The ISA Family — Instruction Set Architectures

All named ISAs (Instruction Set Architectures) share the same five opcodes (LABEL 🏷️ / ORBIT 🔄 / TWIST 🌀 / BIND 💎 / FLIP 👁️) — they differ only in the value of the inverse temperature β and the arithmetic they run over.

ISA β location In one phrase Paper
Origamiall β (umbrella)Five-opcode open standard; tropical at β→∞, quantum at β=it631
Forge0 < β < ∞ (real Gibbs)Free-energy routing; MGE soft threshold; snap at β*419
Meldβ = it (imaginary)Complex amplitudes; full quantum mechanics454
Ravenβ ∈ ℂ (PT-symmetric)Hot quantum computing; dissipation as resource; EP at β*Raven
Valenceβ ∈ ℂ (Raven + bonding)8-opcode chemistry extension; Frobenius bonding; orbital knots664
Motiveabstract parentFive primitive opcodes; ERASE = second lawMotive
Humβ = it/ℏ (QFT)QFT vacuum; EMIT opcode; amplituhedron as ORBIT620
Pentagoncoherence theoremMonoidal coherence; five sides = five opcodes622
Rising Seafull ℂ_β planeEvery ISA as a fibre over the β-plane621
Frogβ→∞ or β=it/ℏ (𝕆-rung)Octonion O-calculus; G₂ structure; 3-manifold computation623
Icosahedronβ=i (A₅ magic sector)Non-solvable gate set; A₅ as magic obstruction; T-gate geometry624

Full opcode reference: The ISA Opcodes · β-plane geometry: Forge & Meld · Non-associative frontier (BIND at 𝕆-rung): 731-ISA

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HotLogiQ — Five opcodes. One framework. Every scale of nature.

Author: Ian R. C. Buckley — ORCID 0009-0004-9287-2902


Get Started

  • New to HotLogiQ? Start Here
  • Browse all papers on Zenodo
  • ISA Reference
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Section Purpose
Getting Started Entry points and overview
Reference Opcodes, glossary, key structures
Theory Conceptual foundations and theory
Guides Explainers, portfolios, paper index

Documentation Structure

This site is organized for maintainability:

  • docs/getting-started/ — Primary entry points for new visitors
  • docs/reference/ — Core reference materials (opcodes, definitions, structures)
  • docs/theory/ — Theoretical explorations and advanced topics
  • docs/guides/ — Navigation guides, explainers, and indices

For detailed documentation, browse the sections above or view the full site.