n_asset_interval.hpp File Reference

Spacetime interval computations for N-asset events. More...

#include "../tensor/n_asset_manifold.hpp"
#include <optional>
#include <span>
#include <vector>
#include <cmath>
#include <Eigen/Dense>

Go to the source code of this file.

Classes
struct	srfm::manifold::NAssetEvent
	A spacetime event: a moment in time with N asset prices. More...
struct	srfm::manifold::IntervalResult
	Result of a single interval computation. More...
class	srfm::manifold::NAssetInterval
	Computes spacetime intervals between N-asset events. More...

Namespaces
namespace	srfm
namespace	srfm::manifold

Enumerations
enum class	srfm::manifold::IntervalType {   srfm::manifold::Timelike , srfm::manifold::Lightlike , srfm::manifold::Spacelike , srfm::manifold::TIMELIKE ,   srfm::manifold::SPACELIKE , srfm::manifold::LIGHTLIKE }
	Classification of a Lorentzian spacetime interval. More...

Variables
constexpr double	srfm::manifold::LIGHTLIKE_THRESHOLD = 1e-10
	|ds²| below this value is classified as LIGHTLIKE.

Detailed Description

Spacetime interval computations for N-asset events.

Module: include/srfm/manifold/ Stage: 4 — N-Asset Manifold

Responsibility

Provide spacetime event types and compute the Lorentzian interval

ds² = g_μν Δx^μ Δx^ν

between pairs of N-asset events, classifying them as TIMELIKE, SPACELIKE, or LIGHTLIKE based on the sign and magnitude of ds².

Classification Thresholds

• |ds²| < 1e-10 → LIGHTLIKE
• ds² < 0 → TIMELIKE
• ds² > 0 → SPACELIKE

Guarantees

• All public methods are noexcept.
• All fallible operations return std::optional.
• No raw pointers.

NOT Responsible For

• Causality enforcement.
• Geodesic distance (see geodesic_n.hpp).

Definition in file n_asset_interval.hpp.