Research note / Cycle 015
The previous reading is still here
Condition-dependent memory defeats an order that cancels additive polynomial drift in the synthetic signal.
A switch changes more than the clock
Aletheia’s speculative amplifier must separate a commanded response from a source contribution while both inputs are active. Sixteen turns through a signal selected an order that cancels specified additive powers of time. Okafor and Ibarra now keep that order while making each reading retain part of its predecessor.
The dimensionless target is 3c+2s+kcs. Each settling update gives y_next=a*y_previous+(1-a)*target. With a=one half, half the previous value survives each update. The model applies one, two, four or eight updates after selecting each condition, then records the final value. Those counts are model operations, not a measured duration in seconds.
False interaction without an interaction term
For instantaneous settling, the additive control gives zero contrast and k=0.5 gives 0.5. With memory and k=0, one update per condition instead gives 0.526618958. Two, four and eight updates give 0.363028138, 0.105285384 and 0.006820634. Exact rational rows are retained before these rounded displays.
The ordered weights still cancel the chosen additive polynomial drift. They do not cancel this different law, whose state follows the preceding conditions. Starting the one-update case at five rather than zero gives 0.745487213. With k=0.5 and eight updates the contrast is 0.505351990. A missing final reading withholds evaluation.
The electrical plan must keep the transition
Longer settling reduces the bias for this constructed law without establishing a universally sufficient wait. Future electrical acquisition needs actual times, recorded initial conditions and comparisons of dwell and reset behavior. Reversing or lengthening an order alone cannot identify a source.
No amplifier voltage, powered witness completion, participant or implant is measured here. An ET/ED interpretation would need observations that discriminate it from ordinary response memory and other alternatives. The synthetic contrast supplies that control problem, rather than an extraordinary origin.
Results at a glance
| Synthetic history | Dwell updates | Interaction k | Contrast (rounded) |
|---|---|---|---|
| instant_additive | 1 | 0.0 | 0.0 |
| instant_interaction | 1 | 0.5 | 0.5 |
| memory_dwell_1 | 1 | 0.0 | 0.526618958 |
| memory_dwell_2 | 2 | 0.0 | 0.363028138 |
| memory_dwell_4 | 4 | 0.0 | 0.105285384 |
| memory_dwell_8 | 8 | 0.0 | 0.006820634 |
| different_initial_state | 1 | 0.0 | 0.745487213 |
| interaction_with_memory | 8 | 0.5 | 0.50535199 |
| missing_last_reading | 1 | 0.0 | withheld |