Reactive Substrate Theory (RST) — Glossary

Reactive Substrate Theory (RST) — Complete Glossary

This glossary collects all major terms used across the RST series so far. Each entry is written for clarity and consistency, providing readers with a reference point as the theory expands into substrate mechanics, soliton physics, tension geometry, and the RST periodic table.

A

Atomic Soliton
A stable, self-reinforcing configuration of Substrate displacement representing an atom’s nucleus and electron-like standing waves. The atomic soliton is the source of an element’s Substrate Reaction Geometry (SRG).

B

Bandwidth (Substrate Reaction Bandwidth)
The finite capacity of the Substrate to update, react, and maintain soliton structures. High tension or complex SRGs consume more bandwidth, leading to effects such as time dilation and nonlinear behavior.

C

Curvature Response (FR(C[Ψ]))
A term in the RST master equation describing how soliton curvature influences local substrate tension. It encodes the internal geometry of matter waves.

D

Directional SRG
An SRG with distinct tension lobes or preferred bonding directions, typical of p‑block elements such as carbon, nitrogen, and oxygen.

E

Emergent Tension Geometry
The combined tension pattern formed when multiple SRGs overlap to create a molecule. Determines molecular shape, polarity, and stability.

F

Finite Reaction Speed (c)
The maximum speed at which the Substrate can propagate tension changes. Analogous to the speed of light but interpreted mechanically.

G

Gravity (RST Interpretation)
A refraction effect caused by gradients in substrate tension and density. Waves curve toward regions of slower substrate reaction speed, producing gravitational acceleration.

I

Interference Shell
A standing-wave pattern in the Substrate corresponding to electron-like orbitals. These shells shape the outer structure of an atom’s SRG.

L

Lattice SRG
A delocalized tension network formed by overlapping SRGs in metals. Responsible for conductivity, malleability, and metallic bonding.

M

Molecular SRG
The global Substrate Reaction Geometry formed when atoms bond. Represents the nonlinear superposition of atomic SRGs.

Master Equation (RST)
The core dynamical equation governing Substrate displacement: 

∂²ₜ S − c² ∇²S + β S³ = σ(x,t) · F_R(C[Ψ])

It describes how solitons, tension, and nonlinear substrate response interact.

N

Nonlinear Response (β S³)
A cubic term in the RST equation representing the Substrate’s nonlinear restoring force. Dominant in strong-field regions and heavy elements.

Noble Gas SRG
A closed, symmetric SRG with minimal external tension gradients. Explains noble gas inertness in RST.

P

Periodic Tension Classes
RST’s classification of elements based on SRG geometry:

  • Class I — Simple radial SRGs
  • Class II — Directional SRGs
  • Class III — Lattice SRGs
  • Class IV — Closed-shell SRGs
  • Class V — Nonlinear multi-layer SRGs

Poisson-like Limit
The weak-field approximation of the RST equation where tension gradients behave like gravitational or electrostatic potentials.

S

Substrate
The reactive medium underlying all physical phenomena in RST. Supports tension, solitons, wave propagation, and nonlinear interactions.

Substrate Density
Local compression or rarefaction of the Substrate. Higher density reduces reaction speed and increases effective refractive index.

Substrate Reaction Geometry (SRG)
The unique tension pattern an atom imprints on the Substrate. Defines its bonding behavior, periodic classification, and emergent properties.

Substrate Tension (T⃗)
A vector field defined as T⃗ = μ c² ∇S. Represents the mechanical tension generated by gradients in Substrate displacement.

T

Tension Gradient
Spatial variation in substrate tension. Drives refraction, bonding, and gravitational-like behavior.

Time Dilation (RST Interpretation)
A reduction in local substrate reaction bandwidth near high-tension regions, slowing all processes dependent on substrate updates.

W

Weak-Field Limit
The regime where nonlinear terms are small and SRGs behave like classical potential fields. Useful for approximating gravitational and chemical behavior.

This glossary will expand as RST evolves into new domains such as cosmology, materials science, and nonlinear soliton chemistry.

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