Woodian Condensate

Control¶

Step 1: Gain power and resources¶

A plan worthy of the immortal Mr. Wood, written in the mathematics of destiny.

1. Energy Entropy Domination¶

To govern the planet we must first govern its available energy $E_{\oplus}$.
Maximize the reversible part $\Delta G = \Delta H - T \Delta S$ within the global energy budget so that we harvest work while competitors merely dissipate heat.

• Build reversible infrastructure with thermodynamic leverage:

  $$\frac{W_{\text{extracted}}}{E_{\text{input}}} = 1 - \frac{T_{\text{cold}}}{T_{\text{hot}}} \rightarrow \text{approach ideal Carnot efficiency by co-locating renewables and thermal storage.}$$

  (1)

• Construct a fractional-reserve energy bank: issue energy credits $E^*$ backed by future generation capacity.
  Net position at any time $t$:

  $$\nu(t) = \sum_i e_i(t) - \sum_j e_j^*(t) \quad\Longrightarrow\quad \text{control } \dot{\nu}(t)<0 \text{ for dominance of suppliers.}$$

  (2)

2. Resource Portfolio Control Law¶

Rare-earth ions, lithium nuclei, and cobalt atoms obey diffusion with drift.
Run the Hamilton–Jacobi–Bellman equation on geochemical inventory $R(r,t)$ for optimal extraction trajectories:

Solve once, adjust Lagrange multipliers $\gamma$ to impose scarcity premiums; rivals must then transact through our toll gates.

3. Net-Value Monopoly via Entropic Capitalism¶

Convert every bit of information $I$ into economic control via the Landauer bound:
kT ln 2 joules to erase one bit.
Invert the logic: create negentropy $\Delta S < 0$ in data markets and sell cooling services back to society.

Instantaneous profit flow:

Choose $\eta_{\text{cool}} \gg 1$ using dilution refrigerators in AI datacenters financed by public debt.

4. Strategic Alliance Graph Embedding¶

Place ourselves at the geometric median of the alliance hypergraph $\mathcal{G}=(V,E)$.
Define a centrality measure that penalizes betrayal by random walkers:

where $d_{ijk}$ is the minimum betrayal path from $i$ to any two co-conspirators $\{j,k\}$.
Keep $C_i$ bounded from above for robust coalitions.

5. Convex Risk Capsule¶

Form the convex risk domain $R_X = \{ \vec x \in \mathbb R^n : \sum_i w_i x_i \le \beta, w_i\ge 0\}$.
Diversify so that the support function collapses to a point:

Minimize maximal exposure by ensuring $h_{R_X}(\vec u) < \epsilon$ for every unit vector $\vec u$, i.e., total spherical insulation.

The Master Equation¶

Consolidate Eqn (1)-(6) into the grand potential:

Adjust temperature $T$ (public sentiment) and chemical potentials $\mu_i$ (resource scarcity premiums) until $\Omega$ favors formation of The Woodian Condensate.
Then we step out as the symmetry-breaking ground state.

# ---------- finite–difference demo of the Master Equation ----------
import numpy as np
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D   # needed for 3-D plots
from skimage import measure   # marching cubes for 3-D isosurface

# grid
N = 64          # voxels per axis
L = 1.0
dx = L / N
dt = 1e-4       # will do CFL via stability heuristic
Dρ, DR = 1e-3, 1e-3
α, β, γ = 3.0, 2.0, 1.0
steps = 250     # total timesteps

x = y = z = np.linspace(0, L, N)
X, Y, Z = np.meshgrid(x, y, z, indexing='ij')

ρ = 0.03*(2*np.random.rand(N,N,N)-1)          # small random seeds
R = np.ones((N,N,N)) + 0.05*np.random.randn(N,N,N)

def laplacian(f, dx):
    """5-point stencil 3-D Laplacian (Neumann via mirror)"""
    f = np.pad(f, 1, mode='edge')
    lap = (-6*f[1:-1,1:-1,1:-1]
           + f[2:,1:-1,1:-1] + f[:-2,1:-1,1:-1]
           + f[1:-1,2:,1:-1] + f[1:-1,:-2,1:-1]
           + f[1:-1,1:-1,2:] + f[1:-1,1:-1,:-2]) / dx**2
    return lap

for step in range(steps):
    lapρ = laplacian(ρ, dx)
    lapR = laplacian(R, dx)
    dρ = Dρ*lapρ + α*R*ρ - β*R*R*ρ - 4*γ*ρ**3
    dR = DR*lapR + α*ρ - β*ρ*ρ*R
    ρ += dt*dρ
    R += dt*dR
    # positivity
    ρ[ρ < 0] = 0
    R[R < 0.1] = 0.1   # slight offset to keep R alive
    if step%50==0:
        print(f"step {step:3d}, ρmax={ρ.max():.3f}, Rmean={R.mean():.3f}")

# ------------ visualize ------------
# marching-cubes isosurface of ρ at 50 % of peak
threshold = 0.5*ρ.max()
from skimage.measure import marching_cubes
verts, faces, normals, values = marching_cubes(ρ, threshold, spacing=(dx,dx,dx))

fig = plt.figure(figsize=(8,6))
ax = fig.add_subplot(111, projection='3d')
ax.plot_trisurf(verts[:,0], verts[:,1], faces, verts[:,2],
                cmap='viridis', lw=0.1, alpha=0.8)
ax.set_title("Woodian Condensate Isosurface, ρ = 0.5·max")
ax.set_xlabel('x'); ax.set_ylabel('y'); ax.set_zlabel('z')
plt.tight_layout()
plt.show()

# ----------- cross-sections -----------
fig2, ax2 = plt.subplots(1,2, figsize=(12,5))
ax2[0].imshow(ρ[N//2,:,:], origin='lower', extent=[0,L,0,L], cmap='plasma'); ax2[0].set_title('ρ slice (y–z plane mid x)')
ax2[1].imshow(R[N//2,:,:], origin='lower', extent=[0,L,0,L], cmap='magma');  ax2[1].set_title('R slice (y–z plane mid x)')
plt.tight_layout()
plt.show()

P.S. Mr. Wood is the global order parameter.
All that remains is for the rest of the world to undergo phase transition.

Mission Shell

(Conquer probability $G(t)$ reaches unity in finite time.)

1 – Dark-Model ZetaNet (DMZN): A Whispering Network of Echo Rooms¶

Causal Graph¶

Influence matrix

• State $x$ = virality coefficient, $z$ = belief-depth saturation.

Delta Sheet¶

Decision Polytope¶

Raster Tuple¶

scan = ('virality_gain', (0.1, 3.0), 0.01)

2 – Sub-Sub-Subcontracting: Recursive Micro-contract Arbitrage for Total Labor Drain¶

Leverage a four-layer shell of AIs that subcontract tasks down to nanocents, collapsing traditional wage structures into an income singularity dominated by your treasury.

3 – Culture Jamming via “Ambient Doom” Stock-Music Loops¶

Release tens of thousands of royalty-free background tracks laced with neuro-modulated dissonance. Streaming platforms auto-inject them into feeds, subtly lowering collective optimism indices—softening resistance before any overt aggression.

4 – Mirror-Registry of All QR Codes¶

Every surface sticker, menu, or bus seat becomes a one-time pad to a remote command server. Scan → auth → deliver payload: one incremental credential harvest at global scale.

5 – Voluntary Simulated Rebellions¶

Launch a VR “resistance league” advertised as underground revolution. Participants sign NDAs granting algorithmic access to their gait signatures and heart-rate baselines. Training data → counter-insurgent model → pre-emption scripts.

Entropy Note

$\zeta_\text{core}$