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Published: 23 November 2018

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Hypersphere Cosmology

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.

http://www.specularium.org/3d-time/item/250-the-anti-singularity-theorem

Philosophy and Politics.

Reading ‘The Shortest History of Germany’ by Lanes Hawes

https://www.amazon.co.uk/Shortest-History-Germany-James-Hawes/dp/1910400734/ref=sr_1_1?ie=UTF8&qid=1542979934&sr=8-1&keywords=the+shortest+history+of+germany

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.

https://www.amazon.co.uk/Strange-Death-Europe-Immigration-Identity/dp/1472958004/ref=sr_1_1?ie=UTF8&qid=1542313276&sr=8-1&keywords=the+strange+death+of+europe

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.)

Magic.

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.

Esoteric Horticulture.

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.

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Published: 01 November 2018

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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

http://www.specularium.org/3d-time/item/250-the-anti-singularity-theorem

‘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.

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Published: 29 September 2018

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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?’

Esoteric Horticulture

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!

Politics

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’.

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Published: 08 September 2018

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Politics

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.

Magic

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.

Physics

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.