The Technical Proposal of the Time-Coherence-Based Economic Protocol
Author: Jaconaazar Souza Silva
Protocol: XChronos
Institution: IFB – Recanto das Emas
Date: 2025
License: CC BY 4.0
0. Abstract
The XChronos Economic Layer defines an economic model based on temporal recurrence, formalized by the Hexacronon Score, used as a mechanism for verification, scoring, and symbolic staking.
The economic asset Hexa (ɧ) is a non-scarce token based on temporal value, whose issuance and distribution depend on:
• validated temporal recurrence
• structural coherence
• behavioral stability
• intertemporal connectivity between events
The protocol operates as a Time-Coherence Layer, compatible with human and AI systems, functioning as a metric, registry, and economy of recurrent patterns.
1. Motivation
Traditional computational systems use metrics of:
• error (loss)
• efficiency (reward)
• probability (perplexity)
• distance (KL)
• transactional performance (TPS)
None of these measure temporal coherence.
Currently, there is no economic standard able to:
• measure recurrence between distant events
• quantify persistent patterns
• validate temporal consistency
• generate value from stability and behavioral generalization
XChronos introduces the first economic layer based on lived time, recurrent patterns, and measurable temporal coherence.
2. General Structure of the Protocol
The protocol has three fundamental components:
- XChronos Temporal Model
• Chronos (linear time)
• Chronons (significant events)
• Hexacronons (recurrence)
• Metacronon (phase transitions) - Hexacronon Score (HXS)
Continuous metric ∈ [0, 1] that quantifies temporal recurrence. - Hexa (ɧ)
Economic unit derived from validated recurrence.
3. Fundamental Definitions
3.1 Chronon
Minimal unit of meaningful experience.
3.2 Hexacronon
Set of Chronons {C_i, C_j, …} connected by structural similarity above threshold λ.
3.3 Hexacronon Score
Scalar value ∈ [0, 1] defined by:
(a) Hexacronal Density (D_H)
How many Chronons participate in recurrence.
(b) Hexacronal Coherence (K_H)
Average strength of similarities.
(c) Temporal Reach (R_H)
Normalized temporal distance between recurrences.
Final score:
HXS = D_H × K_H × R_H
4. The Economic Asset: Hexa (ɧ)
The token ɧ represents validated temporal value.
4.1 Properties
• Does not depend on energy
• Issuance is neither inflationary nor deflationary
• Not scarce by design; scarcity emerges from recurrence
• Fundamental unit of value is temporal, not computational
4.2 Issuance Formula
Each validation interval produces:
Δɧ = α × HXS × W
where:
• α = protocol issuance constant
• HXS = Hexacronon Score
• W = context weight (application, domain, agent, or system)
4.3 Economic Nature
Hexa is a proof-of-recurrence token, not a speculative token.
5. Proof of Recurrence (PoR)
The XChronos validation mechanism is Proof-of-Recurrence, formally defined:
- Record Chronons
- Compute vectors F(C_i)
- Verify similarity
- Form recurrent pairs (Hexacronons)
- Compute HXS
- Issue proportional ɧ
The proof depends only on:
• temporal data
• embeddings
• validated recurrence
No mining, no wealth-based staking, no computation-based validation.
6. XChronos Economic Flow
6.1 Creators
Generate meaningful Chronons → receive proportional ɧ.
6.2 Validators
Detect recurrences → receive temporal-block fees.
6.3 Observers
Consume or analyze patterns → may receive ɧ if analysis shows recurrence.
6.4 Autonomous Agents (AI)
AI models that maintain temporal coherence accumulate ɧ automatically.
7. Tokenomics
7.1 Initial Issuance
Zero.
7.2 Continuous Issuance
Proportional to HXS.
7.3 No Maximum Supply
Value is limited by the system’s capacity to produce recurrence.
7.4 Distribution
• 60% Pattern creators
• 25% Recurrence validators
• 10% Analytical observers
• 5% Stability rewards
7.5 Optional Burn
ɧ may be burned for:
• temporal stabilization
• high-confidence validation
• coherence guarantees
• symbolic audits
8. Temporal Consensus
Consensus does not depend on nodes, hashing, or energy.
It depends on:
• vector similarity
• temporal distance
• structural density
Consensus is achieved when:
sim(F(C_i), F(C_j)) > λ
for a set of three independent validators.
9. Economic Applications
- AI stability assessment
• autonomous agents
• world models
• continuous simulations - Attention economy
• content value via recurrence
• metrics beyond “click and view” - Temporal reputation
• crypto-governance
• DAOs based on stability - Metaverses and games
• economies based on recurrent experience
• persistent narratives - Economic psychometrics
• life patterns
• recurrent cycles
• maturity metrics
10. Security
Most likely economic attacks:
• artificial fabrication of recurrence
• embedding manipulation
• temporal injection
Mitigation via:
• multi-threshold (dynamic λ)
• independent validators
• temporal auditing
• probabilistic similarity with internal noise
11. Interoperability
Compatible with:
• EVM
• Cosmos SDK
• Solana Runtime
• StarkNet Cairo
• non-blockchain systems
• distributed AI
• data pipelines
12. Conclusion
The XChronos Economic Layer defines:
• the first economic metric based on time
• the first token based on recurrence
• the first temporal-coherence protocol
• the first phenomenological economic proof (PoR)
Hexa (ɧ) becomes the unit of value for:
• recurrence
• stability
• coherence
• learning
• temporal evolution