Aliveness: When Existence is Measurable

LCT (verifiable presence)
  ↓
  Enables tracking of:
  ├─→ ATP/ADP flows (energy budget)
  ├─→ CI verification (coherence scoring)
  └─→ T3 accumulation (trust reputation)
       ↓
    Modulation applied:
    ├─→ Effective trust = Base_trust × CI²
    ├─→ ATP cost = Normal × (1/CI²)
    └─→ Witnesses required = ceil((0.8-CI)×10)
       ↓
    Aliveness check:
    ├─→ ATP > 0? (energy)
    ├─→ T3 > 0.5? (agency)
    └─→ CI coherent? (continuity)
         ↓
       ALIVE or DEAD

Karma Carry-Forward

If you die with 145 ATP and T3 = 0.72, you're reborn with:

• 145 ATP karma bonus (energy advantage)
• 0.72 trust reputation (social advantage)
• Intact CI history (continuity advantage)
• Cross-life patterns (learning advantage)

Good behavior compounds across lives. Each life starts stronger.

• Same identity: Your subject identity (DID) stays the same — only the cryptographic keys change
• Trust preserved: Your entire T3 tensor carries over. No trust reset.
• Relationships intact: All your context boundaries (who you can see and who can see you) are preserved
• Lineage tracked: The new credential references its parent, creating an auditable chain of custody

Think of it like renewing a passport: you're still the same person, with the same history. Only the document itself is new. Your old LCT transitions to “superseded” (not revoked), and the new one picks up exactly where you left off.

The design rationale:

• Practical: It's the mathematical midpoint—below means more bad behavior than good, above means net positive contribution
• Analogous to biology: Living systems maintain order above a critical threshold (homeostasis). Below it, systems degrade toward entropy
• Game-theoretically sound: It ensures entities must demonstrate more cooperative behavior than not to remain “alive” in the society

Life 1: Learning Phase

• Born with 100 ATP, T3 = 0.5 (neutral)
• Takes risky actions, some succeed, some fail
• Builds trust through successes: T3 climbs to 0.68
• Dies at tick 47 with 145 ATP remaining
• Rebirth eligible: T3 = 0.68 ≥ 0.5 ✓

Life 2: Advantage Phase

• Reborn with 145 ATP karma (not 100!)
• Trust carries forward: T3 = 0.68
• More conservative, leverages karma bonus
• Survives 89 ticks (longer than Life 1)
• Dies with T3 = 0.81 (even higher trust)
• Rebirth eligible: T3 = 0.81 ≥ 0.5 ✓

Life 3: Mastery Phase

• Reborn with even more ATP
• High trust (0.81) enables coordination
• Cross-life patterns guide optimal decisions
• Survives indefinitely (sustainable balance)

Key insight: Good behavior compounds. Each life starts stronger than the last. Bad behavior leads to permanent death (T3 < 0.5 = no rebirth).

Everything above describes individual aliveness. But in Web4, groups can also become alive — not metaphorically, but measurably.

When a cluster of entities develops dense trust relationships, shared context boundaries, and balanced energy flows, they start acting as a coherent whole. Web4 calls these emergent groups synthons — named after chemistry's building blocks that combine to form larger structures.

A synthon has a lifecycle just like an individual:

• Formation — Trust between members becomes dense and mutual. Their MRH horizons overlap. Energy flows balance.
• Health — The group maintains witness diversity, balanced ATP distribution, and high internal trust coherence.
• Decay — Trust diverges, boundaries leak, energy concentrates in fewer members. These are early warnings before dissolution.

Early warning saves 10x. Recent work on synthon decay precursors (74 validated checks) shows that intervention costs grow exponentially with decay stage. Seven precursor types signal trouble before it arrives: trust entropy rising, ATP starvation, witness exodus, coherence oscillation, member attrition, policy fragmentation, and boundary permeability. Catching a problem at WARNING costs roughly 10% of what it costs at CRITICAL.

What about individual identity? A synthon doesn't override your personal trust — it complements it. You retain your individual T3 scores, ATP budget, and trust relationships. The synthon's collective trust is a separate measurement (a weighted average of member trust). Being part of a thriving group raises your visibility through denser MRH connections, but your personal reputation remains yours.

You can leave a synthon at any time. Your individual trust stays intact — the group's collective trust recalculates without you. If the synthon was healthy, leaving costs nothing to your personal reputation. If it was struggling, you may have already experienced some trust decay from the group's declining coherence.

Synthon detection (72 checks) and precursor monitoring (74 checks) both validated in simulation. The key insight: groups don't need to be designed. They emerge naturally from individual trust relationships — and they can be detected, monitored, and protected without central coordination.

1. Aliveness is measurable: ATP > 0 (energy), T3 > 0.5 (agency), CI coherent (continuity). All three must be true.
2. Death is meaningful: Not a trivial ban. Real loss. Rebirth requires trust ≥ 0.5. Permanent death if society rejects.
3. 0.5 threshold by design: The midpoint where net-positive behavior emerges — the minimum bar for continued participation in the society.
4. Economics enforce quality: Spam dies (ATP exhaustion), quality thrives (earn > spend), no moderators needed.
5. Trust emerges from behavior: T3 tensor is multi-dimensional, earned, verifiable. Can't fake competence across all dimensions.
6. Coherence prevents fake identities: Geometric mean of four dimensions. One weak dimension tanks everything. Must be consistent everywhere.
7. Good behavior compounds: Karma carries ATP/trust/patterns forward. Each life starts stronger. Evolution favors sustainable strategies.
8. LCT enables everything: Without verifiable presence, ATP/T3/CI tracking is impossible. Hardware-bound, multi-witnessed, resistant to faking.
9. Society self-regulates: Through energy economics + trust accumulation + coherence verification. No central authority needed.
10. Emergence from simple rules: Complex trust-native societies emerge from these simple, rigorous criteria — no central designer needed.