The NKTm Unit in the NKTg Law (Varying Inertia)

math
NKTg = f(x, v, m)
where

x: position [L]

v: velocity [L/T]

m: mass [M]

p = m·v: momentum [M·L/T]

Two main forms:

NKTg₁ = x · p (Position–Momentum interaction)

NKTg₂ = (dm/dt) · p (Mass-variation–Momentum interaction)

Both share the same unit: NKTm.

📐 Dimensional Analysis
From NKTg₁: [M·L²/T]

From NKTg₂: [M²·L/T²]

Comparison with classical units:

Quantity    Unit    Dimension
Force   Newton  [M·L/T²]
Energy  Joule   [M·L²/T²]
Power   Watt    [M·L²/T³]
NKTm₁ NKTm    [M·L²/T]
NKTm₂ NKTm    [M²·L/T²]

🛰️ Verification with NASA Data (Neptune 2023–2024)
Position (x): 4.498e9 km

Velocity (v): 5.43 km/s

Mass (m): 1.0243e26 kg

Momentum (p = m·v): 5.564e26 kg·m/s

Results:

NKTg₁ = x·p ≈ 2.503 × 10³⁶ NKTm

NKTg₂ ≈ -1.113 × 10²² NKTm (assuming micro gas escape)

Total NKTg ≈ 2.501 × 10³⁶ NKTm

🔧 Applications
Astronomy: planetary mass variation, stellar evolution, orbital stability.

Aerospace: rocket trajectory optimization, ion/plasma engines, mass leakage effects.

Earth Sciences: climate modeling, ice melting, sea-level rise, mass redistribution.

Engineering: robotics with variable load, cargo systems, nonlinear vibrations, nanomaterials.

🎯 Why NKTm Matters
A new fundamental measurement unit, independent of Newton or Joule.

Provides a framework for systems with variable mass — beyond Newtonian mechanics or relativity corrections.

Opens new perspectives in cosmology (dark matter, dark energy) and advanced mechanics.

💬 Closing Note
This article aims to clarify the measurement unit of the NKTg Law and show its wide applications — from planetary motion to engineering systems.

My hope is that the developer & science community can see not only the formulas, but also the physical meaning behind them.

🙏 What do you think about introducing a new physical unit like NKTm? Could it be useful for future physics simulations or space exploration models?