The Koide relation — near [formula in source] , computed exactly
Frontier and open physical interfaces
With the closed lepton source masses [formula in source] the Koide ratio is a pure number (the common prefactor cancels): [formula in source] The measured pole-mass value is famously [formula in source] . So TFPT predicts a Koide ratio that is near [formula in source] but not exactly [formula in source] at source level.
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
documents/tfpt_4_frontier/sections/002-source.tex · lines 1 to 154
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
- explicit file citation v183_koide_f_corner_transfer.py
literal source filename/path in TeX
- explicit file citation v420_fpole_qed_running.py
literal source filename/path in TeX
- explicit file citation v25_frontier_conjectures.py
literal source filename/path in TeX
- explicit script identifier v93_koide_relaxation_toy.py
literal short identifier uniquely resolves in local script registry
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit script identifier v80_operator_pencil_geometry.py
literal short identifier uniquely resolves in local script registry
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit file citation v99_koide_flow_time.py
literal source filename/path in TeX
- explicit file citation v37_plucker_anchor.py
literal source filename/path in TeX
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- cross reference join tfpt_readouts.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- cross reference join tfpt_readouts.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- cross reference join SpectralGapAttractor.lean
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit script identifier v82_koide_attractor_splitting.py
literal short identifier uniquely resolves in local script registry
- explicit claim identifier status_ledger.csv
exact local ledger claim identifier
- explicit file citation v82_koide_attractor_splitting.py
literal source filename/path in TeX
- explicit script identifier v327_hypergraph_rewrite.py
literal short identifier uniquely resolves in local script registry
- explicit claim identifier status_ledger.csv
exact local ledger claim identifier
- explicit script identifier v187_ftransfer_laws.py
literal short identifier uniquely resolves in local script registry
- explicit file citation v93_koide_relaxation_toy.py
literal source filename/path in TeX