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The Principia Machina/Diagrams/08 Regime and contradiction tests: Difference between revisions

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Diagram layer page 08 Regime and contradiction tests, TPS 0.1.0
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* GENERATED FROM: static, TPS SR3, SR7, SR8
* GENERATED FROM: static, TPS SR3, SR7, SR8
* STATUS: hand-authored at TPS 0.1.0; superseded by TPX at its first build
* STATUS: hand-authored at TPS 0.1.0; superseded by TPX at its first build
* SOURCE SHA-256: <code>c026cf1db028e6f12253c42eeeda056e7c5b5576b867157e356f7052cd5471d7</code>
* SOURCE SHA-256: <code>81f2bef51d17b32597f10d20da32e289ae3b9cdaa2ec0bff0842e002f6b1ecda</code>
* KEY: [[The Principia Machina/Diagrams/Key for process diagrams|key for process diagrams]]: what each shape and arrow means
* KEY: [[The Principia Machina/Diagrams/Key for process diagrams|key for process diagrams]]: what each shape and arrow means; [[The Principia Machina/Diagrams/Terms|definition of terms]]; [[The Principia Machina/TPS 0.1.0/Contents|contents of the specification]]


Rendered live from the source below, which is the text equivalent; if rendering is unavailable the source still stands.
Rendered live from the source below, which is the text equivalent; if rendering is unavailable the source still stands.
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%% 08 Regime and contradiction tests. process/Mermaid decision. Generated from: static, TPS SR3, SR7, SR8.
%% 08 Regime and contradiction tests. process/Mermaid decision. Generated from: static, TPS SR3, SR7, SR8.
flowchart TD
flowchart TD
   A[record at allocation 3.2.4] --> B[REGIME L: verifiable by re-derivation, no empirical input]
   A[record at allocation<br/>3.2.4] --> B[REGIME L: verifiable by<br/>re-derivation, no empirical input]
   A --> C[REGIME M: value with combined standard uncertainty u_c per GUM]
   A --> C[REGIME M: value with combined<br/>standard uncertainty u_c per GUM]
   B --> LL[L-L test: conjunction with the TFK derives a contradiction]
   B --> LL[L-L test: conjunction with<br/>the TFK derives a contradiction]
   C --> S8[SR8: with N of 2 or more standing M records and chi-square over N minus 1 above 1, apply the scale factor S first]
   C --> S8[SR8: with two or more standing<br/>M records of one quantity and<br/>reduced chi-square above 1,<br/>apply the scale factor S first]
   S8 --> MM[M-M test: difference above k times the root of u1 squared plus u2 squared]
   S8 --> MM[M-M test: difference above<br/>k times the combined uncertainty]
   C --> LM[L-M test: the M value fails the M-M test against the L record's derived value]
   C --> LM[L-M test: the M value fails the<br/>M-M test against the L record's<br/>derived value]
   LM --> S7[SR7: never strikes the L derivation; named gap, or DOMAIN finding when a of r is 0]
   LM --> S7[SR7: never strikes the L<br/>derivation; named gap, or DOMAIN<br/>finding when a of r is 0]
   MM -- survives S --> CONTRA[contradiction]
   MM -- survives S --> CONTRA[(contradiction)]
   MM -- does not survive S --> NONE[not a contradiction]
   MM -- does not survive S --> NONE[(not a contradiction)]
}}
 
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  classDef data fill:#fef6e7,stroke:#ac6600,color:#202122
  classDef bad fill:#fee7e6,stroke:#d33,color:#202122
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  class A,B,C,LL,S8,MM,LM,S7 task
  class CONTRA bad
  class NONE good
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== Text equivalent ==
== Text equivalent ==

Revision as of 20:15, 17 September 2026

Structural diagram 8 of 12. Part of the TPM hub.

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Text equivalent

Each record is assigned one regime at allocation (3.2.4): L, verifiable by re-derivation with no empirical input, or M, carrying a value with u_c per the GUM. L-L contradiction is derivation of a contradiction with the TFK. For M records, SR8 first applies the scale factor S when two or more standing M records of one quantity give a reduced chi-square above 1; the M-M test then compares the difference with k times the combined uncertainty. L-M applies the M-M test against the L record's derived value, and SR7 governs the outcome. A contradiction that does not survive S is not a contradiction (SR3, SR7, SR8).