Only actual internal v395 family operator,5 exact matrix checks and analytic prime-factor proof. Existing Perron fixed point, P1 carrier/3/5 views and other clock results retained; no new model choice or physical completion.
Read the exact result, assumptions and evidence
Result
Original v395 _family_M has spectrum1,2/3,1/3 and determinant2/9. Whole positive powers are not I and no invertible similarity makes it unitary. Under the additional Euclidean identification M=exp(-tau H_M), gaps log(3/2)/tau and log3/tau are incommensurate: a rational ratio m/n would force3^(n-m)=2^n. Thus this whole H_M has no nontrivial exact real-time period. This does not identify H_phys or exclude general TFPT/cosmology. The physical connection must evaluate the original energy support and same-source geometry response from S/Z.
Required assumptions
Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
Model results remain conditional
Calculations in a fixed E8 net, quotient, family packet, or readout apply only under their stated inputs and do not select those inputs.
Original paper SectionsII,III,V,VI and traced press attribution; no observational confirmation or independent full validation of observer estimates.
Read the exact result, assumptions and evidence
Result
Carroll/Diachenko/Dulani2605.30405v1 of28May2026 matches BILD4October2026 and September/October coverage, although the specific press article is not uniquely identified. The source imposes commensurate energy gaps and a low thermodynamic entropy state, while its spacetime map remains conjectural. Their selection and a spatial Genesis point are not derived. Unitary whole-state return differs from collapsing distinct orthogonal states to a single whole state; the latter does not preserve inner products.
Required assumptions
Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
The reviewed decision record says which approach can be reused, which failed in its scope and what a new attempt would have to change.
What is resolved, and what remains
Open task
Test periodicity and Genesis response on the same whole source
Source-faithful whole-state periodicity or scoped exclusion, plus a regular same-source derived Genesis transition with actual geometry and records.
Next investigation: Retain existing actual S/Z field/time route R109/L/R111. Once the physical generator/support is evaluated, test (Ej-Ek)T in2piZ and derive the geometry response and preserved records across Genesis from the same source. Do not substitute the internal family operator for H_phys or freely choose a suitable spectrum.
Original historical attempts linked to this question
These are original research records. Their reported verdicts are distinct from the reviewed results above.
cyclic genesis literature 20261103
Which cyclic cosmology paper matches the September/October press hint, and does the original TFPT recursion supply exact quantum recurrence?
Recorded verdict: LITERATURE_MATCH_AND_SCOPED_DIRECT_RECURSION_EXCLUSION
Historical inventory; not independently reviewed by this export.