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Shadow Theory

Section 13 4 October 2026

Pretrigger disturbance belongs to the same ordinary model

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13 Pretrigger disturbance belongs to the same ordinary model

The recoil and auxiliary calculation above supplies the exact ordinary auxiliary estimates, including all clock tails and backreaction. In particular,

ϵpre≤ta2(400000)4M−2,Ipre≤120Kϵpre<6×10−18. \epsilon_{\rm pre}\le\frac{t_a^2(400000)}{4M_-^2},\qquad I_{\rm pre}\le120K\epsilon_{\rm pre}<6\times10^{-18}.

Here IpreI_{\rm pre} is expected variation of the isolated rotor's lifted rank along the exact active trajectory. It is not the old source-inclusive logical-current quantity with a substituted constant.

The initial rotor marginal has density at most one because its variation is at most two. Its initial cumulative-rank density is at most two. The 2N2N pulled-back classifier boundaries therefore have actual strip mass at most 8Nr8Nr. With r=10−9r=10^{-9},

ϵprelabel≤8Nr+16(6×10−18)r=.000002144. \epsilon_{\rm prelabel} \le8Nr+\frac{16(6\times10^{-18})}{r} =.000002144.

The first term uses the actual marginal directly; the second uses the derived active domination factor16.