subject to probability.
If only a fifth of your spells work or you find that you can only achieve a twenty percent distortion of probability, then you still have a real power that with persistent and subtle application will yield good results. If, however only a fifth of your Divinations give the correct answer then you will acquire a disability if you act upon them.
Additionally, because of the existence of randomness and probability, Enchantments work best when aimed well into the future whilst Divination gives better results over shorter times, so as I always say, whenever possible - ‘Enchant Long and Divine Short’. Of course, Magicians would prefer to Enchant and get a result quickly and to have the ability to Divine the distant future, but the chaos and randomness in this universe which makes Enchantment possible makes these acts difficult.
Taking the Way of The Wand means living in a universe of Intents and challenging yourself to succeed at difficult activities that require some sensitivity to the Intents of others and the Intents of human made systems and the Intents of physical reality, as well as a quiet self-confidence and a well disguised supreme arrogance.
Magicians rarely succeed in working together for long. Rivalry tends to become enmity. Magic tends to become a solitary pursuit shared only through books and manuscripts and letters. Humans tend to revile or ridicule or fear those who advertise themselves as Magicians in Science based cultures, and in monotheist Religious cultures, and not all Pagan cultures have regarded it favourably. Magic thus tends toward discretion if not outright secrecy.
Nevertheless, many magicians smile quietly when they notice ordinary people inadvertently using magical thinking quite successfully. Belief in the power of Intent and belief that all phenomena have Intents does often give good results, even if Science believes otherwise and denies even human free will. Believing in Intent seems an indispensable element in the human toolkit but use it with care and with a carefully crafted Wand for best effect.
Ordinary people seem to recognise the power of Intent but so often see to shy away from it out of fear about where it might lead them. It does have its dangers, but the Magician decides To Know, To Imagine, To Dare, and To Keep Silent.
A correction to all versions of Hypersphere Cosmology.
Since I started collaborating with a gamma-ray astronomer on the Hypersphere Cosmology hypothesis we have started checking the math in fine detail. The precise formula for redshift appears below, previous versions gave only its square root.
Dion Fortune always said that magicians should acquire varied craft skills. Retirement from commerce allows me to explore some grander projects I’ve always wanted to have a go at, so in addition to working on a life-size concrete over wire Mermaid/Britannia to sit by the ponds, I took a days course in Blacksmithing with the brilliant Artist Blacksmith Joanna Williams www.fireironart.com after a few practise pieces I tried making some pocket wands using various hammering and twisting techniques to create ‘water twists’ and ‘pineapple twists’ to suitable effect.
In the past I tried welding a couple of times and didn’t enjoy it much with all the thick tinted goggles and visors and hot metal spattering, and arc welding proved even less fun, but Blacksmithing proved a joy I hope to repeat. There seems something so very elemental and historic about getting in there with fire and water and air to forge metal from the earth with hammer and tongs. Io Vulcan!
Magic and Physics News.
No real deep difference exists between these two subjects, they inform, rival, and complement each other. Physicists rebel against Magic, and ‘A Witch is a rebel in Physics’ as Thomas Vaughn observed. Both disciplines seek the knowledge and ability to understand and manipulate reality. Physics models reality in terms of Mechanism, Magic models reality in terms of Intent. The Mechanisms of any phenomena, from ourselfs to all things in material reality, equate to their Intents.
Arcanorium College has just welcomed Chaos Magicians and Physicists from Japan. The Japanese Chaos Magicians have a considerable active history which we in the west have remained largely unaware of until now.
Arcanorium’s ‘One Wand Three Spells’ course provoked some very inventive wand design and results of spells continue to come in.
This continues to attract attention http://vixra.org/abs/1812.0155 and a recently established collaboration with a gamma-ray astronomer will hopefully led to some testable predictions for publication.
The hypothesis of Hypersphere Vorticitation continues to draw questions about how exactly do galaxies move around the cosmos. An exact visualisation of 4-rotation proves challenging, but the ‘Hopf Keyring’ provides a reasonable analogue. The galaxies rotate around orbits corresponding to the rings, all orbits pass within all the other orbits. Thus, although all objects move to their antipode positions over a period corresponding to the Hubble Time, objects close to an observer’s antipode will appear to have a lateral motion of a tiny fraction of an arcsecond per century.
It proves very annoying to become mis-quoted or to write a manuscript review and find it edited in a misleading fashion. For this reason, the review appears here in its entirety - a fair and polite review of a rather pedestrian book which contains almost nothing new.
Hi Daniel, herewith my review. Perhaps you would care to add my Liber Null and Psychonaut to the bibliography. (He didn’t)
Shamanic Qabalah by Daniel Moler provides an in-depth guide to the esoteric ideas and practices at the core of the magical revival in the western mystery tradition that began in the late 19th century. An earlier revival took place in the first two centuries AD in the form of Gnosticism, Hermeticism and Kabala, and these have heavily influenced western esoterics since their revival in the 1880s.
Moler points out that Shamanism represents the original wellspring from which all mystical and magical traditions around the world originate, and he integrates his extensive personal knowledge and experience of Native Andean Shamanism with his equally extensive knowledge and experience of the Western Magical Tradition to re-enliven the latter, to make it more accessible and less seemingly scholastic, and to add back a bit of the old shamanic and passion and fire to it, and to give it a social and ecological conscience as well.
Moler sidesteps the Neo-Paganism and Chaoism of the late 20th century revival and develops the Platonic Pagan-Monotheism of the first and second century revival and the late 19th century revival into a Pantheism with strong spiritual and psychological theme which seems destined to find its niche in the dynamic spiritual marketplace of the 21st century. Peter J Carroll.
On opening the Moler’s book this truncated sentence becomes the very first thing you see: -
Shamanic Qabalah by Daniel Moler provides an in-depth guide to the esoteric ideas and practices at the core of the magical revival in the western mystery tradition. Peter Carroll.
Either Moler or Llewellyn publishers have responsibility for this misrepresentation, stick with respectable publishers.
Academia. The following may amuse: - https://www.academia.edu/35746068/The_Illuminates_of_Thanateros_and_the_Institutionalisation_of_Religious_Individualisation_preprint_
One for the archive.
With retirement from the distracting task of making a moderate fortune, a little more time has become available to concentrate on other significant quests: -
Cosmology. Herewith Hypersphere Cosmology 3. Compressed down to just 3 pages from the 30 or so pages of the hypotheses that make it up, it provides a brief and scientifically/autistically terse summary of the central arguments and mathematics. Mysteriously post-dated.
Magic. Herewith the new Chaobala Pocket Wand Mk13, somewhat in the style of a Tibetan Dorje/Purba crossed with an Olympian Thunderbolt. It has facets for the major archetypes of the Epoch Chaobala, a cubic pommel for the Classical Elements surmounted by a pyramid for Aether, a central Octagonal section for the Octaris with numbered god forms, and a Pentagonal point for the Elder Gods of the Cthulhu Mythos.
Handcarved from a bar of solid element 13 (Aluminium, dedicated to Ouranos). Stable up to over 6000C it should survive even the most challenging conjurations.
New Courses & Facilities on Arcanorium starting December 2018 and January 2019.
The Classical Elements. A Magical Theory course; - The ideas of Empedocles about Earth Air, Fire, and Water have informed the esoteric arts for two and a half millennia. Can we still find some use and meaning in them? Taking Classical, Medieval Renaissance, and Modern sources and the Neoplatonic Chocolate Screwdriver from Specularium and Liber 555 from The Epoch as starting materials we shall see if we can forge onwards from there.
Problems and Challenges A Problem-Solving Facility. A Forum where participants can present their own and the methods they use to solve them magically. This provides a forum for feedback and suggestions, and secondly will provide an archive of case histories of strategies and tactics that did and did not work.
Finding Cups -Seeking Divination & Apophenia in the Environment. A Practical Magic course: - Using the World itself as a scrying instrument. With special contributions from Frater JayO from the coast of British Columbia.
The Magical Link. A Magical Theory and Practise course: - Here we look at one of the trickiest and most problematical aspects of magic – how to establish functioning links across space and time between magician and target in both Enchantment and Divination. Starting January, with special contributions from Frater Hannes of Austria.
Herewith the full form of the equation for the rotation of a cloud of objects like the galaxies scattered through the universe or a cloud of particles that could become a black hole. The extra bits inside the brackets account for the degree to which the spacetime curvature has a flat Euclidean or a positively curved hyperspherical geometry: -
For the case of a hypersphere forming within the great hypersphere of the universe the equation reduces towards: -
This looks like splendid news, black holes will not remain indefinitely stable, as they contract towards hyperspheres the vorticitation of the great hypersphere of the universe itself will spin them to gradual destruction, returning material to space, and singularities will not occur.
See the full upgraded paper here.
Philosophy and Politics.
Reading ‘The Shortest History of Germany’ by Lanes Hawes
Might lead one to conclude that all the bad stuff about Germany originated from east of the Elbe. This thesis at least has the virtue that Prussia doesn’t exist anymore, so nobody will take offense today if all the blame gets heaped on the Prussians.
However, I got a different perspective from another book: -
The Strange Death of Europe Immigration, Identity, Islam. By Douglas Murray makes a strong case for the almost total incompatibility of Islamic and European values. Islamists would undoubtedly agree. That probably comes as no surprise to anyone except the most deluded of Europe’s extremist liberals.
However, Murray makes some fascinating observations about European (mainly German) philosophy in Chapter 13. Some decades before the British Darwin released his bombshell thesis about Evolution, German academics had already begun the process of undermining Christianity by performing Historical Criticism of the Bible itself, demonstrating that it consisted of mythology not history.
Then cresting the wave of triumphant Humanism, Germanic philosophers in their bloody-minded pursuit of no-compromise, un-nuanced absolutes went on to create some astonishing triumphs and disasters. Perhaps this arises from their language which seems to have evolved for shouting unequivocal orders in forests.
My non-exhaustive list of Germanic achievements illustrates this style of thinking in which: -
‘If X; then Y must follow, absolutely, unambiguously, unarguably, authoritatively!’
Religion. If worshiping God does not give good results, then we must sack the people who organise the worship. Luther. (Only half correct, we needed to sack God as well.)
Historical Criticism. If the events narrated in the Bible do not match what we know of history then we must regard the Bible as mythology and god as dead. Eichhorn, etc. (Trebly correct.)
Special Relativity, if we cannot account for the behaviour of light against a fixed backdrop of space and time then we must throw away the notion of a fixed backdrop of space and time. (Still correct.) Einstein.
General Relativity, if we cannot account for the equivalence of gravity and acceleration in Euclidean space and time then we must have curved space and time. (Still correct.) Einstein.
If no god exists to justify inequality in society then a dictatorship of the proletariat must enforce equality. Marx. (Correct then wrong.)
Quantum Physics, if we cannot account for the behaviour of the tiniest things in terms of nature’s continuousness and causality then we must throw away the idea of continuousness and causality in nature. (Probably correct) Planck, Heisenberg, Schrodinger.
Mind (and Soul?). If the mind and soul do not act in a coherent way, then we must throw away the idea of their singularity and consider them as component based. (Still roughly correct.) Freud, Jung.
If no god exists, then a Darwinian struggle for the triumph of the will must follow. Nietzsche, Hitler, and multiple culprits. (Correct then badly wrong.)
If philosophy means word-wisdom then we must pull the words apart until no meaning, value, or wisdom remains. Nietzsche, Heidegger, Husserl, Wittgenstein, Feyerabend. (But French postmodernists also guilty.)
One might perhaps add: -
If big means better, then one currency must fit all sizes (particularly ours), and ever closer political union of the small to the big must follow (towards us). German thinking on the EU. (Wrong on all counts.)
If we have a labour shortage, then it follows that we must let in a million migrants. If we then have problems with migrants then it follows that other countries must take them instead. (Myopic Merkel.)
As part of an ongoing Enchantment course on Arcanorium College, www.arcanoriumcollege.com herewith a new pocket wand, approaching completion.
Methinks a magician should create a new wand every few years to mark the acquisition of fresh knowledge, abilities and objectives.
Loosely based on the Tibetan Purba style of wand, hand carved from a solid bar of Aluminium (the metal of Ouranos) it facets represent the major phenomena of the Chaobala. The square pommel for the classical elements with the pyramidal end for aether. The octagonal midsection shows the eight planetary divisions of the psychocosm, and the pentagonal point represents the elder gods.
Consecration by, among other things, 23 hours work and the sacrifice of 5 engineering files.
Engraving the facets with the appropriate symbols remains an option, technical recommendations appreciated.
Six and a half years on since the planting of three seeds sent by a magician in Greece, one of the Mandrakes (Mandragora Autumnalis) has finally flowered. They don’t seem to enjoy the climate here but maybe this unseasonably hot British summer changed her mind.
Rewilding this species in the UK will plainly take some time….. but climate change must surely have some small upsides.
Samhain: Three Strange Objects.
The first object consists of an equation. It may not look like much, but it shows the mechanism by which the universe remains effectively eternal and unconsumed by black holes and singularities.
As it says here in he full paper
‘The great hypersphere of the universe will not therefore eventually become full of black holes, sub-hyperspheres, or singularities, and it will remain at a constant size, vorticitating in finite but unbounded space and time.’
Relax, Eschaton cancelled, all predictions of Universal Apocalypse and The End of Days no longer apply. Abandon monotheism, and the current Scientific Creation Myth.
Mind you, we still need to look after this planet and find another one within a billion or so years.
Long have I sought this missing component of Hypersphere Cosmology. My thanks to Apophenia and Yog-Sothoth.
The second object consists of a rock that floats on water. Found on the beach outside my meditation lodge in Wales. Twenty years of beachcombing down there have yielded odd things, lobster pot tags from Newfoundland, Portuguese men of war, sea gooseberries, plastic from around the entire planet, but never one of these.
When volcanic lava escapes from the ground dissolved gasses will sometimes expand under reduced pressure to turn the lava into a bubble filled structure. I have no idea which volcano birthed this rock and for how long it has sailed the oceans. It still has a faint whiff of brimstone to it. Iceland or the Canary Islands seem the closest sources.
The third object consists of a plaque to Cuda, Brythonic Goddess of the Cotswolds, (or maybe not). The idea comes to us from the work of the antiquarian Steven Yeates who worked it out from local place names and fragments of Romano-British carved stone reliefs. Academic disputation continues on this subject.
I’ve long wanted to do something about the brick pillar in the gardens here which lie on the edge of the Cotswolds, and She seemed ideal. If the pagans of the Cotswolds didn’t have a Goddess of the Cotswolds (Cudaswolds?) two thousand years ago, they do now.
The old Romano-British stone reliefs have become almost featureless with weathering, I have given Her sheep’s horns and a floral coloured face to symbolise and celebrate the abundance and fertility of these lands over which She presides in our imaginations.
For several centuries this area remained one of the poshest and most desirable suburbs of the Roman Empire. You can find the remains of lots of nice villas and temples all up the Severn valley.
Concrete disc (with plenty of PVA in it) over steel wire frame, relief features in Turdcrete (Portland cement and PVA with sieved sheepswool and bracken compost to make a hard setting yet malleable clay like material) acrylic highlights. Diameter 2 feet, weight 60 pounds.
So what meaning can we give to this Samhain time of year? Seasonally in northern temperate climes it marks the end of harvest, a time to slaughter excess livestock, the first day of winter.
Perhaps our ancestors didn’t really celebrate this time of year itself, they most likely tried to defy the impending death and darkness and cold with parties and bonfires.
The christian festival of all-saints or all-hallows may well have become placed at this time of year to supplant older pagan celebrations.
A time to remember the dead perhaps, but we never really remember the long dead, we merely remember their deeds. Those without significant deeds rarely become remembered for more than three generations.
The modern American tradition of halloween seems especially repulsive, consisting as it does of poking meaningless fun at disneyfied mock gothic death whilst schooling children in the arts of extortion with menaces.
Bonfire night seems far more appropriate, a defiant gesture against popery and the ghastly sentimentality/cruelty and the grim guilt/self-righteousness of catholicism. A celebration of light and liberation from centuries of imposed ignorance.
After the discovery of the cosmological redshift, Einstein retracted the cosmological constant that he had devised to stabilise his static hypersphere model of the universe, describing it as his greatest blunder. It does indeed look like a bit of an ad-hoc fudge factor in the form in which he inserted it into his equations. He considered it effectively as a source of anti-gravity of unknown origin that prevented the hypersphere collapsing in on itself. Einstein went over to the expanding universe model, but the recent discovery of a mismatch between supernovae redshifts and apparent magnitudes has led to the idea of dark energy driving an accelerating expansion of the universe which implies a resuscitation of the idea of a cosmological constant, some have opined that his ‘greatest blunder’ lay in abandoning his original idea.
Gödel attempted to stabilise the Einsteinian hypersphere by having it rotate. His cosmological constant appears as an angular velocity. However, as no axis of rotation seemed observable this solution also fell into disuse and obscurity.
The Hypersphere Cosmology model also arises from the original Einsteinian and Gödelian models but it looks further into the geometric properties of hyperspheres which have an intrinsic form of rotation (vorticitation) with no observable axes and which give rise to a type of cosmological constant expressed as a negative acceleration A, that stabilises the hypersphere at constant size, redshifts light on cosmological scales, increases the orbital velocity of rotating galaxies, and lenses the light from distant supernovae distorting their apparent magnitudes.
Intriguingly, all three cosmological constants exhibit a stunning equivalence as the final equation in the above shows.
Most alternative cosmologies tend to pose the question ‘What if Einstein got it wrong?’, Hypersphere Cosmology poses the question ‘What if Einstein and Gödel actually got it pretty well right the first time?’
I have finally abandoned all doubt about the reality of Global Warming. After our bizarre spring and summer my three Autumnal Mandrakes woke up and sprouted at the autumn equinox rather than wait for Samhain as customary. So many other plants have seeded prematurely that the squirrels and birds have hardly bothered with the bird feeders.
Soon an eight-foot votive pillar to Cuda the Celtic Goddess of the Cotswolds (Cudaswolds?) will appear in the gardens. Her popularity amongst neo-pagans has shot up in this part of the world since the discovery of a Romano British plaque, apparently to Her, near the local Celtic capital of Cirencester. However, the Prof informs me that the whole modern myth derives from the recent very imaginative and questionable work of the amateur archaeologist Stephen Yeates and that it all looks like a splendid example of Chaos Magic. Deities ‘R Us!
The shitstorm of conflicting opinions, passions, and predictions about Brexit continues and the questions about the competence and integrity of all our politicians mount.
Nevertheless, let us never forget that the British voted in favour of deciding on their own response to globalisation and immigration rather than accepting the diktats of others that they did not elect on these matters – whatever the economic costs or benefits.
The EU surreptitiously mutated from an economic into a political project. Any new vote to remain would effectively mean a vote to deprive ourselves of the right to ever vote again on anything important. The British Parliament would become as much of a sham as the European ‘Parliament’.
Globalisation and Immigration continue to fracture the landscape of British politics, and much of that in continental Europe as well.
Britain successfully integrated many waves of immigrants in the past because of the strength of its institutions and culture and because no immigrant group ever represented more than one or two percent of the entire population. Few people now even notice the 25,000 Axis POWs who chose to remain in the UK after WW2. However, as the proportions have increased, particularly of groups with cultures very different to the British model, the resistance to integration has risen exponentially on both sides. Thus, we come to the Unmentionable Elephant in the Room of which few dare to speak: -
Half the British voted for Brexit partly because of the issue of Non-EU Immigration. They didn’t want any more immigrants with conflicting cultures from Africa or Asia much more than they wanted to reduce the flow of eastern Europeans from the EU which merely depresses wages a little.
So now we have a weirdly distorted political landscape in which the centre has faded from view and opinions have polarised along strange axes.
The hard left continues its takeover of the Labour Party, having somehow sidestepped the antipathy to authoritarian and misogynistic Islamic culture that you might expect of the left, it has adopted an anti-Israel and anti-Semitic stance to attract the 6.3% Islamic share of the UK electorate. Plus of course the loony lefties also despise the Jews for their generally high levels of material success and intelligence.
The hard right meanwhile continues its takeover of the Conservative Party largely because of the unmentionable Elephant in the Room and the disastrous failure of multiculturalism.
So, politics as usual, with all sides obfuscating their real motives and wilfully confusing culturalism with racism.
Globalisation will inevitably encourage further huge waves of Africans and Asians seeking to emigrate to Europe. Brexit will only stop those using continental Europe as a stepping stone to get to Britain.
Only by withdrawing from the UN Convention of Human Rights as well can Britain regain control of its borders.
Alternatively, we could simply do what Australia and the Visegrád nations do, build good defences and let well briefed border guards sort the issue without resort to legal technicalities.
After a leisurely summer spent debating the finer points of magical philosophy and belief, a new practical course now begins on Arcanorium College: - One Wand, Three Enchantments.
Participants will attempt to create functioning versions of all four.
Gödel derived an exact solution to the field equations of general relativity for rotating matter: -
“Matter everywhere rotates relative to the compass of inertia with an angular velocity equal to twice the square root of pi times the gravitational constant times the density.”
My calculations show that an application of this formula to black holes or gravitationally closed hyperspheres of any size leads to velocities at the surfaces of these bodies which exceed lightspeed. This may not matter so much for hyperspheres with surface escape velocities theoretically in excess of lightspeed, but it may add an additional and much greater long-term instability to black holes than Hawking radiation. This matters very much to me as I don't want pesky black holes eventually gobbling up all the matter in a universe otherwise hyperspherically finite and unbounded in both space and time.
Dark Star Rising – Magick and Power in the Age of Trump. Gary Lachman.
This book argues that Chaos Magic has made Donald Trump POTUS and that it also made Vladimir Putin Tsar of Russia with the Chaoist Alexander Dugin as his Rasputin. However, the author (an American) barely mentions the role of Chaos Magic in the accomplishment of Brexit. Nevertheless, the book does provide a comprehensive introduction to some of the principles and practices of Chaos magic.
Most if not all political initiatives grow out of shadowy or ‘occult’ beginnings in the realms of fringe religion, philosophy, and metaphysics.
Chaos Magic provides a philosophy and a technology for encouraging rather improbable and unlikely events to occur. Its technical theory predicted the advent of the Pandaemon-aeon well in advance of its current phenomenisation. However, Lachman only quotes Liber Null, so perhaps he didn’t notice the Aeonics material in Liber Kaos. For some source material on the origins of Chaoism he resorts to the second-rate scholarship of Dave Evans who, after failing to get an interview (nobody liked him) simply googled existing disinformation to bulk out his lame PhD thesis.
In this new Pandaemon-aeon, Nothing has Truth and Everything remains Possible. Intent and Imagination trump ‘facts’, expert opinion, and probability, and we make up ‘reality’ as we go along.
Lachman explores at length the careers and occult antecedents of notable demagogues such as Hitler and Mussolini, yet these deplorables took their cues from the Nietzschean and Crowleyesque occult philosophy of the Triumph of the Will, rather than from the Chaoist Triumph of the Imagination.
Lachman also digresses at length upon various ‘spiritual gurus’ who have mastered the skill of exploiting some peoples need to have meaning and authority imposed. In this he perhaps doesn’t go far enough, as anyone spouting ‘spiritual wisdom’ spews only lies and bullshit.
Chaos Magic never became an exploitative religious or political cult itself despite a couple of (failed) minority attempts to develop such things within or alongside it, precisely because it gave away the secrets of how to do this to all commers, thus proofing them against it.
Lachman notes that the occult seems mainly associated with right wing political initiatives although he mentions the so far ineffectual Witches against Trump campaign. The liberal centre and left seem to have missed a trick here in recent decades by presenting their ideas in purely rationalistic terms lacking in imaginative glamour and charisma. By allowing vociferous minorities to write the book on politically correct thought-speech, the liberal centre and left have handed the radical right the opportunity to present themselves as heroic free-thinking rebels.
That mystically inspired conservative initiatives can, with the passage of time, mutate into an equally oppressive materialistic liberal absolutism may come as a surprise to many, so it seems refreshing that Lachman details the Synarchy or ‘Total Rule’ philosophy lurking within the European Union project.
Overall, Lachman has written a fascinating analysis of how esoteric and occult ideas have had political consequences, without descending too far into the murky pits of conspiracy theory.
Chaos Magic has enlarged humanity’s toolkit, what will we eventually do with it?
Destroy all monotheist religions and create more amusing personalised ones for ourselves?
Achieve Chaocracy – government by randomly selected committees of citizens?
Overcome the almost universal scientific belief in the expanding universe hypothesis?
Achieve the five zeros – zero population growth, zero CO2 and pollutant emissions, zero resource depletion, zero economic growth, zero loss of life satisfaction.
Recent research on Arcanorium College into Magical Thinking in general has thrown up some interesting insights into its contemporary use in Politics.
The supporters of the Trump presidency (and the POTUS himself) along with the supporters of Brexit have all become both applauded and condemned for their Magical Thinking.
Meme wars have raged in the noosphere as one might expect now that the Pandaemonaeon gets into its stride on the back of globalisation.
And this https://www.ecosophia.net/the-kek-wars-part-two-in-the-shadow-of-the-cathedral/
Note the references to Chaos Magic specifically.
Googling ‘Kek Frog God’ may provide some interesting surprises for those outside the American meme-sphere. In the next meme war we can expect to see far more of this phenomenon.
I guess a lot depends on whether the applauders or accusers like Trump and/or Brexit, and whether they consider Magical Thinking deluded or effective or, more interestingly - both.
Either way it has worked pleasingly well as a guiding principle in my life.
I recently watched The Darkest Hour in which Churchill rallies Britain to resist a seemingly inevitable domination by Germany. It worked brilliantly at the time, (although I note that Germany has recently acquired the Skoda works for which it invaded Czechoslovakia and the remains of British Steel have just fallen to Krupp. Plus, they effectively own Greece now, and evidently still quietly believe themselves at least the economic master race).
British foreign policy has for centuries had two guiding principles - self-preservation and the prevention of hegemony developing in Europe. Let us hope that Brexit hastens the breakup of the EU.
In its most ideal and heroic form Magical Thinking says, ‘We Can and We Will’ despite common sense, ‘the facts’, all evidence to the contrary, and all received wisdom and expert opinion: - because nothing has ultimate truth and anything remains possible. (NUTARP! as we say in Chaos Magic).
As Sturgeon’s Law states - Ninety percent of everything (and everyone?) consists of Bullshit. History consists of a ghastly mess of miscalculations, unintended consequences, and unanticipated events punctuated by the rare appearance of ideas that prove effective.
Humanity has a surfeit of experts, but no experts on the future. Yet I believe Britain could have a better future outside of a stifling, bureaucratic, synarchist, undemocratic EU, and that therefore it should try - whatever the short-term costs; and that Trump has not actually DONE anything catastrophically stupid yet despite the negotiable braggadocio, therefore we should wait and see if his alarming and refreshing new approach works.
Humanity advances by challenging its beliefs about its limitations.
We Can halt global warming by going over to renewable energy sources.
We Can stabilise the human population at sustainable levels without genocide.
We Can stop economic ‘growth’ without reducing our quality of life.
We just need to summon the belief that we both Can and Will accomplish these things. The Knights of Chaos may sally forth again in support of any of the three above - if we can agree on strategy and tactics.
Rebel Physics. What underlies the large number coincidences of the cosmos? More than mere human numerology methinks.
Just as the current Apophenia 2 draws towards a close She gifted me another Yog-Sothianan insight:
The mass of individual matter particles* in the universe and their total number AND the ratio of the Planck scale to the Cosmological scale mutually define each other.
Herewith the calculation in orders of magnitude terms in SI units: -
1) From Hypersphere Cosmology; the mass, length (antipode), energy, and time (temporal horizon) of the universe all have the same multiple (the Ubiquity Constant U) of the Planck mass, length, energy and time respectively. The Ubiquity Constant has a value of 1060. This huge dimensionless number acts as the magic number from which all quantum-cosmic ‘coincidences’ follow.
2) From Beckenstein-Hawking; The information deficit of the universe as a gravitationally closed system has the same order of magnitude as the Ubiquity Constant U, in terms of bits per Planck volume which results in a deficit of the cube root of Ubiquity (1020) per Planck length. Thus, the universe has an effective grain size or pixilation at 1020 times more than the Planck length, rather than at the Planck length itself. and this does indeed seem reflected in the ‘size’ or wavelength of stable baryons*. Few lengths below this seem to have any real physical meaning.
3) The measured mass of baryons* comes out as 1020 times less than the Planck mass, yet this figure inserted into the DeBroglie equation of wavelength = Planck’s constant / mass x lightspeed also yields a figure for baryon wavelength commensurate with the above.
4) From 1), 2), and 3) the total number of baryons* (matter particles) in the universe comes out at 1080, or U4/3, a number which fits comfortably with estimates derived from the number of stars and galaxies in the universe and their masses.
5) That the above relationships seem exact now, suggests that either we live in a very atypical epoch of the universe or, more likely, that the expanding universe hypothesis remains a faulty interpretation of observational data which we could better explain using hypersphere cosmology.
*Note that ‘matter particles’ or ‘baryons’ here means either proton-electron pairs or neutrons (which have the same mass, and which can interconvert) and which in a ratio of about 3 to 1 account for virtually all the mass of the universe at 1060 Planck masses, (1052 kg.)
Thus we can not only see the entire universe in a grain of sand, we can also see it in a single subatomic particle of matter.
Herewith a midsummer sculpture for the gardens, a vertical sundial calibrated in situ for a south facing wall. Turdcrete over steel wire with a figure of Time/The Grim Reaper done in plumber’s tin solder with blowtorch and soldering iron. Photographed on Solstic morning, and hour and a half before Midday GMT and subsequent mounting high on wall. Sorry photo on side.
Provisionally titled ‘Life’s too Short to be an Asshole’.
On Arcanorium College the Apophenia 2 course winds down after Her birthday in May and we examine the inspirations received.
Currently we discuss Lionel Snell’s book ‘My Years of Magical Thinking’, probably the most deep and profound work of Magical Philosophy ever published, alongside Matthew Hutson’s ‘The Seven Laws of Magical Thinking’ a rather slimmer and more populist book for civilians which nevertheless raises some interesting questions.
A new course/extended discussion and practical on the topic of EXPERIMENTAL BELIEF may follow shortly.
The Standard Model (Lambda CDM) of Cosmology posits a big bang and states that the nature of reality prior to this ‘is’ unknowable and beyond the bounds of scientific inquiry.
The Standard Copenhagen Interpretation of Quantum Physics states that the nature of the underlying reality ‘is’ unknowable and beyond the bounds of scientific inquiry.
What a come on! Surely, as wizards we can do better than this.
I suspect that in both cases orthodox science has made some erroneous assumptions about Time.
In the cosmological domain the redshift in the wavelength of light from distant galaxies became misinterpreted as an expansion of space, and manifold nonsense has resulted, such as cosmic singularity, cosmic inflation, big bang, dark matter and dark energy - all forms of phlogiston required to patch up the discrepancies between the resulting mistaken theory and actual observations.
If instead theorists had concentrated on the frequency of cosmic light they might have modelled the decrease of frequency (Time rather than length) with cosmic distance in terms of a deceleration arsing from a small positive spacetime curvature A.
Thusly: - fo / fe = c – sqrt dA / c
Where f0 and fe mean observed and expected frequency, d means distance and A = GM/L2 (Gravitational constant times mass of universe over antipode distance squared).
This formula accounts for observed redshifts ((by frequency, (or wavelength if inverted)) without recourse to the hypothesis of a big bang and expanding universe and all the infinities and inconsistencies that this leads to.
In the quantum domain the standard assumption of unidirectional one-dimensional time renders the underlying reality inexplicable. Cramer’s Transactional Interpretation does however show how reversible time can explain interference patterns and entanglement.
All the basic equations of physics except for the second law of thermodynamics exhibit a potential time reversibility yet we do not often observe it simply because two-body collisions remain much more likely than three-body collisions and collisions involving even more bodies than that become fantastically unlikely, so stuff basically tends to break, and entropy creates an apparent arrow to time.
The curious wave-particle duality of both energy and matter quanta makes very little sense in a 3D space and 1D time manifold.
However, the transverse wave behaviour of quanta becomes easier to understand if we model it as a rotation of an otherwise unobserved vector that lies in a plane orthogonal to time as we measure it. If a plane of ‘imaginary’ time lies orthogonal to measured time it can account for various of the wavelike features of quanta, quantum superposition, and the apparent probabilistic and indeterminate behaviour of quanta. Imaginary time would act as a kind of pseudospace out of which particle like behaviour decoheres at measurement/wave function collapse.
A symmetrical hyperspherical 3D Time – 3D Space manifold might well explain the deep physics of this universe, and some of the curious phenomena of magic as well.
Ah, the Scottish Highlands in spring, what a delight to see the still snow-capped Cairngorms, the sun kissed daffodils around the low roads, and my second granddaughter for the first time. What a surprise also to see The Flat Earth shop in Inverness and all the flat earth graffiti on the surrounding road signs; some people up there seem to take this as seriously as the Loch Ness Monster, and Dour Protestant sects by the bucket load.
Whilst I admire eccentricity and non-conformity, Flat-Earthism does seem rather vulnerable to immediate falsification. You may laugh but remember that almost the entire scientific community still subscribes to Flat Universe theory – the idea that exact Euclidian geometry applies to the whole universe thus giving it an overall zero curvature, a big bang beginning and a catastrophic ending.
You might think that the pervasive superstition of an explosively expanding universe suggests a negative curvature but by miraculous coincidence all the supposed mass within it supplies a positive curvature (gravity) just capable of arresting the supposed expansion given infinite time.
In centuries to come our descendants will laugh at Flat-Universism as heartily as we now laugh at Flat-Earthism. The cracks of its impending falsification have already appeared where you would most expect them – in the ‘crank’ scientific papers written by people such as myself.
The hypothesis of Hypersphere Cosmology for example: -
shows that the universe has an observable positive curvature which we can see in the residual Pioneer deceleration, the retardation of the frequency of light when it traverses cosmic distances, and the diminution of type 1A supernovae luminosity due to cosmic hyperspherical lensing. Moreover, the hypothesis also explains the anomalous galactic rotation curves without dark matter and provides the only scenario in which Mach’s Principle of the origin of inertial mass can apply.
All these parts of the hypothesis come with rigorous supporting mathematics.
Does any of this matter to us tiny humans on this quaint little planet in the suburbs of one unexceptional galaxy among billions?
Well it matters intensely to me because our views of the universe underlie our metaphysics and philosophies and religions and theories of magic, and thus what we believe about reality and thus how we live.
The big bang hypothesis with its big crunch or entropic fade-out ending seems a horrible sort of monotheistic style apocalyptic scenario from which humanity can never escape except to the imaginary transcendental realms of some great sky-fairy or other. This doesn’t encourage people to value this life or to look after this planet.
On the other hand, the Hypersphere Universe has no beginning and no ending, it has finite but unbounded extent in space and time – meaning that you can never fall off the ‘edge(s)’ of it in any dimension. Humanity could survive for effectively unlimited time if it proves clever enough to move to fresh habitats as stellar and galactic events render old ones unusable. Plus, the universe having effectively unlimited age will most certainly contain intelligences far older than our own that may eventually decide that we have become worth communicating with.
Meanwhile the extended Apophenia working on Arcanorium College continues to produce a splendid burst of inspiration and creativity in many fields.
For me it has led to the evolution of the structure of Square Rigger Chess as a sort of distraction activity (soon to appear on the games pages) whilst making some progress with the Quantum Hypersphere hypothesis. It has become clear that the phenomena of individual quanta depend on the phenomenon of the entire universe; as Hermes Trismegistus quipped – As Above, So Below.
Imagine a perfectly spherical planet with no land, just an entire surface of water. Drop a rock into it and circular waves spread out, eventually these waves will converge on the other side of the planet and get higher as the circles get smaller, finally producing a spike in the water as the inverse of the hole in the water that the rock made.
Three dimensional spherical waves in a hypersphere will do something analogous in a hypersphere. An antiparticle will appear at the antipode.
That an antiparticle appears at the antipode may seem a little odd. However, consider this – if you travel to the other side of this planet you end up upside-down with respect to your starting orientation, you have rotated 180 degrees. If instead of simply moving across a slightly curved plane to a terrestrial antipode, a particle moved right across/around the curved hyperspherical universe it would become rotated through all dimensions of space and time to become its mirror image antiparticle.
This all seems to fit in with Milo Woolf's ideas on particles as spherical standing waves, the transactional interpretation of quantum mechanics, and the hypersphere cosmology idea of antipodal particles having opposite matter/antimatter sign.
De Broglie hypothesised that matter quanta have the wave/particle duality that energy quanta exhibit, and indeed we can now demonstrate quantum entanglement, superposition, and tunnelling with matter quanta such as electrons. As the transactional interpretation of quantum mechanics seems the only one capable of providing a physical-principle model for these phenomena then presumably the phenomenon of moving matter particles must also arise as a transaction process in which advanced waves move backwards in time.
Thus, the wave function of any quantum stretches all the way around the universe to its antipode point at about 14 billion light years away.
So, a photon, an electron, a proton, a ball bearing, this planet, you and I, all consist of interreference patterns that manifest as particles out of wave functions that extend right around the entire universe.
I feel thrilled to announce the spring arrival of a second Granddaughter. Mother, baby, and husband all doing great, they put this down to the hypno-birthing techniques they used, plus I guess an oat-fed hardy Highland lifestyle helps.
Life up there certainly has some big upsides, you can wander around the miniature city of Inverness without having to watch your back, and random people will strike up pleasant conversations with you and none of them seem mad or demand anything of you. Plus, you can actually observe people walking around or sitting down without the aid of mobile phones.
In a further celebration of spring all three ponds have started to fill with amphibia, frogs and toads in the mature ones and just frogs so far in the new one. Just in time for the spring equinox I finished and hung Sol Invictus on a south facing wall and readied the Moon for a propitious hanging date. These consist of ‘turdcrete’ (sheepswool and bracken compost with Portland cement) over steel wire frames, acrylic finish.
Have you noticed the appalling deterioration of political and social debate in the years since the development of the internet and social media? Debate seems to have descended into the hurling of insults, recycled soundbites and abstract memes. The words ‘fascist’ or 'phobic' seem to have become items of punctuation, and applied liberally to anyone the speaker fears to even enter debate with and would therefore rather no-platform to preserve the safe space inside their head which has become so fragile due to the abandonment of critical thinking. It seems that in this age of mass-alienation and too much information, so many people seek the identity and solace of niche-herd-minds and preformed opinions.
Perhaps that constitutes the secular substitute for religion these days. We used to value the principle of trying to see the others’ point of view, at least in secular matters, but if opinion and identity become a religion, that option goes.
Correspondents inform me that even the esoteric social media platforms have degenerated into factional invective these days.
As an antidote to all this Arcanorium College proudly announces that we will shortly conduct a Philosophy of Magic course, a leisurely debate over some months.
We shall conduct this as always, as men and women of letters.