Known preparation/time normalization in the given E8 Fock space; identifies δ, not q,τ, physical instruments or P1/P2 source selection. Eight directions require their respective ± responses.
Read the exact result, assumptions and evidence
Result
Cδ(p,t)=exp[−t(|p|²/2+δ·p)]. With yi=−log[Cδ(bi,t)/Cδ(−bi,t)]/(2t), y=Bᵀδ and δ=(Bᵀ)⁻¹y. Eight independent directions suffice and are necessary for unrestricted δ in this linear data class.
Required assumptions
Normalized charged primary responses with known time scale
For the given Kδ, normalized primary charge states ±bi for eight independent original E8 basis charges and their positive e^(−tKδ) return amplitudes at known common t>0 are supplied. Global charge shifts are not thereby derived local physical instruments.
Individually all-Cartan-neutral insertions and fixed vacuum; not charged intermediate fields, charged Gibbs traces or δ-dependent probe operators.
Read the exact result, assumptions and evidence
Result
Each admissible intermediate insertion stays in M(1)⊗|0>. There Kδ=N,Qq=0,tτ=I. All ordered vacuum multitime and Gram responses in this class are therefore identical at arbitrary word length, even with complete36-dimensional quadratic tomography.
Required assumptions
Every insertion preserves all eight Cartan charges
In the same given E8 Fock space every word starts in the vacuum. Each individual insertion belongs to the fixed Heisenberg/quadratic Jordan OPE algebra and commutes with all eight Cartan zero modes; normal ordering, operator labels and initial state do not change with δ. Overall neutrality or Qq neutrality alone is insufficient.
An available original charged-probe contract would make different twist candidates distinguishable.
Original historical attempts linked to this question
These are original research records. Their reported verdicts are distinct from the reviewed results above.
clock source twist transport 20261015
Can the actual Gaussian compiler J act on the retained source time, charge, cocycle and uncompensated quarter transition, either in one fixed source frame or covariantly across its twist orbit?
Recorded verdict: PARTIAL
Historical inventory; not independently reviewed by this export.