Scale-Time Dynamics Two engineering notes CC BY 4.0

Sampled Tracking and Alias Recovery.

One ambiguous integer, two directions.

A single wrapped-phase observation does not uniquely determine the whole-cycle count. Recovering it takes additional information and explicit assumptions: a continuity assumption, a second scale factor, a fiducial, an external prior. That ambiguity is not a defect of any one instrument. It is a property of wrapped observation, and it decides what two very different machines can honestly claim.

These notes take the same fact in two directions: one measures, one schedules. Each states where its claims end, names which comparison would retire which part of it, and ships the code that reproduces its numbers.

The factA wrapped phase is non-injective. A single observation does not uniquely determine the whole-cycle count; recovering it takes additional information and explicit assumptions.
EN-003 · MeasureStop requiring the integer. Decide on the density the control loop consumes, and report the risk that it is wrong.
EN-002 · ScheduleConstruct the command count rather than infer it. Commands are guarded phase crossings; a monotone ledger records commitments, and actuator feedback verifies delivery.

The two directions

Pick a direction.

Both are engineering notes, not products. Their evidence consists of model calculations, simulations and implementation checks; neither establishes an operational hardware advantage.

EN-003 · v1.0 · October 2026

Fusion Density Under Ambiguity

Interferometers that measure the electron density of a confined plasma read a wrapped phase, and a fringe jump puts the whole count in doubt. The correction approaches this note reviews resolve the count, then report the density. This note decides on the density instead, and reports the probability that it is wrong by more than a stated tolerance.

  • Instrument Two-color interferometer–polarimeter, the topology of ITER's primary density diagnostic, designed for real-time density control
  • Status Model-conditional; offered for evaluation on measured records
  • Result In the prototype simulation, marginalization retains every density estimate and cuts tolerance-exceeding errors fourfold; a 99 % count-confidence requirement would release none
Read the fusion direction →
EN-002 · v1.0 · August 2026

Lock-Window Pulse Scheduling

A controller integrating its own lifted oscillator does not have to recover the integer from wrapped observations; it constructs the command count. STAR Drive is a phase-locked pulse-scheduling architecture whose stroboscopic reduction is the sine circle map. It is a design theory for the schedule, and for nothing else: no new momentum source is proposed.

  • Instrument A conventional pulsed actuator against a conventional reservoir
  • Status Stage 0b closed and audited; 36 regression tests and a 286-entry manifest, supporting reproducibility rather than physical validation
  • Result Lock windows determined numerically, not read off their rational labels; a computable timing floor declared in advance
Read the propulsion direction →

What the two have in common

The same discipline, applied twice.

Neither note claims a breakthrough. Both are built to be checked, and both say in advance which result would retire which part of them.

01

Every claim carries a tag

Definition, modelling assumption, model-conditional result, computed number, external result, conjecture. A reader can tell at a glance which sentences are derived, which are assumed, and which are still open.

02

The numbers regenerate

EN-002 ships 36 regression tests and a 286-entry manifest tying every value to its generating artifact. EN-003 ships a script that recomputes every number it reports, with pinned dependencies and the complete reference output.

03

Both name their own end

Each note states which comparison would retire which part of the proposal. A component that loses at matched conditions is withdrawn, without treating the remaining accounting or the independently supported components as disproved.

Precise enough to fail, in a named place, at a stated number.

The standard both notes are written to

Contact

Scale-Time Dynamics

Both notes are offered for evaluation. Correspondence on either direction, on the evidence packs, or on a joint evaluation is welcome.

AuthorAndré Dupke
Scale-Time Dynamics LLC · Florida, United States
EN-003Fusion Density Under Ambiguity
Version 1.0 · 2 October 2026 · DOI 10.5281/zenodo.23105860
EN-002Lock-Window Pulse Scheduling
Version 1.0 · 7 August 2026 · DOI 10.5281/zenodo.21833505
LicenceCC BY 4.0
© 2026 Scale-Time Dynamics LLC
Parent frameworkScale-Time Theory 11.0
The Pre-Geometry of Scale Space
stardrive.energy

Sampled Tracking and Alias Recovery