Introducing the NKTg Law: A Simulation of Variable Inertia in C

[NKTgLaw]

Hello everyone,

I?d like to share a new conceptual physics law called the NKTg Law, which introduces a modified understanding of inertia where mass is no longer considered constant over time. This idea has emerged from re-examining planetary motion and interpreting NASA?s data on Earth?s mass variation.

According to the NKTg Law, momentum and position are not sufficient to fully describe motion if the mass of an object changes over time. We introduce two new quantities:

NKTg1 = x ? p (position ? momentum)

NKTg2 = (dm/dt) ? p (mass change rate ? momentum)

Where:

x is position (in km)

v is velocity (in km/s)

m is mass (in kg)

p = m ? v is momentum

dm/dt is the mass loss rate (in kg/s)

🔧 Simple C Simulation Code

#include <stdio.h>

typedef struct {
    float x;        // position in km
    float v;        // velocity in km/s
    float m;        // mass in kg
    float dm_dt;    // mass change rate in kg/s
} Body;

void simulate_nktg(Body b) {
    float p = b.m * b.v;             // momentum
    float NKTg1 = b.x * p;           // position ? momentum
    float NKTg2 = b.dm_dt * p;       // mass change rate ? momentum

    printf("p = %.2e kg?km/s\n", p);
    printf("NKTg1 = x?p = %.2e km?kg?km/s\n", NKTg1);
    printf("NKTg2 = (dm/dt)?p = %.2e kg??km/s?\n", NKTg2);
}

int main() {
    Body earth = {
        .x = 1.496e+8,       // Distance to Sun (km)
        .v = 29.78,          // Orbital speed (km/s)
        .m = 5.972e+24,      // Earth mass (kg)
        .dm_dt = -2.4e+11    // Estimated annual mass loss (kg/year → simplified)
    };

    simulate_nktg(earth);
    return 0;
}

🧪 Example Output
p = 1.78e+26 kg?km/s
NKTg1 = x?p = 2.67e+34 km?kg?km/s
NKTg2 = (dm/dt)?p = -4.28e+37 kg??km/s?

📌 Notes
This is a simplified simulation using approximate Earth values.

The idea is to model systems where mass is not constant (e.g. evaporation, radiation, or cosmic systems).

The code can be extended to compute over time intervals and apply numerical methods.

🤝 Discussion
Has anyone modeled similar physical systems with variable mass?

Would this concept conflict with classical Newtonian assumptions in orbital mechanics?

Any improvements to the simulation structure are welcome.

Thanks for reading! Feedback is appreciated.