empty_ledger_phase
plain-language theorem explainer
An empty ledger carries phase 1 under the quantum ledger phase map. Researchers deriving vacuum fluctuations or interference sums from ledger superpositions cite this as the base case. The term-mode proof reduces at once by simplification of the phase map and empty ledger definitions.
Claim. The phase assigned to the empty ledger configuration equals 1.
background
The Quantum Ledger module links Recognition Science ledgers to quantum states by treating the latter as superpositions over ledger configurations, with the Born rule emerging from J-cost minimization. An empty ledger holds no recognition events and therefore zero total cost. Ledger phase is taken from the eight-tick phases, multiples of π/4 that remain periodic with period 2π.
proof idea
The proof is a one-line term-mode simplification that unfolds the definitions of the phase map and the empty ledger.
why it matters
This base case anchors phase assignments inside the quantum ledger formalism and supports later derivations of 8-tick interference that cancel vacuum fluctuations. It sits inside the ledger-to-quantum connection and aligns with the eight-tick octave of the forcing chain. No downstream uses appear in the current graph.
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