Hello fellow BEAM enthusiasts,

I’d like to introduce a conceptual idea I’ve been developing, which I call NKTg Law. It’s a physics-inspired framework aimed at modeling how an entity’s motion tendency shifts when its mass varies over time—something that could map well into Elixir/Erlang architectures, especially for distributed systems needing dynamic behaviour (e.g., actor systems with changing load, battery mechanics in games, scalable simulations).

NKTg Law – Conceptual Overview

I define two core values:

• NKTg₁ = x × p, where:
  • x = position or displacement metric,
  • p = m × v = linear momentum (mass * velocity).
  • Interpretation:
    • NKTg₁ > 0 → object tends to move away from equilibrium (amplifying motion).
    • NKTg₁ < 0 → object tends to move toward equilibrium (stabilizing).
• NKTg₂ = (dm/dt) × p, where:
  • dm/dt = rate of change of mass.
  • Interpretation:
    • NKTg₂ > 0 → mass change supports motion (like growth or power-up).
    • NKTg₂ < 0 → mass change resists motion (like draining resources).

Why It Might Be Useful for Elixir/BEAM Patterns

• The BEAM excels at modeling concurrent, stateful processes—each could track its own x, v, m, dynamically adjusted in real-time.
• This could empower novel features:
  • Adaptive rate limiting: processes slow down as their “mass” (load) increases.
  • Self-throttling workflows: nodes in a cluster reduce throughput under heavy resource exhaustion.
  • Game mechanics: actors that gain momentum as they “power up” (mass ↑) or slow when “hurt” (mass ↓).

Questions for the Community

1. Has anyone used Elixir/OTP to model systems with dynamic “mass” or weight affecting behavior? What patterns did you use (GenServer, GenStage, Flow, etc.)?
2. Would it make sense to encapsulate dm/dt and momentum logic into a reusable module or behaviour, rather than peppering logic across individual processes?
3. Do you have ideas for visualizing or monitoring these dynamics—perhaps via :telemetry, custom dashboards, or observability tools?
4. Would you be interested in sample code implementing a simple Elixir GenServer that updates NKTg₁ and NKTg₂ each handle_info(:tick, state)?

I’d love to hear your feedback or pointers to similar mechanics—especially any distributed systems concepts using BEAM that factor in changing resource usage or adaptive behavior.

Looking forward to your thoughts!

— NKTgLaw