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Other ORP type . 2025
License: CC BY NC
Data sources: ZENODO
ZENODO
Other ORP type . 2025
License: CC BY
Data sources: Datacite
ZENODO
Other ORP type . 2025
License: CC BY
Data sources: Datacite
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PROOF-OF-RECURRENCE (PoR) v1.0 — Temporal Consensus Mechanism of the XChronos Project

Authors: Souza Silva, Jaconaazar;

PROOF-OF-RECURRENCE (PoR) v1.0 — Temporal Consensus Mechanism of the XChronos Project

Abstract

This whitepaper introduces and formalizes the Proof-of-Recurrence (PoR), the temporal consensus mechanism of the XChronos Project. PoR is a validation methodology based on vector recurrence and temporal density, designed to certify meaningful patterns emerging from the flow of Chronons, Hexacronons, and symbolic events registered within XChronos systems. While traditional blockchains rely on Proof-of-Work (PoW), Proof-of-Stake (PoS) or Proof-of-History (PoH), PoR inaugurates a new paradigm: Proof-of-Recurrence as a symbolic, cognitive, and temporal validation mechanism. PoR ensures that a pattern is only considered valid when it recurs over time, exhibits vector similarity above threshold, generates symbolic density, manifests structural coherence, reaches sufficient significance to form a Hexacronon, and can be certified through the HXS (Hexacronon Score). As a foundational document, this paper expands upon the author’s previous work “Chronons, Hectachronos, and Hexachronons” published on Zenodo. PoR provides the formal validation layer that stabilizes temporal recurrence, establishing the economic and operational substrate of the XChronos framework.

Keywords

Philosophy of Time, Cognitive Blockchain, Complex Systems, Computational Ontology, XChronos, Semantic Similarity, Temporal Consensus, Temporal Intelligence, Symbolic Time, Temporal Modeling, Chronons, Blockchain and Distributed Systems, Artificial Intelligence, Proof-of-Recurrence, HXS Score, Digital Attention (Hexa ɧ), Subjective Time Modeling, Cognitive Science, Metacronon, Vector Recurrence, Hexacronons, Ontological Idealism

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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