v2.0 — Scientific correction: the single-domain no-go
Archived on Zenodo: 10.5281/zenodo.21464971 · Paper text and figures CC BY 4.0; source code MIT.
A major-version correction release, not a polish pass. Paper IV of
the series — Optical-Axis Anisotropy on the A=1 Discrete Causal
Lattice: Birefringence Cancellation and a Single-Domain No-Go
(DOI 10.5281/zenodo.21435952)
— establishes a no-go result that materially corrects claims made in
this paper.
The finding, in one sentence: the original three-diagonal,
single-domain A=1 construction produces an unsuppressed
(order-unity, mass-dimension-four) common-mode photon-speed
anisotropy, which electromagnetic isotropy measurements exclude. The
matter sector is likewise excluded as constructed — the earlier
"matter is dimension-six suppressed, therefore safe" reading is
retracted. The root cause of both is the omission of the fourth
cube body diagonal V_4 = (1,1,-1).
The A=1 conservation principle is not falsified. The failure traces
to the hop-set realization, not to the conservation law. The bump to
2.0 reflects that the claimed phenomenological viability of the
specific construction is withdrawn.
This is Paper I of the A=1 Discrete Causal Lattice series.
What changed
Front matter, before the abstract:
- A Revision notice stating the finding, its source, and its scope.
- A "Changes from the previous version" table covering both
sectors:
| Original claim | New status | Reason |
|---|---|---|
| Three-diagonal A=1 vacuum is phenomenologically viable | Withdrawn | Gauge common-mode speed is O(1) anisotropic |
| Matter sector safe (dimension-six-suppressed) | Withdrawn / retracted | Referee M1/M2 (Paper IV, exp_05_matter_sector_order): matter also excluded as constructed |
| Optical axis is a suppressed lattice artifact | Revised | It enters the gauge action at dimension four |
| Adjugate closure and null birefringence | Retained, conditional on blocks | Algebraic theorem remains valid |
| A=1 conservation principle | Unresolved, not falsified by this result | Failure traces to hop-set realization |
Audit table — one addition, no status changes:
- New row "Single-domain gauge viability" →
FAIL, recording Paper
IV's result directly. Gauge-sector birefringenceandMulti-channel concordance (P9)are
footnotedSTUB*. Their evidence read "empirical test open" at
v1.0–v1.03; that test has since been performed and returned a null
result for this realization. Their derivations remain valid — the
phenomenological status is what is settled negatively, and only for
this hop set.
Rolled up from v1.03 (prepared but never deposited): the front-matter
Erratum correcting the GRB lattice-spacing bound
(a <= 7.6e-19 m → a <= 3e-28 m, narrowing the calibration window
from ~16 decades to ~7) and retracting the P7 "two arrival peaks"
photon signature.
What survives
- The A=1 conservation formalism — unresolved, not falsified.
- The adjugate closure theorem and null birefringence —
algebraically valid, conditional on the blocks. - Bell and other program results, which do not depend on the
single-domain three-diagonal vacuum.
What did not change
The paper body, appendices, and figures are preserved. They
document the reasoning that led to the falsifying result, and are
deliberately not rewritten. Where the front-matter notice qualifies a
body claim, the notice is authoritative.
No experiments, scripts, notes, or data change.
Provenance
All earlier deposits are preserved unchanged at the Zenodo concept
record's prior version DOIs. The originals are not withdrawn — they
record the reasoning that produced the falsifying result.
Full change log: release_notes/v2.0.md.
Prior versions remain archived and are not withdrawn: v1.02 · v1.01 · v1.0
Note on the DOI. An earlier v2.0 deposit was cut under
10.5281/zenodo.21460564and subsequently deleted (that DOI now returns HTTP 410 Gone). Do not cite21460564. There is exactly one published v2.0 and its DOI is10.5281/zenodo.21464971.