Resonance Lab / E1P conceptual simulator v0.1

From recurrence to coherent identity.

Circular multiplication becomes a memory-dependent experiment: six dyads, two canonical Orders, AC stream separation, and the tower that changes each subsequent pass.
Energetic ratio · A/C
1.000
A 0.50 · C 0.50
Coherence deviation · |ln E|
0.000
Lower is closer to Unity
Activated pathway
Γ₁
AA · identity
Coherent identity
AA⁺ 00
Without memory: 00
Memory tower
0 / 5
Feedback: +0.000
01 / Relational geometry

Multiplication circle × E1P cross

Original chord rule i → (i × factor) mod N. The colored cross is a relational overlay, not a fixed physical phase classifier.
f = 2.00
Γ₁ low disorder Γ₂ high disorder six potential dyads
200 connections
02 / Emergent identity

Cycle, recurrence, ascent

A completed phase circuit may advance to AA⁺. Spectral recurrence can continue at the same level; ascent is a separate variable.
h = 0
Closure · ascent Spectra · recurrence Remainder · resistance
03 / Retained history

The five-layer memory tower

Every AC pass deposits a signed imbalance. High disorder prunes the oldest layers, retaining the newest two.

No AC passes recorded yet.
04 / AC separation

Three simultaneous streams

Closure near Unity, Spectra under Active excess, Remainder under Connective excess.

Closure
—
Spectra
—
Remainder
—
Awaiting the first AC separation event.
05 / Causal comparison

Memory on versus memory off

Same external forcing and initial ratio. Only the memory feedback term differs. This comparison tests this prototype’s specified rule.

Memory-enabled system No-memory counterfactual— — Unity at ln E = 0
06 / Experimental controls

Choose a regime

Ready · start factor 2.00
Inspect the illustrative model equations and thresholds

Composition & feedback
ℓ = ln(A/C), M = A+C = 1.5
dℓ/dt = bias + 0.37sin(1.2t+0.35) + 0.16sin(0.48t+1.4) − 0.58ℓ − gain × m̄
m̄ = Σ 0.75^age × ℓ(AC) / Σ 0.75^age
Five most recent AC observations contribute. At high disorder (≥ 0.58), keep the newest two. The orange counterfactual uses the same forcing with the memory term set to zero.

Stream router & identity
K = exp(−(|ℓ|/0.36)²)
S = (1−K) × sigmoid(ℓ/0.16)
R = (1−K) × [1−sigmoid(ℓ/0.16)]
Δh = 1 if K(AC) ≥ 0.59; else 0
T(i) = [i × f_eff] mod 200
These functions and thresholds are prototype choices, not equations extracted from the paper. Stream bars show the last AC pass, while the ratio card shows the current state.