CORRECTIONS.md

CORRECTIONS

Author: Justin K. Lietz ORCID: 0009-0008-9028-1366
Contact: justin@neuroca.ai

Created: August 9, 2025
Updated: August 9, 2025

This research is protected under a dual-license to foster open academic research while ensuring commercial applications are aligned with the project's ethical principles. Commercial use requires written permission from the author..

See LICENSE file for full terms.

Date (UTC): 2025-08-20

Scope: Tier-0 correctness fixes (numerics, stability narrative) and unification to a single canonical model class (reaction-diffusion, RD). EFT/KG material retained but quarantined as “Future Work.”

Summary (before → after)

• VDM_Overview.md

  • Before: Mixed RD/EFT claims; no explicit canonical model.
  • After: Canonical RD banner + mapping (D = J a² or (J/z) a²; r = α − β; u = α), stability note, EFT scoped to future work.

• write_ups/foundations/discrete_to_continuum.md

  • Before: Objective stated convergence to KG; D mapping not explicit.
  • After: Objective states RD mapping as primary; explicit D mapping (D = J a² or (J/z) a²); EFT derivation quarantined to EFT doc.

• write_ups/memory_steering/memory_steering_acceptance_verification.md

  • Before: Hardwired EFT vacuum/mass invariants in main text.
  • After: RD is canonical; EFT invariants referenced only to EFT doc; removed back-solving (α,β) from (v,m_eff) in RD narrative.

• write_ups/foundations/symmetry_analysis.md

  • Before: Text implied “false/true vacuum” using EFT values in a general context.
  • After: Clarified RD vs EFT contexts; RD fixed point W* = r/u (r>0) vs EFT vacuum v = 1 − β/α as future-work.

• write_ups/effective_field_theory/effective_field_theory_approach.md

  • Before: No scope banner.
  • After: Quarantine banner; note m_eff = √(α−β) is parameter-dependent and unitized via τ.

• write_ups/foundations/void_dynamics_theory.md

  • Before: No scope note; mixed RD/EFT implications.
  • After: Scope note at top; references discrete-action derivation for c² = 2 J a².

• write_ups/effective_field_theory/vdm_voxtrium_mapping.md

  • Before: Referred to EFT EOM as dimensionless default.
  • After: RD mapping made canonical; EFT equation kept for EFT context only.

Numeric Corrections

• m_eff is not a universal constant; it is m_eff = √(α−β).
  • Example calibrations:
    • α = 0.25, β = 0.10 → m_eff ≈ 0.387
    • α = 1.0, β = 0.40 → m_eff ≈ 0.7746

All fixed-number statements were replaced with parameter-dependent forms and example mappings.

Stability Narrative Corrections

• For RD (canonical): φ = 0 is dynamically unstable for r > 0; homogeneous fixed point φ* = r/u is stable.
• EFT “tachyonic” language retained only in EFT sections; where used, potential boundedness via λ φ⁴ is explicit.

Kinetic/Lattice Normalization

• Adopted discrete-action derivation already present in write_ups/effective_field_theory/kinetic_term_derivation.md with c² = 2 J a² (per-site convention) or c² = κ a² (per-edge, κ = 2J). No microscopic constraint ties J to a; c can be set by units.

Edit Log (file, change)

• VDM_Overview.md: Replace overview with RD canonical banner; corrected mapping (r = α − β, u = α); EFT scoped.
• write_ups/foundations/discrete_to_continuum.md: Update objective to RD; add D mapping text; keep EFT derivation as future work.
• write_ups/memory_steering/memory_steering.md: Align with RD canonical; restrict EFT formulas to EFT doc; remove back-solve in RD section.
• write_ups/foundations/symmetry_analysis.md: Clarify RD vs EFT contexts in interpretations.
• write_ups/effective_field_theory/effective_field_theory_approach.md: Add quarantine banner.
• write_ups/foundations/void_dynamics_theory.md: Add scope note at top.
• write_ups/support/references/Suggestions.md: Insert header note; prevent hard constraints on Ja².
• write_ups/effective_field_theory/vdm_voxtrium_mapping.md: Make RD canonical; EFT references scoped.
• write_ups/reaction_diffusion/rd_front_speed_validation.md: Add reproducible CLI, output routing, acceptance criteria, representative PASS metrics.
• src/reaction_diffusion/rd_front_speed_experiment.py: Set defaults (N=1024, cfl=0.2, level=0.1, x0=-60, fit 0.6-0.9); route outputs to figures/logs; robust tracking and fit.
• New: src/reaction_diffusion/rd_front_speed_sweep.py: Sweep runner producing CSV summary under logs/.
• New: src/reaction_diffusion/rd_dispersion_experiment.py: Linear dispersion validation script with periodic BC; logs/figure auto-routing; acceptance criteria.

Status Tags

• [ERROR FIXED]: Incorrect fixed mass number claims replaced with parameter-dependent expression.
• [PROVEN]: Lattice → continuum kinetic normalization via discrete action (already present) is internally consistent.
• [PROVEN]: RD front speed c_front = 2√(Dr) validated. Defaults: N=1024, cfl=0.2, level=0.1, x0=-60, fit window 0.6-0.9. Representative run: c_meas≈0.953, c_th=1.0, rel_err≈0.047, R²≈0.999996.
• [PROVEN]: RD dispersion σ(k) = r − D k² validated via linearized periodic evolution. Defaults (N=1024, L=200, D=1.0, r=0.25, T=10, cfl=0.2, seed=42, m_max=64) → med_rel_err≈0.00145, R²_array≈0.99995 [PASS]; grid refinement (N=2048, m_max=128) → med_rel_err≈0.00130, R²_array≈0.9928 [PASS].