Sequential conserving interface

One finite field realization uses distinct neutral scalar species of equal dispersion in the same regulated s-wave energy mode. No additional conserved flavor number is imposed, and the specified couplings may mix the degenerate species. This is an artificial but explicit field-sector choice, not an identification of known astrophysical particles.

Exact energy conservation below concerns this energy-eigenmode regulator. A finite-time wavepacket is not an exact energy eigenmode. Replacing these sectors by finite-time collected packets requires a separate spectral-width and channel-error certificate.

and energy budget. The initial source energy is $M$, and

The code is degenerate within that initial sector. Its logical Hamiltonian is zero after subtraction of the common sector energy.

. At prefix $t\ge 1$, the construction uses

The first summands record completed transfer time and key. The last summands contain a pending encrypted logical system. The growth of this particular ledger is disclosed; no claim that it models a decreasing black-hole microstate dimension is made.

The required finite isometries can be embedded in a larger fixed energy-sector Hilbert space and extended to block-energy-conserving unitaries on prepared source-plus-vacuum ports. Unused orthogonal states are included in that embedding. This finite-dimensional extension does not supply a local gravitational Hamiltonian.