srfm::manifold Namespace Reference

Classes
struct	IntervalResult
	Result of a single interval computation. More...
class	MarketManifold
struct	MetricTensor
	Symmetric 4×4 spacetime metric tensor g_{μν}. More...
struct	NAssetEvent
	A spacetime event: a moment in time with N asset prices. More...
class	NAssetInterval
	Computes spacetime intervals between N-asset events. More...
struct	SpacetimeEvent
	A point in 4D spacetime (t, x, y, z). More...
class	SpacetimeInterval
class	SpacetimeManifold

Enumerations
enum class	Regime { Newtonian , Relativistic , HighGamma , Subluminal }
	Market relativistic regime classification. More...
enum class	IntervalType {   Timelike , Lightlike , Spacelike , TIMELIKE ,   SPACELIKE , LIGHTLIKE }
	Causal character of a spacetime interval. More...
enum class	IntervalType {   Timelike , Lightlike , Spacelike , TIMELIKE ,   SPACELIKE , LIGHTLIKE }
	Classification of a Lorentzian spacetime interval. More...

Functions
const char *	to_string (IntervalType t) noexcept
	Convert IntervalType to a human-readable string.
constexpr int	christoffel_index (int lambda, int mu, int nu) noexcept
	Pack (λ, μ, ν) into flat index in [0, 64).

Variables
constexpr int	DIM = 4
	Number of spacetime dimensions.
constexpr int	NUM_CHRISTOFFEL = DIM * DIM * DIM
	Total Christoffel symbols: DIM³ = 64.
constexpr double	LIGHTLIKE_THRESHOLD = 1e-10
	|ds²| below this value is classified as LIGHTLIKE.

Enumeration Type Documentation

IntervalType [1/2]

enum class srfm::manifold::IntervalType

strong

Causal character of a spacetime interval.

Enumerator
Timelike	ds² < 0 — causal market movement (β < c)
Lightlike	ds² ≈ 0 — information propagation at c
Spacelike	ds² > 0 — stochastic regime (no causal link)
TIMELIKE	ds² < 0 (causal separation; price change < time*c_market).
SPACELIKE	ds² > 0 (space-like; price change > time*c_market).
LIGHTLIKE	|ds²| < threshold (on the light cone).

Definition at line 61 of file manifold.hpp.

IntervalType [2/2]

enum class srfm::manifold::IntervalType

strong

Classification of a Lorentzian spacetime interval.

Enumerator
Timelike	ds² < 0 — causal market movement (β < c)
Lightlike	ds² ≈ 0 — information propagation at c
Spacelike	ds² > 0 — stochastic regime (no causal link)
TIMELIKE	ds² < 0 (causal separation; price change < time*c_market).
SPACELIKE	ds² > 0 (space-like; price change > time*c_market).
LIGHTLIKE	|ds²| < threshold (on the light cone).

Definition at line 81 of file n_asset_interval.hpp.

Regime

enum class srfm::manifold::Regime

strong

Market relativistic regime classification.

Enumerator
Newtonian	|β| < 0.1 — classical approximation valid
Relativistic	0.1 ≤ |β| < 0.9 — corrections needed
HighGamma	0.9 ≤ |β| < 0.9999 — extreme Lorentz contraction
Subluminal	Catch-all: |β| ≥ 0 and < BETA_MAX_SAFE.

Examples

/home/runner/work/Special-Relativity-in-Financial-Modeling/Special-Relativity-in-Financial-Modeling/src/engine/engine.hpp, and /home/runner/work/Special-Relativity-in-Financial-Modeling/Special-Relativity-in-Financial-Modeling/src/manifold/spacetime_manifold.hpp.

Definition at line 97 of file spacetime_manifold.hpp.

Function Documentation

christoffel_index()

constexpr int srfm::manifold::christoffel_index ( int  lambda, int  mu, int  nu  )

inlineconstexprnoexcept

Pack (λ, μ, ν) into flat index in [0, 64).

Examples

/home/runner/work/Special-Relativity-in-Financial-Modeling/Special-Relativity-in-Financial-Modeling/src/geodesic/geodesic_solver.hpp.

Definition at line 107 of file spacetime_manifold.hpp.

to_string()

const char * srfm::manifold::to_string ( IntervalType  t )

noexcept

Convert IntervalType to a human-readable string.

Definition at line 13 of file spacetime_interval.cpp.

Variable Documentation

DIM

constexpr int srfm::manifold::DIM = 4

inlineconstexpr

Number of spacetime dimensions.

Examples

/home/runner/work/Special-Relativity-in-Financial-Modeling/Special-Relativity-in-Financial-Modeling/src/geodesic/geodesic_solver.hpp, and /home/runner/work/Special-Relativity-in-Financial-Modeling/Special-Relativity-in-Financial-Modeling/src/manifold/spacetime_manifold.hpp.

Definition at line 40 of file spacetime_manifold.hpp.

LIGHTLIKE_THRESHOLD

constexpr double srfm::manifold::LIGHTLIKE_THRESHOLD = 1e-10

inlineconstexpr

|ds²| below this value is classified as LIGHTLIKE.

Definition at line 47 of file n_asset_interval.hpp.

NUM_CHRISTOFFEL

constexpr int srfm::manifold::NUM_CHRISTOFFEL = DIM * DIM * DIM

inlineconstexpr

Total Christoffel symbols: DIM³ = 64.

Examples

/home/runner/work/Special-Relativity-in-Financial-Modeling/Special-Relativity-in-Financial-Modeling/src/geodesic/geodesic_solver.hpp, and /home/runner/work/Special-Relativity-in-Financial-Modeling/Special-Relativity-in-Financial-Modeling/src/manifold/spacetime_manifold.hpp.

Definition at line 43 of file spacetime_manifold.hpp.