TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/older-paper-source-recovery-20261025/HEAT-TRANSFER-IR-CLOSURE.txt
Original file SHA-256: eef9329b3804c06de8d36e9313084ce9c34595f3c78476552615d006c4422a48
Inclusive original lines: 201-228
Line numbers below refer to the original source.
This bounded excerpt is source evidence; it is not a new proof/checker run.
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000201 | 
000202 |  (ii) q_heat=exp(-t/4) with the original EM argument
000203 |       q_EM=delta_top exp(-2 alpha_EM);
000204 | 
000205 |  (iii) the ground-normalized t->infinity limit with an actual operation
000206 |        or limiting prescription in the original electromagnetic source;
000207 | 
000208 |  (iv) the signed B_a circle rotation with the original charged CAR time,
000209 |       Euclidean reflection, full source functional and spacetime locality.
000210 | 
000211 | In particular the older cosmology branch sometimes assumes a lowest-block
000212 | multiplicity48. Its large admissible carrier is not the scalar multiplicity1
000213 | circle used in (1). Both are existing source statements in different
000214 | sectors; their common label does not identify them.
000215 | 
000216 | The heat parameter t, the twist a, the spectral-flow path parameter and
000217 | the electromagnetic coupling alpha_EM are four different variables. A
000218 | positive |B| heat semigroup does not fix the orientation of B, the sign
000219 | of the quarter holonomy, or a physical Fock Hamiltonian.
000220 | 
000221 | 8. The positive spectral half is a different canonical trace
000222 | ------------------------------------------------------------
000223 | The same supplied B_a has the canonical positive spectral projector
000224 | P_+=1_(0,infinity)(B_a). It reduces |B_a|. For every 0<a<1, not only
000225 | the quarters, its compressed heat transfer has nonzero eigenvalues
000226 | 
000227 |   T_t^+=P_+ exp(-t|B_a|)P_+ : exp[-t(n+a)], n>=0.
000228 |