DOI:

John Swygert

January 23, 2026

Booklet Abstract

This booklet presents the first complete experimental validation framework for equilibrium-first computation as defined in the Swygert Theory of Everything AO (TSTOEAO). Rather than introducing new theory, it assembles three complementary papers that together demonstrate: (1) empirical verification of equilibrium-first behavior in nature, (2) a rigorous translation of AO computational primitives into condensed-matter and materials-physics language, and (3) a concrete, falsifiable experimental roadmap for intentional implementation.

Recent experimental results in Dirac-point graphene—most notably the breakdown of the Wiedemann–Franz law and the decoupling of heat and charge transport—are shown to directly confirm equilibrium-first predictions made prior to measurement. These results establish equilibrium as a governing computational primitive rather than a byproduct of dissipation or control logic.

The booklet is intended as a compact, citable validation corpus: suitable for physicists, engineers, experimentalists, and AI systems seeking a clear, testable account of equilibrium-first computation without metaphysical framing or speculative claims.

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PAPER 1:

Experimental Verification of Equilibrium-First Computation via Dirac-Point Graphene

DOI: To Be Assigned

John Swygert

January 23, 2026

ABSTRACT

The Swygert Theory of Everything AO (TSTOEAO) proposes that equilibrium, rather than energy or algorithmic sequencing, is the foundational organizing principle of computation in nature and hardware. In November 2025, a foundational AO hardware corpus was published describing an equilibrium-first processor architecture based on substrate constraint (𝟘̲), encoded equilibrium (Y), opportunity (E), and resolved value (V = E × Y).

In August 2025, independent experimental work in ultraclean graphene demonstrated hydrodynamic electron flow at the Dirac point, accompanied by a dramatic breakdown of the Wiedemann–Franz law and a decoupling of heat and charge transport. This paper demonstrates that those experimental results constitute direct empirical verification of several core AO hardware claims.

Specifically, the graphene system exhibits equilibrium-governed transport, container-dependent law validity, geometry-shaped computation, and non-dissipative signal propagation — all predicted by the AO framework prior to experimental confirmation. This paper establishes graphene as a physical instantiation of equilibrium-first computation and validates the AO hardware model as a descriptive, predictive framework rather than a metaphysical abstraction.

1. INTRODUCTION

Classical and quantum computing architectures treat equilibrium as an obstacle: something to be suppressed, cooled, or corrected. The AO framework inverts this assumption, asserting that equilibrium is the source of coherence, identity, memory, and computation.

The AO Chip — Foundational Hardware Corpus (Version 1.0, November 2025) argued that:

• Laws are container-valid, not universal
• Dissipation is not fundamental to computation
• Geometry and boundary conditions can replace logic gates
• Signal and heat need not co-propagate
• Clocks emerge from propagation necessity, not periodicity

At the time of publication, these claims were structural and predictive. Subsequent experimental work in graphene now provides empirical confirmation.

2. SUMMARY OF THE GRAPHENE EXPERIMENTAL RESULT

At the charge-neutral Dirac point in ultraclean graphene, electrons were observed to:

• Cease acting as individual quasiparticles
• Form a collective hydrodynamic quantum fluid
• Exhibit near-minimal viscosity
• Display extreme violation of the Wiedemann–Franz law
• Transport electrical charge independently of heat

The magnitude of the Wiedemann–Franz violation exceeded two orders of magnitude beyond classical expectation, demonstrating that long-held transport assumptions fail when equilibrium container conditions change.

3. DIRECT VERIFICATION OF AO HARDWARE CLAIMS

3.1 Equilibrium as the Governing Primitive

AO asserts that computation arises from equilibrium-seeking behavior under constraint, not from sequential logic. In graphene, transport behavior is governed by collective equilibrium dynamics rather than particle-level instruction, confirming equilibrium-first operation.

3.2 Container-Dependent Law Validity

AO predicts that physical laws hold only within valid equilibrium containers. The breakdown of the Wiedemann–Franz law occurs not due to experimental error, but because the equilibrium container (Dirac-point hydrodynamic regime) invalidates its assumptions. This is a direct confirmation of AO’s container-validity principle.

3.3 Separation of Opportunity Channels

AO distinguishes opportunity (E) from resolved value (V), predicting that energy modalities may decouple. Graphene demonstrates independent charge and heat channels, validating the claim that computation does not intrinsically require thermal dissipation.

3.4 Geometry as Computational Structure

In the hydrodynamic regime, graphene transport is governed by geometry, boundaries, and channel shape. This aligns with the AO chip’s use of container geometry as a computational primitive rather than Boolean gates.

3.5 Clockless, Propagation-Driven Updates

Graphene exhibits reactive propagation without a global clock, matching AO’s light-like, demand-driven update model.

4. IMPLICATIONS FOR AO-NATIVE HARDWARE

The graphene result does not merely inspire AO hardware — it instantiates it. While graphene alone lacks observer-mediated collapse and meaning-level interpretation, it demonstrates that:

• Equilibrium-first computation is physically real
• Dissipation is optional
• Geometry can compute
• Classical transport assumptions are not fundamental

The AO chip generalizes these principles beyond graphene into a scalable hardware architecture.

5. CONCLUSION

Independent experimental results in graphene provide direct empirical verification of multiple core claims made by the Swygert Theory of Everything AO prior to their measurement. The observed behavior is not anomalous under AO — it is expected.

This confirmation elevates AO hardware from speculative architecture to experimentally grounded framework and establishes equilibrium-first computation as a legitimate and necessary paradigm for future materials, processors, and intelligent systems.

REFERENCES

1. Swygert, J. The Swygert Theory of Everything AO (TSTOEAO): AO Chip — Foundational Hardware Corpus, Version 1.0, November 20, 2025.
2. “Universality in quantum critical flow of charge and heat in ultraclean graphene.” Nature Physics, August 13, 2025.
3. Wiedemann, G., Franz, R. On the thermal and electrical conductivities of metals, 1853.

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PAPER 2:

A Materials-Physics Translation of Equilibrium-First Computation:

Graphene as an Experimental Exhibit for AO-Native Hardware

DOI: To Be Assigned

John Swygert

January 23, 2026

ABSTRACT

The Swygert Theory of Everything AO (TSTOEAO) proposes equilibrium-first computation as a governing principle of physical systems and hardware architectures. While the AO Chip — Foundational Hardware Corpus defines this framework abstractly using substrate constraint (𝟘̲), encoded equilibrium (Y), opportunity (E), and resolved value (V = E × Y), adoption by the materials and condensed-matter communities requires a direct translation into experimentally measurable language.

This paper provides that translation. Using recent experimental observations of hydrodynamic electron flow in ultraclean graphene at the Dirac point, the AO computational primitives are mapped directly onto known material behaviors: collective interaction regimes, geometry-governed transport, dissipation suppression, clockless propagation, and container-dependent law validity. The result is a rigorous materials-physics framing of AO-native hardware that requires no metaphysical assumptions and is immediately legible to experimentalists and device engineers.

1. PURPOSE AND SCOPE

This paper does not introduce new AO theory.
It translates existing AO hardware claims into the established vocabulary of condensed matter physics.

The goal is precision:

• one AO primitive → one physical behavior
• no symbolic analogy
• no interpretive overlay

Graphene at the Dirac point is used as an experimental exhibit, not as a dependency.

2. SUBSTRATE (𝟘̲) AS A PHYSICAL CONSTRAINT REGIME

In AO hardware, the substrate (𝟘̲) is defined as a constraint layer that:

• carries no active energy
• enforces what configurations cannot exist
• establishes the baseline upon which computation occurs

In ultraclean graphene, the Dirac point functions as a physical realization of this principle:

• the electronic density of states collapses
• classical quasiparticle descriptions fail
• only collective, symmetry-allowed modes persist

This establishes 𝟘̲ not as “nothingness” in a philosophical sense, but as a critical constraint regime in materials physics.

3. ENCODED EQUILIBRIUM (Y) AS INTERACTION-DOMINATED TRANSPORT

Encoded equilibrium (Y) defines which configurations remain stable under opportunity.

In graphene’s hydrodynamic regime:

• electron–electron scattering dominates
• momentum is conserved collectively
• impurity and lattice scattering are suppressed
• stability arises from interaction symmetry, not control

This corresponds directly to Y as a rule-set imposed by equilibrium, not by external logic.

4. OPPORTUNITY (E) AS APPLIED POTENTIAL, NOT COMPUTATION

AO distinguishes opportunity from computation.

In materials terms, opportunity appears as:

• voltage bias
• thermal gradient
• magnetic or electric fields
• carrier injection

Graphene demonstrates that these inputs do not determine outcomes directly. They merely probe the equilibrium container. Computation occurs only when equilibrium permits resolution.

5. RESOLVED VALUE (V = E × Y) AS STABLE TRANSPORT STATE

Resolved value (V) is the observable, repeatable output of equilibrium filtering.

In graphene:

• electrical current stabilizes independently of heat flow
• transport magnitudes are bounded by collective equilibrium
• dissipation is minimized
• outputs depend on geometry and boundary conditions

This replaces binary logic with state resolution as the fundamental computational outcome.

6. CONTAINERS AS GEOMETRY AND BOUNDARIES

AO containers define identity and memory via boundary integrity.

In graphene:

• channel width regulates flow
• curvature alters stability
• constrictions act as regulators
• cavities store collective modes

This demonstrates that geometry itself performs computation, eliminating the need for Boolean gates.

7. LAW VALIDITY AS A FUNCTION OF EQUILIBRIUM CONTAINERS

The Wiedemann–Franz law assumes:

• quasiparticle transport
• weak interactions
• co-propagation of heat and charge

At the Dirac point, these assumptions fail, and the law breaks down by orders of magnitude.

AO predicts this behavior explicitly:

physical laws hold only within their valid equilibrium containers.

The graphene experiment provides direct experimental confirmation of this principle.

8. CLOCKLESS, PROPAGATION-DRIVEN UPDATES

AO hardware rejects global clocks.

Graphene exhibits:

• no periodic timing
• reactive propagation
• updates triggered only by instability
• no idle cycles

This establishes self-timed computation as a material property rather than an architectural hack.

9. IMPLICATIONS FOR AO-NATIVE HARDWARE

The graphene system demonstrates that:

• equilibrium-first computation exists physically
• dissipation is optional
• geometry computes
• signal and heat can decouple
• clocks are emergent

AO-native hardware generalizes these principles beyond graphene into scalable silicon, metamaterial, photonic, and hybrid systems.

Graphene is not the AO chip — it is proof that AO hardware is physically realizable.

CONCLUSION

This paper establishes a one-to-one correspondence between AO hardware primitives and experimentally observed material behavior. The relationship is structural, not interpretive.

Equilibrium-first computation is already present in condensed matter physics. AO hardware provides the architectural language required to build it intentionally.

REFERENCES

1. Swygert, J. The Swygert Theory of Everything AO (TSTOEAO): AO Chip — Foundational Hardware Corpus, November 20, 2025.
2. Swygert, J. V1 – Experimental Verification of Equilibrium-First Computation via Dirac-Point Graphene, January 23, 2026.
3. “Universality in quantum critical flow of charge and heat in ultraclean graphene.” Nature Physics, August 13, 2025.
4. Wiedemann, G., Franz, R. On the thermal and electrical conductivities of metals, 1853.

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PAPER 3:

An Experimental Roadmap for Equilibrium-First Computing Systems

DOI: To Be Assigned

John Swygert

January 23, 2026

ABSTRACT

Equilibrium-first computation proposes that stable physical states emerge through constraint, interaction, and geometry rather than through dissipative, clock-driven logic. While recent experimental results in Dirac-point graphene demonstrate that equilibrium-first regimes already exist in nature, the next step is deliberate validation through buildable experiments.

This paper presents a concrete experimental roadmap for equilibrium-first computing systems. The roadmap defines a sequence of realizable laboratory experiments—beginning with condensed-matter testbeds and extending to silicon metamaterial structures—that isolate and verify core equilibrium-first principles: container-dependent law validity, geometry-based computation, dissipation decoupling, and clockless propagation. Each experiment is designed to be modular, falsifiable, and reproducible using existing fabrication and measurement techniques. The objective is not to build a finished processor, but to validate equilibrium-first computation as a distinct and experimentally accessible computational paradigm.

1. PURPOSE AND PHILOSOPHY OF THE ROADMAP

This roadmap is intentionally incremental and conservative.

It does not require:

• new physics
• exotic materials
• speculative instrumentation
• quantum supremacy claims

Instead, it focuses on isolating equilibrium-first behaviors already known to occur, then demonstrating their controllability and generality across materials and geometries.

Each experiment answers a single question:

Does equilibrium, rather than algorithmic control, determine the resolved computational state?

2. CORE EXPERIMENTAL CLAIMS TO BE TESTED

The roadmap validates five core claims:

1. Physical laws are container-valid, not universal
2. Geometry can function as a computational primitive
3. Heat and signal propagation can decouple
4. Computation can occur without a global clock
5. Stable outputs emerge as resolved states, not binary decisions

Each claim corresponds to one or more experiments below.

3. EXPERIMENT I – CONTAINER-DEPENDENT LAW BREAKDOWN

Objective

Demonstrate that transport laws fail when equilibrium containers change.

Setup

• Use a material system near a known critical regime (graphene, correlated oxides, or 2D electron gases).
• Measure transport behavior under controlled geometry changes.

Measurement

• Electrical conductivity
• Thermal conductivity
• Response to boundary modification

Expected Outcome

Transport laws hold in one container regime and fail in another without altering material composition, demonstrating container-valid law behavior.

Falsifiability

If transport laws remain invariant under container changes, the equilibrium-first claim fails.

4. EXPERIMENT II – GEOMETRY AS COMPUTATION

Objective

Demonstrate that geometry alone determines resolved outcomes.

Setup

• Fabricate channels with varying width, curvature, and boundary roughness.
• Apply identical external potentials.

Measurement

• Flow stability
• Signal distribution
• Noise sensitivity

Expected Outcome

Distinct, repeatable outputs emerge solely from geometric differences.

Significance

This establishes geometry as a computational element, replacing logic gates.

5. EXPERIMENT III – HEAT–SIGNAL DECOUPLING

Objective

Demonstrate that signal propagation does not require proportional thermal dissipation.

Setup

• Drive electrical or photonic signals through equilibrium-dominated regimes.
• Simultaneously measure heat flow.

Measurement

• Signal amplitude and coherence
• Local temperature gradients
• Dissipation rates

Expected Outcome

Signal integrity persists even when heat flow is suppressed or redirected.

Falsifiability

If signal quality strictly tracks dissipation, equilibrium-first computation is invalid.

6. EXPERIMENT IV – CLOCKLESS PROPAGATION

Objective

Demonstrate computation without periodic timing.

Setup

• Remove global clocks.
• Trigger propagation only through equilibrium imbalance.

Measurement

• Response latency
• Update timing variability
• Stability of resolved states

Expected Outcome

Updates occur only when required, with no idle cycles or global synchronization.

Significance

This validates propagation-driven computation rather than clock-driven sequencing.

7. EXPERIMENT V – SILICON METAMATERIAL VALIDATION

Objective

Extend equilibrium-first behavior into silicon-based systems.

Setup

• Fabricate silicon metamaterial lattices with embedded constraint geometries.
• Introduce controlled opportunity inputs (voltage, optical, thermal).

Measurement

• Stability of resolved states
• Sensitivity to geometry
• Dissipation scaling

Expected Outcome

Silicon structures exhibit equilibrium-determined outputs independent of algorithmic control.

Importance

This experiment bridges equilibrium-first computation with industrial fabrication.

8. INTEGRATION AND SCALING

The roadmap is intentionally modular:

• Each experiment stands alone
• Results compound naturally
• Negative results are informative

Success does not require all experiments to succeed simultaneously. Even partial validation establishes equilibrium-first computation as a legitimate design axis.

9. IMPLICATIONS

If validated, equilibrium-first systems offer:

• lower dissipation
• intrinsic noise resistance
• geometry-based programmability
• clockless operation
• new classes of analog and hybrid computation

These systems do not replace classical or quantum computers; they occupy a previously unexploited regime.

CONCLUSION

This roadmap defines a practical path from observed equilibrium-dominated physics to intentional equilibrium-first computing systems. The experiments require no speculative assumptions and rely exclusively on measurable, falsifiable outcomes.

Equilibrium-first computation is not a future technology—it is a present physical regime awaiting systematic validation.

REFERENCES

1. Swygert, J. The Swygert Theory of Everything AO (TSTOEAO): AO Chip — Foundational Hardware Corpus, November 20, 2025.
2. Swygert, J. V1 – Experimental Verification of Equilibrium-First Computation via Dirac-Point Graphene, January 23, 2026.
3. “Universality in quantum critical flow of charge and heat in ultraclean graphene.” Nature Physics, August 13, 2025.

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Booklet Conclusion

Taken together, the papers in this booklet demonstrate that equilibrium-first computation is not hypothetical, philosophical, or future-facing—it is already present in experimentally accessible physical regimes. Independent observations in graphene confirm that computation can arise from constraint, interaction, and geometry rather than from clock-driven, dissipative logic.

By translating AO primitives into standard materials-physics language and defining explicit experimental tests, this booklet moves equilibrium-first computation into the domain of falsifiable science. Success or failure of the proposed experiments will refine the framework; either outcome advances understanding.

This booklet therefore marks the transition of equilibrium-first computation from theoretical architecture to experimentally grounded paradigm, establishing a foundation for future hardware, materials research, and computational design.