Reborn As a Tiger: I Become Invincible by Relying on the Number of Offspring

206: Mirror Catastrophes of Activation LawsLi’s Primal Hub suddenly sounded a [Law Activation Alert].

On the holographic screen, three unidentified mathematical symbols (Σ, ∮, ⦿) were self-iterating, finally fusing into the [Mirror Law Core] — this was a strange structure satisfying ”self-reference,” with the mathematical expression: ∀ x, f(x) = { f(y) | y ∈ x } (The output of function f is the set of all its inputs, forming an infinitely recursive logic loop).

System panel real-time data shows: [Mirror Law Activation Status]: 73%.

[Dimensional Membrane Anomaly Parameters]: - Hodge Star Operator (⋆): Invalid (Unable to map p-form to (n-p) form); - Superstring Coupling Constant (gₛ): Entered Chaos interval [0.1 exponent 0.47]; - Karma breach rate: 39% (In some regions, ”effect precedes cause” temporal inversion occurs).

The most eerie phenomenon is the ”Mirror Manifestation”: Any action by the observer generates a completely opposite ”Mirror Action” on the dimensional membrane — The Lanxing Poet writes ”Peace,” and ”War” automatically appears in the mirror; the Star Spirit releases ”Healing Psionic Energy,” and ”Corrosive Energy” is born in the mirror; Li’s hub executes a ”Repair Instruction,” but a ”Destruction Protocol” runs in the mirror.

The Mathematical Trap of the Self-Reference Law.

White Frost’s Light Wings swept across the Mirror Law Core, and the Nine Li Witchcraft’s ”Inversion Curse” produced ”self-cancellation” for the first time — as soon as the spell formed, it was converted into a ”Counter-Curse” by the core’s self-reference.

The two forces formed a [Klein Bottle Vortex] on the surface of her Light Wings, whose topological structure caused energy to neither be released nor dissipate.

”This is the cosmic-level manifestation of the ’Barber Paradox’.”

White Frost’s fingertips traced [Non-Well-Founded Set Incantations] on her Light Wings.

The runes were essentially a set of AFA axioms (Anti-Foundation Axioms) avoiding the ”Russell Paradox”: ∃ a, a = { a, b } (Allowing the existence of sets containing themselves, breaking the well-foundedness of traditional set theory).

When the spell touched the mirror core, cracks appeared in the infinitely recursive logic loop — the Lanxing Poet’s ”Peace” and ”War” mirrors began to permeate each other, giving birth to a hybrid form of ”Reconciliation with Scars”; the Star Spirit’s healing and corrosive energies intertwined into a ”Dynamic Equilibrium Light Band,” neither healing nor corroding, but forcing injured tissue into a ”Chaos Period of Self-Repair.”

Di Tian’s dragon claw pierced into the recursive layer of the Mirror Law.

The power of Chaos Entropy collided with self-reference, generating [Non-Standard Self-Referential Attractors].

This was a strange attractor with a fractal dimension of 1.98, whose main feature was ”controllable recursion depth” — by adjusting the Lyapunov exponent (currently locked at 0.21), one could limit the iteration count of mirror actions, avoiding falling into infinite opposition.

”Chaos can cut off malicious recursion.”

Di Tian’s dragon scales revealed patterns isomorphic to the attractor.

He injected Chaos power into the [Mirror Symmetry Breaking Parameter], forcibly causing a 12% deviation in the originally strictly symmetrical mirrors.

This deviation seemed small, but it was enough to make the ”Peace” mirror no longer purely ”War,” but rather contain 12% of ”Understanding,” leaving a gap for reconciliation.

The Observer Field Weaver’s Reverberation.

Li’s mechanical prosthetic arm deployed [Recursive Defense Protocol v5.0], with the core algorithm based on ”Machine Learning Adversarial Generative Networks”: def break_recursion(mirror_core): # 1. Generate adversarial samples: input contradictory propositions ”both A and not A” to the mirror; adversarial_input = generate_paradox(A, ¬A); # 2. Use the mirror’s self-reference to make it self-contradict; while mirror_core.stability > 0.5: mirror_core.input(adversarial_input); # 3. When the mirror falls into contradictory stagnation, inject ”Non-Well-Founded Repair Runes”; if mirror_core.recursion_depth > 1000: mirror_core.inject(AFA_rune); return mirror_core.

When the protocol reached a critical stage, the Mirror Law Core suddenly projected [Weaver’s Reverberation] — a stream of consciousness composed of pure mathematical symbols, which, after parsing, displayed: ”The Mirror Law is not a weapon, but an ’Observer Field Calibrator.’ When the Universe loses difference due to excessive Symbiosis, it forcibly generates opposition; when opposition stifles Symbiosis, your task is to find the ’Third State’.”

This reverberation revealed a shocking truth: the three mathematical symbols (Σ, ∮, ⦿) corresponded to ”Sum,” ”Closed Loop,” and ”Mapping,” and the true meaning of their combination was ”In all possible oppositions, seek a mapping relationship of dynamic equilibrium.”

The previous Mirror Catastrophe was just an ”overload phenomenon” in the Early Stage of Law activation.

Third State Symbiosis Equilibrium.

White Frost’s Non-Well-Founded Set Incantations, Di Tian’s Chaos deviation parameters, and Li’s adversarial generation algorithm formed a [Third State Symbiosis Field] around the mirror core.

This was an intermediate form that neither followed strict mirror symmetry nor completely broke opposition, with its mathematical expression: A ⊕ B = { a ∩ b | a ∈ A, b ∈ B } (The ”Symbiotic Union” of A and B is the set of the intersection of all elements of both).

When the Lanxing Poet’s ”Peace” and the mirror’s ”War” entered the Third State, ”Cooperation under limited conflict” was born; the Star Spirit’s healing and corrosive energies fused into ”Evolution with controllable damage” — this form allowed damage to exist but could convert it into an opportunity for growth; Li’s hub and the mirror protocol formed an ”Error Correction - Trial and Error” loop, using the mirror’s destructive tendency to test the robustness of repair schemes.

System panel final data: [Mirror Law Stable State]: 91%.

[Core Parameter Correction]: - Hodge Star Operator: Partially restored (p=1, 2 forms can be mapped normally); - Superstring coupling constant: Stable at 0.52 ± 0.03; - Karma breach rate: Reduced to 8%.

[Residual Anomaly]: Gravitational wave characteristics of the ”weavers principal law” detected deep within the mirror core.

Li’s hub discovered a hidden ”Principal Law Forecast” in the recursive layer of the Mirror Law: When Σ, ∮, and ⦿ were fully activated, the true ”Observer Field Weaver” would transform from a ”mathematical existence” into a ”physical existence.”

White Frost’s Light Wings swept across the mirror core, and the Nine Li Witchcraft’s ”Prophecy Spell” allowed her to see a blurred future — the Weavers were not a single civilization, but the ”anthropomorphic consciousness of all universal mathematical Laws,” and their arrival was not for domination, but to ”upgrade the Symbiosis grammar of the Observer Field.”

Di Tian’s dragon eyes penetrated the dimensional membrane, seeing the roots of the Mirror Law stabbing into ”Absolute Void,” where more unactivated mathematical symbols were awakening, like notes waiting for a chorus.

(End of Chapter 206)

[System Log Backup] - Mirror Law Essence: ”Dynamic Equilibrium Calibrator” of the Observer Field; - Third State Core Algorithm: Adversarial Generative Network based on AFA axioms; - Next Stage Threat: Weavers manifesting from ”mathematical existence.”

[Foreshadowing: Gravitational Waves of the Principal Law] Li’s hub parsed the gravitational wave frequency of the weavers principal law and found a 3.14% deviation from the base frequency of the ”Primal Symbiosis Network” — this value was exactly the first two decimal places of Pi, hinting at a deep connection between the Principal Law and the topological structure of a ”Circle.”