Reactive Substrate Theory and Neutron-Star Mergers: A Deep Analysis

Reactive Substrate Theory and Neutron-Star Mergers: A Deep Analysis

The neutron-star-merger simulation provides a remarkable opportunity to examine how Reactive Substrate Theory (RST) interprets extreme astrophysical events. Although the video is framed in General Relativity (GR) and magnetohydrodynamics (MHD), the behaviors shown align strikingly with RST’s predictions about nonlinear wave-medium dynamics, compression-driven reactions, and jet formation.

1. Inspiral and Wave Emission

As the neutron stars orbit each other, the simulation shows energy radiating outward as gravitational waves. RST agrees with the phenomenon but interprets it differently: these are Substrate waves produced by extreme compression and acceleration. The terms (∂t²S − c²∇²S) describe the outward-propagating wavefronts, while σ(x,t)⋅FR(C[Ψ]) increases as compression intensifies.

2. Merger Compression and Nonlinear Reaction

When the stars collide, the Substrate experiences enormous compression C[Ψ]. RST predicts a spike in FR(C[Ψ]), rapid nonlinear amplification via βS³, and a transition toward a saturated, low-reactivity state. This matches the simulation’s depiction of a sudden collapse into a black hole.

3. Magnetic-Field Amplification

The video highlights dramatic magnetic-field amplification. RST interprets this as nonlinear self-interaction of the Substrate field, driven by the βS³ term and regulated by bandwidth-limited saturation through FR(C[Ψ]).

4. Jet Formation

The simulation shows a powerful jet emerging along the rotational axis. In RST, rotation creates anisotropic compression C[Ψ], σ(x,t) injects energy into the Substrate, and nonlinear terms collimate the outflow. Jets are reactive wave-channels formed by the medium itself.

5. Jet Delay and Bandwidth-Limited Equilibration

The delay between merger and jet formation is naturally explained by the RST reaction law: dA/dt = (1/τ)(Aeq − A). The Substrate must reach equilibrium amplitude before a stable jet can form, and the reaction time τ sets the delay.

6. Conclusion

The simulation demonstrates nonlinear wave propagation, compression-driven reactions, magnetic amplification, jet collimation, horizon formation, and bandwidth-limited equilibration. These are all core RST behaviors. While the simulation uses GR/MHD language, the underlying physics aligns more naturally with RST’s mechanical medium.

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