TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/original-local-source-variable-background-20261102/ORIGINAL-TIME16-EVALUATION.txt
Original file SHA-256: fcf192141afdcbef2a94e880f6d1d76491a9a6dd7e386f636d670a64a296c1d8
Inclusive original lines: 1-165
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.

000001 | R106. Executed time evolution on the actual sixteen original CAR fields
000002 | 3 November 2026. Native execution and source attribution, not a new parent.
000003 | 
000004 | REQUEST AND PRECISE OUTCOME
000005 | 
000006 | [OMITTED: non-scientific conversation or execution metadata]
000007 | [OMITTED: non-scientific conversation or execution metadata]
000008 | [OMITTED: non-scientific conversation or execution metadata]
000009 | [OMITTED: non-scientific conversation or execution metadata]
000010 | [OMITTED: non-scientific conversation or execution metadata]
000011 | 
000012 | The different primitive H_adm reconstructed from the common S/Z has not
000013 | been evaluated on these16 fields: the cited seed/OS statements provide its
000014 | definition/existence but not that field/transfer intertwiner. This is an
000015 | explicit uncomputed quantity, not a zero or a secretly substituted parent.
000016 | The saved native JSON records primitive_H_adm_evaluation with null matrix
000017 | element and status not_computed_unidentified_original_field_transfer_map.
000018 | 
000019 | All G/H/I/J and R104/R105 results remain. J already analytically established
000020 | the whole R104 chart and distinguished additive versus flat time. This
000021 | execution applies those original formulas to the native65536D carrier and
000022 | evaluates their exact number-charge coefficient and all sixteen field laws.
000023 | It is not counted as a new derivation of the physical parent or of P1.
000024 | 
000025 | 1. ACTUAL ORIGINAL SOURCE CALLS AND DATA
000026 | 
000027 | v1002_spin10_mirror_projector.py supplies all16 native c_i, P_phi and
000028 | theta=pi/7. Its original local parent is Q=I-P_phi, unit gap.
000029 | v1013's literal table supplies the DIFFERENT coefficient2Q.
000030 | v1027_signed_det_car_wall.py:82-153 gives the original canonicalization
000031 | U and a_i=Uc_iU*, N_a=sum a_i*a_i, with Q<=N_a<=nQ. It explicitly says
000032 | Delta N_a is not Delta Q. Its finite dense control is n4 and theta0;
000033 | its proof is the same even-n conjugation rule. We use that rule on the
000034 | actual native n16, with the already specified v1002 phase. We do not call
000035 | this a preexisting n16/pi7 dense code run or claim phase selection.
000036 | 
000037 | For F=|full><0|, P0=|0><0|, PF=|full><full|, put
000038 |  U=I+(1/sqrt2-1)(P0+PF)
000039 |       +(exp(i theta)F-exp(-i theta)F*)/sqrt2.            (1)
000040 | This is the phase-transported original two-plane rotation. Equivalently
000041 | U_theta=R_theta U_0 R_theta*, R_theta=exp(i theta N/16).
000042 | The conjugation identity does not assume a physical continuous U1 symmetry.
000043 | 
000044 | The actual native calculation constructs each a_i from c_i, then SUMS
000045 | their sixteen a_i*a_i, independently of the target flat generator:
000046 | 
000047 |  N_a=N+8(P0-PF-exp(i theta)F-exp(-i theta)F*).          (2)
000048 | 
000049 | No target coefficient is inserted into this sum. In old c coordinates
000050 | the canonical number parent is nonlinear, despite being quadratic in a.
000051 | R105's low-degree test cannot be applied after switching fields but
000052 | silently retaining the old empty/full boundary vectors. This distinction
000053 | is realized by the actual original nonlinear U, not a hypothetical map.
000054 | 
000055 | 2. THE GENERATED VERTEX, EVALUATED
000056 | 
000057 | For the separately specified original rule H_add=Delta N_a, Delta>0,
000058 | 
000059 |  <full|H_add|0>=-8 Delta exp(i theta),
000060 |  <0|H_add|0>=<full|H_add|full>=8 Delta,
000061 |  <e_i|H_add|e_i>=Delta.                               (3)
000062 | 
000063 | For the actual v1013 flat parent H_flat=2Q,
000064 |  <full|H_flat|0>=-exp(i theta),
000065 |  <0|H_flat|0>=<full|H_flat|full>=1,
000066 |  <e_i|H_flat|e_i>=2.                                 (4)
000067 | 
000068 | Both original rules therefore have an actual charge16 transition. They
000069 | do not give the same coefficient or the same diagonal hierarchy. At a
000070 | common one-particle gap Delta2, their charge16 amplitudes differ by16
000071 | and ||2N_a-2Q||=30. At unit coefficient ||N_a-Q||=15.
000072 | 
000073 | The whole exclusion does not depend on choosing Delta2: on k dressed
000074 | excitations H_add has energy Delta k, while H_flat has energy2 for every
000075 | k>=1. Matching k1 fixes Delta2; then k2 gives4 versus2. No positive common
000076 | clock rescaling or additive energy constant fixes both once the common
000077 | ground energy and actual relative normalization are retained. This is
000078 | the original explicit parent distinction, now actually executed, not a
000079 | new global exclusion of other original TFPT sources.
000080 | 
000081 | 3. REAL-TIME UNITARY EVOLUTION OF ALL SIXTEEN FIELDS
000082 | 
000083 | Use the original Heisenberg convention alpha_t(O)=exp(itH)Oexp(-itH).
000084 | For every native bare field c_i, P c_i P=0. Exact spectral multiplication
000085 | gives
000086 | 
000087 |  alpha_flat,t(c_i)=c_i+(exp(-2it)-1)P c_i
000088 |                          +(exp(2it)-1)c_i P.          (5)
000089 | 
000090 | For every original dressed field a_i, a_i P=0, hence
000091 | 
000092 |  alpha_flat,t(a_i)=a_i+(exp(-2it)-1)P a_i,
000093 |  alpha_add,t(a_i)=exp(-i Delta t)a_i.                  (6)
000094 | 
000095 | Equation(5) is on the SAME old c fields, not just on renamed a fields.
000096 | The routine computes both full unitary matrices sparsely and verifies
000097 | (5) for all16 c_i, then(6) for all16 a_i. Maximum entry errors are
000098 | 3.926e-17,5.552e-17,9.551e-16 respectively at diagnostic t0.31,Delta2.
000099 | The proof is spectral for every real t; sampled time only checks code.
000100 | 
000101 | The original nonlinear flat term retains multiparticle information. The
000102 | attempted linear law [2Q,a_i]=-2a_i holds on the one-excitation-to-vacuum
000103 | transition but fails on two-to-one: mode0 residual norms are approximately
000104 | 3.109e-17 and exactly2 in those two original sectors.
000105 | 
000106 | For i!=j, |ij>=a_j*a_i*|phi> is normalized. Its actual ordered four-field
000107 | amplitude is
000108 |  <phi|a_i a_j exp(-itH_flat)a_j*a_i*|phi>=exp(-2it),
000109 |  <phi|a_i a_j exp(-itH_add )a_j*a_i*|phi>=exp(-2iDelta t).
000110 | At t0.31,Delta2 the latter is0.3247962844-0.9457839994i and the former
000111 | 0.8138784567-0.5810351605i. They are amplitudes, not probabilities.
000112 | Their different phases are a direct whole-source word mismatch.
000113 | 
000114 | 4. EUCLIDEAN WORDS AND Z0, KEPT DISTINCT FROM REAL TIME
000115 | 
000116 | The same four-field Euclidean amplitudes at s0.31,Delta2 are
000117 |  exp(-4s)=0.2893842179 for H_add,
000118 |  exp(-2s)=0.5379444376 for H_flat.                      (7)
000119 | The actual complete zero-source cluster traces are
000120 |  Z_add(beta)=(1+exp(-Delta beta))^16,
000121 |  Z_flat(beta)=1+65535 exp(-2beta).                     (8)
000122 | At diagnostic beta1,Delta2 these are7.6205471889 and8870.1977869114.
000123 | No beta, energy normalization or physical temperature is selected.
000124 | 
000125 | The report also records selected old-c inverse-heat conjugation entries.
000126 | They are explicitly named euclidean_conjugation, not unitary Heisenberg
000127 | evolution. Large inverse-heat entries are not a real-time instability.
000128 | The real-time matrices, field laws and complex words are checked separately.
000129 | 
000130 | 5. WHY THIS IS NOT YET AN EVALUATION OF PRIMITIVE H_ADM
000131 | 
000132 | The relevant original Boundary002:78-83 states the reconstructed admissible
000133 | Lorentzian group alpha_t(O)=exp(itH_adm)Oexp(-itH_adm), under the later
000134 | carrier fluctuation/admissibility hypotheses. Lines103-143 define the
000135 | operational seed as (A_loc,tau_t,Theta,omega,[u_Sigma],D_coll); tau_t is
000136 | part of that supplied structured object, not a numeric sixteen-field
000137 | matrix manufactured from c3 alone.
000138 | 
000139 | Original QFT008:215-254 defines H_adm through the complete OS Schwinger
000140 | family and time translations. That reconstruction is a real source
000141 | definition, not an explicit coefficient <full|H_adm|0> on the v1002
000142 | mirror fields. The particular native c_i/field-intertwiner is not assigned
000143 | in these cited passages. The internal sixteen-dimensional spinor is not
000144 | itself a complete Fock/field/time correspondence.
000145 | 
000146 | The original neutral Q0 current generator is already explicitly evaluated
000147 | and its vacuum/BW source is solved. It is not identified with these sixteen
000148 | mirror insertions. J's whole U_det R104 map likewise starts with H_flat
000149 | and transports it. It does not provide an independent primitive generator.
000150 | Reading either as that missing primitive H_adm would answer a different
000151 | question by relabeling existing results. No such relabeling is made here.
000152 | 
000153 | Consequently the strongest actual computed verdict is:
000154 |  - native v1002/v1013 supplied DET time: exact equations(4)-(8);
000155 |  - original v1027 canonical number rule: generates(2)-(3), NOT2Q;
000156 |  - primitive S/Z OS H_adm on the SAME c_i: not computed, its original
000157 |    field/transfer assignment is not furnished by the cited source chain.
000158 | 
000159 | It is not legitimate to replace that last entry by zero, the number parent,
000160 | a bare Dirac matrix or the already supplied DET parent. Nor is this a
000161 | proof that no such map occurs elsewhere in the corpus. It is the precise
000162 | boundary of the requested evaluation with these actual original inputs.
000163 | No fundamental solution or physical impossibility has been established.
000164 | All prior52 scoped completions,G/H/I/J,E8/clocks,state/time/RP,memory and
000165 | solved Yukawa/flavor/alpha remain. No paper/ledger/Lean promotion.