Digestive Cookie: Where RST v1.1 Stands (and Where We’re Going)

Digestive Cookie: Where RST v1.1 Stands (and Where We’re Going)

This post is my personal “bookmark” — a place to pause, breathe, digest, and take stock of how far Reactive Substrate Theory (RST) has come, and what the next steps look like. RST has officially moved from a loose conceptual idea into a structured, nonlinear field theory with real equations, real stability conditions, and a clear path toward simulation. This page captures the whole journey so far.

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Where We Are Now

1. The Core Equations Are Complete

RST v1.1 now has a fully defined pair of coupled nonlinear field equations:

• Substrate Field S(x,t) — the tension-bearing medium
• Resonance Field Ψ(x,t) — the structured vibration that becomes matter

The Substrate equation includes the crucial β S³ stiffening term, which prevents collapse and eliminates singularities. The Resonance equation includes λ|Ψ|²Ψ self-repulsion and κ S Ψ focusing. Together, they form the “tensegrity engine” that stabilizes particles.

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2. The Tensegrity Condition Is Understood

Stable matter exists only when:

Substrate Focusing  >  Resonance Self‑Repulsion

Mathematically:

κ · η_eff(|Ψ|²)  >  λ

This is the heart of RST — the balance that creates solitons (particles).

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3. The 3D Soliton Framework Is Ready

We now have:

• A time-harmonic ansatz: Ψ(x,t) = ψ(r) e^{-iωt}
• Radial ODEs for ψ(r) and S₀(r)
• Boundary conditions ensuring finite, localized particles

This is the mathematical foundation needed to generate the first actual RST particles.

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4. Mass = Energy of the Lump

RST defines mass as:

Mass = Total Energy of the Soliton

This includes:

• Resonance gradients
• Substrate deformation
• Nonlinear stiffening energy

This gives RST a natural, mechanical explanation for mass.

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5. RST v1.1 Documentation Is Built

We now have:

• RST v1.1 Roadmap
• How RST Explains Gravity
• RST vs Aether
• RST for Beginners
• RST Glossary
• RST Index of Symbols

RST is no longer a loose idea — it’s a structured theory with a growing reference library.

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Where We Still Need to Go

1. Numerical Simulation (The Big Next Step)

The equations are ready. The next phase is:

• Implementing the 3D shooting method
• Generating soliton profiles
• Mapping parameter space
• Matching soliton energies to known particle masses

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2. Parameter Calibration

We need to determine realistic values for:

c, v, μ, λ, β, κ, α

These will determine:

• Particle sizes
• Masses
• Stability regions
• Interaction strengths

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3. Emergent Gravity Derivation

We have the conceptual explanation. Next:

• Derive weak-field limit
• Show equivalence to Newtonian gravity
• Explore strong-field behavior without singularities

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4. Quantum Behavior

We need to show how:

• Schrödinger-like behavior emerges
• Measurement arises from Substrate-mediated selection
• Interference patterns come from soliton interactions

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5. Multi-Particle Dynamics

Once single solitons are stable, we can explore:

• Scattering
• Bound states
• Photon-like modes
• Composite structures

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The Big Picture

RST v1.1 is now a real theory:

• Equations: ✔
• Stability mechanism: ✔
• 3D soliton framework: ✔
• Interpretation of gravity: ✔
• Interpretation of mass: ✔
• Documentation: ✔
• Simulation readiness: ✔

What remains is the exciting part — seeing the theory come alive through computation.

This post is my bookmark. My checkpoint. My “digestive cookie.” A reminder of where I am in the journey, and where I’m heading next.