The console and charts return as a coherent visual system. Explore interactive relationships, inspect exact values, and browse the complete figure collection from the public publication shelf.
The Δ1 SEED, BLOOM, and ROOT floors. These are design parameters, not thresholds derived from physical laws.
| Series | Tier | Γ floor |
|---|---|---|
| Coherence floor | SEED | 0.7 |
| Coherence floor | BLOOM | 0.819 |
| Coherence floor | ROOT | 0.95 |
A structural allocation of signing authority, not a survey of participants. AI assistance does not confer independent origination.
| Series | Authority | Relative share |
|---|---|---|
| Signing authority | Human Agency | 1 |
| Signing authority | AI instrument | 0 |
| Signing authority | Automation | 0 |
The original phase-allocation example, retained as illustrative percentages. Δ1 does not prescribe these proportions.
| Series | Phase | Illustrative % |
|---|---|---|
| Elapsed time | Intention | 5 |
| Elapsed time | Work | 75 |
| Elapsed time | Record | 20 |
| Effort | Intention | 2 |
| Effort | Work | 90 |
| Effort | Record | 8 |
An equation-threshold illustration. Meeting the coherence floor alone does not establish that all Five Guardian Gates have passed.
| Series | Γ input | Floor met: 1 / not met: 0 |
|---|---|---|
| Threshold outcome | 0.4 | 0 |
| Threshold outcome | 0.55 | 0 |
| Threshold outcome | 0.7 | 1 |
| Threshold outcome | 0.82 | 1 |
| Threshold outcome | 0.95 | 1 |
The old two-clock example, clearly labelled as a scenario: sequence advances every step; the illustrative proof count advances only on qualifying work.
| Series | Scenario step | Counter |
|---|---|---|
| Sequence | 1 | 1 |
| Sequence | 2 | 2 |
| Sequence | 3 | 3 |
| Sequence | 4 | 4 |
| Sequence | 5 | 5 |
| Sequence | 6 | 6 |
| Sequence | 7 | 7 |
| Sequence | 8 | 8 |
| Illustrative proof count | 1 | 0 |
| Illustrative proof count | 2 | 0 |
| Illustrative proof count | 3 | 1 |
| Illustrative proof count | 4 | 1 |
| Illustrative proof count | 5 | 1 |
| Illustrative proof count | 6 | 2 |
| Illustrative proof count | 7 | 2 |
| Illustrative proof count | 8 | 3 |
Original website example scores, preserved for comparison - not benchmarks, measurements, or confirmed performance claims.
| Series | Illustrated property | Legacy example score |
|---|---|---|
| Illustration only | Causal links | 95 |
| Illustration only | Immutability | 100 |
| Illustration only | Query speed | 85 |
| Illustration only | Replay proof | 100 |
| Illustration only | Non-linear | 90 |
The legacy conceptual weight diagram. It illustrates the separation of coherence measurement from token balances; it is not observed consensus telemetry.
| Series | Basis | Illustrative relative weight |
|---|---|---|
| Conceptual allocation | Coherence | 1 |
| Conceptual allocation | Token voting | 0 |
| Conceptual allocation | Majority rule | 0 |
A retained demonstration dataset - not current system health. “Deficit” is used instead of labelling the arbitrary example score as physical entropy.
| Series | Scenario metric | Illustrative score |
|---|---|---|
| Example value | 1 | 12 |
| Example value | 2 | 5 |
| Example value | 3 | 3 |
| Example value | 4 | 94 |
| Example comparison | 1 | 30 |
| Example comparison | 2 | 20 |
| Example comparison | 3 | 25 |
| Example comparison | 4 | 70 |
The original illustrative series in arbitrary units. Not market data, a forecast, or a claim of investment performance.
| Series | Illustrative step | Arbitrary units |
|---|---|---|
| Transactional illustration | 0 | 10 |
| Transactional illustration | 1 | 25 |
| Transactional illustration | 2 | 80 |
| Transactional illustration | 3 | 150 |
| Transactional illustration | 4 | 95 |
| Transactional illustration | 5 | 200 |
| Transactional illustration | 6 | 110 |
| Transactional illustration | 7 | 90 |
The original stepwise illustration of an accumulating record. Values are illustrative, not FLUX prices or measured ctu.
| Series | Illustrative step | Arbitrary units |
|---|---|---|
| Record illustration | 0 | 0 |
| Record illustration | 1 | 0 |
| Record illustration | 2 | 30 |
| Record illustration | 3 | 30 |
| Record illustration | 4 | 30 |
| Record illustration | 5 | 65 |
| Record illustration | 6 | 65 |
| Record illustration | 7 | 92 |
The stated per-cycle ratio FLUX = 100Γ, shown only at and above the coherence floor. No minting or settlement takes place.
| Series | Γ | Symbolic FLUX units |
|---|---|---|
| 100Γ | 0.7 | 70 |
| 100Γ | 0.75 | 75 |
| 100Γ | 0.8 | 80 |
| 100Γ | 0.819 | 81.87 |
| 100Γ | 0.85 | 85 |
| 100Γ | 0.9 | 90 |
| 100Γ | 0.95 | 95 |
| 100Γ | 1 | 100 |
Δdef = 1 minus Γ. This dimensionless complement is not thermodynamic entropy or Shannon entropy.
| Series | Γ | Dimensionless |
|---|---|---|
| Coherence | 0 | 0 |
| Coherence | 0.1 | 0.1 |
| Coherence | 0.2 | 0.2 |
| Coherence | 0.3 | 0.3 |
| Coherence | 0.4 | 0.4 |
| Coherence | 0.5 | 0.5 |
| Coherence | 0.6 | 0.6 |
| Coherence | 0.7 | 0.7 |
| Coherence | 0.8 | 0.8 |
| Coherence | 0.9 | 0.9 |
| Coherence | 1 | 1 |
| Coherence deficit | 0 | 1 |
| Coherence deficit | 0.1 | 0.9 |
| Coherence deficit | 0.2 | 0.8 |
| Coherence deficit | 0.3 | 0.7 |
| Coherence deficit | 0.4 | 0.6 |
| Coherence deficit | 0.5 | 0.5 |
| Coherence deficit | 0.6 | 0.4 |
| Coherence deficit | 0.7 | 0.3 |
| Coherence deficit | 0.8 | 0.2 |
| Coherence deficit | 0.9 | 0.1 |
| Coherence deficit | 1 | 0 |
A demonstration series crossing the three stipulated boundaries. It is not a record of real Human Agencies or protocol seals.
| Series | Sample | Γ |
|---|---|---|
| Scenario coherence | 1 | 0.42 |
| Scenario coherence | 2 | 0.58 |
| Scenario coherence | 3 | 0.64 |
| Scenario coherence | 4 | 0.72 |
| Scenario coherence | 5 | 0.79 |
| Scenario coherence | 6 | 0.83 |
| Scenario coherence | 7 | 0.86 |
| Scenario coherence | 8 | 0.91 |
| Scenario coherence | 9 | 0.96 |
Equation-only sensitivity with E = V = A = 1 and λreg = 1. This does not run the complete reference engine.
| Series | τ | Γ |
|---|---|---|
| 1 / (1 + τ) | 0 | 1 |
| 1 / (1 + τ) | 0.1 | 0.909 |
| 1 / (1 + τ) | 0.2 | 0.833 |
| 1 / (1 + τ) | 0.3 | 0.769 |
| 1 / (1 + τ) | 0.4 | 0.714 |
| 1 / (1 + τ) | 0.5 | 0.667 |
| 1 / (1 + τ) | 0.6 | 0.625 |
| 1 / (1 + τ) | 0.7 | 0.588 |
| 1 / (1 + τ) | 0.8 | 0.556 |
| 1 / (1 + τ) | 0.9 | 0.526 |
| 1 / (1 + τ) | 1 | 0.5 |
| 1 / (1 + τ) | 1.1 | 0.476 |
| 1 / (1 + τ) | 1.2 | 0.455 |
| 1 / (1 + τ) | 1.3 | 0.435 |
| 1 / (1 + τ) | 1.4 | 0.417 |
| 1 / (1 + τ) | 1.5 | 0.4 |
| 1 / (1 + τ) | 1.6 | 0.385 |
| 1 / (1 + τ) | 1.7 | 0.37 |
| 1 / (1 + τ) | 1.8 | 0.357 |
| 1 / (1 + τ) | 1.9 | 0.345 |
| 1 / (1 + τ) | 2 | 0.333 |
η = 1 minus Tc/Th. This theoretical heat-engine relationship does not derive the protocol’s SEED floor.
| Series | Tc / Th | Theoretical efficiency η |
|---|---|---|
| Carnot relationship | 0 | 1 |
| Carnot relationship | 0.1 | 0.9 |
| Carnot relationship | 0.2 | 0.8 |
| Carnot relationship | 0.3 | 0.7 |
| Carnot relationship | 0.4 | 0.6 |
| Carnot relationship | 0.5 | 0.5 |
| Carnot relationship | 0.6 | 0.4 |
| Carnot relationship | 0.7 | 0.3 |
| Carnot relationship | 0.8 | 0.2 |
| Carnot relationship | 0.9 | 0.1 |
| Carnot relationship | 1 | 0 |
kBT ln 2 joules per erased bit as a function of temperature. This relationship does not derive the BLOOM value 0.8187.
| Series | Temperature (K) | Energy (J/bit) |
|---|---|---|
| kBT ln 2 | 250 | 2.39e-21 |
| kBT ln 2 | 270 | 2.58e-21 |
| kBT ln 2 | 290 | 2.78e-21 |
| kBT ln 2 | 310 | 2.97e-21 |
| kBT ln 2 | 330 | 3.16e-21 |
| kBT ln 2 | 350 | 3.35e-21 |
A normalised proportional illustration of the constant 8.987551787368176 × 10¹⁶ m²/s². No engine-to-relativity mechanism is implied.
| Series | Reference factor | Multiple of c² |
|---|---|---|
| Dimensional reference | 0 | 0 |
| Dimensional reference | 0.25 | 0.25 |
| Dimensional reference | 0.5 | 0.5 |
| Dimensional reference | 0.75 | 0.75 |
| Dimensional reference | 1 | 1 |
Ratios of consecutive Fibonacci numbers illustrate convergence. The protocol’s use of φ is a declared scale convention, not a physical necessity.
| Series | Ratio index | Ratio |
|---|---|---|
| Consecutive-number ratio | 1 | 1 |
| Consecutive-number ratio | 2 | 2 |
| Consecutive-number ratio | 3 | 1.5 |
| Consecutive-number ratio | 4 | 1.667 |
| Consecutive-number ratio | 5 | 1.6 |
| Consecutive-number ratio | 6 | 1.625 |
| Consecutive-number ratio | 7 | 1.615 |
| Consecutive-number ratio | 8 | 1.619 |
| Consecutive-number ratio | 9 | 1.618 |
| Consecutive-number ratio | 10 | 1.618 |
A geometric illustration with r = 1: x = θ minus sin θ; y = 1 minus cos θ. It is not a measurement output or a Γ derivation.
| Series | x / r | y / r |
|---|---|---|
| Cycloid | 0 | 0 |
| Cycloid | 0.001 | 0.012 |
| Cycloid | 0.005 | 0.049 |
| Cycloid | 0.017 | 0.109 |
| Cycloid | 0.041 | 0.191 |
| Cycloid | 0.078 | 0.293 |
| Cycloid | 0.134 | 0.412 |
| Cycloid | 0.209 | 0.546 |
| Cycloid | 0.306 | 0.691 |
| Cycloid | 0.426 | 0.844 |
| Cycloid | 0.571 | 1 |
| Cycloid | 0.74 | 1.156 |
| Cycloid | 0.934 | 1.309 |
| Cycloid | 1.151 | 1.454 |
| Cycloid | 1.39 | 1.588 |
| Cycloid | 1.649 | 1.707 |
| Cycloid | 1.926 | 1.809 |
| Cycloid | 2.216 | 1.891 |
| Cycloid | 2.518 | 1.951 |
| Cycloid | 2.828 | 1.988 |
| Cycloid | 3.142 | 2 |
| Cycloid | 3.455 | 1.988 |
| Cycloid | 3.765 | 1.951 |
| Cycloid | 4.067 | 1.891 |
| Cycloid | 4.358 | 1.809 |
| Cycloid | 4.634 | 1.707 |
| Cycloid | 4.893 | 1.588 |
| Cycloid | 5.132 | 1.454 |
| Cycloid | 5.349 | 1.309 |
| Cycloid | 5.543 | 1.156 |
| Cycloid | 5.712 | 1 |
| Cycloid | 5.857 | 0.844 |
| Cycloid | 5.978 | 0.691 |
| Cycloid | 6.075 | 0.546 |
| Cycloid | 6.15 | 0.412 |
| Cycloid | 6.205 | 0.293 |
| Cycloid | 6.243 | 0.191 |
| Cycloid | 6.266 | 0.109 |
| Cycloid | 6.278 | 0.049 |
| Cycloid | 6.283 | 0.012 |
| Cycloid | 6.283 | 0 |
Explore the canonical stations Δ0 to Δ8. Selecting a station illustrates the architecture; it does not advance an Agency.
Origin of potential
A nested view of Δ1’s stated encoding. This is a structural illustration, not a running governance process.
A direct view of three example inputs. Use the console to change them and inspect the resulting equation value.
Select an observable to inspect its axis.
Intention, work, coherence, and the resulting instrument output. T = ΔΣ₀Γ is the constructive axiom defining the instrument’s measurement relationship.
Canonical constants, mathematical illustrations, and retained legacy example datasets are labelled separately. No chart represents live service health, independent chain verification, market performance, or a claim that physical laws derive the protocol’s stipulated floors. Course completion and certification scores have not been restored.
