manifold.hpp File Reference

Spacetime Market Manifold — AGT-02 public API (implemented by AGT-06). More...

#include "srfm/constants.hpp"
#include <optional>
#include <string>

Go to the source code of this file.

Classes
struct	srfm::manifold::SpacetimeEvent
	A point in 4D spacetime (t, x, y, z). More...
class	srfm::manifold::SpacetimeInterval
class	srfm::manifold::MarketManifold

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 }
	Causal character of a spacetime interval. More...

Functions
const char *	srfm::manifold::to_string (IntervalType t) noexcept
	Convert IntervalType to a human-readable string.

Detailed Description

Spacetime Market Manifold — AGT-02 public API (implemented by AGT-06).

Module: Market Manifold

Responsibility

Embed OHLCV bar data into the 4-dimensional financial spacetime manifold and compute the invariant spacetime interval ds² between market events.

The Core Idea

Each market observation (bar) is treated as a spacetime event with four coordinates: (time, price, volume, momentum). The interval between two events determines whether the market movement is:

• Timelike (ds² < 0): causal, subluminal — the market "moved" at β < 1
• Lightlike (ds² = 0): signal propagation at the speed of information
• Spacelike (ds² > 0): stochastic, superluminal — no causal link possible

Interval Formula

ds² = −c²·Δt² + ΔP² + ΔV² + ΔM²

where c = SPEED_OF_INFORMATION (normalised to 1.0 in natural units).

Guarantees

• All functions are noexcept and return std::optional for fallible ops
• No dynamic allocation
• Thread-safe: all methods are stateless / const

Definition in file manifold.hpp.