A beginner-friendly entry point to local quantum dynamics, causal cones, Weyl limits, and the distinctions needed to read a research atlas carefully.
Use this site for: orientation, examples, and a first pass through the family structure.
Use the canonical atlas for: exact status, quantifiers, sources, certificates, and claim ceilings.
A local quantum lattice can interact only with its neighbours in one step. This creates a microscopic causal cone.
The central question is:
When a local dynamics is observed at large scales,
is the speed in its emergent relativistic equation
> determined by the lattice's causal cone?Do not conflate the causal support, maximum group velocity, and low-energy speed c_IR. In more than one dimension, anisotropy can hide behind a single number.
The recommended route moves from the basic objects to the limits of what each family supports. The chapters open on GitHub.
Short answers with public sources. Respuestas breves con fuentes públicas.
A quantum cellular automaton is a system of quantum degrees of freedom on a lattice, updated in discrete time by reversible quantum dynamics with a strict bound on how far information can propagate in each step.
Sources: QCA review — Terry Farrelly · Introductory chapter
A QCA describes a many-body quantum system. A discrete-time quantum walk describes a particle moving among positions, possibly with internal states. Suitable quantum walks can be lifted to many-body QCAs, but the two objects are not interchangeable.
Sources: QCA review, sections 1.2 and 6.4
This free student atlas by José Ignacio Martín Gandul offers six introductory chapters: the physical question, QCA and quantum walks, a Weyl example on a BCC lattice, how to read a family, relations, and obstructions. Basic quantum mechanics and linear algebra are assumed.
Sources: Reading route and prerequisites
A local update rule bounds information propagation. That bound, the maximum group velocity and the speed in a low-energy relativistic equation are different quantities; equality needs additional assumptions. A model in lattice units does not by itself determine a speed in metres per second.
Sources: The physical question · Weyl example and limits
No. A Weyl-like low-energy limit is not by itself a dynamical metric, a gravitational source or a theory of gravity. Each stronger claim requires its own observable, assumptions and evidence.
Sources: Weyl example: scope · Failures and obstructions
Compare dimension, internal states, lattice and cell, update rule, observables and allowed equivalences. Then compare what each test actually establishes. Sharing a lattice or a continuum equation does not establish that two models are equivalent.
Sources: How to read a family · Families and relations
The student edition is credited to José Ignacio Martín Gandul. Cite the title QCA/QW Atlas — student edition, the author, its public URL and the GitHub revision or access date used. It is a pedagogical guide; original research papers should be cited separately.
Sources: Public source · Provenance
The six student chapters and their source are public. The canonical qca-causal-cones research repository is private and requires access. This website does not expose those private certificates or establish the current status of unpublished research claims.
Sources: Public reading route · Public source
Un autómata celular cuántico es un sistema de grados de libertad cuánticos en una red, actualizado en pasos discretos mediante una dinámica reversible con un límite estricto a la propagación de información en cada paso.
Fuentes: QCA review — Terry Farrelly · Introductory chapter
Un QCA describe un sistema cuántico de muchos cuerpos. Una caminata cuántica discreta describe una partícula que se mueve entre posiciones y puede tener estados internos. Algunas caminatas se pueden extender a QCA de muchos cuerpos; no son objetos intercambiables.
Fuentes: QCA review, sections 1.2 and 6.4
Este atlas gratuito de José Ignacio Martín Gandul ofrece seis capítulos: la pregunta física, QCA y caminatas cuánticas, un ejemplo de Weyl en una red BCC, cómo leer una familia, relaciones y obstrucciones. Presupone mecánica cuántica y álgebra lineal básicas; los capítulos están en inglés.
Fuentes: Reading route and prerequisites
La regla local limita la propagación de información. Ese límite, la velocidad de grupo máxima y la velocidad de una ecuación relativista de baja energía son magnitudes distintas; su igualdad requiere hipótesis adicionales. Un modelo en unidades de red no fija por sí solo una velocidad en metros por segundo.
Fuentes: The physical question · Weyl example and limits
No. Un límite de baja energía de tipo Weyl no constituye por sí solo una métrica dinámica, una fuente gravitatoria ni una teoría de la gravedad. Cada afirmación más fuerte requiere observables, hipótesis y evidencia propios.
Fuentes: Weyl example: scope · Failures and obstructions
Compara dimensión, estados internos, red y celda, regla de evolución, observables y equivalencias permitidas. Después compara qué establece cada prueba. Compartir una red o una ecuación continua no demuestra que dos modelos sean equivalentes.
Fuentes: How to read a family · Families and relations
La edición para estudiantes está atribuida a José Ignacio Martín Gandul. Cita el título QCA/QW Atlas — student edition, el autor, la URL pública y la revisión de GitHub o fecha de consulta utilizada. Es una guía didáctica; los trabajos de investigación originales se citan por separado.
Fuentes: Public source · Provenance
Los seis capítulos didácticos y su fuente son públicos. El repositorio canónico de investigación qca-causal-cones es privado y requiere acceso. Esta web no publica sus certificados privados ni establece el estado actual de resultados de investigación no publicados.
Fuentes: Public reading route · Public source
A shared lattice, word, or equation does not make two families equivalent. Always compare their quantifiers, observables, and tests.
The atlas records several different kinds of connection:
Read the guided explanation or inspect the canonical relations map (private; access required).
A Weyl-like low-energy equation is not automatically a metric, a theory of gravity, or an absolute physical speed. A gauge architecture is not automatically a microscopic gauge symmetry.
This result supports the claim ___, under ___;
it does not support the claim ___.Read the failures and obstructions to see where apparently plausible conclusions stop.