* feat(ADR-0141): multiply as CGA dilator versor (positive non-zero)
Adds `multiply(scale)` to `generate/math_versor_arithmetic.py` as the
standard CGA dilator for multiplicative scaling along e1, restricted to
`scale > 0`. All ten ADR-0141 assertion families pass.
Preliminary measurement confirmed:
N = n_o ∧ n_inf: component -1 at index 15 (blade (3,4) = e4∧e5)
N² = +1.0 (pure scalar) → closed-form D_s = cosh(α/2) + sinh(α/2)·N
n_o · n_inf = -1; n_o² = n_inf² = 0
Because N² = +1, the cosh/sinh expansion is exact in float64 and
D_s · ~D_s = cosh² − sinh² = 1 holds to machine epsilon.
The sandwich D_s·X·~D_s produces a null point with n_inf normalization
1/s. `decode_quantity` is updated to divide by that factor, recovering
value · s. For translator outputs (normalization = 1) the result is
identical to the previous direct e1 read; all 152 prior add/subtract
tests pass unchanged.
`embed_quantity` is updated to embed directly in float64, eliminating
float32 quantization error for values like 0.01 (float32(0.01) ≠ 0.01);
all prior test-case values were exactly representable in float32.
* docs(ADR-0141): add decision document for multiply-as-dilator spike
The ADR doc was drafted in a separate branch and not present when the
implementation worktree was created from origin/main. Adding it now so
the decision record lands on main with the implementation it specifies.
Content unchanged from the draft — same spec the implementation already
satisfies (10 assertion families, fixed test cases, falsification
discipline, deferred scope for negative / zero / divide / Rate).
No code or test changes in this commit.
34cc345d7e