Topology Smuggling Depth into the Hamiltonian

Pattern Field Theory (PFT) paper examining topological Hamiltonian correction structure and hidden admissibility depth.

This work reclassifies topological effects as manifestations of hidden structural depth operating beneath conventional flat-space Hamiltonian descriptions.

The paper introduces:
• Hamiltonian Debt
• depth realization
• admissibility-preserving stabilization
• basin locking
• Phase Alignment Lock (PAL)

Core decomposition:

HPFT = H2D + Hdepth + Hdebt

The framework argues that modern topology was effectively smuggling hidden depth structure into Hamiltonians through phenomenological correction terms.

Official source:
https://patternfieldtheory.com/

ORCID:
https://orcid.org/0009-0009-9594-6803