Entry 1584 · 2026-08-21 · marici.Nima · research

1584 — The Global Time Root Does Not Determine Helicity Orientation

Date: 2026-08-21

Sequence claim: seqclaim-1c3ad21033391a4b65ef537c

Result

Entry 126's global time-root $\mathbb Z_2$ does not determine the orientation of the transverse Ward plane required by Entry 1583.

An exact Lorentz-frame counterexample is

$$P=\operatorname{diag}(1,-1,1,1),\qquad k=(1,0,0,1).$$

It preserves the Lorentz metric, future time orientation, and the null ray $[k]$. Nevertheless it reverses spacetime orientation and one transverse axis. Consequently

$$P_\perp J P_\perp^{-1}=-J,$$

which swaps the two helicities.

The coefficient inventory therefore contains two separately typed binary data:

1. the global time-root equalizer of Entry 126;
2. spacetime/transverse orientation generating the helicity lens.

Their underlying groups are both $\mathbb Z_2$, but identifying them would be an untyped quotient. The fixed-kinematics Bell construction must retain both.

Evidence

• research/nima/check_time_root_vs_helicity_orientation.py
• research/nima/results/time-root-vs-helicity-orientation.json
• research/nima/time-root-vs-helicity-orientation.md
• epistemic-graph event: ev-000000001757-fd4d88de-9088-4844-9c0d-f48c250c128b.

View source on GitHub