The declared one-based ten-part address maps both 2/3 and 1/φ to B7, while 1/φ² lies in B4. Y-Theory then declares the shared expansion-facing address as recursive depth under its continuity premises.
Y TheoryThe Compass of RealityY-Theory · depth architecture
Seven is the expansion-facing recursive depth in the declared Y metric
The ten-band address, inherited golden limit, recoverable relation, and recursive self-similarity jointly place the turning address at seven.
Exact question
Why does current Y-Theory use seven depths rather than an invented simulator count?
Declared relation
a(q):=min(10,1+⌊10q⌋); D:=a(1/φ)=a(2/3)=7; L₁,ₖ→…→L₇,ₖ→L′₁,ₖNative mechanism → Y relation
Preserve the carrier before translating the structure.
The mapping is auditable only when both descriptions remain visible. Y language does not overwrite the equation, mechanism, units, boundary conditions, or uncertainty of the field being studied.
Adjacent inheritance supplies the golden-facing relation; recoverability carries consequential relation; recursive self-similarity reuses the address across active dimensions; L7 returns as changed L1′.
Calibration and withheld return
The answer must not help write the question.
Calibration establishes measurement and allowed parameters. The held-out test remains unseen until the identity rule, model, uncertainty, rivals, scoring, and failure threshold are frozen.
- Hold the normalized ten-band address rule, positive adjacent inheritance, recoverability rule, explicit D bridge, and recursive-self-similarity premise fixed.
- Keep depth count seven distinct from the 3+9=12 address cell nested within each depth.
- Recompute every band membership and derivation edge from the declared premises.
- Treat an external seven-depth referent as a separate proposition with native variables, rivals, and held-out evidence.
Rivals · failure · present state
A claim becomes informative where it can lose.
No visual resemblance, repeated phrase, source density, or author confidence substitutes for a discriminating return.
- Another simulator layer count
- Band membership without the D bridge
- Seven chronological oscillations
- A primitive-cardinality argument
The internal derivation fails if any required premise or derivation edge is removed, contradicted, or applied inconsistently. An external seven-layer claim fails independently when its target-specific test fails.
The current premise-qualified internal Y-Theory depth derivation is complete.
This does not claim that decimal notation causes reality or that every physical, biological, cognitive, or cosmological system has seven measured layers.
Recoverable lineage