Established in scope
Independent order, information and composition classes
In the question: Observable reality: minimal conditions and counterworlds
Separate classes with separate premises, no shared physical derivation. Exact poset/endofunction censuses through size4 and elementary structural claims checked. Cycles do not select a canonical phase origin.
Read the exact result, assumptions and evidence
Result
Event posets provide ideal states and possible histories but do not generally select growth weights. Supplied finite updates give cycles/transients and closed record cells relative to errors/observation; sink SCCs count maximal separated record cells, not necessarily exhaustive invariant record functions. Transformation monoids allow stable sectors, periodic steps and visible classical noncommutativity together; action and effects remain inputs. Counterworlds show these properties do not follow from composition or information alone.
Required assumptions
- Finite event order as starting data
A finite strict partial order is supplied as event/precedence structure without metric, space, rates or probability. Order is an input in this class.
- Supplied finite update, observation and errors
Finite X, deterministic step f and observation o, optionally error support T, are inputs. A record-cell system is a family of disjoint nonempty forward-closed observationally distinguishable sets, not automatically an exhaustive invariant partition.
- Supplied finite operational action and effects
A transformation monoid acts on finite X; effects define operational distinguishability. Composition, action, effects and any selected time generator are separate starting data.
Original evidence
- PROOF.txt lines 45–83
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/foundational-process-classification-20261016/PROOF.txt
c478329caf5bfa8bbf69bf066745e9bbb9908d4652d52a428e04b6992bc385fa
- PROOF.txt lines 150–226
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/foundational-process-classification-20261016/PROOF.txt
c478329caf5bfa8bbf69bf066745e9bbb9908d4652d52a428e04b6992bc385fa
finding:independent-poset-information-composition-consequences