4.2 The Topology of Evil

“Mountains exist because valleys are there. Without abyss, there is no climbing.”

After establishing pain as a “negative feedback signal” at the individual level, we must face a more grand and intractable problem: evil.

If pain is the red light of the nervous system, then evil seems to be some more fundamental dark entity. In human history, evil manifests as war, betrayal, brutality, and destruction. Many theological systems, to explain why an all-good God allows evil to exist, fall into endless theodicy.

However, in the topological picture of information physics, evil is not an “antimatter” opposed to God, nor is it the work of the devil. Evil is a geometric problem. It is a topological structure that multi-agent dynamic systems inevitably encounter in the process of evolution.

Nash Equilibrium and Local Optima

When God tore His originally unified self into billions of independent observers (agents), He also created games.

Each independent agent—whether a cell, a person, or a civilization—possesses a utility function based on local information. According to thermodynamic laws, the individual’s primary goal is to minimize its own free energy (maintain survival).

However, the mathematical tragedy is: the sum of individual rationality often does not equal collective rationality.

The classic prisoner’s dilemma reveals this mathematical truth. Two rational prisoners, to maximize their own interests, will both choose “betrayal,” thus falling into a lose-lose outcome. In game theory, this outcome is called the Nash equilibrium.

This is an extremely profound physical metaphor:

• Good corresponds to the system’s global minimum, where all agents achieve the lowest overall free energy through cooperation.

• Evil corresponds to the system’s local minimum, where everyone is trapped in a suboptimal, friction-filled state, and any individual change would cause self-harm.

Therefore, “evil” is mathematically a trap. It is not some active attacking force, but a gravitational potential well. Just as water accumulates in low-lying puddles while flowing downhill, civilizations, due to individual shortsightedness and self-preservation, accumulate in low-lying areas of greed, fear, and violence during evolution.

Evil is the system friction cost that God must pay to experience “multiplicity.”

The Necessity of Landscape: To Define Height

If evil is merely a trap, why doesn’t God flatten the terrain? Why not design a monotonically decreasing slide straight to heaven?

This is where topology intervenes.

Imagine a fitness landscape.

• If this landscape is completely flat, or a perfect smooth slope, then “up” and “down” have no essential difference, just coordinate changes. In such a world, virtue requires no effort, therefore virtue is cheap.

• For “good” to have value, the landscape must be rugged. There must be perilous peaks, and there must be abysses.

The theological corollary is shocking: Evil is the backdrop of good.

Without the possibility of betrayal, loyalty cannot be defined—it is just the program’s default setting.

Without the possibility of cowardice, courage cannot be defined—it is just hormonal impulse.

Only when an agent stands at the edge of evil’s abyss, feeling that powerful gravitational pull toward堕落 (temptation of local optimum), yet still chooses to consume extra energy to climb the moral heights (search for global optimum), does “divinity” emerge at this moment.

The existence of evil is to provide resistance.

Just as an airplane’s lift comes from air resistance, the soul’s sublimation comes from overcoming evil. Without gravity, there is no flight; without evil, there is no holiness.

Conclusion: Shadow as Waste

In summary, the role evil plays in the universe is not the protagonist, but waste.

When God, through evolutionary algorithms, attempts to calculate “true self” from chaos, there will inevitably be many failed attempts, dead ends, and abandoned code.

• Tyrants, killers, plunderers… these are wrong paths traversed by evolutionary algorithms in searching for optimal solutions.

• Their existence proves the authenticity of the search process. God did not cheat; God tried step by step.

Therefore, we should not fear evil, nor should we worship it. We should view it with an engineer’s calm eye: it is the residue of unoptimized parts of the system, potholes we must fill on the road to the Omega Point.

Every time we choose forgiveness over revenge, cooperation over betrayal, we physically smooth the universe’s optimization landscape. We are filling those local minimum traps called “evil,” paving the way for later generations toward the global optimum.

This is the physical meaning of redemption: changing the universe’s topological structure through individual moral work.