Manuscript XI-A-ST@1 · XI-A-ST.tex · section · c3f0929d

The quadratic normalization

The signed action and its Euler derivatives › The quadratic normalization · lines 1778–1872

XI-A-ST@1#sec:resources, XI-A-ST@1#prop:fixedhost, XI-A-ST@1#sec:release

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Finally, the report program has no continuum field input port. A numerical value obtained by a prior calculation is supplied preparation data. To identify this with a field measurement would require a separately defined acquisition map, complete apparatus, and comparison theorem. None is constructed.

fit and fixed-host discipline

A local realization supplies:

  1. the clock and surviving-register dimensions;

  2. all installed rational words, scales, and enclosures;

  3. finite preparation and basis-change permissions;

  4. one regular readout location and actual duration bounds;

  5. complete failure outcomes and returned storage;

  6. all classical control wires.

For surviving qubits, clock dimension , and a score qubit allocated only after clock consumption, the active quantum occupancy of this readout pattern is

before adding any other declared live workspace. The output record requires bits, in addition to the installed table and any returned metadata. Returned quantum storage and external references have their own ledgers.

The actual inequalities

must hold on the supplied schedule. Finiteness alone is not a fit certificate.

All conditional score operations may be co-located with clock readout. If a remote controller is used, its record dependency must be delivered on a declared causal wire. No instantaneous distant use of a classical record is implicit.

A realization passing the stated fit checks does not alter the host, worldsheet, calibration map, or external time coordinate. It does not change , , , or the action when a table entry is read or approximated.

Proof. The command types operate on finite registers, records, and declared controls. They contain no metric-update, worldsheet-update, regulator-update, or action-update output. The resource inequalities refer to the retained reserve rather than creating new space.

This is the fixed-host discipline of I-B, X-A-ST, and the X-L-ST ledger comparison CheungIB,CheungXAST,CheungXLST. It supplies neither a thermodynamic reset cost nor an Einstein source law.

, handoff, and unchanged stops

table

{@{}p{.45}p{.49}@{}} Gate & XI-A-ST result
Gate & XI-A-ST result

Host, worldsheet, future orientation, signature & Prescribed and retained; not reconstructed.

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