Arcanorium CollegeCollege News and Views

Pete Carroll

Sunday, 21 November 2021 16:44



The Cosmic Microwave Background Radiation has become interpreted as evidence for the Big-Bang expanding universe LCDM standard cosmological model.

The CMBR consists of electromagnetic microwave radiation that peaks at a frequency corresponding to blackbody radiation with a temperature of 2.70  Kelvin above absolute zero. It comes to observers here from all directions in space.

Standard cosmology interprets the CMBR as relic radiation leftover from a primeval fireball about a third of a million years into the supposed expansion of the universe from a spacetime singularity or near singularity. At this time the universe had supposedly expanded to a radius of a third of a million light years and cooled to a temperature of about 3,000K, at which point it deionised from a proton-electron plasma and allowed photons to pass freely through it. Such photons which allegedly had very high energies and short wavelengths, subsequently became much lower energy longer wavelength photons due to the expansion of space and they now appear to us as the microwave background radiation.

We cannot see the CMBR with the naked eye, but if we could the night sky would not appear dark between the stars because about 400 CMBR photons per square centimetre per second impinge from all directions, they represent a significant cosmic phenomena that demands an explanation.

In Hypersphere Cosmology, all the electromagnetic radiation that does not become absorbed on its journey will eventually return towards its point of origin after about 13 billion years but in a much redshifted form due to gravitational redshifting and lensing by the small positive spacetime curvature of the entire universe.

Cosmologists estimate that our galaxy, the Milky Way, has an age alarmingly close to the supposed age of the universe itself, somewhere around the thirteen billion year mark. They remain adamant that it cannot possibly have an age greater than their estimate of the age of the universe. Yet the Milky Way contains the so-called Methuselah star (HD 140283), whose apparent longevity does seem to severely challenge the cosmic age limit.

The average surface temperatures of all the billions of stars in a galaxy or a galactic cluster adds up to something resembling a blackbody radiation source at about 3,000K when seen from a cosmic distance.

Thus, the CMBR we observe in this region of the hyperspherical cosmos may well have originated from this region and reconverged back here in highly redshifted form thirteen billion years later. Observers in a deep intergalactic void may not observe any CMBR at all.

The following two diagrams show the combined effects of Hyperspherical Lensing and Hyperspherical Vorticitation. Hyperspherical Lensing brings electromagnetic radiation to a focus at the antipode point to its emission. Hyperspherical Vorticitation moves the source of emission to its antipode point in the same period. The first diagram shows this effect in the reduced dimension surface of a sphere representation of a hypersphere, and the second shows it in the reduced dimension ‘two-ball’ representation of a hypersphere. Thick arrows represent the movement of the source due to vorticitation; thin arrows represent the paths of emitted radiation.

Hyperspherical vorticitation will send this galaxy to its antipode point in the universe in a period of 13 billion years. Light emitted from this galaxy will also travel to the same antipode point in the same period and appear as incoming light. The galaxy travels in just one direction, the light travels in every direction. The incoming light will appear highly redshifted from stellar surface temperatures to 2.70 K.

Hyperspherical lensing will make the incoming light appear to have come from a surrounding sphere with a diameter very much larger than the antipode distance but compressed into a smaller field of view and thus multiply imaged. This will effectively smear out temperature variations and absorption and emission lines to yield a CMBR with blackbody radiation characteristics as shown below.

Redshift-Distance-Apparent Distance Graph. Vertical scale = distance, antipode distance at 1. Horizontal scale = Redshift.

Red line = Redshift - Distance relationship. Green line = Redshift - Apparent Distance relationship.

Note that the Apparent Distance of a Redshift = 0.625 source gives an almost exact figure for the Antipode Distance of the universe.

Sunday, 14 November 2021 19:36

Novblog 2021

Novblog 2021

Remembrance Day. In the UK, on this eleventh day of the eleventh month we traditionally stand for two minutes silence at the eleventh hour, to remember those fallen in war. This began after WW1, ‘The war to end all wars’, which somehow ushered in a century of wars instead. It seems also a time to reflect on future conflicts that now seem inevitable.

COP26 has predictably ended with universal agreement that Something Must Be Done, but that nobody needs to oblige themselves to do anything they really don’t want to.

I'm getting the feeling that, historically, COP26 will mark the beginning of serious universal appreciation of the problems but that insufficient action will follow until the problems worsen and the costs of inaction by the big players start to hideously outweigh the costs of radical action even in the short term. That seems normal for Homo Sapiens. 

Our species suffers from the morality paradox. Telling others what to do and then not doing it yourself usually proves the best course of action.

I think we can now confidently make three predictions about the coming decades; global temperatures will rise well past 20C, human-made catastrophes and wars will multiply hugely in frequency, and by mid to late century, world human population will have decreased markedly from current levels. Mind the cull.

As I listened to the results of COP26, a friend put on an old prophetic 1969 King Crimson track.

Cat's foot iron claw

Neuro-surgeons scream for more

At paranoia's poison door.

Twenty first century schizoid man.

Blood rack barbed wire

Politicians' funeral pyre

Innocents raped with napalm fire

Twenty first century schizoid man.

Death seed blind man's greed

Poets' starving children bleed

Nothing he's got he really needs

Twenty first century schizoid man.


Delayed Choice Quantum Eraser Ansible?

Perhaps worth a try, the Elder Gods may well maintain Cosmic Indifferentism, but some lesser aliens might reply.

See here


Distraction Hobbies.

Lithonian Space Navy.

The shipyards of Lithonia have closed for the winter along with our holiday lodge but working in them has provided  a stimulating distraction from reading and writing during the social isolations and lockdowns of covid.

An arms race with surrounding planetary civilisations has led to the development and deployment of new classes of Lithonian warship.

Herewith the LSN Flagship Draconia and two escorting SMVs, stealth missile vessels.

The Draconia has a standard silicate hull hewn from the rocks of the metal poor beach world of Lithonia and it carries an array of long and short range weaponry forged from scavenged coat hooks, dismantled electric razors, metal scraps, and vape accessories.

The SMVs have tougher hulls selected from huge unworked slabs of seaworn vesicated basalt and they rely on speed, stealth, and rock armour to close with opposing vessels.

I can foresee a sprawling boardgame evolving out of all this in the fullness of time, it will probably require a fair area of the beach to lay it all out on.

I used to make ships from plastic kits over half a century ago but always found it more interesting to discard the instructions and create something new. Now I eschew plastic altogether and take inspiration from whatever more durable junk comes to hand and eye. Having enjoyed the first one, I figured that I may as well start on my second childhood early.

Herewith the fleet so far.


Monday, 08 November 2021 19:37

Delayed Choice Quantum Eraser Ansible

Delayed Choice Quantum Eraser Ansible.

The following thought experiment shows that in principle instantaneous communication remains possible over any distance, including interstellar and intergalactic distance; and further that this need not lead to paradoxes or causality violations in a universe with finite a lightspeed; and further that something akin to a cosmic internet probably already exists.

Consider what a delayed choice quantum eraser can do: -

Light from the Source passes through a Double Slit. The Spontaneous Parametric Down Converter Crystal splits each quantum of light into two Entangled quanta, each of half the energy of the original, and these quanta follow divergent paths.

The quanta which diverge upwards meet at a nearby Interference Detector which could in principle consist of a simple screen. The quanta which diverge downwards go through a suitably sophisticated ‘lens’ arrangement which can focus them at any distance including theoretical infinity.

Because of the entanglement between the quanta  which go to each of the separate detectors, any action at either detector site which destroys the interference pattern will instantaneously destroy the interference pattern at the other site no matter how far apart they lie.

Simply turning one of the Interference Detectors on and then off will cause the other detector to show an on and then an off signal and thus the whole arrangement can transmit binary code instantaneously over any distance.

This need not lead to paradoxes or causality violations in a universe with finite a lightspeed.

Imagine two groups of aliens, A and B, living on planets a hundred light years distant from each other. When A receives light from B it knows that the light left B a hundred years ago, and when B receives light from A it knows that light left A a hundred years ago. If either A or B tries to send an ordinary lightspeed message to the other, it will take a hundred years to get there, and a spaceship journey will take at least a hundred years at minimum.

However, if either A or B detects Ansible light from the other and decides to modulate its reception by alternately directing it into an interference detector and not doing so, then the other will notice a signal at the time at which they sent the Ansible light.

Thus, it can appear as if each party sends a signal back into the past, but the ‘past’ to which they send it lies a hundred light years away in space, so the space and time cancel each other out.                        

d = sqrt(s2 + (ict)2(Minkowski, after Pythagoras.)

Absolute spacetime distance = sqrt(space2 – (lightspeed x time)2 )This can equal zero.

In practise if two alien civilisations, separated by a hundred light years, simultaneously came up with the idea of Ansibles and both guessed the same most likely frequencies to use, then they could both start exchanging binary code immediately. They would not have to wait for a hundred years for the Ansible light to pass between them.

According to  the current standard cosmology, life has had over ten billion years to develop in the universe. According to Hypersphere Cosmology it has had unlimited time. In the first case a universe wide Ansible network probably already exists, in the second case it almost certainly does.

We just need to hack into it and decode it. That, rather than the discovery of Faster Than Light drive, may constitute the real entry requirement to interstellar society.

Monday, 25 October 2021 15:20

Octblog 2021

Octblog 2021


The make or break Climate Conference in Glasgow looms, and there seem few grounds for optimism because it looks set to avoid the underlying issues.

I just sat through an edition of the BBCs Question Time and in response to the question ‘The Environment or The Economy?’ all the assembled politicos predictably said ‘Both’ and then proceeded to fantasise about how we could all both eat our cake and have it. This probably reflects the attitude of most humans currently.

Unfortunately, the science and the maths say something completely different. Business as usual cannot continue for much longer. None of the technical fixes we currently tinker with or theorise about will make much difference, the economy and the environment will both decline for many generations to come now. They will do so because since WW2 everything has gone exponential in population, consumption, production, pollution, and environmental damage, and we have already overshot the limits of the resources that this planet can provide and the damage it can absorb whilst sustaining us.

Progress has failed. Analysts of ‘progress’ in terms of wellbeing and life satisfaction generally conclude that developed countries achieved a maximum of wellbeing and life satisfaction sometime in the 1970s. Since then, economic growth has begun to erode general wellbeing and life satisfaction.

Global economic activity cannot grow or even continue without provoking the environmental changes that will undermine it and cause a gradual or catastrophic decline.

Humanity has a choice. It can either choose an acceptable level of degrowth, or it can choose to see what level of degrowth becomes forced upon it by inaction.

Involuntary degrowth could easily mean returning to Dark Age or Neolithic level economies and civilisations after resource conflicts, mass migrations, and social order collapses have devastated industrial societies, and the four horsemen of apocalyptic War, Famine, Pestilence, and Megadeath have done their work.

Voluntary degrowth to a sustainable level might just prove achievable if humanity collectively aimed for something like the 1970s and preserved some but not all the technical innovations made since then. This would of course involve levelling the developing world up to that. We should for example, keep the internet as a valuable communication and information resource, but scrap social media entirely.

Imagine a world in which everyone has the basics but where long distance travel and trade have become a rarity, the burning of fossil fuels has become illegal along with private transport, a local rather than a globalised world, where very little except information moves between continents, a world in which people lead simpler material lives but work less and have richer social and cultural lives.

Interview with a Wizard.

The first series of thirteen Blumberg-Carroll email interviews came to over eighty thousand words, enough for a book.

We seem to have pioneered the literary equivalent of a late night chat show series, except that here the interviewer and the interviewee have each had at least whole day to think about each of the 365 questions, so expect some penetrating questions and provocative answers. Lionel Snell has graciously offered to write a preface.


I wonder what casualty allowance the UK government has given itself for its current policy of relaxing Covid restrictions and precautions and relying entirely on vaccination. Scientific opinion and the political opposition have turned against it.

As the new wave of infections and deaths rises here, it does seem surprising that the government and the media do not give greater publicity to the percentage of the unvaccinated amongst the newly hospitalised and dead.

Lastly, leaf fall from the deciduous trees around here seems oddly delayed this year, and look who seems to enjoy the unseasonable climate:-

I may have done them a favour; Greece may well become too hot for their kind in years to come.

Tuesday, 05 October 2021 09:24

Quantum Chess

Quantum Chess, or WPD Chess, (Wave-Particle Duality Chess).

Herewith a simple way to represent quantum effects in a game of chess by the addition of a small number of additional rules.

All the normal rules of chess apply and in addition: -

1) Any piece that can move to two or more empty squares can move to two of them at once by splitting the piece down the middle. (Either saw all pieces in half beforehand or use two pieces in place of each one at the start, on a board which can accommodate two pieces per square comfortably.)

2) Whenever a half piece interacts with an opposing piece, either by taking it or being taken by it, the other half of it instantly re-joins it, and both halves then occupy the position of the taken piece or both halves become eliminated if one of them gets taken.

3) A Player moving a half piece must also move its corresponding other half.

4) Halved pieces occupy squares and block movement and support and threaten other pieces in the same way as whole pieces.

These four rules lead to a challenging but playable game that has many intriguing properties.

A whole piece represents the piece in ‘particle’ mode, it has a definite position. Halved pieces represent the piece in ‘wave’ mode, it could occupy either position, but it will come to occupy a definite position only when it interacts.

At the end of a game, a record of the game that does not include the moves of all the half-pieces that ‘disappeared’ because their corresponding half interacted, will still look like a standard game of chess although some of the moves may appear as legal but as very strange choices.

The following picture shows a representation of Quantum Chess in the early stages of a game, using doubled pieces rather than pieces sawn in half. (The numbers on some of the pieces make it easier to remember which pieces go together.)

White has taken the Black Kings Pawn with Kings Knight.

Black has replied by moving its Kings Bishop to two possible places simultaneously, one possibility puts White’s King in check, the other possibility threatens White’s Knight.

White now has a quantum problem. White must take its King out of check by either moving it or by moving its Queen or Queen’s Bishop to block, or its Queen’s Bishop Pawn to both block and threaten the ‘possible presence’ of the Black Bishop.

Black can then take the White Knight and the entire Black Bishop will then occupy the White Knight’s square, thus removing any threat to its ‘possible presence’ by  the White Pawn.

Black has effectively used a quantum trick to threaten two pieces at once with two possible presences of its Bishop and then taken the White Knight. The result of this manoeuvre looks like a legal move in ordinary (particle) chess, but White’s failure to  protect its Knight remains inexplicable if the match record does not include the possible wavelike moves that later disappeared.

Quanta take off and land like particles, but they seem to fly as waves. We can only observe their particle behaviours but from their particle behaviours we can infer their wavelike behaviours.   

Imaginary phenomena can have real effects.

Herewith the world’s first fully operational Quantum Chess Piece!

Note the cunning base design which gives extra stability to each of the two halves and helps to secure them together.

Handmade from an ornamental curtain rail endpiece, a length of 2x2 inch softwood, and a disc cut from a length of batten, it took hours with chisels and files, followed by a delicate sawing in half. I don’t have a lathe. I doubt that I’ll try making the other 31 pieces this way.

If anyone wants to manufacture these in say plastic, please let me know, the pawns, rooks, queens, and kings would only require one mould each to this design as they have rotational symmetry about their long axes, the bishops and knights would probably require two moulds for each complete piece.

There follows some general musing on the physics/metaphysics of Quantum Chess: -

Probability – the two halves of each piece represent, in some sense, the probability of its presence on a particular square.

‘Quantum Entanglement’ – the two halves of each piece remain instantly linked over any distance by rule 2 which states that whenever one of them interacts with another piece by taking it or becoming taken by it, then the other half of it undergoes a ‘Wave Function Collapse’ and instantly re-joins the interacting half.

‘Quantum Superposition’ – we can regard the two halves of a piece as representing a quantum superposition when they occupy the same square.

‘Quantum Ontology’ – this model offers as many questions as answers about the reality underlying quantum phenomena: -

Does a piece in wave mode ‘really’ exist in the same way as a piece in particle mode? The wave modes can undoubtedly influence the progress of play, but we can still create a record of the game that does not include them or break the rules of ordinary ‘particle chess’.

Does the wave function collapse of an interacting piece look remarkably like retroactive causation?

If each particle piece can do two different things at once by splitting into two wave modes, does this imply Multidimensional Time?

Technical notes on play -  the rigorous application of the standard rules of chess plus the additional quantum chess rules, only allows pawn particles to split into waves on their first move when they can move one and two squares forward simultaneously. There seems no reason to forbid a player moving the two wave components of a particle piece to the same square to recreate a single particle piece, but this will rarely prove advantageous.

Checkmate and ending the game – Placing the opposing whole King in checkmate wins the game and so does placing either half of an opposing King. Note that a player with half a King in apparent checkmate may have the option of taking an opposing piece with its other half thus evading checkmate. At the end of a game players can elect to collapse any remaining wave positions by moving either one of two halves of the same piece to a square occupied by one of them, but the two halves of a halved checkmated King must move to the square in which checkmate occurred. This restores the semblance of an ordinary game of standard chess.  

Quantum Chess, Q-Chess, WPD-Chess, Copyright Peter J Carroll 09/10/2021 

Thursday, 23 September 2021 10:06

Septblog 2021

Septblog 2021

Esoteric Horticulture.

At Chateaux Chaos the Autumnal Mandrakes have sprouted surprisingly early, before autumn equinox, with Circe already a foot into the sky and Boris and Igor just getting started. This year they will have an experimental outdoor season, note the slug repellent copper wire around their new home. Let us hope that the increasingly unpredictable climate does not bring any early frosts.

Magical Book.

The world’s most illustrious academic historian of the esoteric arts has prepared a splendid preface for the forthcoming Classic Edition of ‘Liber Null and Psychonaut’, the book that initiated an epic paradigm change in magical thought. Since its first publication this book has attracted both aggressive dismissal and laudatory recommendation. A new paradigm will always make some people very angry and other people ecstatic. Weiser’s Classic Edition which includes some new material, will appear sometime next year.


Retirement from most of the more time demanding business activities has led to a life of concentric holidays and research sabbaticals with frequent sojourns in remote Wales where  a lot of wildlife still thrives. Herewith an adder sunning itself on some concrete. Some bright spark decided that this area would provide adders with an excellent habitat and released a few hundred captive bred specimens some decades ago, now we have thousands of them here. Shoes now seem essential in the dunes, but on the upside, they do bite dogs that people don’t keep on leads.

Herewith also a friendly cricket. Until recently I could always hear their high pitched chirping at night. This year my youngest daughter, a professional ecologist, told me that they were making their customary racket, but I could barely hear them. Oddly, I found this a greater portent of mortality than my need for reading glasses, something may soon disappear from my universe forever as my faculties fade. I seem to have just eaten a pot of dog ice cream having mistaken the picture on the carton for a polar bear. I may have only few decades more to discover the remaining secrets of the universe and the quantum realm presents bizarre difficulties akin to juggling spaghetti whilst blindfolded in a hailstorm.

Quantum Chess?

During discussions of the concept of dimensions with my interviewer/biographer, the following analogy or thought experiment emerged to illustrate the possibilities of multiple time dimensions.  

The record of a game of chess provides its temporal dimension, it shows what happened over time. It does not show the moves not taken. However, we could have multiple timelines in which alternatives moves occur. A player unable to decide between two moves can elect to make both of them by replacing a single piece by two smaller shadow pieces in different positions with the provisos that whenever one of the shadow pieces interacts with an opposing piece, the other shadow piece becomes removed, and a player moving one of the shadow pieces must also move the other corresponding one as well. Otherwise, all the usual rules of chess apply.

Now here comes the really strange bit: -

Afterwards, we could write a single timeline move sequence to describe the whole game that does not include the shadow pieces that became removed! However, an expert would probably notice something very odd about some of the moves chosen when looking at the record afterwards. Such a Quantum-Chess analogy can in principle explain many of the mysteries of quantum mechanics and magic. What may have happened, and what could happen, can affect what does seem, to us, to have actually happened. ‘Imaginary’ phenomena can have very real effects.

Afterthought – simply sawing each piece of a chess set down the middle and numbering the two halves the same provides an easy way of preparing a quantum chess set. The two halves of each piece begin the game on the same square.

Sunday, 15 August 2021 13:10

Augblog 2021

Augblog 2021

Dragon seen in Wales. I met a representative of the dragon races in the dunes near our retreat in remotest Wales. She said that despite having to work on smaller scales and less ambitious projects than in the Mesozoic Era, she remained confident that her kind would regain world domination after hearing our IPCC report on anthropogenic global warming. Another forty gigatons of carbon dioxide per annum for a few decades more should do the trick nicely, she continued. Its not so much the seemingly minor average temperature increases but the resulting exponential increases in extreme weather events that will render your civilisations unviable as your agriculture collapses and you start to massacre each other wholesale. All this will give dragonkind splendid new opportunities, she cheerfully concluded.

Afghanistan. I went through it on the Hippy trail back in the late seventies. It seems a mistake to classify it as a nation for it consists of tribalized territories that no central authority or external power has ever really controlled. Due to western medicine its population has mushroomed far beyond the agricultural carrying capacity that the bone dry and often freezing territory offers, and cultural and religious attitudes inhibit the adoption of industrial or post industrial development. It has valuable mineral resources however, as the Chinese have noticed. A descent into dark ages barbarism and theocracy with Kalashnikovs now seems inevitable. A Taliban dictatorship seems unlikely to build a nation, more likely a fragmentation back to tribal rivalries will occur. The Brits, The Ruskies, and the Yanks all failed there. The Chinese may eventually become tempted to go in hard for the strategic minerals and they won’t shy away from eradicating the culture and as much of the population as that requires.

Lithonian flotilla. Beach detritus, DIY leftovers, and vape accessories continue to provide resources for the growing Lithonian space fleet. Note the inclusion of the Retro-Dreadnaught  in this flotilla. Due to occasional relativistic navigation errors, vessels dispatched on weeklong voyages sometimes come back hundreds of years later, and the Lithonian fleet consists of vessels from many eras.

Microcosm, Psi, and Macrocosm.

The quest for a sub-quantum geometry that can explain quantum physics with gravity, and psi and their relationship to hyperspherical cosmology continues here; -

At present it consists mainly of a list of qualitative ingredients for a potential description. These include Cramer’s Transactional Interpretation of Quantum Physics, my Three Dimensional Time hypothesis, Wolff’s Wave Structure of Matter, and some higher dimensional geometry.

Fitting that lot together and rendering it quantitative certainly presents a challenge, may Azathoth modulate my neurones.

Friday, 23 July 2021 21:10

Julblog 2021

Julblog 2021

Covid Strategies. I keep a close eye on the Worldometer report,

particularly on the Deaths per Million of population column to see how various strategies or lack of strategies tried by various governments affects mortality outcomes.

For a relatively wealthy country with a very high population density, an old population and massive connectivity to the rest of the world, the UK has not done too badly in the rankings.

Here we have just embarked on a gamble to achieve something like herd immunity through vaccinating most adults and now allowing children to acquire immunity through mild infection. Boris Johnson gambled on Brexit and then gambled on throwing vast resources at the vaccine effort and he won both times. Let us hope he has got this right. In the absence of another new variant that can jump the vaccine barrier with impunity, he probably has.

Magical News. Work continues apace on the upgrade for the Classic Edition of Liber Null & Psychonaut. From more recent anthropological and ethnographic research it has become apparent that Animism provides the wellspring from which most magical traditions arise and that Shamanism constitutes just one manifestation of animist ideas, in contradistinction to the theories of Mircea Eliade. The forthcoming classic edition will also contain  upgrades to modern Chaos Magic rituals.

Conversations with a Wizard, a mega-interview with an esoteric journalist, now begins to approach book length.

The microcosm chapters of the Occultaris gradually evolve. The mutual dependency of the microcosm and the macrocosm becomes increasingly apparent. The quest for a theory of quantum gravity seems doomed within the current framework of quantum field theory and the standard cosmological model. Rather it seems that quanta and fields must have a co-fundamental mutually dependent existence and a similar higher dimensional geometry to the entire universe as in Hypersphere Cosmology. Moreover, fields must act non-locally even if waves in them only propagate at lightspeed or less. The properties of the apparent parts depend upon the whole and everything lies far more intimately connected than conventionally thought. This seems to go way beyond Mach’s Principle, Entanglement, Quantum Handshakes, and so called Morphic Fields. 

Amazing Cosmology News just in: -

The filaments of galaxies that stretch across the cosmic voids have measurable spins that the Standard Cosmological Model cannot explain.

Hypersphere Cosmology uses the Godel metric W = 2sqrt(piGd) in which ‘Matter everywhere rotates relative to the compass of inertia with an angular velocity of twice the square root of pi times the gravitational constant times the density’.

This seems highly likely to supply an explanation for the new observation of the largest spinning structures ever seen.

Friday, 11 June 2021 11:34

Junblog 2021


Weisers, the publishers of the first combined edition of Liber Null & Psychonaut, plan to bring out a Classic Edition next year of this paradigm shifting book of magic which has remained in print and appeared in a considerable number of other languages since its first publication. The new cover design looks great, the contents will get an upgrade, and a suitably illustrious figure has volunteered to write a foreword to the new edition.

Work progresses on The Occultaris, a treatise on Natural Philosophy. This seems likely to send shockwaves through the fields of both science and magic which have become somewhat unnecessarily estranged for the last couple of centuries. The Occultaris explores the higher dimensional geometry of the Macrocosm and the Microcosm (The Universe and The Quantum Domain) and the esoteric consequences of a new model of each.

On a lighter note, ‘Conversations with a Wizard’, or something like that, may eventually appear as a book. What started as an e-mail interview has got a bit out of hand during lockdown. It has grown to about a hundred pages of biography, travelogue, recent magical history, and a lifetime of anecdotes and observations, and we haven’t finished yet.


Beach detritus and DIY leftovers continue to inspire craftwork at our lockdown hideaway on a Welsh shore. Herewith the latest addition to the Lithonian task force, a hyperspace missile cruiser featuring a large bronze marine bolt which polished up nicely to form the bridge.


The EU makes an ass of itself over an UK-Eire border that nobody wants. Perhaps it seeks revenge for Brexit or to give notice that it will create trouble for any other country that tries to escape its synarchist clutches. The political capital of the EU has hit a new low with its dysfunctional response to the Covid crisis with the majority of the population of the EU now professing dissatisfaction with the entire rotten institution.

Historically, Catholicism has created a bloody fault line between Ireland and Britain. After partition, Eire became a virtual theocracy run by a viciously repressive and primitive manifestation of Catholicism that hideously maltreated countless women and children and arrested economic and social development. Thankfully, that has all become exposed now, and the clergy discredited. The Irish have turned away from ancestral faith and become a modern democratic and largely English speaking people.

The old atrocities and battles that took place between Ireland and Scotland, between England and Wales and between England and Scotland no longer influence relations between them. The war between Britain and Southern Ireland ended almost a century ago.

Does it now make political, economic, and geopolitical sense to extend an invitation to Eire to join the United Kingdom?

Alternative Physics

Anyone for or against a Clifford Torus or a 3-Torus in curved three-dimensional space and curved three dimensional time as the basis for a Hypersphere Quantology without quantum chromodynamics?

Wednesday, 02 June 2021 21:27

Particle Spins

Unlike the Hypersphere Cosmology model on this site which has achieved maturity and a fully quantitative exigesis, this investigation into the quantum microcosm remains speculative, experimental, qualitative, and a work in progress. All criticism and collaboration welcomed by email.

Descriptions and Explanations. Any Explanation of phenomena depends on Descriptions of underlying phenomena. Thus, for example, we explain chemistry in terms of atoms, and we explain atoms in terms of quantum physics. However, we have no satisfactory description of the phenomena underlying quantum physics yet. These musings experiment with descriptions of possible spacetime geometries underlying quanta and quantum fields. Any such description should explain the existence and behaviour of known particles and fields and if possible, make novel predictions.


Table of fundamenal particles modelled as toruses.



Table of simple partice interactions

This model begins with the simplest quantum, that of the neutrino, modelled as a spinor based on a Clifford Torus that rotates twice in the toroidal mode for each poloidal rotation.

This spinorial rotation allows for only two orientations of the poloidal rotation with respect to the direction of travel which lies orthogonal to it as neutrinos always travel at lightspeed. These two orientations correspond to neutrino (left) and antineutrino (right).

This spinorial rotation subtends a wavelike series of twists throughout all spacetime that extends across the universe and creates a field surrounding the particle.

Charged quanta result from rotations involving the pseudo-spatial plane of imaginary time, poloidal rotations give rise to positive and negative electric charges and toroidal rotations give rise to positive and negative nuclear charges. These also subtend wavelike series of twists throughout all spacetime that extends across the universe and create fields surrounding the quantum.

Quanta do not have a zero-dimensional point-like geometry, they consist of Clifford Tori with a similar topology to Hyperspheres (3-Spheres) except that they have a directionality of spins and propagation.

Quanta arise where incoming waves returning from the rest of the universe undergo a spinorial 3-Rotation and become outgoing waves. Spacetime consists of a single field which can carry several different types of twist or wave.

Electrostatic and Gravitational fields effectively act across any distance but with an effect that diminishes with the inverse square of distance. Fields rather than quantised particles mediate these interactions. Virtual non-quantised ‘particles’ do not exist, although images of them may prove useful in visualising the field geometry.

Photons consist of quanta of spins that become exchanged between fermions, these always propagate at lightspeed and always have a repulsive effect with both fermions recoiling. They do not carry electric charge and neither do electric fields affect them. We only regard them as the quanta of electromagnetism because we only observe their interactions between charge carrying fermions.

Gravitons appear as gravity waves when enormous masses accelerate, and they propagate at lightspeed with an exclusively attractive effect. Ordinary gravity works via fields.

Exchange particles such as photons and gravitons and all other bosons have a particle-antiparticle configuration, the exchange of such quanta occurs as a quantum handshake as in the Transactional Interpretation of Quantum Mechanics. Field effects arise in the same way although at the lower energies involved they do not give rise to quantised boson particles.

This model accommodates an additional charged boson to complement the W+, W-, and Z. This X17 boson has probably already appeared in the decay of Beryllium 8.

In this model all spins remain conserved on the basis that + and – equals 0, allowing for both particle creation and annihilation, energy permitting. Generation or ‘flavour’ remains conserved over a complete cycle of particle-antiparticle creation and subsequent decays.

The whole of QCD becomes discarded, gluons do not exist. Exotic transiently stable baryons and mesons simply have extra spins about the basic baryon or baryon-antibaryon configurations.

The mass-energy equivalence and the equivalence of inertial and gravitational mass arise from the effect of all the other spins upon the xy/wz spinors of quanta.

All particles extend fields right around the hypersphere of the universe, these converge at antiparticles at their antipodes. This explains the apparent lack of antimatter in the universe.

In/Out waves of spin converge and undergo 3-rotation to make non-point particles of finite size.

Every particle depends for its properties on the whole of the rest of the universe.

The Ubiquity Constant and the quantisation scale depend somehow on the macrostructure of the universe.

Quantised ‘kinks’ in space can only move at lightspeed, or less if they embody the temporal electric or nuclear spins which confer mass.

The Higgs mechanism does not apply. If the tiny 125 GeV blip corresponds to anything it probably corresponds to a transient  ZZ di-boson.  

Volume = 2pi2r3 for both a hypersphere and a (Clifford?) horn torus.

Does the local field geometry change from a vorticitating 3-Hypersphere to two rotating 3-Tori upon particle-antiparticle pair production and thus confer particle directionality?

Can Macrostructures modulate waves to carry structural information?

If so, all manner of psi effects and morphic field effects become possible and the universe will exhibit Stochastic Holism.

Three Dimensional Time Resources.

Herewith a selection of some of the main papers on 3D Time and SO(3,3) spacetime.

See also original paper, later published by the Royal Society.

Herewith a fascinating piece of speculation from Gerard 't Hooft

See the 'fast variables' and multidimensional toroids.

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