fractal_algebra 0.3.8

A library for fractal algebra experimentation
Documentation
//! A conceptual model for a fractal spacetime that can evolve through different states.

/// Represents the state of a point in a simulated universe.
/// The dimensionality is encoded directly in the enum variant.
pub enum SpacetimeCoordinate {
    /// A 1-dimensional reality, defined by a single sequence point.
    Sequential(f64),
    /// A 4-dimensional reality, defined by a point in Minkowski spacetime (t, x, y, z).
    Minkowski(f64, f64, f64, f64),
}

/// A struct that holds the current coordinate state of the simulated spacetime.
pub struct FractalSpacetime {
    pub coordinate: SpacetimeCoordinate,
}

/// A trait for objects that can evolve over time.
pub trait Evolvable {
    type EnergyOutput;
    /// A catastrophic event that transitions a 1D universe to a 4D one, releasing energy.
    fn transition_to_4d(&mut self) -> Self::EnergyOutput;
    /// A single step forward in time.
    fn tick(&mut self);
}

impl Evolvable for FractalSpacetime {
    type EnergyOutput = Vec<f64>; // Represents the primordial waveform

    fn transition_to_4d(&mut self) -> Self::EnergyOutput {
        if let SpacetimeCoordinate::Sequential(initial_state) = self.coordinate {
            self.coordinate = SpacetimeCoordinate::Minkowski(0.0, 0.0, 0.0, 0.0);
            // The energy released is a function of the 1D state, generating a waveform.
            vec![initial_state.sin(), initial_state.cos()] // Placeholder
        } else {
            // If already in 4D, no transition occurs.
            vec![]
        }
    }

    fn tick(&mut self) {
        match &mut self.coordinate {
            SpacetimeCoordinate::Sequential(time) => *time += 1.0,
            SpacetimeCoordinate::Minkowski(time, _, _, _) => *time += 1.0,
        }
    }
}