17 citations · 64 across the 12 of their papers we have counts for
12 papers
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…
Informationally complete characters for quark and lepton mixings
Michel Planat, Raymond Aschheim, Marcelo M. Amaral +1
A popular account of the mixing patterns for the three generations of quarks and leptons is through the characters of a finite group . Here we introduce a -dimensional Hi…
Quantum computation and measurements from an exotic space-time R4
Michel Planat, Raymond Aschheim, Marcelo. M. Amaral +1
The authors previously found a model of universal quantum computation by making use of the coset structure of subgroups of a free group with relations. A valid subgroup of…
Group geometrical axioms for magic states of quantum computing
Michel Planat, Raymond Aschheim, Marcelo M. Amaral +1
Let be a non trivial subgroup of index of a free group and the normal closure of in . The coset organization in a subgroup of provides a group of…
Quantum Gravity at the Fifth Root of Unity
Marcelo Amaral, Raymond Aschheim, Klee Irwin
We consider quantum transition amplitudes, partition functions and observables for 3D spin foam models within quantum group deformation symmetry, where the deformation para…
Quantum computing, Seifert surfaces and singular fibers
Michel Planat, Raymond Aschheim, Marcelo M. Amaral +1
The fundamental group of a knot or link may be used to generate magic states appropriate for performing universal quantum computation and simultaneously for retrieving…
Quantum computing with Bianchi groups
Michel Planat, Raymond Aschheim, Marcelo M. Amaral +1
It has been shown that non-stabilizer eigenstates of permutation gates are appropriate for allowing -dimensional universal quantum computing (uqc) based on minimal informational…
Emergence of an aperiodic Dirichlet space from the tetrahedral units of an icosahedral internal space
Amrik Sen, Raymond Aschheim, Klee Irwin
We present the emergence of a root system in six dimensions from the tetrahedra of an icosahedral core known as the 20-group (20G) within the framework of Clifford's geometric alge…
Anamorphic Quasiperiodic Universes in Modified and Einstein Gravity with Loop Quantum Gravity Corrections
Marcelo M. Amaral, Raymond Aschheim, Laurenţiu Bubuianu +3
The goal of this work is to elaborate on new geometric methods of constructing exact and parametric quasiperiodic solutions for anamorphic cosmology models in modified gravity theo…
Starobinsky Inflation and Dark Energy and Dark Matter Effects from Quasicrystal Like Spacetime Structures
R. Aschheim, L. Bubuianu, Fang Fang +3
The goal of this work on mathematical cosmology and geometric methods in modified gravity theories, MGTs, is to investigate Starobinsky-like inflation scenarios determined by gravi…
The Unexpected Fractal Signatures in Fibonacci chains
Fang Fang, Raymond Aschheim, Klee Irwin
Quasicrystals are fractal due to their self similar property. In this paper, a new cycloidal fractal signature possessing the cardioid shape in the Mandelbrot set is presented in t…
Spin foam with topologically encoded tetrad on trivalent spin networks
Raymond Aschheim
We explore discrete approaches in LQG where all fields, the gravitational tetrad, and the matter and energy fields, are encoded implicitly in a graph instead of being additional da…