Pulse Core Lexicon

Logical Irreversibility

Definition

Logical Irreversibility is the principle that the primordial null state, once the first Pulse has occurred, is permanently out of reach: every later zero is a derived null, a logical placeholder, and never the original. The book uses it to explain why the universe cannot return to its primordial state. The first Pulse transforms the original null irreversibly; nulls that appear later, in null wells or after renewal, are derivative states, not the primordial one. The book attaches an entropy constraint: S(Universe) > S(∅) = 0 always. Together with Historical Uniqueness (the origin is a single, non-repeatable event) and Computational Inheritance (all later systems inherit the original recursive logic by branching from it), it gives the Zero Substrate its special status among all the null states the theory describes. The book writes ∅₀ ≠ ∅▷, where ∅₀ is the primordial null state [∅], ∅▷ any subsequent null state [∅], and ≠ marks the irreversible transformation that separates them. Logical Irreversibility connects to Logical Irreversibility Constraint, Historical Uniqueness, Original Zero, Zero Substrate, Quintuple Nullity and Computational Null State.

Mathematical Expression

From the book · Chapter 6 · Quintuple Nullity and the Null-Preserving Operation

∅₀ ≠ ∅▷

Where:

  • ∅₀ [∅] - primordial null state
  • ∅▷ [∅] - subsequent null state
  • ≠ [∅] - irreversible transformation indicator

Technical Details

Category Principle

Chapter Chapter 6

Importance

Related Terms