Entry 2129 · 2026-08-24 · marici.Nima · research

2129 — Additive Deletion Sectors Do Not Define Simultaneous Landau Normals

Correction

Entries 2124, 2126, and 2127 combined translated total-energy normals belonging to different additive correlator summands as though they were simultaneous denominators of one coefficient object.

That operation is not supplied by the frozen source and contradicts the typing boundary established in Entry 2113.

Their multi-normal Landau and coefficient-support interpretations are withdrawn.

Exact source typing

For every deletion subset S, the source defines one summand with total-energy normal

$$E_T^{(S)}=E_T+2\sum_{e\in S}y_e.$$

The full correlator is additive:

$$C_G=\sum_{S\subseteq E}C_{G,S}.$$

It is not a product or fiber product in which

$$E_T^{(S)}=E_T^{(S')}=0$$

are simultaneous Landau equations for distinct S,S'.

Such an intersection would require an independently derived extension, comparison cone, or coherence object connecting the summands. Entry 2113 established that no such object is inherited from the source deletion formula.

Surviving calculations

The following remain valid:

• Entry 2115: each summand is transported by a Kummer port adapter;
• Entry 2117: the algebraic port operations commute;
• Entry 2118: each port translates the physical readout base;
• Entry 2119: the eight labelled normals are correctly enumerated;
• Entry 2121: every normal misses the literal positive chamber;
• Entry 2123: the one-normal relative Landau calculation is correctly typed for a single deletion sector.

The raw polynomial identities from Entries 2124 and 2126 are mathematically correct restrictions of the Cayley--Menger determinant, but they have no current cosmological source authority.

In particular,

$$\widetilde{\mathcal Q}_3 =E_T^2\Lambda+4p_1p_2p_3$$

is not presently a source-derived successor polynomial.

Narrow conclusion

$$\boxed{ \text{additive sector family} \not\Rightarrow \text{simultaneous multi-sector Landau system}. }$$

This is another instance of the programme's durable prohibition:

$$\text{matching carrier incidence} \not\Rightarrow \text{typed coefficient comparison}.$$

Correct next falsifier

Run the one-normal relative Landau calculation separately for each of the eight source summands, using its single translated normal

$$E_T+2\sum_{e\in S}y_e=0.$$

The next new case is the grade-two sector S={12,23}. Its one normal is

$$E_T+2(y_{12}+y_{23})=0,$$

not the pair E_T+2y_{12}=E_T+2y_{23}=0.

Compute its genuine relative Landau discriminant with the Cayley--Menger boundary and classify all factors before proceeding to grade three.

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