TauLib · API Book VI

TauLib.BookVI.Sectors.Hallmarks

TauLib.BookVI.Sectors.Hallmarks

Seven hallmarks of life derived from Distinction + SelfDesc.

Registry Cross-References

  • [VI.T08–T14] Seven hallmarks — organization through evolution

  • [VI.P08] Thermodynamic Inevitability — thermodynamic_inevitability

Ground Truth Sources

  • Book VI Chapter 9 (2nd Edition): Seven Hallmarks

Tau.BookVI.Hallmarks.Hallmark

source structure Tau.BookVI.Hallmarks.Hallmark :Type

  • classical : String
  • formal : String Instances For

Tau.BookVI.Hallmarks.instReprHallmark

source instance Tau.BookVI.Hallmarks.instReprHallmark :Repr Hallmark

Equations

  • Tau.BookVI.Hallmarks.instReprHallmark = { reprPrec := Tau.BookVI.Hallmarks.instReprHallmark.repr }

Tau.BookVI.Hallmarks.instReprHallmark.repr

source def Tau.BookVI.Hallmarks.instReprHallmark.repr :Hallmark → ℕ → Std.Format

Equations

  • One or more equations did not get rendered due to their size. Instances For

Tau.BookVI.Hallmarks.organization

source def Tau.BookVI.Hallmarks.organization :Hallmark

[VI.T08] Organization = Distinction Structure. Equations

  • Tau.BookVI.Hallmarks.organization = { classical := “organization”, formal := “distinction-structure” } Instances For

Tau.BookVI.Hallmarks.metabolism

source def Tau.BookVI.Hallmarks.metabolism :Hallmark

[VI.T09] Metabolism = Life Loop Class. Equations

  • Tau.BookVI.Hallmarks.metabolism = { classical := “metabolism”, formal := “life-loop-class” } Instances For

Tau.BookVI.Hallmarks.homeostasis

source def Tau.BookVI.Hallmarks.homeostasis :Hallmark

[VI.T10] Homeostasis = Basin Stability. Equations

  • Tau.BookVI.Hallmarks.homeostasis = { classical := “homeostasis”, formal := “basin-stability” } Instances For

Tau.BookVI.Hallmarks.growth

source def Tau.BookVI.Hallmarks.growth :Hallmark

[VI.T11] Growth = Carrier Refinement. Equations

  • Tau.BookVI.Hallmarks.growth = { classical := “growth”, formal := “carrier-refinement” } Instances For

Tau.BookVI.Hallmarks.reproduction

source def Tau.BookVI.Hallmarks.reproduction :Hallmark

[VI.T12] Reproduction = Blueprint Propagation. Equations

  • Tau.BookVI.Hallmarks.reproduction = { classical := “reproduction”, formal := “blueprint-propagation” } Instances For

Tau.BookVI.Hallmarks.response

source def Tau.BookVI.Hallmarks.response :Hallmark

[VI.T13] Response = SelfDesc Adjustment. Equations

  • Tau.BookVI.Hallmarks.response = { classical := “response”, formal := “selfdesc-adjustment” } Instances For

Tau.BookVI.Hallmarks.evolution

source def Tau.BookVI.Hallmarks.evolution :Hallmark

[VI.T14] Evolution = PPAS Optimization. Equations

  • Tau.BookVI.Hallmarks.evolution = { classical := “evolution”, formal := “ppas-optimization” } Instances For

Tau.BookVI.Hallmarks.all_hallmarks

source def Tau.BookVI.Hallmarks.all_hallmarks :List Hallmark

Equations

  • One or more equations did not get rendered due to their size. Instances For

Tau.BookVI.Hallmarks.hallmark_count

source theorem Tau.BookVI.Hallmarks.hallmark_count :all_hallmarks.length = 7


Tau.BookVI.Hallmarks.ThermodynamicInevitability

source structure Tau.BookVI.Hallmarks.ThermodynamicInevitability :Type

[VI.P08] Thermodynamic inevitability (conjectural).

  • is_attractor : Bool
  • positive_measure : Bool
  • scope : String Instances For

Tau.BookVI.Hallmarks.instReprThermodynamicInevitability.repr

source def Tau.BookVI.Hallmarks.instReprThermodynamicInevitability.repr :ThermodynamicInevitability → ℕ → Std.Format

Equations

  • One or more equations did not get rendered due to their size. Instances For

Tau.BookVI.Hallmarks.instReprThermodynamicInevitability

source instance Tau.BookVI.Hallmarks.instReprThermodynamicInevitability :Repr ThermodynamicInevitability

Equations

  • Tau.BookVI.Hallmarks.instReprThermodynamicInevitability = { reprPrec := Tau.BookVI.Hallmarks.instReprThermodynamicInevitability.repr }

Tau.BookVI.Hallmarks.thermo_inev

source def Tau.BookVI.Hallmarks.thermo_inev :ThermodynamicInevitability

Equations

  • Tau.BookVI.Hallmarks.thermo_inev = { } Instances For

Tau.BookVI.Hallmarks.thermodynamic_inevitability

source theorem Tau.BookVI.Hallmarks.thermodynamic_inevitability :thermo_inev.is_attractor = true ∧ thermo_inev.scope = “conjectural”