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quant-ph2025
A Hierarchy of Fibonacci Forbidden-Word Hamiltonians: From the Golden Chain to the Plastic Chain and Aperiodic Order
Marcelo Maciel Amaral
We introduce an infinite, scale-aligned hierarchy of one-dimensional, frustration-free Hamiltonians by forbidding the minimal forbidden factors of the Fibonacci word up to length $…
cs.AI2025
The Lock-In Phase Hypothesis: Identity Consolidation as a Precursor to AGI
Marcelo Maciel Amaral, Raymond Aschheim
Large language models (LLMs) remain broadly open and highly steerable: they imitate at scale, accept arbitrary system prompts, and readily adopt multiple personae. By analogy to hu…
quant-ph2025
Consistent Simulation of Fibonacci Anyon Braiding within a Qubit Quasicrystal Inflation Code
Marcelo M. Amaral
The simulation of non-Abelian anyon braiding is a critical step towards fault-tolerant quantum computation. We introduce a framework for this task based on a one-dimensional Quasic…