Scope
Chapter “The admissibility frontier”, section “Three local motion types”. This is assertion 1 of 6 in that section.
Expanded claim page · assertion 1 of 6
Three local motion types
EstablishedTranslator
Follows from declared assumptions and has an inspectable certificate. moves a structure between mathematical, physical or ordinary languages.
Exact assertion
On one real two-dimensional symplectic carrier, a generator squaring to minus one produces complex rotation, one squaring to plus one produces split-complex boost or squeeze, and a square-zero generator produces dual-number shear. The invariant form admits all three; it does not choose among them.
What this commits us to
The stated conclusion follows inside the declared model. Reusing it elsewhere requires carrying the same object definitions, assumptions and typing.
Logical anatomy
Evidence posture
Audit the declared carrier, assumptions and certificate. The result is exact only within that written scope.
Research move
moves a structure between mathematical, physical or ordinary languages.
Verification route
- Recover the declared objects and assumptions from the controlling documents.
- Check the calculation, construction, obstruction or stopping rule on those same objects.
- Compare the source conclusion with the exact assertion above; do not strengthen its verbs or enlarge its domain.
- Apply the status rule and retain every named external dependency.
What would move or defeat this claim
Locate a mismatched definition, an omitted assumption, a failed certificate step or a counterexample on the declared carrier.
Source map
Controlling documents
- admissibility 129 elliptic hyperbolic parabolic local alphabetOpen controlling document →
- admissibility 130 quarter turn and mirror generate the dual seamOpen controlling document →
- admissibility 131 the authored rail grading closes the local clifford cell but opens a coincidence channelOpen controlling document →
- admissibility 132 cross corpus clifford cell atlas and exhaustionOpen controlling document →
- admissibility 133 the incidence coincidence doublet detects odd cycle topologyOpen controlling document →
- admissibility 134 no global semantic adjoint exists on the current claimipedia relation sourceOpen controlling document →
- admissibility 142 a three resonator parity switch turns the dual face into a detectorOpen controlling document →
- admissibility 123 locally invariant carrier and mirror face spineOpen controlling document →
- admissibility 126 typed two rail positive lift preserves the mirror faceOpen controlling document →