Log-Harmonic Field Theory (LHFT)

A central consequence of this perspective is that a complete one-to-one closure between LHFT and all formal Standard-Model degrees of freedom may not be the appropriate target. In LHFT, part of what appears in standard language as additional fields, auxiliary structures, vacuum terms, or dark-sector effects may instead correspond to projection-hidden or Schur-effective structure. Such contributions can be mathematically represented inside the visible-sector formalism without being ontologically visible degrees of freedom in the LHFT sense. This does not make the Standard-Model treatment mathematically wrong. Rather, it suggests that some structures may have been interpreted too strongly as visible-sector ontology, although they may belong to an inaccessible or suppressed complement whose only observable role is its effective imprint. mathematically valid ≠ ontologically fundamental Accordingly, the aim of LHFT is not to reproduce every auxiliary, gauge-fixed, or dark-sector representation as a fundamental object. Its aim is to recover the physical observable content through projection, quotienting, and Schur-controlled backreaction. In this sense, the open microscopic closure problem is not merely a missing calculation. It may also reflect a category mismatch: the Standard Model and its extensions often encode non-visible or indirectly effective structure inside an enlarged visible-sector formalism, whereas LHFT separates visible recovery from projectively hidden structure. The remaining proof task is therefore not to identify every Standard-Model formal degree of freedom with an LHFT primitive, but to show that the same observable physics arises from a smaller and more constrained projection structure.