Philosophical physics · revised paper

Matter Carries Clocks, Photons Mark Time

Time, causal order, emergence, and gravity in a relational process ontology

Julio C. Spinelli
14 August 2026
Philosophy of physics / conceptual foundations

Abstract

This paper proposes a philosophical worldview in which physical reality is understood as an ordered network of state-changing processes rather than as a collection of substances evolving inside an independently flowing time. Time is real, but its physical meaning is relational: it is manifested through the ordering, duration, and comparison of changes carried by physical systems. Matter commonly carries clocks because material systems can sustain internal transitions, preserve records, and follow timelike histories. Photons mark time because emission, propagation, and absorption connect separated events and permit clocks to be compared across spacetime. The slogan is functional rather than exclusive: photons are the paradigmatic null signals of this architecture, while other physical carriers may also establish causal relations.

The resulting universe has no master clock. It is a distributed and nonlinear system in which local histories are related by causal exchange, macroscopic order emerges from quantum correlations, decoherence, conservation, and coarse-graining, and stable structures arise as persistent patterns within continuing change. The thermodynamic arrow is associated with the formation of records and the asymmetric accessibility of correlations. Gravity is interpreted as the large-scale organization, and possible resynchronization, of local clock relations: energy and geometry determine how distinct histories remain mutually compatible without becoming identical. The discrete proper-time proposal developed in the Spinelli framework is presented as a possible physical completion of this ontology, in which temporal measure may possess a finite local resolution without selecting a universal frame. The paper’s purpose is philosophical synthesis. Formal field equations, numerical tests, and phenomenological predictions belong to a separate physical-theory treatment.

Keywords: philosophy of time; process ontology; proper time; photons; relational time; emergence; entropy; decoherence; gravity as resynchronization; discrete proper time

1. Introduction

Time is indispensable to physical description and yet difficult to place within a coherent picture of reality. Classical mechanics treated it as a universal parameter that advanced identically everywhere. Relativity dissolved that universal present into local proper times, causal relations, and frame-dependent conventions of simultaneity. Quantum mechanics, meanwhile, describes physical systems through changing states while usually retaining time as an external parameter. Thermodynamics introduces an arrow absent from many microscopic equations, and cosmology asks how a temporal order can be assigned to the universe as a whole when no external clock exists.

These tensions suggest that the ordinary image of objects moving through a pre-existing river of time is philosophically inadequate. A clock is not outside nature observing that river. It is a physical system undergoing organized change. A signal is not an abstract timestamp. It is a physical propagation connecting one event with another. A record of the past is not stored in time itself. It is encoded in the present state of matter. Once clocks, signals, and records are placed inside the world, time begins to appear less like an independent substance and more like an order expressed through physical relations.

The worldview developed here begins from that inversion. Physical systems do not merely occupy time; through their changes and relations they instantiate the temporal structure that can be observed. The concise expression of this view is:

Matter carries clocks. Photons mark time. Reality is the ordered history of physical change.

This proposition does not reduce all of physics to clocks and photons. “Matter” names the persistent, state-bearing systems that most naturally support local histories. “Photons” name the paradigmatic null signals through which distant events and clocks are related. The central claim is architectural: enduring processes carry temporal order, causal exchanges connect them, and the universe acquires its observable history through the structured relation of the two.

The proposal is a philosophy of physics rather than a substitute for physical theory. It aims to provide a unified interpretation of proper time, causal signaling, entropy, classical emergence, and gravitation. It is inspired by the Spinelli discrete proper-time framework, but does not depend upon the completion of that framework. Its first task is to identify the ontology that the physics suggests: a world of processes, correlations, records, and causal relations, without a universal clock standing outside them.

2. Reality as process

Substance-centered language encourages us to imagine the world as a collection of things that remain fundamentally what they are while acquiring different properties over time. Process ontology reverses the emphasis. What persists is itself maintained by activity: an atom is a stable quantum organization, a star is a continuing balance of gravitation and energy transport, an organism is a regulated exchange of matter and information, and even a measuring instrument remains functional only because its internal degrees of freedom preserve reliable relations.

To call these entities processes is not to deny their reality. It is to locate their reality in organized persistence rather than changeless substance. A whirlpool is real even though its water is continuously replaced. A biological identity is real even though its material constituents and internal states change. A clock is real because its changing states preserve a rule. In each case, stability is achieved through structure within change.

This ontology treats an event as a physically distinguishable transition and a system as an organized continuity across transitions. Relations are not secondary descriptions imposed by observers; they are part of what allows a system to exist and to be identified. Quantum states are defined through possible interactions and correlations. Relativistic events acquire causal significance through their spacetime relations. Thermodynamic states depend upon coarse-grained relations among many degrees of freedom. The world disclosed by physics is therefore neither pure flux nor static being. It is structured process.

A process worldview also changes the philosophical question about time. If objects themselves are stabilized histories, asking how they could exist “in” time may put the container before its contents. The prior question becomes: what order among processes makes duration, succession, and causal history physically meaningful?

3. Time as ordered physical change

Physical time is encountered through change. A pendulum changes position, an atomic clock accumulates phase, an unstable particle decays, a planet changes its relation to the Sun, and a nervous system forms memories. None of these mechanisms is time itself; each is a physical process whose ordered states can be used to measure duration. Their common feature is not a particular substance but a reproducible correlation between distinguishable states.

The relational thesis can therefore be stated as follows:

Physical time is the measurable order and duration of state changes, established through correlations among physical systems.

This thesis does not make time unreal. Temperature is not unreal because it emerges from statistical relations, and geometry is not unreal because it is inferred through rods, clocks, and light. Emergence concerns the manner in which a property is physically instantiated, not whether it exists. Time is real as order, duration, and causal succession. What the relational account rejects is an additional, unobservable fluid that must flow for physical processes to occur.

Relativity supplies the most precise expression of local temporal measure. Along a timelike path, the spacetime metric defines proper time:

dτ² = −gμν dxμdxν / c²    for signature (−,+,+,+).

A good clock realizes this relation through its internal evolution. Different clock mechanisms agree because they participate in the same local spacetime structure, not because one privileged mechanism creates time for all the others. Proper time is both geometric and operational: geometric because it depends on the metric and the path, operational because it becomes physically accessible only through a system capable of accumulating and displaying change.

Relational approaches to quantum time deepen this picture. In Page–Wootters-type constructions, a global state may be stationary while one subsystem functions as a clock relative to which another exhibits change. Laboratory demonstrations show that internal correlations can order an observed evolution. Such results do not settle every metaphysical question about time, but they establish an important principle: temporal description need not always be imported from an external classical parameter. A clock can be a participant in the same physical world it orders.

4. Matter carries clocks

Matter carries clocks because material systems can preserve ordered internal histories. Atoms possess transition frequencies. Molecules rotate and vibrate. Unstable particles carry characteristic lifetimes. Macroscopic bodies undergo mechanical, chemical, and thermodynamic cycles. Living systems retain memory, repair structure, and anticipate future states. These are different expressions of a common capacity: persistence through an ordered sequence of physically distinguishable configurations.

The phrase “clock-bearing” is functional. A system need not have a dial, and not every massive object is automatically a useful clock. To function as a clock, a process must contain a degree of freedom that varies in a sufficiently regular or calibratable way, survives long enough to be compared, and leaves a readable correlation with other events. Material systems are especially suited to this role because their timelike histories permit localization, recurrence, storage, and memory.

The deeper philosophical point is that a clock does not merely report a history imposed from elsewhere. It carries a history. Its present state contains an ordered relation to earlier states. A cesium clock carries accumulated phase; a geological formation carries stratification; an organism carries memory and aging. The degree of precision differs, but in each case matter functions as a bearer of temporal structure.

This also illuminates identity. A physical object is not identical because every constituent remains unchanged. It is identical insofar as a sufficiently stable organization connects its successive states. Identity is thus historical and dynamical. Matter carries clocks because matter carries the continuities from which a before and after can be physically reconstructed.

5. Photons mark time

A local clock can order events along its own history, but a universe requires relations among separated histories. Photons provide the paradigmatic bridge. An emission event at one system and an absorption event at another create a physical relation between them. Repeated exchanges allow distant clocks to be compared, positions to be inferred, velocities to be measured, and causal histories to be reconstructed. Astronomy is possible because radiation carries marks of remote events into present detectors. Relativistic metrology is possible because electromagnetic signals connect clocks across space.

Along an ideal null path, the proper-time interval is zero. There is also no inertial rest frame in which a photon is stationary. It is therefore better not to imagine a photon as a small observer possessing its own ticking clock. Its temporal role is relational: it connects the clock-bearing histories at its endpoints. Emission and absorption are state changes in material systems; the photon is the causal carrier through which those changes become related.

This gives the title its intended meaning:

Matter carries clocks
Persistent timelike systems sustain ordered states, memory, and local duration.
Photons mark time
Null signals connect events, compare clocks, and extend temporal order across distance.

Photons are not the only physical messengers. Massive particles, neutrinos, gravitational radiation, and other interactions can also transmit correlations. Photons occupy the central philosophical image because light defines null structure in relativity and because electromagnetic exchange is the principal means by which clocks and observations are coordinated. The slogan identifies complementary functions, not an exhaustive classification of everything that exists.

Nor does a photon mark time by carrying a universal timestamp. What it carries is a physically structured possibility of correlation. The detector’s state after absorption can be related to the emitter’s state at emission. A network of such relations creates an observable causal history without requiring a single clock shared by the universe.

6. A distributed temporal universe

There is no master clock in relativity. Each timelike path carries its own proper duration, and the comparison of separated clocks depends upon motion, geometry, signal exchange, and synchronization convention. This absence of a universal present is not a deficiency. It reveals that the universe possesses a distributed temporal architecture.

“Distributed” means that temporal order is locally carried and relationally extended. It does not mean that all clocks are forced toward the same reading. In flat spacetime, Einstein synchronization provides a consistent convention for an inertial network. In accelerated or curved settings, global simultaneity may be unavailable or path-dependent. What remains physically meaningful is the network of local proper times, null connections, coincidences, and invariant causal order.

Synchronization in this worldview therefore has a broader meaning than setting two clocks equal. It is the establishment of lawful compatibility among local histories. Two clocks may tick at different rates and still be correctly synchronized in the relational sense if their difference is the one required by their motion and gravitational environment. Synchronization is not uniformity; it is coherence under transformation.

This is analogous to a distributed information system in which no single node contains the whole history, yet consistent relations permit a larger order to emerge. The analogy must not be taken as a claim that the universe is literally a computer. Its value is structural: local systems preserve partial records, signals communicate correlations, and physical laws constrain how independently carried histories can be combined.

The universe on this view is not one enormous clock. It is a network of clocks and causal links. Cosmic history is the relational order that this network supports.

7. Entropy, records, and the arrow of time

Temporal order alone does not explain why the past appears fixed and the future open, why memories point in one direction, or why macroscopic processes are difficult to reverse. The arrow of time arises from the statistical organization of physical histories.

Many microscopic laws permit time-reversed solutions. Macroscopic systems nevertheless evolve from less probable to more probable coarse-grained conditions because the accessible degrees of freedom overwhelmingly favor them, given appropriate boundary conditions. Entropy characterizes this asymmetry. It is not a force pushing the universe forward; it is a measure of how microscopic possibilities are distributed beneath macroscopic descriptions.

The formation of records gives this statistical asymmetry philosophical significance. A record is a present physical state correlated with another event: a detector excitation, a memory, a fossil, a photograph, a scar, or radiation arriving from a distant galaxy. Durable records require amplification, environmental interaction, and the dispersal of information into degrees of freedom that are practically impossible to reverse. The thermodynamic arrow and the record-making arrow therefore reinforce one another.

Decoherence helps explain how quantum alternatives become embedded in stable macroscopic histories. Through interaction with an environment, phase relations become inaccessible to local observation and certain states acquire exceptional robustness. This does not by itself select a unique interpretation of quantum mechanics, but it explains why the world presents persistent records rather than unrestricted macroscopic interference.

From the viewpoint developed here, the experienced flow of time is rooted in an asymmetry of record formation. Matter carries clocks, but it also carries memories. The past is available through present correlations; the future is represented through dispositions, probabilities, and constraints rather than records of events already encountered. The arrow is thus not a second time layered on top of physical order. It is the direction in which ordered change builds an expanding architecture of records.

8. Chaos, stability, and emergence

A process universe is neither a rigid mechanism whose future is transparently encoded in its present nor an unstructured succession of random events. Nonlinear interaction permits small differences to be amplified, correlations to spread, and qualitatively new organizations to appear. Classical chaos demonstrates how deterministic laws can generate practical unpredictability. Quantum theory adds irreducible probabilistic structure in standard interpretations. Thermodynamics constrains the collective evolution of enormous numbers of degrees of freedom.

Order can emerge within this complexity because physical dynamics are constrained. Conservation laws limit possible transformations. Energetic minima and metastable states preserve structure. Symmetries organize interactions. Decoherence stabilizes particular macroscopic records. In open and dissipative systems, attractors may channel many initial conditions toward a common pattern. No one of these mechanisms explains every level of reality; together they show how persistence can arise without changeless substance.

The relation between microscopic transition and macroscopic reality can be summarized as a layered sequence:

microscopic transitions → correlations and causal exchange → decoherence and coarse-graining → robust collective patterns → macroscopic histories

Attractors belong within this sequence where an open or effective dynamics supports them. A heartbeat, a chemical oscillator, an ecosystem, and a climate regime may exhibit attractor-like organization while remaining sensitive to perturbation. Closed Hamiltonian systems need not collapse onto attractors, but their coarse-grained subsystems can still display effective stability. The philosophical lesson is not that the entire universe approaches one final attractor. It is that enduring forms may be dynamically selected within a universe that never ceases to change.

This account unifies the microscopic and macroscopic domains without erasing their differences. The classical world is not a separate ontological layer placed above quantum reality. It is quantum and statistical process organized into histories sufficiently stable to function as objects, clocks, observers, and environments. Continuity at the macroscopic level may be the appearance generated by extremely dense and mutually constrained transitions at a deeper level.

9. Gravity as resynchronization

Gravity reveals that temporal relations are inseparable from physical structure. In general relativity, energy and momentum are associated with spacetime curvature, and curvature determines the proper durations accumulated along different paths. Clocks at different gravitational potentials do not disagree because one is defective; their different readings express the geometry through which their histories unfold.

This invites a relational interpretation of gravity as resynchronization. The term does not mean that gravity forces all clocks to run alike. It means that gravitational structure continually determines how locally carried times fit together. Matter-energy changes the relations among neighboring histories; the metric expresses the lawful compatibility of their rates, trajectories, and causal connections. A change in gravitational environment is therefore a change in the synchronization structure of the world.

The equivalence principle gives this interpretation depth. Gravitational influence is universal because it is not simply another force acting differently on different materials. It concerns the common spacetime relations within which all suitable clocks and freely falling systems evolve. Gravity organizes the stage only in the sense that the stage itself is relational and dynamical: its geometry is read through the behavior of the physical systems that inhabit it.

Resynchronization can be understood at two complementary levels. At the descriptive level, it is an interpretation of relativistic geometry in the language of clocks and causal relations. At a deeper speculative level, the Spinelli framework asks whether geometry itself may express the collective regulation of finite local temporal updates. The first level supplies the philosophical worldview of this paper. The second motivates a physical research program to be developed through formal theory.

The interpretive gain is unity. Gravitational redshift, time dilation, free fall, and causal propagation cease to be separate facts appended to a background notion of time. They become aspects of one relational structure: energy-bearing systems carry local histories, signals connect those histories, and gravity determines how the entire network remains mutually ordered.

10. The possibility of discrete proper time

If time is physically manifested through state change, a further question arises: must physical change be infinitely divisible? Continuum mathematics permits arbitrarily small intervals, but mathematical divisibility does not by itself establish physical divisibility. A process ontology leaves open the possibility that an elementary transition possesses a finite temporal resolution.

The discrete proper-time proposal explored in the Spinelli framework takes this possibility seriously. Its fundamental interval is associated with proper time along a physical history rather than with a universal coordinate time. This distinction is essential. A universal discrete clock would select a preferred frame and conflict with the relational lesson of relativity. A local invariant resolution, by contrast, would belong to each timelike process while preserving the absence of a cosmic master clock.

In philosophical terms, discrete proper time would mean that continuity is an effective description of densely ordered transitions rather than the ultimate constitution of temporal becoming. Matter would carry clocks because matter accumulates finite local updates. Photons would mark time because null propagation relates the endpoints of those updates without supplying an independent comoving clock. The distributed universe would then be a network of locally finite histories joined by causal exchange.

This possibility is conceptually attractive for three reasons. First, it joins quantum discreteness with relativistic locality without discretizing a preferred external time. Second, it gives physical content to the idea that a state change is an event rather than an infinitesimal passage through an actually completed continuum of intermediate states. Third, it suggests that infinities appearing in extreme physical descriptions may signal the breakdown of unlimited temporal divisibility.

These are motivations, not conclusions. The philosophical worldview does not require that the minimum interval already be known, nor that every continuum description be replaced. A continuous effective spacetime may emerge from discrete local processes just as smooth thermodynamic fields emerge from molecular dynamics. Whether nature actually possesses such a resolution is a question for the formal theory paper and for experiment. The present point is that discrete proper time is a coherent extension of relational process ontology when it is attached to local histories rather than to an absolute background.

11. Information and causal order

Information in physics is not an immaterial message detached from its carrier. A physical distinction becomes information when it can alter the state of another system or become part of a record. Communication therefore requires a causal process linking a preparation event to a detectable change.

Photons exemplify this connection. A modulated electromagnetic field can transform the state of a receiver, and its propagation is constrained by relativistic causal structure. Yet the speed limit is not produced by photons as a special metaphysical substance. It belongs to the causal organization of spacetime and field dynamics. Other carriers must obey the same causal order if they are to transmit controllable information within relativistic physics.

This reveals a close relation between time and information. To receive information is to undergo a change correlated with another event. To preserve information is to maintain that correlation through subsequent changes. To compare times is to exchange information between clocks. Temporal order becomes observable through the creation and transport of records.

A universe without causal exchange could contain isolated local sequences, but it could not assemble them into a shared physical history. Signals make relational time extensive. They allow the before and after carried by one system to become relevant to another. Causality is therefore not merely a restriction on temporal process; it is the architecture through which local temporal processes constitute a universe.

12. The philosophical position: relational process realism

The worldview developed here may be called relational process realism. It is realist because clocks, events, fields, causal relations, and spacetime structure are not treated as convenient fictions. It is relational because temporal and spatial meaning arises through physically instantiated relations rather than through an inaccessible external frame. It is processual because persistence is understood as organized continuity across change.

This position occupies a middle ground among familiar philosophies of time. It rejects Newtonian substantival time as a universal flowing medium. It also resists the claim that time is merely subjective, since proper-time differences, causal order, and irreversible records are objective physical facts. It is compatible with the mathematical representation of spacetime as a four-dimensional manifold, but it does not infer that process and becoming are illusions. A complete geometric representation can encode a history without replacing the physical transitions and records that give the history content.

The “present” in this view is local rather than cosmic. It is the state from which a physical system carries records of previous interactions and dispositions toward possible future interactions. Different systems need not share one universal now in order to inhabit one causally coherent world. Their histories overlap through events and signals.

Nor is the universe reduced to computation. Discrete transitions, information, and distributed coordination invite computational metaphors, but a metaphor becomes ontology only if the physical theory warrants it. Relational process realism requires no external programmer, no universal update register, and no assumption that every physical distinction is fundamentally digital. It asserts only that reality is dynamically structured and that temporal meaning is borne by physical processes themselves.

Compared with a purely relational account, the present view assigns greater reality to the structures that constrain relations. The spacetime metric, quantum fields, symmetries, and conservation laws are not arbitrary summaries of observations. They express objective regularities that make stable clocks and causal comparisons possible. Process and structure are therefore complementary: process supplies physical occurrence; structure supplies the lawful form of its relations.

13. Clarifications and philosophical objections

13.1 Is time being reduced to whatever a clock measures?

No. A clock is an implementation of temporal measure, not its arbitrary creator. Suitable clocks agree after relativistic effects are accounted for because their dynamics participate in a common physical structure. The relational thesis is that time becomes physically meaningful through such implementations and comparisons, not that any repetitive process defines reality by convention.

13.2 Would a universe without change have no time?

It might still admit a mathematical temporal parameter, but that parameter would have no internal physical manifestation. No event could distinguish one supposed moment from another, no clock could measure a duration, and no record could establish an order. The relational view therefore regards observable time without possible change as physically empty.

13.3 Does “matter carries clocks” exclude fields?

No. The word “matter” is used in the broad physical sense of persistent, state-bearing systems, including organized field configurations and collective excitations when they support timelike histories and readable correlations. The slogan contrasts clock-bearing persistence with signal-mediated relation; it does not impose a rigid particle taxonomy.

13.4 Does “photons mark time” make electromagnetism fundamental to every change?

No. Photons are the paradigmatic markers because light defines null relations and dominates practical clock comparison. Other interactions and carriers also connect events. The philosophical category is the causal signal; the photon is its clearest physical representative.

13.5 Is synchronization merely a metaphor for gravity?

It is an interpretation grounded in an operational fact: gravity is observed through the relative behavior of clocks, light, and freely moving systems. As philosophy, resynchronization emphasizes the relational content of geometry. To become a distinct physical mechanism, it must be expressed in a formal theory with its own testable consequences. That later task does not diminish the interpretive unity already provided here.

13.6 Must process ontology imply discrete proper time?

No. Process can be modeled continuously or discretely. Discrete proper time is a natural but optional completion of the worldview. Its attraction lies in assigning finite local resolution to physical change without restoring absolute time. Its truth remains a physical question.

13.7 Is the universe itself an attractor?

The universe contains many systems with attractor-like behavior, but the entire cosmos need not approach a single attractor. The more general claim is that stable forms can emerge dynamically through constraints, decoherence, coarse-graining, and, where appropriate, open-system attractors. The worldview is one of structured becoming, not inevitable convergence to a final state.

14. Conclusion

The physical world does not present time as an independent object. It presents clocks, transitions, signals, trajectories, memories, decays, correlations, and records. From these, duration and history become observable. Relativity teaches that the resulting time is local and path-dependent. Quantum theory teaches that clocks and observations are themselves physical. Thermodynamics teaches that records accumulate asymmetrically. Gravitation teaches that the relations among local histories are dynamical.

A coherent worldview emerges when these lessons are considered together. Reality is structured process. Matter carries clocks by sustaining ordered timelike histories. Photons mark time by linking emission and absorption events across null relations. Causal exchange extends local order into a distributed history. Entropy, decoherence, and coarse-graining give that history a macroscopic arrow. Stable objects are persistent organizations within change. Gravity expresses the large-scale coordination—and, in the language proposed here, resynchronization—of local clocks and causal relations.

Discrete proper time may provide a deeper physical realization of this picture. If it does, the universe is not synchronized by an external metronome. Each physical history carries its own invariant temporal resolution, and the coherence of the world arises from the lawful relation of those local histories. If time remains continuous at the fundamental level, the relational ontology still stands: physical time is known and instantiated through the ordered processes of the world.

Matter carries clocks. Photons mark time. Gravity relates the clocks, causality orders their exchanges, and the universe is the history that their changing relations create.

This is not a completed theory of nature. It is a philosophical orientation for one: a way of seeing time, matter, light, emergence, and gravity as aspects of a single process architecture. Its value lies in the unity it offers and in the questions it makes possible. The formal physical theory, its numerical development, and its experimental tests are the next stage of the inquiry.

References

  1. Spinelli, J. C. “Finite Lorentz Factor from Discrete Proper-Time Quantization: Modified Dispersion Relation and Phenomenology.” engrXiv preprint 5376 (2025). DOI: 10.31224/5376. Preprint.
  2. Spinelli, J. C. “Quantum Fields on Discrete Proper Time: Vacuum Stress–Energy Corrections, Non-Equilibrium Phenomenology, and Experimental Targets.” engrXiv preprint 5445 (2025). DOI: 10.31224/5445. Preprint.
  3. Spinelli, J. C. “Quantized Proper Time and Gravity as Resynchronization: A Minimal Discrete-Time Framework for Singularities and Quantum Corrections.” engrXiv preprint 5551 (2025). DOI: 10.31224/5551. Preprint.
  4. Einstein, A. “On the Electrodynamics of Moving Bodies.” Annalen der Physik 17 (1905): 891–921.
  5. Minkowski, H. “Space and Time.” Address delivered at the 80th Assembly of German Natural Scientists and Physicians, Cologne (1908).
  6. Page, D. N., and Wootters, W. K. “Evolution without Evolution: Dynamics Described by Stationary Observables.” Physical Review D 27 (1983): 2885–2892.
  7. Moreva, E., et al. “Time from Quantum Entanglement: An Experimental Illustration.” Physical Review A 89 (2014): 052122. DOI.
  8. Barontini, G. “Testing the Problem of Time with Cold Atoms.” Physical Review Research 8 (2026): L022047. DOI.
  9. Rovelli, C. “Relational Quantum Mechanics.” International Journal of Theoretical Physics 35 (1996): 1637–1678.
  10. Zurek, W. H. “Decoherence, Einselection, and the Quantum Origins of the Classical.” Reviews of Modern Physics 75 (2003): 715–775.
  11. Gell-Mann, M., and Hartle, J. B. “Classical Equations for Quantum Systems.” Physical Review D 47 (1993): 3345–3382.
  12. Jaynes, E. T. “Information Theory and Statistical Mechanics.” Physical Review 106 (1957): 620–630.
  13. Micadei, K., et al. “Reversing the Direction of Heat Flow Using Quantum Correlations.” Nature Communications 10 (2019): 2456.
  14. Eckmann, J.-P., and Ruelle, D. “Ergodic Theory of Chaos and Strange Attractors.” Reviews of Modern Physics 57 (1985): 617–656.
  15. Bothwell, T., et al. “Resolving the Gravitational Redshift across a Millimetre-Scale Atomic Sample.” Nature 602 (2022): 420–424.
  16. Landauer, R. “Information Is Physical.” Physics Today 44, no. 5 (1991): 23–29.