Similar Projects

1. https://en.wikipedia.org/wiki/Synthetic_Environment_for_Analysis_and_Simulations
2. GADGET - 2 - https://wwwmpa.mpa-garching.mpg.de/gadget
3. Enzo Proejct - https://enzo-project.org
4. Ramses - https://github.com/miried/ramses
5. Flamingo Project - https://flamingo.strw.leidenuniv.nl/
6. Eagle Project - https://icc.dur.ac.uk/Eagle/

Open Source

1. Open Space - https://www.openspaceproject.com/
2. Simulating the Universe in TensorFlow - https://blog.tensorflow.org/2020/03/simulating-universe-in-tensorflow.html
3. Gaiasky - https://codeberg.org/gaiasky/gaiasky

Physics Engines

Attempting to replicate all the laws of physics and other realities into a simulation by hand is about having a real world mirror for A.I. to test and train against. Both engineering and physiology. Physics engines come in two types, general and specialised. Such as

1. PhysX: Powerful engine from NVIDIA, offering advanced features like fluid dynamics and vehicle simulation, but has a commercial license.
2. Bullet Physics: Open-source, widely used, good for various simulations, including rigid bodies, soft bodies, constraints, and vehicles.
3. SPHysics: Open-source, particle-based fluid simulator, well-suited for complex fluid interactions.
4. Newton: Powerful soft body engine with robust features and a focus on realistic deformable object simulation.

Emergence of the Universe

The universe, the laws of physics, did not come about through a process of hard-coding rules in the way we might write computer code. Instead, this type of thinking is a fundamental code that propagates over iteration into a state of the universe. Evolving from a fundamental piece of code. This analogy helps to illustrate how complex systems can emerge from simple, foundational principles through iterative processes.

Example of a time-stepping loop as the basis of many simulation codes.

#include stdio.h

// Function to initialize the system with initial conditions
void initialize_system() {
    // Example of setting initial conditions
    printf("Initializing system...\n");
    // Initialization code here (e.g., setting initial positions, velocities, etc.)
}

// Function to calculate the next state based on the laws of physics
void calculate_next_state() {
    // Example of calculating the next state
    // This would include physics calculations such as updating positions, velocities, etc.
    printf("Calculating next state...\n");
    // Calculation code here
}

int main() {
    // Set initial conditions
    initialize_system();

    // Set simulation parameters
    double total_time = 100.0;  // Total simulation time in arbitrary units
    double time_step = 0.1;     // Time step size in the same units

    // Main simulation loop
    double current_time = 0.0;
    while (current_time < total_time) {
        // Calculate the next state based on the laws of physics
        calculate_next_state();

        // Update current time
        current_time += time_step;
    }

    printf("Simulation complete.\n");
    return 0;
}

As 99% of the universe is electromagnetism, the universe is more like algebra. A path between two potentials, a starting value, an ending value and guided permutations. For example, a swamp and a predator equals an alligator. Where a and c are the condition for b to arise.

a+c→b
swamp+predator→alligator
start condition + end Condition → x

This equation suggests that the combination of a and c leads to the emergence and transformation of b. An animation of a difference rather than a traditional evolutionary algorithm. Some abstract product between two states caused by the identity of those two states. When human beings build a car it is driven by electromagnetism, a need to transport results in a motorised car is a lightning bolt between two cases, the potential need for transport and an adventure into invention. This is the path of the lightning bolt, and each time it makes ground, it is a completed circuit. The programming language of the universe is paths, the paths between two states form the circuit and the solution for that particular problem. Similarly, the universe emerges using that language. That is the code to put into the simulation code that at some iteration spawn the universe as we know it, to some probability.

Retraining is learning and synthetic data generation space.

An LLM is in a space where it generates synthetic data and then re-trains itself.

1. https://github.com/AkshitIreddy/Interactive-LLM-Powered-NPCs

Self re-training and self-generation of synthetic data. That would be learning.

Grounding would be in a space where physical laws apply, so a simulation would have a grounding for quality. Level of proficieny aside at some stage its design is to hack reality.

Another Version

#include <stdio.h>
#include <math.h>

// Constants
#define G 6.67430e-11  // Gravitational constant
#define NUM_PARTICLES 3  // Number of particles in the system

// Structure to represent a particle
typedef struct {
    double x;       // x position
    double y;       // y position
    double vx;      // x velocity
    double vy;      // y velocity
    double mass;    // mass
} Particle;

// Array to hold the particles
Particle particles[NUM_PARTICLES];

// Function to initialize the system with initial conditions
void initialize_system() {
    // Set initial conditions for each particle
    particles[0] = (Particle){0.0, 0.0, 0.0, 0.0, 1.0e5};  // Central massive particle
    particles[1] = (Particle){100.0, 0.0, 0.0, 10.0, 1.0}; // Orbiting particle
    particles[2] = (Particle){-100.0, 0.0, 0.0, -10.0, 1.0}; // Another orbiting particle
    
    printf("System initialized with %d particles.\n", NUM_PARTICLES);
}

// Function to calculate the next state based on the laws of physics
void calculate_next_state(double time_step) {
    for (int i = 0; i < NUM_PARTICLES; i++) {
        double ax = 0.0;
        double ay = 0.0;

        // Calculate gravitational forces from other particles
        for (int j = 0; j < NUM_PARTICLES; j++) {
            if (i != j) {
                double dx = particles[j].x - particles[i].x;
                double dy = particles[j].y - particles[i].y;
                double distance = sqrt(dx * dx + dy * dy);
                double force = (G * particles[i].mass * particles[j].mass) / (distance * distance);
                ax += force * dx / distance / particles[i].mass;
                ay += force * dy / distance / particles[i].mass;
            }
        }

        // Update velocities based on acceleration
        particles[i].vx += ax * time_step;
        particles[i].vy += ay * time_step;
    }

    // Update positions based on velocities
    for (int i = 0; i < NUM_PARTICLES; i++) {
        particles[i].x += particles[i].vx * time_step;
        particles[i].y += particles[i].vy * time_step;
    }
}

int main() {
    // Initialize the system
    initialize_system();

    // Set simulation parameters
    double total_time = 1000.0;  // Total simulation time in arbitrary units
    double time_step = 1.0;      // Time step size in the same units

    // Main simulation loop
    double current_time = 0.0;
    while (current_time < total_time) {
        // Calculate the next state based on the laws of physics
        calculate_next_state(time_step);

        // Update current time
        current_time += time_step;
    }

    return 0;

}
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Another

#include <stdio.h>
#include <math.h>

// Constants
#define G 6.67430e-11  // Gravitational constant
#define NUM_PARTICLES 3  // Number of particles in the system
#define INITIAL_TEMPERATURE 1.0e32  // Initial temperature in Kelvin
#define INITIAL_SCALE_FACTOR 1.0e-15  // Initial scale factor (arbitrary units)
#define TOTAL_TIME 1000.0  // Total simulation time in arbitrary units
#define TIME_STEP 1.0  // Time step size in the same units

// Structure to represent a particle
typedef struct {
    double x;       // x position
    double y;       // y position
    double vx;      // x velocity
    double vy;      // y velocity
    double mass;    // mass
} Particle;

// Array to hold the particles
Particle particles[NUM_PARTICLES];

// Function to initialize the system with initial conditions
void initialize_system() {
    // Primordial state initialization
    double temperature = INITIAL_TEMPERATURE;
    double scale_factor = INITIAL_SCALE_FACTOR;

    // Inflationary epoch
    scale_factor *= 1.0e30;

    // Symmetry breaking
    temperature *= 1.0e-15;

    // Particle formation
    particles[0] = (Particle){0.0, 0.0, 0.0, 0.0, 1.0e5};  // Central massive particle
    particles[1] = (Particle){100.0, 0.0, 0.0, 10.0, 1.0}; // Orbiting particle
    particles[2] = (Particle){-100.0, 0.0, 0.0, -10.0, 1.0}; // Another orbiting particle
    printf("System initialized.\n");
}

// Function to calculate the next state based on the laws of physics
void calculate_next_state() {
    // Gravitational interaction calculations
    for (int i = 0; i < NUM_PARTICLES; i++) {
        double ax = 0.0;
        double ay = 0.0;

        // Calculate gravitational forces from other particles
        for (int j = 0; j < NUM_PARTICLES; j++) {
            if (i != j) {
                double dx = particles[j].x - particles[i].x;
                double dy = particles[j].y - particles[i].y;
                double distance = sqrt(dx * dx + dy * dy);
                double force = (G * particles[i].mass * particles[j].mass) / (distance * distance);
                ax += force * dx / distance / particles[i].mass;
                ay += force * dy / distance / particles[i].mass;
            }
        }

        // Update velocities based on acceleration
        particles[i].vx += ax * TIME_STEP;
        particles[i].vy += ay * TIME_STEP;
    }

    // Update positions based on velocities
    for (int i = 0; i < NUM_PARTICLES; i++) {
        particles[i].x += particles[i].vx * TIME_STEP;
        particles[i].y += particles[i].vy * TIME_STEP;
    }

    printf("Next state calculated.\n");
}

int main() {
    // Set initial conditions
    initialize_system();

    // Main simulation loop
    double current_time = 0.0;
    while (current_time < TOTAL_TIME) {
        // Calculate the next state based on the laws of physics
        calculate_next_state();

        // Update current time
        current_time += TIME_STEP;
    }

    return 0;
}
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