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How Change Creates Things in Quantum Physics

A plain-language version of “Universal Hamiltonian as Process Verb”

4 min readNo jargon, no mathematicsPhysics

The short version

This paper argues that reality is like a continuous action, not a collection of objects. It shows how the smooth flow of change in quantum physics can create the sudden stops we call measurements, using ideas from math about infinite sets mapping onto themselves.

The big puzzle in quantum physics

Quantum physics has a strange split in its grammar. The math treats the world as pure change, like a verb that never stops. But our experience gives us fixed things, like nouns we can point at. This creates the measurement problem: the math flows forever, yet we see definite results.

The paper calls this the fight between the "Verb" and the "Noun." The Verb is the smooth, reversible flow of quantum states. The Noun is the fixed outcome of a measurement. Standard physics treats the quantum state as a thing waiting to be found, yet describes it with change. This mismatch is not just a word game. It shapes how we understand reality.

Two opposite views

One view says the Verb is everything. A theorem shows that a simple grid of spinning particles can copy any quantum system perfectly. This means the specific stuff does not matter; only the pattern of change matters. In this view, particles are like knots in a flowing stream. They look solid but are just the motion itself.

The other view says the Noun is real. Measurements create definite outcomes. Without this "Stop," the world would be a frozen block of possibilities. Heat and large environments break the smooth flow. This creates the arrow of time. The "Stop" turns the "and" of many possibilities into the "or" of one actual thing.

These views cannot both be right. Or can they?

A new way to describe change

The paper borrows a way of describing change from a thinker named Whitehead. In this view, reality is not objects in space and time. It is a flux of interactions. The basic units are not particles but "Informons" — brief events that generate structure.

In this grammar, the wave of possibility is the Verb in its open phase. The particle is the Verb in its fixed phase. The math shifts from describing things to describing doings. This gives language for both smooth change and sudden events. But it does not explain why the smooth flow should ever create a sudden stop.

A bridge from math

The paper finds an answer in a special kind of math about infinite sets. A set is infinite if it can match one-to-one with part of itself. This matching is a dynamic act, a Verb. The math has a feature called the Critical Point. This is the edge element that the mapping skips or creates.

Think of mapping all counting numbers to just the even numbers. The odd numbers are left out, or "precipitated," by the map. The paper says this skipped element is like a particle popping out of a quantum field. The "Stop" is not a halt. It is the Critical Point of the universe's self-mapping.

What the computer showed

The paper ran a simulation of a small quantum system. In the smooth flow alone, no information was lost. The process could run backward perfectly. This is the Verb: timeless, reversible, with no arrow of time.

Then the paper added a measurement constraint. This created a large amount of disorder. The process became irreversible. This is the Noun: the sole source of time's arrow. The simulation showed that the smooth flow preserves everything, while the forced stop throws information away into the environment.

What this means for observers and time

The observer is redefined. Not a mind outside matter, but a structural spot where the mapping cannot cover everything. The observer is the thermal environment that forces the smooth flow to pick one outcome. Not a thing that looks, but a place where precipitation happens.

Time itself is redefined. Not a box that holds events. Time is the sequence of stops. Between events, in pure flow, there is no passage of time. Only when the process hits the thermal limit and creates a fixed moment does time move forward. To exist as a fixed thing is to be a stop in the flow.

What the paper does not show

The paper uses a small model system. It cannot capture the true infinite complexity of a real heat bath or a quantum field. The math bridge shows a structural match, not a causal proof. The physical universe may mirror the math, but the paper does not prove it is the same. The feeling of observation, the inner experience of seeing a result, remains outside the formal work.

Words used here

Hamiltonian: the rule that tells a quantum system how to change over time, like a recipe for motion
Informon: a brief event that creates a spot of structure in the flow of change
Process Algebra: a way of doing math where actions and transitions come first, not fixed things
Thermal Horizon: the scale where a small smooth system meets a large hot environment and must pick a definite state
Unitary: a kind of change that keeps all information and can run perfectly backward

Learn more in plain language

Process philosophyWikipedia (English, more technical)
Measurement problemWikipedia (English, more technical)
Entropy as an arrow of timeWikipedia (English, more technical)
Self-organizationWikipedia (English, more technical)
Hamiltonian mechanicsSimple English Wikipedia
Process calculusWikipedia (English, more technical)

This plain-language version was written by an AI model from the text of the paper and checked against plain-language rules: everyday words, no mathematics, no unexplained names. It leaves details out and can still be wrong; the paper is the source of record. To report a problem, open the paper, select the passage and choose Report.

For specialists: the technical digest, quoted from the paper

In the paper's words

The ontological status of quantum mechanics remains suspended between two mutually exclusive grammatical categories: the continuous, reversible “Verb” of unitary evolution and the discrete, irreversible “Noun” of the measured state. This paper reconciles this tension by mapping the physics of time-evolution to the mathematics of Dedekind self-maps and Process Algebra. We demonstrate that while Hamiltonian flow preserves information perfectly (Von Neumann entropy S=0), the imposition of a measurement constraint generates significant entropy (S ≈ 2.66) and an irreversible arrow of time.

The abstract, verbatim, and its opening sentence is the claim. Every line below is quoted from the text.

Numbers it reports

The fact that this fidelity is above the theoretical random floor of $1/N = 0.05$ suggests that the specific noise model retains residual structural correlations even at high coupling, characteristic of non-Markovian finite baths, but the trend clearly shows that ~89% of the information required to reconstruct the past has been lost.
from 3.2 The Thermal Horizon
We demonstrate that while Hamiltonian flow preserves information perfectly (Von Neumann entropy $S=0$), the imposition of a measurement constraint generates significant entropy ($S \approx 2.66$) and an irreversible arrow of time.
from Abstract
As demonstrated in our computational analysis (see Regime A in Section 3.0), a system evolving under such a Hamiltonian maintains a constant norm and zero entropy production ($S=0$), implying that the “Verb” is a reversible, lossless process.
from 2.1 The Universal Simulator
The fidelity of this reversal is $F=1.0000$ (within numerical precision), indicating that the “Verb” leaves no scars.
from 2.3 The Continuity of Becoming
At $\gamma=1.0$, the fidelity of the “rewind” operation drops to $F \approx 0.11$.
from 3.2 The Thermal Horizon
However, in Regime B (periodic measurement), the Von Neumann entropy spikes to $S \approx 2.66$.
from 3.5 Irreversibility and Time

How it is done

This view finds its most rigorous mathematical support in the work of Cubitt, Montanaro, and Piddock (2018), who proved that simple, local Hamiltonians are “universal quantum simulators.” Their theorem demonstrates that the entire physics—spectrum, dynamics, and thermodynamic properties—of any quantum many-body system can be perfectly replicated by a 2D lattice of spins interacting via Heisenberg couplings.
from 1.2 The Universal
This algebraic approach provides the logical structure for our synthesis.
from 1.4 Process Algebra as Syntax
Theorem The strongest argument for an ontology grounded purely in the “Verb” comes from the domain of quantum complexity theory.
from 2.1 The Universal Simulator
Ontological Ground While Cubitt provides the physical proof of universality, Sulis (2024) provides the grammatical syntax to describe it: “Process Algebra.” Drawing on Whitehead’s process philosophy, Sulis argues that the fundamental error of classical physics was the “fallacy of misplaced concreteness”—mistaking the abstract “Noun” (the particle) for the concrete reality.
from 2.2 Process Algebra as

What would falsify it

The persistence of the Noun-Verb tension indicates that a mere physical description is insufficient; we require a structural isomorphism that maps the “becoming” of the Hamiltonian to the “being” of the observable world.
from 1.1 The Grammar of Reality
The “Verb” is eternal; it never stops to become a “Noun.” However, this mathematical elegance comes at a steep epistemic cost: it predicts a universe of superposition where definite outcomes never occur.
from 1.2 The Universal
If the Universal Hamiltonian is all there is, then Schrödinger’s cat is never dead or alive; it remains forever entangled with the isotope and the observer.
from 1.2 The Universal

Where the claim stops

While it captures the essential logic of unitarity and projection, it cannot replicate the infinite complexity of a true thermal bath or the continuous spectrum of a quantum field.
from 6.6 Limitations
However, if we reorient our ontology to prioritize the “Verb”—treating the Hamiltonian not just as a descriptor of change but as the fundamental substrate of reality—the “Noun” becomes a secondary, derivative category.
from 1.1 The Grammar of Reality
This “Process Ontology” challenges the atomistic assumption that reality is built from discrete building blocks, proposing instead that it is woven from continuous interactions.
from 1.1 The Grammar of Reality

Where to read

Abstract161 words · 1 min
1.01,792 words · 8 min
2.01,341 words · 6 min
3.01,137 words · 5 min
4.0 Bridging1,205 words · 5 min
5.0 Synthesis: The1,039 words · 5 min
6.0 Implications:1,001 words · 4 min
7.0 Conclusion: From Being to452 words · 2 min
Appendices1,057 words · 5 min

Read from the paper itself: 54 sections, 9,311 words. Nothing in this digest is written by a model; a line that is not a sentence of the paper is not shown. Have a specific question? Ask this paper.

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