TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/original-local-source-variable-background-20261102/SOURCE-GENERATOR-RESIDUAL-20261103.txt
Original file SHA-256: 20b7964c369a18f6bcad5d095d61759162a40c793344ec2714367cec8d408fa9
Inclusive original lines: 115-177
Line numbers below refer to the original source.
This bounded excerpt is source evidence; it is not a new proof/checker run.
Conversation metadata and personal execution details are omitted where indicated.

000115 | given original source fixes the derivative in (5) and hence excludes all
000116 | incompatible members. The original domination premises alone do not.
000117 | 
000118 | 5. EXECUTED MARKED TIME RESPONSE OF THE ACTUAL ORIGINAL C6 OPERATOR
000119 | 
000120 | Use EM005:114-222, with its OWN internal phase labels:
000121 |  C=(U6+U6*)/2,
000122 |  a=y^2+delta_ph^2+epsilon^2, b=y delta_ph, a>2b>0,
000123 |  Y=(aI-b(U6+U6*))^-1, R=(a-2b)Y.
000124 | The only normalization here places the existing Perron eigenvalue at1.
000125 | It is an internal transfer comparison, NOT physical clock calibration.
000126 | The original source formula gives a,b; no values are fitted in this test.
000127 | 
000128 | For its uniform normalized Perron vector e and the diagonal label probe
000129 | O=|0><0|-I/6 on the given C6 space, direct evaluation gives for k>=0
000130 |  C_mark(k)=<e,O R^k O e>
000131 |          =(2 r1^k+2 r2^k+r3^k)/36,
000132 |  r1=(a-2b)/(a-b), r2=(a-2b)/(a+b), r3=(a-2b)/(a+2b).
000133 | The logarithmic excitation rates are -log(r1),-log(r2),-log(r3), with
000134 | multiplicities2,2,1. This is the spectrum of THIS original normalized
000135 | Green operator, not an identification of the original physical H_adm.
000136 | 
000137 | Root directly evaluated the literal symbolic6x6 matrix at k=0,1,2.
000138 | All three response residuals are exactly0. A fourth symbolic identity is
000139 |  C_mark(0)C_mark(2)-C_mark(1)^2
000140 |  =b^2(a-2b)^2(3a^2+8ab+7b^2)
000141 |   /[108(a-b)^2(a+b)^2(a+2b)^2] >0.                     (6)
000142 | A single flat positive excitation rate has zero for this expression.
000143 | Thus the SAME marked C6 operator response cannot be replaced by a
000144 | flat Perron penalty. The former spectrum-only observation is reused;
000145 | the explicit marked response and positive exact defect are evaluated here.
000146 | All of this retains internal transport time; no 3+1D momentum or mass
000147 | spectrum is inferred by relabeling the six phases.
000148 | 
000149 | 6. ACTUAL OUTCOME OF THE REQUEST
000150 | 
000151 | The derivation removes the original zero-penalty terms and identifies
000152 | the precise unresolved source-time form (2). It proves why the available
000153 | positive parent premises cannot fix the joint spectrum, and evaluates
000154 | an exact response of the given transport operator rather than scanning
000155 | new models. The diagonal probe is not asserted to be an already identified
000156 | physical field insertion of the original complete source.
000157 | The complete primitive fermionic/bosonic source call, its boundary
000158 | projection and time jet have not been supplied by the checked routes.
000159 | H_adm[F,0] and the full physical joint spectrum remain not_computed.
000160 | This is not a claimed derivation of their values or a TFPT completion.
000161 | 
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000173 | 
000174 | CHECKING. Root symbolic execution: four exact identities, all residuals0,
000175 | exit0. Separate original-action review checked pairing/KO6/actual callers.
000176 | Independent generator review checked (1)-(5), locality qualification,
000177 | minmax and the fixed zero-time word. No full suite, Lean or Wolfram run.