Level 000, Level 100, Level 200, And Fractal Echo Mathematics (FEM) As A Scalable Classification System
DOI: To be assigned
John Swygert
May 14, 2026
Abstract
The Swygert Theory of Everything AO (TSTOEAO) interprets the observable universe not as three unrelated categories of cosmic substance, but as a layered expression of energy/opportunity passing through different degrees of equilibrium, compaction, visibility, and realized value. This paper introduces an open phase-classification grammar for that structure: Level 000 Expressed Energy, corresponding to the largest and most diffuse equilibrium-dominant phase; Level 100 Expressed Energy, corresponding to invisible structure-building matter-like clustering; and Level 200 Expressed Energy, corresponding to visible baryonic matter, chemical activity, luminosity, and observer-capable realization.
This classification is designed to remain expandable. Future levels, such as Level 300, Level 400, and beyond, may be added if deeper structural, biological, cognitive, or cosmological phases require finer subdivision. Fractal Echo Mathematics (FEM) supplies the proposed recursive ruler between levels by describing how visible baryonic matter may arise through golden-ratio echo subdivision of the larger matter/opportunity component. This paper therefore formalizes a scalable TSTOEAO phase language that connects dark energy, dark matter, and baryonic matter into one coherent progression rather than three disconnected mysteries.
1. Introduction
Standard cosmology usually describes the universe through three broad components: dark energy, dark matter, and ordinary baryonic matter. These categories are observationally useful, but they can also make the universe appear divided into unrelated substances: one component that accelerates expansion, one component that clusters gravitationally but remains invisible, and one component that shines, forms chemistry, and becomes directly observable.
TSTOEAO proposes a different interpretation.
The universe may be understood as energy/opportunity passing through phases of expression. These phases are not merely separate contents in a cosmic inventory. They are degrees of manifestation within a larger equilibrium-governed structure.
The purpose of this paper is to introduce a naming and numbering system for those phases.
The system must satisfy four requirements.
First, it must align with observed cosmological composition.
Second, it must remain consistent with the TSTOEAO pipeline:
𝟘̲ → Y → E → V
Third, it must be open-ended, so future levels can be added without forcing the theory into a closed three-part model.
Fourth, it must connect naturally with Fractal Echo Mathematics, which proposes that visible baryonic matter may arise as a recursive golden-ratio echo of the larger matter/opportunity field.
The result is the following phase grammar:
Level 000 Expressed Energy
Diffuse equilibrium-dominant cosmic expression.
Level 100 Expressed Energy
Hidden structure-building cosmic expression.
Level 200 Expressed Energy
Visible baryonic, luminous, chemically active cosmic expression.
This numbering system is deliberately open. It does not claim finality. It gives TSTOEAO a scalable language for describing increasing degrees of compaction, visibility, accountability, and realized value.
2. Why A Phase Grammar Is Needed
The preceding TSTOEAO cosmology papers established three major moves.
First, the ΛCDM parameter field can be viewed through the TSTOEAO lens, transforming separate empirical quantities into a more coherent relational structure.
Second, ΛCDM parameters can be recategorized according to function: substrate-encoded invariants, Y-equilibrium directive parameters, E/opportunity densities, realized V outputs, and dyadic manifold balance.
Third, Fractal Echo Mathematics proposes that visible baryonic matter may be understood as a fourth-order golden-ratio echo of the larger matter/opportunity component.
These moves create a need for cleaner terminology.
If dark energy, dark matter, and baryonic matter are not merely unrelated components, then TSTOEAO needs a way to name them according to their degree of expression.
The word phase is useful because it implies transformation without requiring complete separation. Water can appear as vapor, liquid, or ice while remaining water. Similarly, cosmic energy/opportunity may appear as diffuse expansion directive, hidden gravitational structure, or visible luminous matter while belonging to a deeper unified field of expression.
The proposed phase grammar does not erase scientific distinctions. It reframes them.
Dark energy remains observationally associated with accelerated expansion.
Dark matter remains observationally associated with gravitational structure.
Baryonic matter remains observationally associated with ordinary visible matter.
But within TSTOEAO, these become phase-roles within a larger process.
3. Level 000 Expressed Energy
Approximate cosmological fraction: 68.5%
Standard label: dark energy
TSTOEAO phase label: Level 000 Expressed Energy
Primary role: diffuse equilibrium directive / large-scale expansion balance
Level 000 Expressed Energy is the largest and most diffuse known phase of cosmic expression. It corresponds to the component standard cosmology calls dark energy.
The term Level 000 is used because this phase is maximally diffuse from the perspective of visible structure. It does not clump into stars, planets, chemistry, or directly observable material bodies. It is expressed cosmologically through large-scale expansion behavior rather than through luminous matter.
This phase should not be described as “nothing” in the ordinary sense. Nor should it be described as entirely unexpressed. It is expressed, but its expression is diffuse, field-like, and large-scale rather than compact, localized, or visible.
In TSTOEAO, Level 000 is associated with the Y-dominant side of cosmic equilibrium. It represents the large-scale directive that prevents the universe from collapsing entirely into structure and allows expansion, openness, and dyadic balance.
It is not the absence of expression.
It is expression before local compaction.
4. Level 100 Expressed Energy
Approximate cosmological fraction: 26–27%
Standard label: cold dark matter
TSTOEAO phase label: Level 100 Expressed Energy
Primary role: hidden gravitational structure / E-fractal clustering
Level 100 Expressed Energy corresponds to the hidden structure-building phase usually associated with cold dark matter.
This phase is more compact and localized than Level 000, but it remains largely invisible. It participates gravitationally. It helps build cosmic scaffolding. It shapes galaxy formation, clustering, lensing behavior, and large-scale structure. Yet it does not shine in the ordinary baryonic sense.
In TSTOEAO, Level 100 belongs to the E/opportunity side of the cosmic equation. It is matter-like structure potential, but not yet luminous, chemical, or observer-capable in the ordinary sense.
It is therefore “expressed” more strongly than Level 000, but it remains hidden.
Level 100 is the universe beginning to gather.
It is the clustering phase.
It is the gravitational skeleton.
It is the hidden architecture through which visible matter can later become organized.
5. Level 200 Expressed Energy
Approximate cosmological fraction: 5%
Standard label: baryonic or ordinary matter
TSTOEAO phase label: Level 200 Expressed Energy
Primary role: visible luminous matter / chemical and observer-capable realization
Level 200 Expressed Energy corresponds to ordinary baryonic matter.
This is the phase that becomes directly visible and chemically active. It forms gas, dust, stars, planets, atmospheres, oceans, minerals, cells, nervous systems, instruments, and observers. It is the portion of the universe through which luminosity, chemistry, biology, and conscious measurement become possible.
In TSTOEAO, Level 200 represents a major threshold. It is not simply “less matter” than dark matter. It is matter that has crossed into visibility and accountability.
It can shine.
It can bond.
It can form bodies.
It can support life.
It can produce observers capable of measuring the universe that produced them.
Level 200 is therefore the luminous threshold of E. It is the point at which hidden structure becomes available to experience.
6. Fractal Echo Mathematics As The Increment Ruler
The numbering system becomes more powerful when paired with Fractal Echo Mathematics.
FEM proposes that certain visible structures arise through recursive subdivision of a parent quantity by the golden-ratio complement:
1/φ ≈ 0.618034
where:
φ = (1 + √5) / 2 ≈ 1.618034
The general echo relation is:
Echoₙ = Q × (1/φ)ⁿ
For visible baryonic matter, the parent quantity is the total matter/opportunity component:
Q = Ω_m ≈ 0.3153
Applying four recursive echo steps yields:
Ω_m × (1/φ)⁴ ≈ 0.0460
This value lies near the observed baryonic matter fraction of the universe, commonly given at approximately 4.9% to 5.0%.
This does not yet prove the phase model. But it gives TSTOEAO a mathematically suggestive ruler. It allows Level 200 visible matter to be described not merely as a separate percentage, but as a proposed FEM-depth expression:
Level 200 Expressed Energy — FEM-4
This means visible baryonic matter may represent the fourth recursive echo depth of the larger matter/opportunity field.
7. Why The Numbering System Is Open
The numbering system is deliberately not closed.
Level 000, Level 100, and Level 200 describe the three major cosmic phases currently being discussed in this framework. But TSTOEAO should not assume that these are the only possible phases of expression.
Future work may require additional levels.
For example:
Level 300 may be used for biological or metabolic organization.
Level 400 may be used for neural or conscious integration.
Level 500 may be used for symbolic, linguistic, technological, or civilizational expression.
These examples are not formal assignments yet. They simply show why the numbering system should remain expandable.
The key principle is this:
as energy/opportunity becomes more compact, organized, visible, accountable, and value-bearing, it may move into higher expression levels.
The system should therefore remain open enough to describe future discoveries without requiring the entire framework to be rewritten.
8. Why This Grammar Matters
A theory needs language that can scale.
Without a phase grammar, TSTOEAO risks repeatedly describing the same insight in different terms. With a phase grammar, the framework gains a cleaner classification system.
The phase grammar allows the theory to say:
Dark energy is not merely “mysterious stuff.” It is Level 000 diffuse equilibrium expression.
Dark matter is not merely “missing matter.” It is Level 100 hidden structure-building expression.
Baryonic matter is not merely “ordinary matter.” It is Level 200 luminous echo expression.
This language preserves scientific distinction while giving the categories a deeper relational meaning.
It also helps prevent premature closure. If future observations reveal deeper subdivisions of dark matter, dark energy behavior, baryonic complexity, biological organization, or conscious structure, the framework can add levels rather than collapse.
The numbering system is therefore both descriptive and strategic.
It creates room for growth.
9. Connection To The Observed Cosmic Percentages
The currently known broad cosmic composition can be expressed in TSTOEAO phase language as follows:
Level 000 Expressed Energy: approximately 68.5%
Standard interpretation: dark energy
TSTOEAO interpretation: diffuse Y-equilibrium expression
Level 100 Expressed Energy: approximately 26–27%
Standard interpretation: cold dark matter
TSTOEAO interpretation: hidden E-fractal clustering
Level 200 Expressed Energy: approximately 5%
Standard interpretation: baryonic matter
TSTOEAO interpretation: visible luminous echo of E, proposed FEM-4 depth
This reframing does not alter the empirical percentages. It reorganizes their meaning.
The measured universe becomes a phase structure:
diffuse equilibrium
hidden clustering
visible luminous echo
This is a cleaner story than three disconnected components.
It is also more consistent with TSTOEAO’s larger claim that value emerges through energy shaped by equilibrium.
10. Relation To V = E × Y
The phase model belongs directly to the central TSTOEAO relation:
V = E × Y
Level 000 corresponds most strongly to Y: large-scale equilibrium directive.
Level 100 corresponds to hidden E: structure-building opportunity.
Level 200 corresponds to E entering visible V-capability: the threshold where matter becomes luminous, chemical, biological, and eventually observer-capable.
The model therefore does not merely classify cosmic components. It describes the movement of cosmic expression toward realized value.
Energy/opportunity is not valuable simply because it exists. It becomes realized value when equilibrium permits coherent form.
The visible universe is where that coherence becomes available to sight, chemistry, life, and reflection.
11. Cautions And Limits
This paper introduces a classification grammar, not a completed proof.
Several cautions are necessary.
First, the terms Level 000, Level 100, and Level 200 should be treated as TSTOEAO phase labels, not replacements for standard cosmological terminology.
Second, the FEM-4 relation to baryonic matter is a proposed structural alignment, not yet a formally derived necessity.
Third, future work must define exactly how levels are assigned and why specific FEM depths correspond to specific phases.
Fourth, the phrase “one kind of energy” should be understood within TSTOEAO as a unifying interpretive principle, not as a claim that standard physics has already reduced all components to a single experimentally established substance.
Fifth, this system must remain testable. Its strength will depend on whether it can generate useful predictions, retrodictions, and classifications beyond the currently discussed percentages.
These cautions do not weaken the phase grammar. They protect it from overstatement.
12. Conclusion
The universe may be understood as energy/opportunity moving through phases of expression under equilibrium constraint.
In the TSTOEAO phase grammar, the three broad currently recognized cosmic phases are:
Level 000 Expressed Energy — diffuse Y-equilibrium expression, corresponding approximately to dark energy.
Level 100 Expressed Energy — hidden E-fractal clustering, corresponding approximately to cold dark matter.
Level 200 Expressed Energy — visible baryonic echo, corresponding approximately to ordinary matter and proposed as FEM-4.
This system does not claim final closure. It is deliberately open. Level 300, Level 400, and higher levels may be added if future work requires finer distinctions.
Fractal Echo Mathematics supplies a proposed recursive ruler for the transition from hidden matter/opportunity to visible luminous matter. Four golden-ratio echo steps applied to Ω_m yield a value near the baryonic fraction, suggesting that visible matter may be an echo-depth expression of the larger E-field.
The result is a cleaner cosmological grammar.
The universe is not merely a list of percentages.
It is a phase structure.
Diffuse equilibrium becomes hidden clustering.
Hidden clustering becomes visible echo.
Visible echo becomes stars, planets, chemistry, life, observation, and meaning.
The visible world is not separate from the hidden field.
It is the hidden field made available to sight — one golden-ratio echo at a time.
References
Planck Collaboration. Planck 2018 results. VI. Cosmological parameters. Astronomy & Astrophysics, 641, A6, 2020.
Swygert, John. TSTOEAO Re-Categorization Of ΛCDM Cosmological Parameters. 2026.
Swygert, John. The TSTOEAO Lens: Turning Cosmological Blurriness Into Conceptual Clarity. 2026.
Swygert, John. Fractal Echo Mathematics In TSTOEAO. 2026.
Swygert, John. The Swygert Theory of Everything AO corpus papers on substrate 𝟘̲, Equilibrium Directive Y, V = E × Y, Fractal Echo Mathematics, dyadic manifold balance, and golden-ratio cosmology.