Proof.
tfpt research contracts · tfpt research contracts · Research contracts
For [formula in source] , differentiation of minimum and substitution gives [formula in source] . The other empty/full eigenstate costs at least [formula in source] , and the [formula in source] sector also costs at least [formula in source] , so neither undercuts tensor product and energies add. Any state orthogonal to the product ground excites at least one cell, proving the same bound independently of [formula in
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
tex-artefacts/toe_round7_parent_mirror.tex · lines 155 to 175
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
- explicit script identifier v1008_master_assembly_scaffold.py
literal short identifier uniquely resolves in local script registry