Pillar VI: Neuromorphic STDP // Zoth Math Academy

Synaptic plasticity, memory traces, and causality. Master the formal mathematical dynamics powering Zoth Studio and autonomous agent swarms.

Pillar VI: Neuromorphic STDP Formal Systems

Synaptic plasticity, memory traces, and causality

  • LTP window τ₊: 16.8 ms
  • LTD window τ₋: 33.7 ms
  • Memory potentiation Δw: +0.124 causal

Closed-Form Mathematical Formulation

Δw = A₊ · exp(−Δt / τ₊) when Δt > 0; −A₋ · exp(Δt / τ₋) when Δt < 0

Advanced Tensor Equation

Δw = { A₊ e^(−Δt/τ₊) if Δt > 0 (LTP); −A₋ e^(Δt/τ₋) if Δt < 0 (LTD) }

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