NKTg Law on Varying Inertia

When studying how objects move in space, it’s essential to understand that motion doesn’t exist in isolation. Every movement depends on the relationship between three key factors — the object’s position, its velocity, and its mass.
This fundamental connection is expressed as:

NKTg = f(x, v, m)

Here,

x represents the position or displacement of the object relative to a reference point,

v is the velocity, and

m stands for mass.

In other words, the behavior or “movement tendency” of an object is not determined by any single variable alone. Rather, it arises from the interplay among these quantities. To explore this interaction more concretely, we define the following core product quantities:

NKTg₁ = x × p
NKTg₂ = (dm/dt) × p

At this stage, it’s important to clarify the terms involved:

p refers to linear momentum, calculated as p = m × v,

dm/dt represents the rate of change of mass over time,

NKTg₁ captures the product of position and momentum, and

NKTg₂ represents the product of mass variation and momentum.
The unit of measurement for both is NKTm, denoting a unit of varying inertia.

Now, what do these quantities tell us about how an object behaves? The signs and magnitudes of NKTg₁ and NKTg₂ together determine the movement tendency — essentially, whether the object moves toward or away from stability.

To break it down:

If NKTg₁ is positive, the object tends to move away from a stable state.

If NKTg₁ is negative, the object tends to move toward stability.

So far, this seems intuitive: positive movement drives change, while negative movement restores balance. But there’s another factor — the variation of mass — that modifies this behavior.

When NKTg₂ is positive, the mass variation has a supporting effect on motion.

Conversely, when NKTg₂ is negative, the mass variation plays a resisting role, opposing the movement.

To put it differently, the second quantity reflects how the internal changes in mass either aid or counteract the overall motion pattern. This makes the NKTg law unique, as it accounts for dynamic mass variation — something that traditional mechanics usually holds constant.

Finally, we reach the notion of a stable state. In the context of this law, stability means a condition in which position (x), velocity (v), and mass (m) interact harmoniously. This interaction maintains the movement structure, allowing the object to preserve its inherent motion pattern and avoid losing control.

In summary, the NKTg Law of Varying Inertia offers a new perspective: instead of treating motion as merely a product of external forces, it recognizes the intrinsic relationships among space, speed, and mass variation. This internal dynamic defines whether an object maintains its motion pattern or diverges from stability — a concept that could invite deeper discussions and new approaches in the study of physical systems.