RST v1.0: One-Page Executive Summary for Physicists
RST v1.0: One-Page Executive Summary for Physicists
Reactive Substrate Theory (RST) v1.0 is a minimal, classical field-theoretic framework proposing that spacetime geometry, gravitational effects, and quantum observables emerge from the dynamics of a single continuous scalar substrate field S(x,t), coupled to a coherence field Ψ(x,t). RST does not reject General Relativity (GR) or Quantum Mechanics (QM); it reinterprets them as effective descriptions arising in specific dynamical limits of the substrate system.
Core Equations (v1.0 Minimal Closure)
∂²ₜ S − c²∇²S + βS³ = σ(x,t) · |Ψ|²
∂²ₜ Ψ − v²∇²Ψ + μΨ + λ|Ψ|²Ψ = κSΨ
- S(x,t): substrate tension / geometry field
- Ψ(x,t): coherence (matter) field
- |Ψ|²: conserved density corresponding to QM probability
Key Claims
- Weak-field GR is recovered via a perturbative mapping Φ ∝ (S − S̄)
- Quantum observables arise from Ψ via standard |Ψ|² interpretation
- No dark matter or dark energy components are assumed
- No quantization of spacetime or gravity is required at v1.0
Status
RST v1.0 is a closed, minimal model intended for numerical exploration and observational comparison. Claims are restricted to regimes already well-tested by GR and QM.
RST v1.0: Numerical Simulation Starter Kit
This section outlines the minimal numerical framework required to simulate RST v1.0 and test its stability, correspondence, and soliton behavior.
Simulation Objectives
- Verify stability of coupled S–Ψ system
- Identify localized soliton solutions
- Confirm energy conservation
- Test weak-field correspondence to GR
Recommended Setup
- Dimensionality: 1D or 2D (initial exploration)
- Spatial discretization: finite difference or spectral methods
- Time stepping: leapfrog / Verlet (second-order accuracy)
Initial Conditions
- Ψ(x,0): Gaussian packet or seeded soliton
- ∂ₜΨ(x,0): 0
- S(x,0): uniform background S̄
- ∂ₜS(x,0): 0
Diagnostics to Track
- Total energy of S and Ψ fields
- Ψ localization width and peak amplitude
- Substrate deformation depth (S − S̄)
- Long-time stability or dispersion
Minimal Success Criteria
- Existence of stable, localized Ψ excitations
- Finite, bounded substrate response
- No runaway energy growth
RST v1.0: FAQ for Skeptical Reviewers
Is this an alternative to General Relativity?
No. RST treats GR as an effective macroscopic description of substrate dynamics in the weak-field limit. RST must reproduce GR where GR is experimentally confirmed.
Is this quantum gravity?
No. RST does not quantize spacetime. Quantum behavior arises from the coherence field Ψ; gravity emerges from substrate gradients.
Does RST violate locality or causality?
No. Signal propagation in both S and Ψ is bounded by characteristic speeds (c and v). Nonlocal correlations arise from shared substrate state, not superluminal signaling.
Why a scalar substrate?
The scalar form represents a minimal starting point. Additional structure (tensorial response, anisotropy) is deferred to v1.1 if empirically required.
Is dark matter ruled out?
No. RST proposes an alternative mechanism for phenomena commonly attributed to dark matter. If dark matter is independently confirmed, RST would incorporate it as a source term.
What would falsify RST?
Failure to reproduce known GR/QM limits, lack of predicted residuals at higher precision, or numerical instability of the coupled equations would falsify v1.0.
Why should this be taken seriously?
RST v1.0 is mathematically explicit, empirically constrained, falsifiable, and numerically testable. It is offered as a framework for evaluation, not belief.
