Amaroo’s Consensus Strategy: Ultra Terminum

Abstract

This paper explains and constructs Amaroo’s consensus mechanism: Ultra Terminum.

Ultra Terminum (UT) is a proof-agnostic cross-chain consensus strategy with multiple scaling configurations, and provides a practical solution to the Blockchain Trilemma (a.k.a. Scalability Trilemma). Although UT is proof-agnostic, using Proof of Work as the foundational method of proof provides decisive advantages to security, scalability, and user experience. […]

Proof of Reflection, a new consensus primitive, is the key to UT’s performance and security. Proof of Work configurations of UT meet or exceed the security of traditional PoW blockchains. […]

The full abstract, with the paper’s scaling figures, is on page 1 of the PDF.

Contents

1. Introduction, page 4
2. Proof of Reflection, page 9
3. UT_i: Constructing Ultra Terminum, page 37
4. Practical Considerations for UT’s Design, page 48
5. Scaling Complexity Analysis of Ultra Terminum, page 105
6. UT_ℵ: Tiling Simplexes, page 115
7. Attacks, page 128
8. Conclusions, page 131
9. Criticisms of UT, page 135

Then notation and nomenclature, a glossary, lists of figures and tables, references and three appendices (pages 136-155).

How to cite

@misc{kaye2025ultraterminum,
  author       = {Kaye, Max},
  title        = {{Amaroo's Consensus Strategy: Ultra Terminum}},
  year         = {2025},
  month        = jul,
  note         = {Version 1.1},
  howpublished = {\url{https://amaroo.com/whitepaper}},
  url          = {https://amaroo.com/whitepaper}
}