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Special Relativity in Financial Modeling 1.0.0
Lorentz transforms, spacetime classification, and geodesic price paths for quantitative finance
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A point in 4D spacetime (t, x, y, z). More...
#include <spacetime_manifold.hpp>
Public Member Functions | |
| bool | is_finite () const noexcept |
| True iff all coordinates are finite. | |
Public Attributes | |
| double | t {0.0} |
| double | x {0.0} |
| double | y {0.0} |
| double | z {0.0} |
| double | time |
| Market time coordinate (bar index or timestamp) | |
| double | price |
| Price spatial coordinate. | |
| double | volume |
| Volume spatial coordinate. | |
| double | momentum |
| Momentum spatial coordinate. | |
A point in 4D spacetime (t, x, y, z).
In the financial interpretation: t = time index x = price y = volume z = volatility proxy
A single market observation embedded as a 4-vector in financial spacetime.
Coordinates: [0] time — bar index or fractional seconds (market-time axis) [1] price — normalised mid-price (spatial axis 1) [2] volume — normalised traded volume (spatial axis 2) [3] momentum — price momentum indicator, e.g. ROC (spatial axis 3)
Definition at line 82 of file spacetime_manifold.hpp.
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noexcept |
True iff all coordinates are finite.
Definition at line 59 of file spacetime_manifold.cpp.
| double srfm::manifold::SpacetimeEvent::momentum |
Momentum spatial coordinate.
Definition at line 55 of file manifold.hpp.
| double srfm::manifold::SpacetimeEvent::price |
Price spatial coordinate.
Definition at line 53 of file manifold.hpp.
| double srfm::manifold::SpacetimeEvent::t {0.0} |
| double srfm::manifold::SpacetimeEvent::time |
Market time coordinate (bar index or timestamp)
Definition at line 52 of file manifold.hpp.
| double srfm::manifold::SpacetimeEvent::volume |
Volume spatial coordinate.
Definition at line 54 of file manifold.hpp.
| double srfm::manifold::SpacetimeEvent::x {0.0} |
| double srfm::manifold::SpacetimeEvent::y {0.0} |
| double srfm::manifold::SpacetimeEvent::z {0.0} |