srfm::manifold::SpacetimeManifold Class Reference

#include <spacetime_manifold.hpp>

Public Member Functions
	SpacetimeManifold () noexcept=default
std::optional< Regime >	process (const SpacetimeEvent &event) const noexcept
	Classify a spacetime event into a relativistic regime.
std::array< double, NUM_CHRISTOFFEL >	christoffelSymbols (const MetricTensor &metric) const noexcept
	Compute all 64 Christoffel symbols Γ^λ_μν via finite differences.
MetricTensor	flatMetric () const noexcept
	Return the flat Minkowski metric.

Detailed Description

Definition at line 127 of file spacetime_manifold.hpp.

Constructor & Destructor Documentation

SpacetimeManifold()

srfm::manifold::SpacetimeManifold::SpacetimeManifold ( )

defaultnoexcept

Examples

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

Member Function Documentation

christoffelSymbols()

std::array< double, NUM_CHRISTOFFEL > srfm::manifold::SpacetimeManifold::christoffelSymbols ( const MetricTensor &  metric ) const

noexcept

Compute all 64 Christoffel symbols Γ^λ_μν via finite differences.

Uses central finite differences on the metric at the origin: ∂g_{μν}/∂x^λ ≈ (g(x+ε·eλ) − g(x−ε·eλ)) / (2ε)

For a constant (flat) metric all derivatives are machine-zero, so all 64 symbols are < 1e-8 in absolute value.

The metric callback signature: MetricCallback: (const std::array<double,DIM>&) → MetricTensor A null-like constant metric simply returns the same MetricTensor regardless of position.

Parameters

metric

The metric tensor at the origin (flat or curved).

Returns

std::array<double, 64> of Γ^λ_μν values (row-major λ,μ,ν). Returns array of zeros if metric inverse cannot be computed.

Examples

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

Definition at line 84 of file spacetime_manifold.cpp.

flatMetric()

MetricTensor srfm::manifold::SpacetimeManifold::flatMetric ( ) const

noexcept

Return the flat Minkowski metric.

Convenience wrapper around MetricTensor::minkowski().

Examples

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

Definition at line 141 of file spacetime_manifold.cpp.

process()

std::optional< Regime > srfm::manifold::SpacetimeManifold::process ( const SpacetimeEvent &  event ) const

noexcept

Classify a spacetime event into a relativistic regime.

Uses x-coordinate as a proxy for normalised velocity |β|: β_proxy = tanh(|x| / (|x| + 1.0)) (maps R⁺ → [0,1))

Returns

Regime, or std::nullopt if event coordinates are non-finite.

Examples

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

Definition at line 67 of file spacetime_manifold.cpp.

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The documentation for this class was generated from the following files:

• src/manifold/spacetime_manifold.hpp
• src/manifold/spacetime_manifold.cpp