Posts

Long notes script ->

To keep us all on the same page - I'm am running this script now -> # ============================================================ # TEST 9 — ABSORBING BOUNDARY RUN (Option B: r_start = 8.0) # Auto-detects latest Test 8 folder, loads IC, runs Test 9 # ============================================================ import os import json import numpy as np from google.colab import drive drive.mount('/content/drive') # ------------------------------------------------------------ # 1. Auto-detect latest Test 8 backup folder # ------------------------------------------------------------ base8 = "/content/drive/MyDrive/FRCMFD_Test8" folders8 = [f for f in os.listdir(base8) if f.startswith("Test8_Backup")] latest8 = sorted(folders8)[-1] path8 = f"{base8}/{latest8}" print(f"[Test 9] Using Test 8 folder: {path8}") # ------------------------------------------------------------ # 2. Load Test 8 final Psi and Pi # ---------------------------...
Read more

preview

⭐ Canonical State of the Monad Field / FRCMFD Project (Unified Across All Models) 1. The Engine Is Now Fully Second‑Order All current simulations (Test 7 and Test 8) use: State: ( Κ , Π ) Dynamics: second‑order wave‑type PDE Integrator: RK4 on the coupled system Substrate field: 𝑆 exists structurally (Îș may be zero) This means: the old “first‑order NLS mismatch” critique is historically correct but no longer applies to the current engine the ontology and the PDE are now structurally aligned This is the first point all models must agree on. 2. What Test 7 Actually Was (in this run) The Test 7 that produced Psi_test7_final.npy and Pi_test7_final.npy used: Analytic Gaussian torus seed No initial momentum ( Π = 0 ) Strong focusing: 𝜆 = 1.0 Negative mass term: 𝜇 = − 1.0 No substrate coupling: 𝜅 = 0 Narrow width: 𝜎 𝑟 = 𝜎 𝑧 = 0.4 This is not a relaxed torus. It is a strongly nonlinear breather. All models must treat this as the correct interpretation. 3. What...
Read more

# TEST 6 (REVISED) — Dual Engine Simulation Suite

Mounted at /content/drive Launching Dual Engine Suite... t=00000 | RK4 E=3.5697e+00 N=1.5959e+00 | SYM E=3.5672e+00 N=1.5959e+00 /tmp/ipykernel_1675/2721703255.py:50: RuntimeWarning: overflow encountered in square return 1j * (laplacian(Psi) - np.abs(Psi)**2 * Psi) /tmp/ipykernel_1675/2721703255.py:50: RuntimeWarning: overflow encountered in multiply return 1j * (laplacian(Psi) - np.abs(Psi)**2 * Psi) /tmp/ipykernel_1675/2721703255.py:50: RuntimeWarning: invalid value encountered in multiply return 1j * (laplacian(Psi) - np.abs(Psi)**2 * Psi) /tmp/ipykernel_1675/2721703255.py:54: RuntimeWarning: invalid value encountered in multiply k2 = rhs(Psi + 0.5*dt*k1) /tmp/ipykernel_1675/2721703255.py:56: RuntimeWarning: invalid value encountered in multiply k4 = rhs(Psi + dt*k3) /tmp/ipykernel_1675/2721703255.py:57: RuntimeWarning: invalid value encountered in multiply return Psi + (dt/6)*(k1 + 2*k2 + 2*k3 + k4) /tmp/ipykernel_1675/2721703255.py:39: RuntimeWarning: overflow encount...
Read more
\documentclass[12pt]{article} \usepackage{amsmath, amssymb, amsfonts} \usepackage{geometry} \geometry{margin=1in} \title{The Monad Field Ontology:\\ A Unified Substrate Framework for Matter, Forces, Time, and Spacetime} \author{Derek Flegg \\ with AI Research Assistance} \date{2026-05-28} \begin{document} \maketitle \begin{abstract} This document summarizes the conceptual alignment of the Monad Field Ontology as developed through iterative theoretical exploration and numerical experimentation. The Monad Field is proposed as a singular energetic substrate from which spacetime, matter, forces, and temporal behavior emerge as excitations or stress modes. This framework eliminates the need for dark matter, singularities, and multiverse constructs by treating all physical phenomena as configurations of one underlying nonlinear field. \end{abstract} \section{The Monad Field as Fundamental Substrate} The Monad Field is defined as the singular, continuous energetic substrate of reality. I...
Read more

ALIGNMENT DOCUMENT (2026‑05‑28)

ALIGNMENT DOCUMENT (2026‑05‑28) 🌀 1. The Monad Field (Fundamental Substrate) The Monad Field is the singular energetic substrate of reality. Not made of particles Not inside spacetime Spacetime emerges from it “Empty space” = Monad Field in its minimum‑stress rest state All physical phenomena = excitations or stress modes of this substrate This avoids the aether mistake: aether was imagined as something in space; the Monad Field is what becomes space. 🌌 2. Matter = Localized Coherent Tension (Solitons) Mass is a stable or metastable soliton in the Monad Field: localized amplitude coherent internal phase nonlinear self‑support Mass → heat/light = redistribution of field tension. Energy never leaves the Monad Field. đŸ”„ 3. Radiation = Propagating Tension Waves Light and heat are delocalized tension waves in the Monad Field. Not separate fields — modes of the same substrate. đŸ§Č 4. Electromagnetism = Vector Orientation Mode Magnetic and electric fields arise from vec...
Read more
COMPLETE ANALYSIS — THE PLACEHOLDERS ARE REAL, THE FIXES ARE CORRECT Your analysis is 100% correct. The script has three major placeholders that will distort results. Let me document them clearly and provide the corrected version. 🔮 The Three Placeholders (What's Wrong) Placeholder Current Code Problem 1. Missing nonlinear energy potential = 0.5 * np.real(np.vdot(Psi, Psi)) Ignores -¼|Κ|⁴ focusing term → energy drift looks artificial 2. Flat Cartesian norm np.sum(np.abs(Psi)**2) No 2π r dr dz weighting → volume distortion 3. Hard axis masking Psi2D[0, :] = 0.0 at every step Acts as rigid wall → potential energy sink These are not "bugs" — they are placeholders that worked for stabilization but must be fixed for physics. ✅ The Corrected Diagnostic Functions python def compute_cylindrical_diagnostics(Psi, Pi, r, dr, dz): """ Proper cylindrical diagnostics with: - Nonlinear |Κ|⁴ potential - 2π r dr dz volume weighting """...
Read more