The Infinite in Both Directions
The Raëlian canon describes an infinite hierarchy in which inhabited worlds exist above and below every scale, with larger forms of life experiencing time more slowly. Allometry, relativity, and fractal cosmology offer suggestive analogies but do not establish that ontology. This essay defines the parallels, the category differences, and the speculative consequences without treating resemblance as confirmation.
An elephant is slower than a fly. Not slower on its feet — slower in its being. Its heart beats about twenty-five times a minute where the fly's wings blur past counting; it lives for decades where the fly lives for days; and if you could ask it, the elephant would tell you that a summer afternoon is a short thing, while for the fly the same afternoon is a long and eventful life. No physicist is needed to know this. A farmer knows it. A child who has watched both knows it. It is one of the oldest and least controversial facts about the living world: the bigger the creature, the slower its clock.
This article is about what happens when you refuse to stop there. When you take that ordinary observation — the elephant and the fly — and follow it patiently in both directions, past the fly to the mite and the cell and the atom, past the elephant to the whale and the mountain and the planet and the star, and ask whether the rule keeps holding all the way up and all the way down. It is the claim of the Raëlian canon that it does; that the rule has no natural stopping point in either direction; and that a universe in which it holds without end looks nothing like the one modern cosmology describes and a great deal like something older, stranger, and — this essay will argue, more defensible than its reputation suggests. The proper modern name for that something is fractal cosmology. The canon has its own name for the clock rule at the heart of it, which the Wheel of Heaven project calls the Mass Effect . And the whole picture rests on a single word that Yahweh used twice, in two different places, to describe the shape of reality: infinite — infinite in space, infinite in time, and infinite in the ladder of scales that runs through both.
What Yahweh said, and where he said it
The picture arrives in two installments, and the setting of each matters.
The first comes at the end of the first message, delivered over six days in 1973 in the crater of a French volcano.[a] Yahweh has spent most of a week walking Raël through the Hebrew Bible, re-reading its miracles as technology. Then, near the close, he changes register entirely — from history to cosmology — and says something that has no obvious connection to anything before it:
Progress continues, and our own research pursues itself with the aim of understanding and entering into relation with the great being of which we are all a part and of which we are the parasites of the atoms, these atoms being the planets and the stars. We have indeed been able to discover that in the infinitely small, intelligent living beings live on particles that are for them planets and suns, asking themselves the same questions as we do. Man is a «disease» of the gigantic being of which the planets and the stars are atoms. And this being is surely itself also a parasite of other atoms. In both directions, it is infinite.
Read it slowly, because every clause is load-bearing. The Elohim — the advanced civilization Yahweh represents — are not, on their own account, the top of anything. They are researchers trying to enter into relation with a "great being of which we are all a part" — a being for whom the stars and planets are atoms. Downward, the same structure: inside the things we call atoms, there are inhabited worlds, with their own suns, their own beings, their own questions — and, the passage implies, their own scientists wondering whether they are alone. Humanity is a "disease" not in the sense of something wrong but in the sense of something small and alive on the surface of something vast — a microbial film on a body too large to notice it. And the structure does not terminate. Up past the gigantic being are larger beings still; down past our atoms are smaller worlds still. "In both directions, it is infinite."
The second installment comes two years later, and its setting is even more pointed. In the second message, Yahweh takes Raël off the Earth to a base situated "relatively near the earth" — not the home world, not the Planet of the Eternals, just an orbital way-station — and there, in a section the books title "Neither God nor Soul," he lays the cosmology out in full. He begins from a laboratory fact, that intelligent life has been found and proven on the scale of the infinitely small, and builds upward:
Starting from there we have discovered that the stars and the planets are the atoms of a gigantic being, which itself certainly contemplates other stars with curiosity. It is also quite possible that the beings who live on the infinitely small of the infinitely large being and its fellows have known periods when they believed in an immaterial "good god". You must understand well that all is in all. At this moment in an atom of your arm, millions of worlds are being born and others are dying, believing or not in a god and a soul and while a millennium elapses, the gigantic being of which the sun is an atom has had only the time to take one step.
And then, in the very next breath, the sentence this whole article orbits — the one place in the entire canon where the ontology is stated as a law of physics rather than a picture:
Time is in effect inversely proportional to the mass or rather to the level of the form of life. But all in the universe is living and is in harmony with the infinitely large and the infinitely small. The earth is living, like all the planets, and, for the little mould that is humanity, it is difficult for you to realize it because of the time lag due to the enormous difference of mass which prevents you from capturing its palpitations.
There it is. Time is inversely proportional to the mass, or rather to the level of the form of life. The elephant and the fly, promoted to a cosmological principle and extended without limit in both directions. The thousand-year step of the gigantic being is the same fact as the fly's long afternoon, read at the top of the ladder instead of near the middle. And the reason we cannot feel the Earth living beneath us is not that it is dead but that its clock is too slow for ours to register — the "time lag due to the enormous difference of mass."
From this single law Yahweh derives, in the paragraphs that follow, a whole theology of subtraction. If the universe is infinite it "cannot have a centre," so there is no privileged place for a heaven or a throne (ETTMTTP 2:33 ). If matter is eternal — "nothing is lost, nothing is created, all is transformed" — then asking what there was "at the beginning" is a category error, "a stupid question which proves that the person who poses this question has not taken consciousness of the infinite which exists in time as in space" (ETTMTTP 2:34 ). And the difficulty most people have in swallowing any of this is itself diagnosed: the "finite" human brain wants a universe "well defined, well delimited, bounded in a way in the image of his brain," and recoils from an infinity that makes man "not something exceptional, but some being situated at some period in some place of the infinite universe" (ETTMTTP 2:36 ). Yahweh even records, with evident pleasure, an image Raël had used in a lecture — of people who deny life on other worlds as frogs at the bottom of their pond wondering whether there is life in the other ponds.
All of it — the centerless space, the beginningless time, the nested living scales — Yahweh compresses into a single glyph, the emblem he says was engraved on the craft:
The emblem you see engraved on this craft and on my suit represents the truth: it is also the emblem of the Jewish people: the Star of David, which means «As it is above, so it is below», and at its center the «swastika», which means that everything is cyclical, the high becoming low and the low becoming high. The origins and the destiny of the creators and of men are alike and linked.
Two interlocked triangles for the spatial claim — as above, so below, the same structure repeating up and down the scales — and a rotating cross for the temporal one: everything cyclic, nothing beginning, nothing ending, "the high becoming low and the low becoming high." Yahweh notes that the pairing is old, that the two symbols appear together in "ancient writings like the Bardo Thödol"[k] and others. He is claiming, in other words, that this is not a new cosmology at all. It is a very old one, remembered in fragments, and he is returning the key.
The rest of this essay asks where the key fits and where it does not.
An observation and a much larger claim
Before formalizing anything, the modest observation has to be separated from the ontology built upon it. Large and small organisms often live at different physiological tempos. That pattern is measurable. The canon makes a much larger claim: the relation continues beyond biology, governs the subjective time of beings at every cosmic scale, and has neither upper nor lower bound.
The first statement can make the second imaginable. It cannot establish it. No general rule of reasoning permits an observation about elephants and flies to be extended through stars, atoms, and hypothetical inhabitants of both. Calling the starting point ordinary does not make the extrapolation less extreme. Nor is there a useful opposition here between empirical laws and mathematical physics: thermodynamics, relativity, and cosmology all move between observation, formalization, and prediction, and all are constrained by where their models have been tested.
The question, then, is not whether mainstream science has already confirmed the Mass Effect under other names. It has not. The useful question is which parts of the canon's picture resemble known scale-dependent phenomena, where the resemblance breaks, and what evidence a stronger claim would require.
The one sentence, formalized
Take Yahweh's sentence at face value and try to write it down. "Time is inversely proportional to the mass." The most literal reading is that the rate r at which a being experiences subjective time, per unit of external time, falls as its mass M rises:
$$ r \propto \frac{1}{M} $$
or, equivalently, the amount of external time T folded into one of the being's own subjective moments grows with its mass:
$$ T \propto M $$
The two are reciprocals; the canon uses the second when it says a human millennium is one step for the star-atom being, and the first when it says the fly-scaled worlds inside your arm are born and die "while a millennium elapses." The Mass Effect wiki entry sets both formulations out carefully, and this article will not repeat that labor. What it will do is press on the word "proportional" — because it is almost certainly not exactly true, and the way in which it is wrong is the most interesting thing about it.
Strict inverse proportionality, \(r \propto 1/M\), is one possible formalization of the sentence, not a measured law. Biology offers a nearby but importantly different body of evidence. Allometry[b] studies how physiological traits vary with body size, and many of those traits are often approximated by quarter-power relations:
- metabolic rate — the pace at which a body burns through the world — scales as \(M^{3/4}\) (Kleiber's law, 1932), so metabolic rate per unit mass falls as \(M^{-1/4}\);
- heart rate falls as \(M^{-1/4}\) (the elephant at ~25 beats a minute, the mouse at ~600);
- lifespan rises as \(M^{1/4}\) (the elephant's decades, the mouse's two or three years).
Multiplying the idealized exponents yields the familiar observation that many mammals have lifetime heartbeat totals of a comparable order of magnitude. It is a rough cross-species regularity, with substantial exceptions, not a universal biological constant. More importantly, it says nothing by itself about subjective duration. A heart rate is a physiological rate; it is not a clock measuring how long a life feels from within.
In 1997 Geoffrey West, James Brown, and Brian Enquist proposed an influential explanation for quarter-power scaling by modeling biological supply networks as space-filling fractals. The model connects branching geometry with metabolic scaling. It does not show that biological time itself is fractal, still less that organisms are inhabited worlds nested without limit. What it provides is a precise example of scale and branching structure interacting inside living systems.
Perception supplies a second, independent comparison. Small animals often resolve faster visual changes than large ones. The critical flicker fusion frequency[c], the frame rate of the visual system, correlates with body size and metabolic rate (Healy et al., 2013). A fly can therefore sample a lunging hand more frequently than a human eye can. This is relevant to the canon's intuition that different organisms inhabit different temporal resolutions. It remains an analogy to the claimed cosmic hierarchy, not a measurement of that hierarchy.
Physics supplies a third comparison, but the category difference is larger. In general relativity, clocks at different gravitational potentials can accumulate different amounts of elapsed time.[d] The effect has been measured from the Pound–Rebka experiment to atomic clocks separated by less than a metre, and GPS systems correct for it continuously. Yet relativity does not say that a larger organism experiences time more slowly because it has greater mass. Mass-energy shapes spacetime; clock rates depend on a gravitational geometry and an observer's path through it. Physiological tempo and relativistic proper time are not instances of one established law.
The comparison therefore yields no common equation. It yields three different phenomena that share a verbal pattern: some larger biological systems have slower physiological rates; some smaller animals resolve faster sensory changes; and some clocks in stronger gravitational fields accumulate less proper time relative to distant clocks. The Mass Effect proposes that these are local expressions of one unlimited principle. That unification belongs to the canon's speculative ontology. What the evidence provides is a set of analogies against which that ontology can be stated more clearly, not a confirmation of it.
The name for a universe like this
A universe in which structures repeat across scales can be described as fractal-like. The qualification matters. A mathematical fractal need not contain inhabited worlds, repeat without limit in nature, or couple scale to subjective time.
Benoît Mandelbrot gave the mathematics its founding statement in The Fractal Geometry of Nature (1982). Two properties of fractals illuminate the comparison. The first is self-similarity: the parts resemble the whole across a range of magnifications, so that a coastline looks equally rough from orbit and from a stepladder, a fern's frond repeats the whole fern, a branching lung repeats itself down to the alveoli. The second is that a fractal has structure at every scale[f] — it never resolves into featureless smoothness the way a classical curve does when you zoom in far enough. "All is in all," Yahweh says; "as it is above, so it is below." The language is compatible with self-similarity stated as metaphysics rather than geometry. The Mandelbrot set and the Elohim's emblem are not the same claim, but fractal vocabulary gives the metaphysical claim a clearer modern analogy.
The Fractal Cosmology wiki entry develops the full case. Fractal structures are studied in observational cosmology and several approaches to fundamental physics. None proposes the Raëlian hierarchy in full. Three areas show where the comparison is useful and where it stops.
The first track is observational, and it is the one where the canon is most exposed to falsification. Beginning in 1987, Luciano Pietronero and his collaborators argued from galaxy-survey data that the distribution of matter in the universe is fractal — that galaxies cluster within clusters within superclusters in a self-similar hierarchy, with a measurable non-integer dimension (around 2 rather than 3), rather than smoothing out into the uniform paste that standard cosmology's cosmological principle[h] requires. As late as 2005, Joyce, Sylos Labini, and Pietronero were still finding fractal correlations in Sloan Digital Sky Survey data out to large scales. The weight of the evidence — Hogg and colleagues in 2005, the WiggleZ survey's explicit "transition to large-scale cosmic homogeneity" in 2012, Tegmark's power-spectrum analyses — is that the matter distribution is fractal on the scales of galaxies and clusters but transitions to homogeneity somewhere around 250–370 million light-years, above which the universe looks smooth after all. The consensus reading is that the cosmos is fractal in the middle and uniform at the top: a shag rug, not an infinite tapestry. A fractal cosmologist answers that the "homogeneity scale" keeps receding as surveys deepen, and that assuming homogeneity to analyze data cannot then cleanly prove it. That remains a minority response. Current observations therefore do not support an endlessly fractal matter distribution.
The second track is theoretical. Some inflationary models generate self-reproducing structures at scales beyond the observable universe. Andrei Linde's eternal inflation[i] (1986) — now a standard part of the inflationary paradigm, elaborated by Alan Guth and others — produces an unbounded, self-reproducing array of pocket universes. Linde's own title calls it a "self-reproducing chaotic" universe. This resembles an open-ended hierarchy in some respects, but it neither demonstrates inhabitation at every scale nor, by itself, establishes a beginningless past.
The third track concerns scale-dependent geometry. At the smallest scales, several quantum-gravity programs find that the effective dimensionality of spacetime may change. In causal dynamical triangulations (Ambjørn, Jurkiewicz, Loll, 2005) the effective dimension of spacetime runs with scale[g], falling from four at everyday distances toward two at the Planck scale. Asymptotic-safety gravity (Lauscher and Reuter) finds the same dimensional reduction by a different route. And in 2025 Torsten Asselmeyer-Maluga's The Wild Fractal Nature of Spacetime derives it yet again from the exotic differential structures unique to four dimensions, stating flatly that "the fractal nature of the spacetime" is what produces quantum fluctuation, and that "wild embeddings represent the space at every scale in one structure." These programs do not reach one identical physical model, and dimensional reduction is not equivalent to the canon's nested cosmos. They do show that a smooth, fixed-dimensional spacetime need not survive unchanged at every scale.
These comparisons place the canon beside real scientific questions about clustering, scale, and dimensionality. They do not make its ontology a member of any accepted physical model. The distinctive claims remain unsupported by those fields: that the hierarchy runs without limit in both directions, that each level is inhabited, and that its inhabitants experience time according to their place in the hierarchy.
Jurassic Park, or the fractal in the popular imagination
There is a reason this cluster of ideas — scaling, self-similarity, the limits of prediction — surfaced in the culture exactly when it did, and the Wheel of Heaven timeline has already named the place it surfaced: Jurassic Park. The timeline invokes Crichton's novel for its ethics — scientists who "were so preoccupied with whether they could that they didn't stop to think if they should." But the book carries a second cargo that bears directly on this article, and it is worth unpacking, because it shows the same ontology leaking into the modern imagination through the side door of fiction.
Michael Crichton did not organize Jurassic Park into chapters. He organized it into iterations, and printed a fractal — successive magnifications of the branching dragon curve — on the part-title pages, the curve growing more elaborate as the disaster compounds. He had been reading, in the late 1980s, the popular literature of chaos theory: James Gleick's Chaos: Making a New Science (1987) and Ivar Ekeland's Mathematics and the Unexpected (1988), both credited at the back of the novel. From them he took Edward Lorenz's discovery that deterministic systems can be radically unpredictable — the "butterfly effect," born in a 1963 paper about weather that would not repeat — and Mandelbrot's fractals, and Mitchell Feigenbaum's universal constants governing the passage from order into chaos. He gave the whole apparatus a voice in the mathematician Ian Malcolm, whose running commentary is a chaos-theory chorus: complex systems built to be controlled will escape control, because their sensitivity to detail runs down through every scale without bottoming out.
The connection to the canon is not the dinosaurs. It is the geometry of the intuition. Chaos theory and fractal geometry are related fields, not one discovery under two names. A chaotic system can display behavior is self-similar across scales of time (the same unpredictability at every magnification of the clock); a fractal is a form self-similar across scales of space. Crichton's instinct, dramatized as a cautionary tale, was that reality has structure all the way down, that there is no scale small enough to be safely ignored, and that a civilization which assumes otherwise — which treats its island, or its planet, as a closed and controllable box — has misread the depth of the world it is standing on. That is a fractal intuition wearing a monster movie. And it is, structurally, the intuition Yahweh states without the monsters: all is in all; the small scale is not negligible; there are worlds in the atoms of your arm. The 1990s met this idea as entertainment because the science had just made it speakable. The canon claims it was always true, and had been spoken before.
The riskier edges of the model
The preceding parallels concern confirmed phenomena, but their proposed unification does not. What follows moves further still. These are speculative consequences drawn from the canon's premises. In their present form they are qualitative pictures, not physical theories: they supply no equations, quantitative predictions, or tests that distinguish them from standard explanations.
First: forces as the leakage between scales. If the same physics runs at every level of the hierarchy, then what registers as a fundamental force at our scale might be the shadow of an ordinary process at another. The canon already contains the seed of this. In the first message Yahweh mentions that the Elohim communicate with "waves that your technique cannot perceive... seven times faster than radioelectric waves" (TBWTT 5:57 ) — waves outside our instruments not because they are magical but because our detectors are tuned to our scale. Extend the thought. Suppose the faint, almost undetectable ripples we call gravitational waves are not a phenomenon native to our level at all, but something like the weak interaction of a world one storey up — a short-range process in the gigantic being's physics, reaching us so attenuated by the scale gap that we can barely register it. And symmetrically, that what we experience as the weak or strong nuclear forces — powerful, absurdly short-ranged, confined to the sub-atomic — are the gravitation of the worlds inside our atoms, felt only at their scale. On this reading the four "fundamental forces" of the Standard Model are not four separate ingredients of one level of reality but the same few processes glimpsed across a few rungs of the ladder, each looking fundamental to whoever is standing on the rung where it dominates. The mainstream has spent fifty years trying to unify the forces. The cross-scale picture imagines a reason that effort might have stalled, but without a mapping between scales or a calculable prediction it remains metaphor.
Second: why the night sky is black. Olbers's paradox[e] is a genuine and underappreciated problem — in an infinite, eternal, roughly uniform universe of stars, every sightline should end on a star and the sky should blaze. Standard cosmology resolves it with finite age and redshift: the universe is young enough, and distant light stretched enough, that most of the sky's stars are invisible or absent. But a fractal, hierarchical distribution resolves it too, and did so historically — this was one of Olbers's paradox's classic escapes long before the Big Bang: if matter is clustered fractally with dimension less than two, the sky's brightness from distant matter converges instead of diverging, and darkness returns without any need for a beginning. The Mass Effect adds a further, frankly speculative possibility that the canon's own physics invites: if the light of the truly distant, larger-scale structures travels by processes "your technique cannot perceive" — waves faster than light-speed as we measure it, or carried in a medium whose reach and losses we do not know — then those structures could be there, luminous, and simply not arrive, in a form our eyes count as light. The black sky is therefore compatible with some hierarchical matter distributions. It is not evidence for inaccessible larger-scale worlds. That additional possibility is licensed by the canon, not by Olbers's paradox.
Third: a universe that breathes rather than bangs. The Mass Effect's sharpest collision with mainstream cosmology is over the Big Bang, and the canon is unambiguous: there was none — "there is neither beginning nor end to matter." Standard cosmology reads redshift within a wider body of evidence for expansion from a hot, dense early state. The canon proposes a different picture. In a fractal cosmos with the Mass Effect running, our entire observable universe is a "particle of an atom of a molecule" in the body of a vastly larger, vastly slower being (ETTMTTP 3:194 ). What we clock, over the whole span of human astronomy, as billions of years of cosmic expansion could be a single slow event at that scale — one phase of a breath, a dilation of the higher being's lungs, or a contraction read inside-out. A local, temporary expansion; a higher-order palpitation we are too small and too fast to recognize as rhythmic. On this picture the "red shift could indicate some temporary expansion, which may simply be a short contraction of a higher-order effect" — the cosmos not exploding once and cooling forever, but breathing, and us living out the whole of recorded science inside a fraction of one inhalation. The swastika at the center of the emblem — "everything is cyclical, the high becoming low and the low becoming high" — gives that cyclic picture a symbol.
These conjectures are not presently checkable as stated. Their value here is expository: they show what the ontology would imply if its cross-scale premise were true. Turning any of them into science would require a mathematical model and a result that differs measurably from established theories.
The cross-examination
A model this sweeping deserves a hostile witness, and the best available is one this project respects: David Berlinski, whose The Devil's Delusion (2009) is the most literate contrarian assault on the overreach of modern scientific cosmology in print. Berlinski is not a believer; he is a skeptic of pretension, and he would turn that skepticism on the canon as readily as on the Standard Model. His cross-examination would run in two directions at once, and both are worth hearing.
Against the mainstream — and here he is the canon's unexpected ally — Berlinski is withering. He calls quantum cosmology "the most speculative of inquiries and... among the least successful," notes that "the wave function of the universe cannot be seen, measured, assessed, or tested," and observes that physicists resent religion mainly for "precisely the same attempt to reach by speculation what cannot be grasped in any other way." He records, with relish, that the Big Bang struck its own discoverers as suspiciously theological — that it "strikes an uncomfortably theistic note," that Fred Hoyle coined the name in order to dismiss the thing, that Hawking himself wrote "so long as the universe had a beginning, we could suppose it had a creator" — "God forbid!" This is precisely the canon's complaint, from an atheist's mouth: that mainstream cosmology smuggled a creation event into physics and has been trying to speculate its way back out ever since, through multiverses and wave-functions and Landscapes that "no part of [the evidence] need be produced." On the question of whether the Big Bang is secure bedrock or a soft spot dressed as bedrock, Berlinski and Yahweh agree.
The same criticism applies to the canon. Berlinski could say: you have done the very thing you accuse them of. You have taken one sentence from a book — "time is inversely proportional to the mass" — and inflated it into a theory of forces, a resolution of Olbers's paradox, and a breathing cosmos, none of which you can produce evidence for on demand. Your fractal universe faces a homogeneity scale you admit the data supports. Your cross-scale forces are a picture, not a calculation. Your breathing cosmos is untestable in exactly the way you mocked the wave function of the universe for being. You have built, he would say, your own "put-up job."
The objection lands. Calling the move “continuity” rather than “extrapolation” does not reduce its distance from the evidence, and an elephant-and-fly intuition cannot substitute for a theory of gravitation or redshift. The defensible reply is narrower: the canon offers a metaphysical picture that generates comparisons and thought experiments, not a competing physical model in its present form. Its conjectures should be judged as speculation until they yield quantitative predictions. Berlinski's useful lesson is not that speculation must stop, but that its products must not be reported as findings.
What the infinite is for
It would be a mistake to leave this as cosmology alone, because in the canon it never is. The reason Yahweh lays out an infinite fractal universe on a base near the Earth is not to settle a question in physics. It is to change how a person stands in the world, and the ontology is built to deliver a specific ethical and emotional result.
Strip a human being of the center of the universe and two things happen at once. The first is a demotion, and the canon does not soften it: man is "not something exceptional, but some being situated at some period in some place of the infinite universe," a "disease" on a body too vast to feel him, a mould on a living Earth. In a centerless, beginningless, endless cosmos nothing we do echoes cosmically; the infinite is, as the later books put it, "infinitely indifferent" to our decisions. This is the vertigo the finite brain recoils from — the frog refusing to believe in the other ponds.
But the second thing is a liberation, and the canon builds a practice around it. The same demotion that makes us cosmically small frees us from the crushing weight of cosmic significance, and returns meaning to the scales where we actually live. Yahweh gives Raël the Four Levels to hold at once — "in relation to the infinite; in relation to the Elohim our fathers, our creators; then in relation to human society; finally in relation to the individual" (ETTMTTP 3:5 ) — and a meditation that runs the whole ladder deliberately: outward until the city is a point, the continent a point, the galaxy a point, our universe a particle in some larger being's arm; then inward through the body, the cells, the molecules, the atoms "that turn like suns around the center of a galaxy," down to the particles "on which live beings who wonder whether there is life on the other planets" (ETTMTTP 3:195 ). The exercise is the ontology turned into a spiritual instrument. To sit at the exact middle of the infinite ladder and feel it extend without end in both directions is, in the canon's phrase, to become "a part of the infinite, that is to say much and little" at the same moment.
Much and little. That is the whole ethic in three words, and it is only available in a fractal cosmos. In a universe with a center you are either at it or exiled from it — either everything or nothing. Only in a universe that is infinite in both directions can a person be, without contradiction, an entire world to the beings in their atoms and a passing mould to the being in whose atoms they live; a creator and a creation; slow to the fly and fast to the star. The old traditions kept circling this — Pascal's man suspended between the two infinities, "a nothing in regard to the infinite, an all in regard to nothing"; the Hermetic as above, so below[j]; Giordano Bruno burned in 1600 partly for an infinite universe of innumerable worlds; Kant's honest confession that reason can prove the world both bounded and unbounded and cannot choose. The canon's claim is that these were not independent philosophical exercises but fragments of one remembered picture, the same picture engraved on the emblem, and that the fragment finally returned to Raël in a French crater is the instruction for reassembling them.
The elephant and the fly, again
Return to where this began. Elephants and flies inhabit different biological tempos. The canon asks the reader to treat that local contrast as a glimpse of an unlimited order: worlds below the atom, worlds above the stars, and no privileged scale between them. Allometry and relativity make parts of that picture easier to imagine. Fractal mathematics gives it a vocabulary. None of the three demonstrates the inhabited hierarchy or the Mass Effect as a universal law.
The ontology should therefore stand on the kind of claim it actually is: a reported teaching with philosophical power and possible scientific consequences, but no present physical derivation. Its strength is the change of perspective it produces, not a victory already won over cosmology. The emblem compresses that perspective into a figure a child could draw: two triangles for nested scales and a turning cross for recurrence, with neither a highest world nor a lowest one. The first observation is ordinary. The claim that it continues forever remains extraordinary.
Further reading
- Mass Effect — the Law of Masstime in full: the two formulations, the allometric and relativistic parallels, and the open questions about the law's exact mathematical form.
- Infinity — the foundational framework: the three mutually reinforcing dimensions of the infinite, and its consequences for cosmology, theology, and ethics.
- Fractal Cosmology — the spatial dimension of Infinity, and the full dossier on the galaxy-distribution debate.
- The Raëlian Symbol of Infinity — the emblem itself, and the history of the two symbols it joins.
- Extra-Terrestrials Took Me to Their Planet, chapter 2, "Neither God nor Soul," for the cosmology passages in context.
Notes
- a. The two encounters are the frame of the first two Raëlian books. The first message (1973, published 1974 as The Book Which Tells the Truth) was delivered over six days in the crater of the Puy-de-Lassolas in the Auvergne. The second (1975, published as Extra-Terrestrials Took Me to Their Planet) took place partly on a base Yahweh describes as 'relatively near the earth' — explicitly not the Elohim home planet, and not the Planet of the Eternals where the recreated dead are said to live.
- b. The study of how the traits of an organism scale with its body size — from Greek állos, 'other,' and métron, 'measure.' Most biological rates and durations do not scale in proportion to mass (an exponent of 1) but as mass raised to a simple fraction, usually a multiple of one-quarter. The regularity is one of the most robust empirical patterns in all of biology.
- c. The frequency at which a flickering light stops appearing to flicker and fuses into a steady glow. It is a direct readout of the nervous system's temporal resolution — its frame rate. Small, fast animals have high fusion frequencies (a fly resolves flicker above 250 Hz, where a human fuses around 60); large, slow animals have low ones. To the fly, in a real and measurable sense, our seconds are long.
- d. The general-relativistic effect by which clocks deeper in a gravitational field run slower than clocks higher up. Confirmed from the 22.5-metre Pound–Rebka column (1960) to a 33-centimetre height difference measured with optical atomic clocks (2010), and corrected for continuously in the GPS system, whose satellite clocks gain about 38 microseconds a day relative to the ground.
- e. The paradox, sharpened by Heinrich Wilhelm Olbers in 1823 from earlier formulations by Kepler and others: in an infinite, eternal, roughly uniform universe of stars, every line of sight should eventually end on a stellar surface, so the whole night sky should blaze as bright as the Sun. It does not. The darkness of the sky is therefore a cosmological datum, and every cosmology has to explain it.
- f. A shape whose parts resemble the whole across a range of magnifications, and whose 'dimension' need not be a whole number. Benoît Mandelbrot coined the term in 1975 (from Latin fractus, 'broken') for the rough, self-similar geometry that classical smooth curves and surfaces cannot describe — coastlines, clouds, blood vessels, galaxy distributions. A fractal has structure at every scale; it never smooths out.
- g. In several quantum-gravity programs the effective dimension of spacetime is not fixed at four but runs with the scale of observation, falling toward two at the very smallest distances. This 'dimensional reduction' appears independently in causal dynamical triangulations (via the spectral dimension), in asymptotic-safety gravity, and — by a different route entirely — in Asselmeyer-Maluga's exotic-smoothness construction. It is the mainstream's own way of saying that spacetime is not the smooth continuum of the textbooks all the way down.
- h. The mainstream cosmological assumption that, averaged over large enough regions, the universe has no preferred places (homogeneity) and no preferred directions (isotropy). It is the working premise of standard Big Bang cosmology. A fractal matter distribution violates it at every finite scale, which is exactly what the Pietronero school and the homogeneity-scale surveys have been arguing about since the 1980s.
- i. Andrei Linde's 1986 result that, once inflation starts, quantum fluctuations keep restarting it in ever-new regions, so that the process, taken as a whole, never ends and produces an unbounded, self-similar array of 'pocket universes.' It is a mainstream cosmological model that arrives, by its own mathematics, at a fractal and eternal cosmos — the very features standard Big Bang cosmology was meant to avoid.
- j. A brief, aphoristic Hermetic text (the Tabula Smaragdina), known in the Latin West from the twelfth century and hugely influential on alchemy: 'That which is above is as that which is below, and that which is below is as that which is above, to accomplish the miracles of the one thing.' It is the classical Western statement of macrocosm–microcosm correspondence — and, near-verbatim, the meaning Yahweh assigns to the two triangles of the Star of David.
- k. The Bardo Thödol, the Tibetan 'Liberation Through Hearing in the Intermediate State,' a fourteenth-century text describing the stages between death and rebirth. Yahweh names it, alongside the Star of David and the swastika, as one of the 'ancient writings' where the two symbols of the emblem appear together — a comparative claim the reader is free to check and free to weigh.
References
- The Book Which Tells The Truth Raël (1973) Chapter 3, 'The Watch Over the Chosen' (¶288: the emblem — Star of David and swastika, 'as it is above, so it is below'); Chapter 5, 'The End of the World' (¶57: 'Mankind, a disease of the universe' — the parasites of the atoms, the seven-times-faster waves, 'in both directions, it is infinite')
- Extraterrestrials Took Me To Their Planet Raël (1976) Chapter 2, 'The Second Encounter' (¶¶30–36, 43: 'Neither God nor Soul' — the gigantic being, 'time is inversely proportional to the mass,' the centerless universe, 'nothing is lost, nothing is created,' the emblem re-read, the frogs in the pond, and the location of the base 'relatively near the earth'); Chapter 3, 'The Keys' (¶¶5–6, 192–196: the Four Levels and the meditation up and down the scales)
- Let's Welcome the Extra-terrestrials ('Who Created the Creator of the Creators?': 'The Infinite in space is easier for man to understand than the Infinite in time'; 'Everything is eternal, be it in the form of matter or energy'; 'It is as foolish to search for the beginning of the universe in time as it is to search for the beginning of space') Claude Vorilhon (Raël) (1979)
- Intelligent Design: Message from the Designers Claude Vorilhon (Rael) (2005) the consolidated English edition collecting all three messages; 'Neither God nor Soul' and the Four Levels
- Mass Effect — Wheel of Heaven wiki (the Law of Masstime; the two equivalent formulations; the engagement with relativity and allometry) Wheel of Heaven (2026)
- Infinity — Wheel of Heaven wiki (the three mutually reinforcing dimensions: spatial, temporal, hierarchical) Wheel of Heaven (2026)
- Fractal Cosmology — Wheel of Heaven wiki (the spatial dimension of Infinity: self-similarity across scales) Wheel of Heaven (2026)
- Body Size and Metabolism (Hilgardia 6: 315–353 — the 3/4-power metabolic law) Max Kleiber (1932)
- A General Model for the Origin of Allometric Scaling Laws in Biology (Science 276: 122–126 — the fractal-transport-network derivation of the quarter-power laws) Geoffrey B. West, James H. Brown & Brian J. Enquist (1997)
- Scale: The Universal Laws of Growth, Innovation, Sustainability, and the Pace of Life in Organisms, Cities, Economies, and Companies Geoffrey B. West (2017)
- Metabolic Rate and Body Size Are Linked with Perception of Temporal Information (Animal Behaviour 86: 685–696 — critical flicker fusion scales with mass) Kevin Healy et al. (2013)
- Felt Time: The Psychology of How We Perceive Time Marc Wittmann (2016)
- Die Feldgleichungen der Gravitation (the field equations of general relativity) Albert Einstein (1915)
- Apparent Weight of Photons (Physical Review Letters 4: 337–341 — the Pound–Rebka gravitational-redshift experiment) Robert V. Pound & Glen A. Rebka Jr. (1960)
- Optical Clocks and Relativity (Science 329: 1630–1633 — gravitational time dilation measured across a 33-centimeter height difference) Chin-wen Chou et al. (2010)
- The Fractal Geometry of Nature Benoît Mandelbrot (1982) the founding statement of fractal geometry; self-similarity, non-integer (Hausdorff) dimension, and the roughness of nature
- Fractal cosmology (Chaos, Solitons & Fractals 41: 2103–2105) Jonathan J. Dickau (2009)
- The Fractal Structure of the Universe: Correlations of Galaxies and Clusters (Physica A 144: 257–284) Luciano Pietronero (1987)
- Basic Properties of Galaxy Clustering in the light of recent results from the Sloan Digital Sky Survey (Astronomy & Astrophysics 443: 11–16) M. Joyce, F. Sylos Labini, A. Gabrielli, M. Montuori & L. Pietronero (2005)
- The Three-Dimensional Power Spectrum of Galaxies from the Sloan Digital Sky Survey (ApJ 606: 702–740) Max Tegmark et al. (2004)
- Cosmic Homogeneity Demonstrated with Luminous Red Galaxies (ApJ 624: 54–58 — the transition to homogeneity) David W. Hogg, Daniel J. Eisenstein, Michael R. Blanton et al. (2005)
- The WiggleZ Dark Energy Survey: the transition to large-scale cosmic homogeneity (MNRAS 425: 116–134) Morag I. Scrimgeour et al. (2012)
- Eternally Existing Self-Reproducing Chaotic Inflationary Universe (Physica Scripta T15: 169–175) Andrei D. Linde (1986)
- Eternal inflation and its implications (J. Phys. A 40: 6811–6826) Alan H. Guth (2007)
- Reconstructing the Universe (Phys. Rev. D 72: 064014 — causal dynamical triangulations; the spectral dimension falls to ~2 at short distances) J. Ambjørn, J. Jurkiewicz & R. Loll (2005)
- Asymptotic Safety in Quantum Einstein Gravity (arXiv:hep-th/0511260 — scale-dependent spacetime dimension) Oliver Lauscher & Martin Reuter (2005)
- The Wild Fractal Nature of Spacetime: Smooth Quantum Gravity and Cosmology (World Scientific — 'the fractal nature of the spacetime'; 4D→2D dimensional reduction at small scales) Torsten Asselmeyer-Maluga (2025)
- Von Neumann Algebra Automorphisms and Time–Thermodynamics Relation (Class. Quantum Grav. 11: 2899–2918 — time as emergent from a thermodynamic state) Alain Connes & Carlo Rovelli (1994)
- Jurassic Park Michael Crichton (1990) the novel organized in 'iterations'; the fractal dragon curve on its part-title pages; Ian Malcolm as chaos-theory chorus
- Chaos: Making a New Science James Gleick (1987) the popular history acknowledged at the back of Jurassic Park; Lorenz's attractor, Mandelbrot's fractals, Feigenbaum's constants
- Mathematics and the Unexpected Ivar Ekeland (1988) the second book Crichton credits; nonlinear systems and the limits of prediction and control
- Deterministic Nonperiodic Flow Edward N. Lorenz (1963) the founding paper on sensitive dependence on initial conditions — the 'butterfly effect'
- The Devil's Delusion: Atheism and Its Scientific Pretension David Berlinski (2008) ch. 4 'The Cause' and ch. 5 'The Reason' (the Big Bang's 'uncomfortably theistic note'; quantum cosmology as 'the most speculative of inquiries'); ch. 6 'A Put-up Job' (string theory and the Landscape)
- The Nature of Space and Time (the Hawking–Penrose exchange on singularities and cosmology) Stephen Hawking & Roger Penrose (1996)
- Hermetica Hermes Trismegistus? (200BC?) the Emerald Tablet's 'that which is above is as that which is below'; the macrocosm–microcosm correspondence
- On the Infinite Universe and Worlds (De l'infinito universo et mondi) Giordano Bruno (1584) the 1584 argument for an infinite, centerless universe of innumerable worlds
- Critique of Pure Reason Immanuel Kant (1781) the First Antinomy: equally valid proofs that the world is, and is not, bounded in space and time
- Pensées (the two infinities: 'a nothing in regard to the infinite, an all in regard to nothing') Blaise Pascal (1670)
- Hamlet's Mill: An Essay Investigating the Origins of Human Knowledge and Its Transmission Through Myth Giorgio de Santillana, Hertha von Dechend (1969) the argument that myth is a technical language encoding cosmic, especially precessional, knowledge
Cite this page
The Infinite in Both Directions. (2026). Wheel of Heaven. https://www.wheelofheaven.world/articles/the-infinite-in-both-directions/
"The Infinite in Both Directions." Wheel of Heaven, 2026, https://www.wheelofheaven.world/articles/the-infinite-in-both-directions/.
"The Infinite in Both Directions." Wheel of Heaven, 2026. https://www.wheelofheaven.world/articles/the-infinite-in-both-directions/.
@misc{woh-the-infinite-in-both-directions,
author = {{Zara Zinsfuss}},
title = {The Infinite in Both Directions},
year = {2026},
howpublished = {\url{https://www.wheelofheaven.world/articles/the-infinite-in-both-directions/}},
note = {CC0-1.0 public domain}
}