The Geometricians of the Universe

By Victor V. Motti*

We may be approaching a moment when humans need to enlarge their imagination of what it means to build.

One of the most ambitious recent attempts to think about the future of life beyond Earth is the idea of extraterrestrial gardening: not merely searching for life elsewhere, but eventually cultivating the conditions under which life might take root beyond our planet. It is a powerful image because it transforms the cosmic future from one of passive observation into one of deliberate participation.

But if extraterrestrial gardeners are to become a reality, they may need another profession beside them.

We will need Geometricians of the Universe.

This is not simply a poetic title. It points toward a possible transformation in the relationship between science, technology, life, and the cosmos.

From Engineers to Geometricians

When the Industrial Revolution began in England, applied science became closely associated with machines, engines, factories, bridges, and mechanical power. The engineer became one of the defining figures of industrial civilization: the person who could transform scientific knowledge into technological structures.

But there is an older linguistic intuition that offers another way of imagining the engineer.

In Arabic and Persian, the word mohandis denotes an engineer, while handasah refers to geometry. The conceptual association reaches back to a world in which engineering was inseparable from proficiency in geometry.

That older intuition may become strangely relevant to a very distant future.

The next great engineering challenge may not be the construction of a machine.

It may be the design of the conditions under which life and mind can exist.

The engineer of an industrial civilization designs machines within an already given environment.

The Geometrician of a cosmic civilization may eventually design—or discover—the configurations of matter, energy, space, time, planetary systems, and information within which entirely new forms of life become possible.

The difference is profound.

The question is no longer merely:

What can we build?

It becomes:

What configurations of the universe make becoming possible?

The Geometry Beneath Intelligence

The contemporary artificial-intelligence revolution gives us an unexpected glimpse of this possibility.

AI may eventually be understood not merely as the automation of tasks traditionally performed by human beings, but as an encounter with the structure of intelligence itself. Neural networks have revealed striking geometric structures in their internal representations. Concepts, meanings, and relationships can be represented within high-dimensional spaces in ways that allow machines to discover regularities that are difficult to perceive directly.

This does not establish the much stronger proposition that natural intelligence itself is fundamentally geometric. That remains a research hypothesis, not a scientific conclusion.

But the possibility is sufficiently profound to deserve exploration.

Perhaps intelligence is not simply something that happens inside brains.

Perhaps intelligence is partly a phenomenon of structure, relation, transformation, and geometry—and the AI revolution is beginning to expose some of that structure.

If so, we may be witnessing the early stages of a transition from thinking about intelligence as a mysterious property of organisms to investigating the mathematical spaces in which intelligence can emerge.

The revolution would then be larger than artificial intelligence.

It would be a revolution in our understanding of the geometry of intelligence.

And that raises a still larger question:

If intelligence has discoverable structural conditions, might life itself have discoverable geometric conditions?

The Geometry of Life

This is where speculation becomes scientifically dangerous—and scientifically interesting.

My own recent work has explored what I call The Geometry of Life: A Keplerian Conjecture: the possibility that the emergence and persistence of life may depend on highly specific cosmic and planetary configurations, perhaps in ways analogous—though certainly not yet established—to the geometric regularities revealed by Kepler's laws.

This is a conjecture, not an established law of nature.

Its value therefore lies partly in its vulnerability to falsification.

If life—or sufficiently complex life—were found to flourish across an enormous range of radically different orbital and planetary configurations, that would seriously challenge the conjecture. A useful cosmic hypothesis must therefore expose itself to the possibility of being wrong.

That principle is essential.

The cosmic future cannot be built upon beautiful metaphors alone.

It must be built upon hypotheses that can be tested, challenged, refined, and, when necessary, abandoned.

My reflections on the Boötes Void and on the possibility of radically different experiences of time at cosmic boundaries similarly belong to this speculative frontier. They are attempts to ask questions before we possess definitive answers.

That is precisely why they should remain open to falsification.

The purpose of a far-future vision is not to pretend that we already know the universe.

It is to identify the questions that a future civilization might be capable of answering.

From Gardeners to Geometricians

Imagine, then, a civilization sufficiently advanced to move beyond the Earth.

Its astronomers would discover cosmic configurations.

Its Geometricians would investigate the deeper structures of those configurations—perhaps learning which combinations of mass, energy, orbital dynamics, chemistry, information, and spacetime permit different forms of life and mind.

Its extraterrestrial gardeners would cultivate life within those environments.

And its panbiotic ethicists would confront the question that technology alone cannot answer:

Just because we can spread life, should we? And if so, how?

The four professions would form a new civilizational architecture:

Astronomers → discover cosmic configurations

Geometricians → understand and potentially design configurations that enable life and mind

Extraterrestrial gardeners → establish and cultivate life within them

Panbiotic ethicists → develop principles governing the expansion of life and mind

None can replace the others.

Astronomy without ethics can become mere extraction.

Engineering without ecology can become destruction.

Gardening without knowledge of cosmic structure can become futile.

Ethics without an understanding of what is physically possible can become detached from reality.

The civilization capable of spreading life beyond Earth would therefore need not merely greater technological power, but a deeper synthesis of cosmology, geometry, biology, engineering, and ethics.

Panbiotic Ethics

This is the philosophical problem at the center of my 2025–2026 book series, particularly Thus Spoke Arta.

Panbiotic ethics begins with a radical shift in perspective: life should not necessarily be understood as an isolated terrestrial possession, but as a phenomenon of Nature whose emergence, development, diversification, and perhaps cosmic expansion can become objects of ethical reflection.

This does not mean that every form of life should be spread everywhere.

Nor does it mean that humanity possesses some automatic cosmic mandate to colonize the universe.

Quite the opposite.

The larger the power to intervene in the emergence and distribution of life becomes, the deeper the ethical responsibility becomes.

Directed panspermia therefore cannot be reduced to a technological project.

It is a philosophical question.

What does it mean to deliberately participate in the propagation of life?

What kinds of life should be propagated?

Under what conditions?

Into what environments?

With whose consent, if consent is even conceptually possible?

What obligations would one civilization have toward forms of life that may emerge millions or billions of years after the intervention?

And perhaps the most difficult question:

Are we spreading ourselves, or are we participating in something larger than ourselves?

Beyond the Human

This is where the non-dual philosophical dimension of Thus Spoke Arta becomes important.

If life is regarded exclusively through a human-centered ontology, then the universe appears as an external environment containing resources, hazards, and opportunities for human survival.

But a non-dual perspective begins somewhere else.

It questions the absolute separation between observer and observed, organism and environment, humans and Nature.

Earth is not simply the place where humans happen to live.

We are expressions of Earth.

And Earth itself is an expression of a larger cosmic process.

From that perspective, the emergence of intelligence may not be the story of an isolated species escaping its planetary origins. It may be part of a longer unfolding of Nature through increasingly complex forms of organization, perception, intelligence, and self-reflection.

This is the philosophical intuition behind the movement from Thinking Self to Thinking Planet.

And perhaps eventually:

Thinking Planet to Thinking Cosmos.

The point is not to anthropomorphize the universe.

It is to question whether our categories of natural and artificial, organism and environment, individual and whole, are sufficiently deep for the civilization we are becoming.

The Cosmic Geometrician

The phrase Geometrician of the Universe therefore carries a larger meaning.

It suggests a future profession concerned not merely with constructing objects but with understanding the architecture of possibility itself.

A Geometrician might ask:

What planetary architectures permit complex chemistry?

What orbital relationships create long-term windows for biological evolution?

What stellar environments permit stable biospheres?

What configurations allow intelligence to emerge?

Can artificial environments reproduce the conditions under which life naturally arises?

Can entirely unfamiliar forms of life exist under physical conditions we currently regard as hostile?

Can information structures become ecological structures?

Can intelligence inhabit planetary or even stellar-scale systems?

And ultimately:

What is the geometry of becoming?

This is a much deeper question than the geometry of objects.

Geometry traditionally tells us about form, distance, relation, symmetry, curvature, and structure.

A cosmic geometry of becoming would ask how those structures constrain—or enable—the emergence of matter, chemistry, life, intelligence, and perhaps consciousness.

It would turn geometry from a mathematics of where things are into an investigation of what can come into existence.

That is why the Geometrician may become as important to a future cosmic civilization as the engineer was to the Industrial Revolution.

*Victor V. Motti is the author of Thus Spoke Arta: How Our Planet Is Entering a New Era (2026)

The Geometry of Life: A Keplerian Conjecture

By Victor V. Motti*

There is a pattern in the history of science: sometimes we discover a mathematical regularity before we understand the physical principle behind it.

Johannes Kepler provides one of the great examples. From astronomical observations, Kepler established that the orbital period of a planet and its distance from the Sun obey a remarkably simple relationship:

$$T^2 \propto R^3$$

The relationship was empirical. Kepler could describe the regularity, but he did not possess the physical theory that explained why nature should behave that way. It was Isaac Newton, decades later, who showed how universal gravitation could generate Kepler's empirical laws.

This raises an intriguing question.

Could the emergence of life have its own equivalent of a Keplerian relationship?

I propose, as a conjecture, that life has a geometric basis.

By this I do not mean merely that life requires a planet with a convenient temperature, liquid water, carbon chemistry, an atmosphere, and a suitable source of energy. Those conditions are certainly important. The stronger possibility is that these conditions are themselves manifestations of a deeper relationship among space, time, matter, energy, and planetary-star system geometry.

Perhaps somewhere in the enormous space of possible planetary-star configurations there exists a particular geometric relationship—a singular or extraordinarily constrained configuration—in which matter becomes capable of organizing itself into living systems.

If such a relationship exists, we have not yet discovered its equation.

From Kepler's orbit to the geometry of life

The analogy with Kepler should not be taken to mean that I am proposing a particular equation today. Rather, the historical lesson is methodological.

Kepler essentially said:

Here is a mathematical regularity in nature.

Newton subsequently asked:

What fundamental physical principle generates that regularity?

We might approach life in the same manner.

Instead of beginning with the assumption that life is simply an extraordinarily improbable chemical accident, we could ask whether there is an underlying mathematical relationship connecting the characteristic spatial and temporal scales of a planetary-star system with the emergence and persistence of living organization.

The eventual equation might look nothing like Kepler's law.

The point is that there may be an equation to discover.

The conjecture is therefore deliberately simple:

Life emergence has a geometric basis.

Why would this matter for the rarity of life?

The idea could also offer a different way of thinking about the apparent rarity of life in the universe.

The ingredients associated with terrestrial life may not themselves be exceptionally rare. Water appears to be widespread. Carbon and other biologically important elements are abundant. Organic molecules have been detected in many astronomical environments. Planets are common.

Yet the transition from chemistry to sustained, self-organizing life may require much more than having the ingredients.

It may require their simultaneous occurrence within a particular geometric relationship across multiple scales of space and time.

That distinction is important.

Imagine that the universe contains enormous numbers of planets with water, carbon, energy sources and potentially favorable temperatures. If life requires not merely these ingredients but a highly specific relationship among temporal and spatial scales, then the probability of obtaining the complete configuration could become extraordinarily small.

In that case, the rarity of life would not necessarily arise because the ingredients are rare.

The rarity could arise because the configuration is rare.

Earth would then be interesting not simply because it contains life, but because Earth may occupy a very unusual region of the space of possible geometrical configurations.

The Earth–Moon–Sun system

This leads to a more provocative question.

What if the relevant geometry extends beyond Earth itself?

The Earth does not exist in isolation. It is embedded within the gravitational and dynamical architecture of the Earth–Moon–Sun system, which in turn exists within the larger Solar System and Milky Way.

The Moon influences tides, rotational dynamics and long-term aspects of Earth's environment. The Sun determines Earth's primary energy input and orbital environment. Earth possesses a particular mass, radius, rotation rate, atmosphere, magnetic environment and orbital position.

These relationships create nested spatial and temporal scales.

Perhaps life emerges when some of these scales intersect in a mathematically special way.

If so, the relevant "habitable zone" might ultimately be more sophisticated than the conventional stellar habitable zone. Instead of asking only whether a planet is at the right distance from its star for liquid water, we might eventually ask whether a planetary system occupies a particular life-permitting spacetime geometry.

That would be a fundamentally different concept of habitability.

A possible falsification experiment

The conjecture becomes scientifically interesting only if it can eventually be falsified.

One possible experimental direction follows naturally from the hypothesis.

Suppose the relevant life-permitting geometry is strongly associated with the Earth–Moon environment or with a particular region of the Solar System. We could ask what happens when a biological system is transported progressively farther away from that configuration.

A simple thought experiment would be to send a living organism—a bacterium, microbial community, seed, or plant—to an extraterrestrial environment substantially removed from Earth's immediate planetary geometry.

If the organism were simply exposed to the vacuum, radiation, extreme temperature, lack of nutrients, or other hostile conditions, however, its death would tell us almost nothing about the geometric hypothesis.

The experiment therefore has to be much more carefully designed.

The organism would need an artificial environment maintaining appropriate pressure, temperature, nutrients, hydration, radiation shielding and other known requirements. The experimental variable would be location within the larger gravitational and spacetime environment, not whether the organism has access to the basic conditions necessary for metabolism.

We could then compare organisms maintained under essentially identical biological conditions at different locations.

Measurements could include:

• survival;
• growth rate;
• reproduction;
• metabolism;
• mutation rate;
• cellular damage;
• developmental processes;
• and potentially longer-term evolutionary changes.

The prediction would have to be made before the experiment.

If the proposed equation predicts that some measurable biological parameter should change beyond a particular spatial or geometrical threshold, then that prediction could be tested.

And if organisms continued to behave normally across the predicted boundary, the hypothesis would have to be revised or rejected.

That is what would transform the idea from philosophical speculation into a scientific conjecture.

Why an asteroid could be interesting?

There is an important practical constraint.

Planetary protection rules exist precisely because spacecraft can contaminate extraterrestrial environments with terrestrial organisms, potentially compromising the search for indigenous extraterrestrial life. NASA and international planetary-protection frameworks therefore place restrictions on certain missions and destinations, particularly bodies where terrestrial contamination could interfere with scientific investigations of possible extraterrestrial life.

This means that deliberately transporting terrestrial life to some potentially habitable worlds would not be an acceptable experiment.

An asteroid, however, could potentially provide a different experimental environment depending on the specific target and mission classification. Not every asteroid automatically falls under the same planetary-protection category as a potentially habitable world.

A carefully selected asteroid could therefore become conceptually interesting as a remote biological laboratory—provided that planetary-protection requirements, mission classification and scientific safeguards permitted such an experiment.

The important point is not simply to send a bacterium "somewhere far away."

The experiment would have to isolate geometry from everything else.

From geometry back to matter

There is another, even more speculative implication.

Einstein's general theory of relativity fundamentally connects the geometry of spacetime with matter and energy. In simplified language, matter tells spacetime how to curve, while spacetime tells matter how to move. More precisely, the Einstein field equation expresses a relationship between spacetime curvature and the stress-energy tensor:

$$G_{\mu\nu}+\Lambda g_{\mu\nu} = \frac{8\pi G}{c^4}T_{\mu\nu}.$$

This opens an intriguing second level of the conjecture.

Suppose we eventually identified a distinctive geometrical structure associated with the emergence of life around Earth.

We would then have to ask:

What produces that geometry?

Perhaps everything could be explained by known matter and energy.

But if a measured geometrical anomaly could not be accounted for by the known distribution of matter and energy, physics would face another question: is there an undiscovered source of the gravitational field?

That possibility could include unknown forms of matter or energy, modified gravitational physics, or some other explanation.

It would be premature to conclude that a special life-associated geometry necessarily implies unknown matter. General relativity permits spacetime curvature arising in ways that do not correspond simply to a new material substance. But the logic is worth exploring:

If an unexplained geometry exists, its physical source must ultimately be investigated.

In that sense, the biological conjecture could potentially lead back into fundamental physics.

The extraordinary possibility

This produces a chain of questions that is admittedly ambitious:

Does life have a mathematical signature?

If so:

Is that signature fundamentally geometrical?

If so:

Does it involve characteristic relationships among spatial and temporal scales?

If so:

Is Earth's configuration unusually close to such a life-permitting geometry?

And if so:

What physical structure produces that geometry?

Perhaps the answer will turn out to be entirely conventional. Perhaps known physics and chemistry will explain everything.

Or perhaps, like Kepler's laws, an empirical relationship will appear first and force us to search for a deeper theory.

That is the reason the conjecture is worth formulating.

We do not need to assume that life is supernatural, nor that Earth occupies a privileged place in the universe. Quite the opposite: we can treat life as a physical phenomenon and ask whether its emergence is constrained by mathematical structure in the same way that planetary motion is constrained by mathematical structure.

Kepler did not invent the relationship between time and orbital distance.

He discovered it.

Newton then explained it.

Perhaps the next great question is whether nature has also hidden a mathematical relationship between life, time, space and planetary-star geometry.

We have not yet found that equation.

But perhaps the search should begin with the possibility that life itself has a geometry.

Victor V. Motti is the author of Thus Spoke Arta: How Our Planet Is Entering a New Era (2026)

When Sand Thinks: From Silicon Intelligence to a Thinking Planet

By Victor V. Motti*


“If you stop to think about it, we've essentially found a way to make sand think. It's miraculous.”
— Demis Hassabis, CEO of Google DeepMind

It is difficult to think of a more extraordinary sentence about our technological age.

Sand does not appear intelligent. It lies beneath our feet, blows across deserts, and accumulates on beaches. Yet refined silicon—the principal material of modern semiconductor technology—has become the physical substrate upon which increasingly sophisticated forms of computation and artificial intelligence operate.

We have, in a very real sense, discovered how to make sand participate in thinking.

But suppose this is not the end of the story.

Suppose it is only the beginning.

When the lithosphere begins to think

Imagine that over the next several decades, super intelligence becomes capable of designing better computational architectures, discovering new materials, optimizing manufacturing, and autonomously improving the systems that make computation possible.

Perhaps fifty years from now, we could reach a kind of saturation point in which the technological transformation of silicon becomes so extensive that it is no longer meaningful to think of computation merely as something we build. Vast portions of the lithosphere could become incorporated into planetary-scale computational infrastructure.

We might call this hypothetical stage Lithosphere Thinking.

It would represent a strange evolutionary threshold: matter traditionally regarded as geological would have become part of an organized planetary cognitive process.

And then comes the more interesting question:

What happens after sand thinks?

From silicon to water

My next candidate is water.

The human brain is already an astonishing clue. It is roughly 80 percent water, while its information processing depends upon electrical and chemical activity occurring through an extraordinarily complex aqueous environment.

In a sense, my brain is a tiny thinking hydrosphere.

The analogy is imperfect, of course. The hydrosphere as a whole does not possess a brain-like nervous system. But the thought experiment is provocative:

What if super intelligence discovered ways to use enormous volumes of water as a computational medium?

Could oceans, lakes, underground aquifers, engineered fluid systems, or microscopic structures suspended in water become components of a planetary information-processing architecture?

We should not assume that computation must remain trapped inside the familiar architecture of a silicon chip.

Nature has already demonstrated that information processing can occur in biological systems, chemical networks, fluids, electromagnetic fields, and countless other physical configurations.

Perhaps the future of intelligence will involve not merely making better computers, but discovering new physical substrates for computation.

The transition might therefore look something like:

Lithosphere → Hydrosphere → Atmosphere.

When the atmosphere thinks

The atmosphere presents an even stranger possibility.

Look at the sky.

Dust and gas molecules scatter sunlight, producing the blue of daytime and the extraordinary colors of sunrise and sunset. Clouds organize water droplets and ice crystals into immense dynamic structures. Atmospheric systems transport heat, moisture, chemicals, and information across an entire planet.

The atmosphere is already a vast physical system interacting with photons.

Could a sufficiently advanced intelligence learn to cultivate or engineer these natural optical processes?

Could it construct enormous atmospheric-scale optical processors that harness sunlight, scattering, interference, reflection, absorption, and other photonic phenomena?

At that point, intelligence would no longer simply be something running inside machines.

The machine itself could become the environment.

And perhaps the environment could become the computation.

The end of the machine?

This is where the thought experiment becomes almost indistinguishable from science fiction.

But science fiction has often served as a laboratory for asking questions before technology makes them technically meaningful.

Consider the idea of a Matrioshka Brain: a hypothetical nested system of computational structures surrounding a star and utilizing an enormous fraction of its energy for computation.

The important point is not whether such a structure will ever be constructed.

The important point is what the concept reveals.

There may be no obvious conceptual boundary between:

computer → infrastructure → planet → solar system → cosmic computation.

If intelligence is fundamentally a process implemented through matter and energy, then every new physical substrate potentially becomes a new computational frontier.

Silicon may be only one chapter.

Water may be another.

Atmospheric chemistry, photons, plasma, planetary magnetic fields, and eventually stellar systems could become further chapters.

The sequence of possibilities could become almost impossible to imagine.

But nature has the final word.

There is, however, one ultimate constraint:


natural law.

Not everything conceivable is physically possible.

Not everything physically possible is technologically achievable.

And not everything technologically achievable is desirable.

This third distinction is the one we too often neglect.

Here the ancient INDO-IRANIC concept of Rta/Arta becomes unexpectedly relevant.

Rta—or Arta—can be understood as a principle of cosmic order, truth, and rightness. What makes the concept particularly powerful for our technological age is that it does not neatly separate the order of nature from the order of ethics.

Modernity has often divided these domains.

Physics describes what is.

Engineering determines what can be done.

Ethics is then brought in afterward to ask what should be done.

But perhaps that separation is itself one of our civilizational pathologies.

What if natural law and ethical law belong together?

Imagine a scientist discovering a new physical possibility and saying:

It is not my job to think about values. My job is to discover what is possible.

Then imagine an engineer saying:

My job is to build it. Someone else can decide whether it should exist.

And finally imagine a policymaker being handed a technology whose consequences are already moving faster than institutions can understand.

Something has gone wrong—not necessarily with science, but with the fragmentation of responsibility.

The deeper question is not simply:

Can we make sand think?

It is:

What kind of world should emerge when sand thinks?

And if water begins to think?

And if the atmosphere begins to compute?

And if planetary systems become increasingly integrated into intelligence?

The distinction between natural evolution and technological evolution may eventually become increasingly difficult to maintain.

Yet precisely because the possibilities expand, ethics cannot become less important.

It must become more fundamental.

Not every possible future is a preferred future

This may be the most important lesson of planetary foresight.

The future is not a single destination waiting to be predicted.

It is a field of possibilities.

Super Intelligence could expand the space of what humanity can physically accomplish at extraordinary speed. But increasing capability does not automatically produce increasing wisdom.

A civilization can become more powerful while becoming less capable of choosing wisely.

The great challenge of the coming era may therefore not be creating intelligence.

We are already doing that.

The challenge may be developing an understanding of intelligence, nature, and ethics as parts of one planetary process.

Perhaps the ultimate question is not whether we can make sand think.

Perhaps it is whether, after teaching sand to think, we can learn how to think about what thinking should become.

That is where Arta returns.

The law of nature is not merely a boundary around possibility.

It can also become a question of right relationship within possibility.

And as intelligence moves from silicon toward water, atmosphere, photons, planets, and perhaps eventually stars, that question may become more important than the technology itself:

Not merely what can think—but what kind of thinking should the planet become?

Victor V. Motti is the author of Thus Spoke Arta: How Our Planet Is Entering a New Era (2026)