Some years ago there used to be much talk about the universe possessing ‘matter/anti-matter symmetry’, that is, that spatialities of our type might correspond to an equal number of spatialities where matter has its electrical charges reversed – the electron being positive and the proton negative. Since no anti-matter spatialities have been found one hears little about this idea nowadays. Well: Ereton’s calculation has led me to construct, along somewhat similar lines, a theory of my own which I shall present to the Explorers’ Club on my next return home. In my theory the universe exhibits ‘space/anti-space symmetry’, or if you like, ‘emptiness-solidity symmetry’ to use the bipeds’ terminology, so that if one passes the ‘mid-point’ of the universe, as it were (not a very accurate way to speak of transfinity, I know), then one enters a complementary series of spatialities where there is not primarily void containing islands of matter, but primarily solid matter containing occasional bubbles of void.
I’m pretty confident that my theory will make quite a splash when I announce it. It’s amusing to think how one might explore these solid spatialities. Just imagine me and my antronoscope as I bore endlessly through the rock in search of cavity-worlds!
Well, I think that’s about enough for now, as I’m very tired. I’ll burst this lot to you without delay, and then I’m going to get some much-needed sleep. Yours, and let me hear from you soon: Utz.
My poor Utz: While it was delightful to hear from you after so long, I’m afraid that your ravings about a ‘philosophic victory’ only go to show that you are suffering from hysterical boredom. Your story, let me say at once, was most entertaining, but apart from that all you have done is to blow up a simple incident into some sort of cosmic hot air which you revealingly admit to be all in your imagination. As for your theory of anti-space it is purely hypothetical and has no solid evidence to support it (the pun was unintentional). These fanciful theories never do turn out to correspond to reality anyway.
I have warned you many times about the monotony of the universe at large and now I think it’s beginning to get at you. Let me urge you to come directly home, for I think the rest will do you good. I might even find a part for you in my next play, since you obviously have a misplaced talent for the dramatic. Your ever-loving friend: Asmravaar.

Transfinite cable to Venerable Gob Slok Ok

Please collect

DEAR REVERED Uncle,
I trust that the surprise and distaste you will feel on receiving this cable will be decreased when I tell you that I am sending it from the 10 6248th series. Since many, many infinities of solid rock and metal therefore separate us, you need not fear an attack of the disgust and revulsion which my presence seems to cause you.
I am contacting you because, whatever your feelings for me personally, you are still one of the most noted of scholars, whose professional opinion I value, and I cannot refrain from notifying you of a discovery of mine, even though I know how much you disapprove of my life as a cosmic explorer.
Having transmigrated myself into the 10 6248th series of solidities I proceeded to tunnel strongly through rock which proved, for an immense distance, to be unbroken. I was, I should add, in a region far removed from any of the cavity-clusters which usually abound in this series, a desolate region which would normally remain unexplored for all time. My reason for tunnelling in this direction, I say without shame (at the risk of enraging you, Uncle) was sheer caprice.
At any rate my antronoscopes registered the unexpected presence of a very large cavity so I hurried to investigate. It transpired that this cavity was the largest I have ever encountered or heard of. The mean diameter is ten million miles!
Let me repeat that, Uncle, in case you think there has been a mistake in transmission. Ten million miles! Not only that but the cavity contains a rich biological life and has several intelligent species scattered around its circumference, none of which I have made contact with yet, as I want to await your advice.
The fact is, Uncle, that so far I have investigated only one of these species and it entertains such an astonishing picture of the cosmos that I don’t know quite how to proceed. Let me explain. In a cavity of this size centrifugal gravity works very efficiently. Consequently there is a film of atmosphere about two hundred miles deep upon the walls of the cavity, but the rest is void – pure emptiness.
I should also add that it is almost impossible to see as far as the opposite side of the cavity, for reasons rather too complicated to go into here. Anyway, the upshot is that these intelligent beings, who live, of course, within the atmosphere, are aware that a vacuum lies above them after the atmosphere peters out (being compressed, of course, by the excessive gravity). But their world is so large, and so impossible for them to explore fully on account of its size, that they possess no idea that it constitutes the inner surface of a sphere! (Or near-sphere.) They suppose that the void above them extends without limit – that the cosmos is an infinity of vacuum with only islands of solid matter in it .
It was some time before I was able to comprehend a belief so bizarre and inconceivable. And yet now that I have managed, after a fashion, to grasp it, I find the idea rather compelling and fascinating, and I can’t help wondering whether there might , among all the solidities as yet unexplored, be one consisting of almost nothing but emptiness?
I hope, Uncle, that you can forget our differences for long enough to give your attention to this question. We are both, remember, animated by a love of knowledge and I would listen to your opinion most earnestly. Do you think that a nearly-empty solidity – one would, I suppose, have to call it a ‘spatiality’ – is possible?
And apart from that, should I attempt to contact the beings in the giant cavity, or should I leave them alone with their delusion?
Your perplexed and respectful nephew, Awm.

Transfinite Open Cable Receipt Awm Oosh Ok

Transmit 10 62--range

Reply not prepaid

DEAR Nephew,
Not only is your idea of a vacuous infinity inconceivable, it is also downright silly and utterly impossible, as well you know.
In a way it’s a pity we don’t live in such a world because no type of propulsion could operate in a void, since there would be nothing on which to gain traction, and that would at least prevent you young grubs from gadding about the cosmos with all the irresponsibility of flame-flies.
I have placed on record your discovery of the curiosity, namely the giant cavity, and I suppose I should thank you for that trifle. However I feel it is amply repaid by my deigning to reply at all to your cable, which otherwise I would have ignored.
If you solicit my opinion then you must accept it on any subject I care to name. Let me be quite specific: your larvae, of which you seem to generate an indecent number with each visit to your long-suffering family, are hatching without the benefit of a father to guide them in the rituals of the swarm, and seem most unlikely to grow into decent, low-crawling worms. Your wives grow fat and lazy without the discipline which only a strict husband can provide, and the affairs of your estates are going to rack and ruin. I thank God that your father is not alive to see how his son has turned out.
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