Essay II  ·  Time

The Echo of Touch

On resonance, timelessness, and the measure of contact between systems

Author Christian Popov
Published April 2026
Reading time ~22 minutes

Thesis

Time is not fundamental. It is the measure of contact between systems, the echo that arises where different frequencies touch. Where nothing meets, nothing moves. Timelessness is the default; time is the artifact of resonance.

You know the feeling. Three hours into a piece of work that absorbs you completely, a text you are writing or a problem you are solving with the full reach of your skill, you look up and cannot believe what the clock says. The afternoon has vanished. Not gradually, not in the usual way of hours passing while you are mildly occupied. It has vanished as if it were never there. You were not bored, not distracted, not asleep. You were more alive than usual, more concentrated, more present, more engaged. And yet the time that should have accompanied all that presence simply did not show up.

Now consider the opposite. A Sunday afternoon with nothing to do, no one to see, no task that calls. The hours stretch like taffy. You check the time and it is 2:15. You check again, certain that at least forty minutes have passed, and it is 2:23. The day refuses to move. You are not less conscious than you were during those three absorbed hours. If anything, you are more aware of yourself, more aware of the ticking clock, more aware of the strange weight of duration. And yet here time is thick, sluggish, almost solid.

The psychologist Mihaly Csikszentmihalyi spent decades studying the first of these states. He called it flow: the condition in which a person's skill and the challenge before them are perfectly matched, and attention becomes so fully absorbed that self-consciousness drops away. Among the nine defining features of flow, one is particularly striking: a transformation in the sense of time. The clock does not merely seem to go faster. The entire framework of self-observation, of monitoring, of stepping back from the moment, dissolves. Time does not speed up. It loses its grip.

What if this is not a psychological curiosity but a clue to the nature of time itself?

· · ·

The previous essay in this series argued that reality is a recursive structure of nested wholes, a chain in which every unit is simultaneously part and whole, image and fragment of the Absolute. The human being is a local instance of this structure: a zoom-in that repeats the whole in miniaturised form. That essay ended with a question it could not yet answer: does such a structure even have a present? Does it move?

This essay takes up the question and proposes an answer that is, at first glance, counterintuitive. Time is not a property of reality. It is an artifact, a measure of contact between systems that would not exist without that contact. Where systems touch, time arises. Where nothing meets, nothing moves. The chain of nested wholes is, in its deepest structure, timeless. What we call time is the echo of touch.

This is not a poetic metaphor deployed for rhetorical effect. It is a philosophical claim with specific commitments. It means that time does not flow. It means that the arrow of time, the irreversible direction from past to future, is not written into the fabric of things but generated by a particular kind of interaction. And it means that different levels of the chain may produce different times, depending on the frequencies at which they vibrate and the depth at which they contact one another.

· · ·

Begin with the physics. The most consequential development in high-energy theoretical physics over the past two decades is the growing consensus that spacetime is not fundamental. It breaks down. Below the Planck scale, roughly 10⁻³³ centimetres and 10⁻⁴³ seconds, space and time lose all operational meaning. They are not merely difficult to measure at that scale; they cease to be coherent concepts. Whatever reality is at its deepest level, it is not made of space and time.

This is not a fringe position. Nima Arkani-Hamed and Jaroslav Trnka demonstrated in 2013 that the scattering amplitudes of particle physics, the most fundamental calculable quantities in nature, can be derived from the volume of a geometric object called the amplituhedron. This object exists in an abstract mathematical space entirely outside spacetime. Locality and unitarity, the two pillars of quantum field theory, are not starting assumptions in this framework; they are consequences that emerge from the geometry. The amplituhedron is, in Arkani-Hamed's own description, basically timeless. Change does not happen to it. What we perceive as change arises from the structure of the object, not from any process within it.

Donald Hoffman, the cognitive scientist whose interface theory featured in the previous essay, has pushed this reasoning into a theory of consciousness. In a 2024 paper titled Spacetime Is Doomed, Hoffman argues that the arrow of time is a projection artifact. He models conscious agents as Markov chains, mathematical systems whose dynamics are governed by probabilistic transitions between states. A key property of these chains is that their long-run dynamics are stationary: they settle into a distribution that does not change. There is no arrow. The appearance of a time direction arises only when an observer projects the full dynamics onto a subset of the states, when a part of the system tries to observe the whole from within. The information lost in that projection creates the illusion of increasing entropy. Time, on Hoffman's account, is what a limited observer experiences when it cannot see the whole.

Julian Barbour arrives at a similar conclusion from a different direction. In The End of Time, Barbour argues that there is no time, only configurations. Each possible arrangement of everything in the universe is a Now: a complete, static, self-contained snapshot. These Nows do not occur in sequence. They do not flow from one to the next. They exist, all at once, in an abstract configuration space Barbour calls Platonia. Our impression of temporal sequence arises because some Nows contain structures that look like records of other Nows: a brain with memories, a rock with fossils, a sky with light from distant stars. These records are not traces of a past that once existed. They are structural features of the present configuration. Time, for Barbour, is change and nothing more. But change itself is not a process unfolding in time; it is a relation between configurations that exist simultaneously.

Barbour describes the phenomenon with great precision, but leaves one question open: why do some Nows contain time capsules — structures that look like traces of other Nows? What connects configurations that are supposed to exist simultaneously and without relation to one another? Platonia, as Barbour conceives it, is a space of coexistence without contact. But coexistence without contact produces no record. A fossil presupposes not just a past organism but a process by which the organism left its mark — pressure, mineralisation, time. If the Nows of Platonia are truly isolated, no Now should contain evidence of any other. And yet they do. Barbour acknowledges this without resolving it. The mechanism is missing.

The answer this series proposes is resonance. Time capsules are resonance traces — the fossil of a contact that has already occurred. Two systems that have been coupled leave marks on one another: a brain shaped by experience, a rock shaped by weight, a culture shaped by a catastrophe. These marks are not memories of a past that once flowed. They are structural features of the present configuration, generated by the resonance that connected two systems at some point in Barbour's static Platonia. Barbour shows that the past does not need to have passed in order to leave a record. What he does not explain is how the record gets there. Resonance is the answer. It is the mechanism that Platonia requires and does not supply.

Carlo Rovelli, working in loop quantum gravity, completes the picture from yet another angle. The fundamental equations of quantum gravity contain no time variable. The Wheeler-DeWitt equation, the closest thing physics has to a master equation of the universe, is timeless. So Rovelli and the mathematician Alain Connes proposed a radical reversal: it is not time that produces thermodynamics, but thermodynamics that produces time. Their thermal time hypothesis holds that the statistical state of a system, its macroscopic condition, determines which variable functions as time for that system. Different states, different times. There is no universal clock.

These four lines of evidence converge on a single point. Time is not a container in which things happen. It is an appearance generated by the relationship between systems, or between a system and its own partial view of itself. The question that none of them answers is: if time is not fundamental, what is it positively? What exactly is time the measure of?

· · ·

The answer this essay proposes is: resonance. Time is the measure of contact between systems that vibrate at different frequencies. Where no contact occurs, no time arises. Where contact deepens into synchronisation, time thins and vanishes. Where contact is broken, time thickens and drags.

This movement — from resonance to time — has a reversal that is equally true, and equally important. In perceived reality, resonance requires time as its medium in order to take form at all. Without time, no space; without space, no definable frequencies; without frequencies, no resonance. Time and resonance are co-constitutive: neither causes the other, both emerge together. In this sense, time is the resonance body — like the body of a violin, which does not produce the tone but without which the vibration of the string takes no audible form. The string alone produces almost nothing. The body gives the vibration shape, volume, presence.

At the fundamental level — Barbour's Platonia, the atemporal space of the chain — this body does not exist. There, patterns exist without medium. They are complete, self-contained, timeless. Time is what arises when the pattern instantiates itself in perception: when a level of the chain enters into contact with another level, and that contact requires a frame within which it can register. The resonance body is not imposed from outside. It is generated by the act of contact itself. This is why the circularity that seems to threaten the resonance model — oscillations presuppose time; time presupposes oscillations — is not a circularity at all. It is a co-emergence. Time and resonance do not cause each other. They constitute each other, simultaneously, at the moment a system touches another and something arises that was not there before.

This claim has a philosophical lineage that predates the physics by three centuries. In 1715, Gottfried Wilhelm Leibniz challenged Isaac Newton's conception of time as an absolute, empty container that flows uniformly regardless of what fills it. For Newton, time existed before the world and would continue to exist if the world were annihilated. For Leibniz, this was nonsensical. Time is the order of succession, he insisted, the sequence in which things follow one another. Without things, no succession; without succession, no time. If God had created the world a million years earlier, nothing would be different, because there is no absolute temporal location for it to be earlier than. Time is a relation between events, not a stage on which events are set.

Leibniz could not formalise his intuition. Newton won the practical argument, and physics was built on absolute time for two centuries, until Einstein showed that Leibniz had been right all along. Time is relative. It depends on the observer's velocity and gravitational field. There is no universal Now.

The claim of this essay goes further. For Leibniz, time is the order of succession. But succession itself presupposes something: contact. Two events succeed one another only if something connects them, a signal, a causal chain, an interaction. Without interaction, there is no before and after. There is only coexistence without relation. The deeper formulation is not that time is the order of succession, but that time is the measure of touch. It arises where systems with different internal frequencies enter into resonance, where, to use Alfred North Whitehead's term, one event prehends another and integrates it into its own becoming. Prehension is the mechanism. Resonance is the condition. Time is the artifact.

J.M.E. McTaggart saw part of this over a century ago. In his 1908 paper The Unreality of Time, McTaggart distinguished two ways of ordering events. The A-series orders them as past, present, and future, a dynamic ordering that changes as time passes. The B-series orders them as earlier and later, a static ordering that never changes. McTaggart argued that time requires the A-series: without the passage from future through present to past, there is no change, and without change, there is no time. He then showed that the A-series is contradictory. Every event must be past, present, and future, but these determinations are mutually exclusive. His conclusion was that time is unreal.

This essay does not follow McTaggart to that conclusion. Time is not unreal; it is real in the way a shadow is real, cast by something, dependent on something, but not the thing itself. What McTaggart's proof shows is that time cannot be a fundamental structure without contradiction. And if it is not fundamental, it must be generated. The question is: by what? The answer offered here is resonance. Past, present, and future are not properties of the chain. They are perspectives, generated by the observer's embeddedness within the chain, by the specific contacts in which it participates at a given moment. The A-series is an interface feature: real for the observer, absent from the structure it observes. The B-series, the static ordering of earlier and later, is the trace that resonance leaves behind, the fossil record of contacts that have already occurred.

· · ·

If time is the measure of resonance, then the human experience of time should reflect this. It does, with surprising precision.

Return to the flow state. What Csikszentmihalyi describes is a condition in which the inner frequency of a consciousness and the frequency of the task before it synchronise completely. The challenge matches the skill. The rhythm of the work matches the rhythm of the worker. In this moment, the boundary between self and activity dissolves, and with it the experience of duration. This is deep resonance: a single coupling so complete that the distinction between the two systems collapses. Nothing remains to measure the distance between them. If time is the measure of contact, then perfect contact, contact without remainder, without gap, produces no measurable time at all.

But the vanishing of time is not limited to flow. Consider the opposite kind of day: one saturated with encounters, transitions, new faces, new places. A morning meeting, then a café with a friend, then a walk through an unfamiliar neighbourhood, then a phone call, then a dinner in a part of the city you have never visited. You arrive home exhausted, and the day feels impossibly short, as if it contained twice the experience it had room for. This is not the stillness of flow. This is serial resonance: the constant re-coupling of your own frequency with the frequencies of other systems. Each encounter modulates your internal rhythm. Each transition breaks one resonance and initiates another. The result is a dense succession of contacts with no empty interval between them, and since time is the measure of contact, a day packed with contacts contracts.

Now consider the third mode: the empty Sunday. No encounters, no modulation, no coupling. Your inner frequency runs unperturbed, touching nothing. There is no resonance to generate time, and so time does not move. It accumulates as a kind of pressure, the felt absence of contact, the weight of a system that has nothing to meet. This is resonance poverty. It is not that time is objectively slower; it is that there is less contact to produce the sensation of passage.

Three modes, one principle. Deep resonance, serial resonance, and resonance poverty are not three different phenomena. They are three positions on a single spectrum, the spectrum of contact between systems. Time is what that spectrum feels like from inside.

· · ·

What makes this more than psychology is that resonance does not stop at the boundary of consciousness. It operates at every level of the chain.

In 1666, the Dutch physicist Christiaan Huygens noticed something strange about two pendulum clocks mounted on the same wooden board. No matter how differently he set them swinging, within half an hour the pendulums would fall into perfect synchrony, ticking in exact opposition, as if an invisible hand had coordinated them. Huygens called it an odd kind of sympathy. He eventually traced the mechanism to the board itself: imperceptible vibrations transmitted through the shared surface coupled the two oscillators until their frequencies locked. No external clock imposed the synchrony. No signal told them when to swing. The shared time emerged from the contact, from the resonance between two systems connected by a medium that could carry their vibrations. Remove the board, and each clock returns to its own rhythm. The common time vanishes, because the coupling that produced it is gone.

This is the simplest possible demonstration of time as an artifact of resonance: two systems that generate a shared temporality through physical contact, and lose it the moment that contact is broken. Three and a half centuries later, the same principle appears in the human brain. The neuroscientist Sylvie Nozaradan and her colleagues have shown what happens when a person taps along to a musical beat. Using EEG, they recorded three simultaneous frequencies: one corresponding to the auditory beat at 2.4 Hz, one to the motor rhythm of the hand at 1.2 Hz, and a third, at 3.6 Hz, that corresponded to neither. This third frequency was a nonlinear product of the interaction between the sensory and motor systems. It existed in neither system alone. It arose between them, as a direct consequence of their coupling. This is not a metaphor for resonance. It is resonance, measured in hertz, generated by the contact between two systems and producing a temporal structure that neither system contains on its own.

Music, it turns out, is not merely an art that happens in time. It is an art that generates time: shared time, between performers and listeners, between brains and bodies, between rhythms that were separate and are now coupled. The entrainment of neural oscillations to a musical beat is the biological mechanism by which human beings create a common temporal framework. Without resonance, there is no shared beat. Without a shared beat, there is no music. Music is proof that time can be made.

The same principle scales across the entire biological world, and in doing so produces one of the most striking predictions of the resonance model: that different kinds of systems should experience different times, not merely different subjective impressions of the same objective time, but genuinely different temporal densities, generated by the depth of their resonance couplings.

The evidence for this is measurable. Smaller organisms with higher metabolic rates process more events per unit of clock time. The flicker-fusion rate — the frequency at which a series of flashes merges into the perception of continuous light — varies systematically across species. For humans, it is approximately 60 Hz. For flies, it is closer to 250 Hz. A fly perceives roughly four times as many distinct moments per second as a human being. A flyswatter, moving at what humans experience as ordinary speed, moves in something close to slow motion for the fly. This is not a psychological impression. It is a frequency, measured in hertz, determined by the speed of the organism's nervous system and its coupling to its environment. The fly lives in a denser time than we do, because it makes contact with its environment more often.

What varies between species is not the clock but the depth of resonance — the richness of coupling between a system and what surrounds it. Tononi's integrated information theory offers a framework for this. Φ, the measure of integrated information, quantifies how much a system generates as a whole over and above the sum of its parts. A single cell has a high metabolic rate but low Φ: its processes are local, parallel, largely uncoupled. There is activity but little integration. Time, in the sense of experienced moments, moves quickly because there are few resonance events to populate it — it passes without content. A human nervous system has vastly higher Φ: its processes are integrated across scales, each part informed by the whole. Time becomes dense, inhabitable, full. A system with even higher integration — if such a thing exists — would experience a time slower and richer still.

This is not a claim about the consciousness of trees or stars in any anthropomorphic sense. It is a structural claim: wherever there is coupling, there is some form of temporal experience, scaled to the depth of that coupling. The question of whether the sun has something it is like to be the sun is not one this essay can answer. What it can say is that if time is the measure of resonance, then every system that resonates has a time — and that time is its own.

At the planetary level, the same principle appears in a form that Nikola Tesla stumbled upon before anyone had a name for it. On 3 July 1899, during a massive electrical storm over Colorado Springs, Tesla registered rhythmic patterns in his detectors. Signals rose, peaked, faded, and returned at regular intervals as the storm moved away. Even after the storm had retreated three hundred kilometres, the signals continued. Tesla's conclusion was immediate: he was observing stationary waves in the Earth itself. The planet was responding to electromagnetic impulses with a frequency of its own. It was, in his words, thrown into resonant vibration like a wire.

In 1900, Tesla published a sentence in Century Magazine that formulates, without philosophical apparatus, exactly the claim of this essay. Every movement in nature, he wrote, must be rhythmical, borne out in the movement of a planet, in the surging and ebbing of the tide, in the oscillations of an electric current, and in the infinitely varied phenomena of organic life. Birth, growth, old age, and death: what is it all but a rhythm?

Fifty-three years later, the physicist Winfried Otto Schumann confirmed the measurement. The cavity between the Earth's surface and the ionosphere sustains electromagnetic resonances, the lowest at 7.83 Hz, excited by the roughly fifty lightning strikes that occur every second across the globe. The planet has a pulse: not a metaphor, but a measurable oscillation, maintained by the continuous contact between Earth, atmosphere, and ionosphere.

Tesla had no way of knowing what his discovery meant. He measured the Earth's resonance and used it to transmit energy. What he could not ask, working half a century before quantum gravity, was whether resonance is not merely a feature of this planet but a structural principle of reality at every scale. Whether the same coupling that makes the Earth vibrate at 7.83 Hz also makes a neuron fire in synchrony with a beat, two pendulums lock on a shared board, and a consciousness lose its grip on duration in the depths of flow.

This is the claim of this essay. The chain has no privileged level. What operates at the level of the neuron operates at the level of the planet. What operates at the level of the planet operates at the level of the Absolute. Time is not a frame imposed on the chain from outside. It is the sound the chain makes when its links touch.

· · ·

The hardest objection to this picture concerns causality. If time is relational, if it arises from resonance between systems rather than flowing independently of them, then what becomes of the causal order? Causality, in its ordinary conception, presupposes temporal sequence: the cause comes before the effect. If time is not fundamental, then neither is the before-and-after structure on which causality depends. And without causality, the very concept of explanation seems to collapse. We explain things by citing their causes. If causes do not precede their effects in any fundamental sense, what is left of explanation?

This objection must not be dismissed. It marks a genuine difficulty that this essay does not resolve. What it can do is reframe the question. If time is the measure of contact between systems, then the causal order is not a feature of reality in itself but a feature of reality as observed from within. The observer who is part of the chain, embedded in it, constituted by it, unable to step outside, experiences the contacts in which it participates as a sequence. One thing leads to another because the observer cannot see them simultaneously. Causality, on this account, is the temporal projection of a structure that is, in itself, atemporal, just as the arrow of time in Hoffman's model is the projection of a stationary dynamics onto a partial observation.

This does not mean that causality is an illusion. It means that it is an interface feature, a genuine aspect of how embedded systems interact, but not a property of the chain as a whole. The chain does not move. Its links resonate with one another, and that resonance produces, for each link, the experience of sequence. Whether this reframing is ultimately coherent, whether causality can survive being relocated from the structure of reality to the structure of observation, is a question this essay carries forward, not one it answers. It is the third structural tension of this series, joining the problem of teleology without foundation and the question of whether this is metaphysics or anthropology. These tensions are not failures of the argument. They are the places where thinking must remain alive.

· · ·

What has this essay shown? That the physical evidence converges on a single conclusion: spacetime is not fundamental. That Leibniz, McTaggart, and Whitehead each grasped part of the consequence: time is relational, time as a fundamental structure is contradictory, time is the product of process. That the human experience of time, in flow, in busyness, in boredom, maps precisely onto a resonance model. And that resonance operates at every level of the chain: neuron, organism, planet.

What it has not shown is how the contact happens. If time is the measure of resonance between systems, then everything depends on the resonance itself, on the mechanism by which one level of the chain touches another. Huygens' pendulums had their wooden board. Nozaradan's brain had a musical beat. The Earth has its atmosphere and its lightning. But what about the chain as a whole? How does a cell communicate with a tissue, an organism with a society, a consciousness with the Absolute? If resonance is the condition for time, then communication, the act by which systems enter into contact at all, is prior to time itself. It is not something that happens in time. It is what makes time possible.

The chain is silent until its links touch. When they do, the silence breaks — and what breaks it is what we call time.

But this image, precise as it is, leaves a question it cannot answer. Huygens' pendulums shared a board. Nozaradan's brain had a musical beat. The Earth has its atmosphere and its lightning. Each resonance required a medium — something through which the coupling could travel, something that carried the vibration from one system to the other. What is the medium of the chain as a whole? How does a cell communicate with a tissue, a consciousness with the Absolute, one level of the nested structure with the level above and below it? If time is the measure of contact, then what makes contact possible in the first place — across levels that do not share a common frequency, a common board, a common sky — is the question that determines everything. The answer, this series will argue, is not a signal. It is a field. And the field has a shape.

Bibliography