English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

After leading to a new axiomatic derivation of quantum theory, the newinformational paradigm is entering the domain of quantum field theory,suggesting a quantum automata framework that can be regarded as an extension ofquantum field theory to including an hypothetical Planck scale, and with theusual quantum field theory recovered in the relativistic limit of smallwave-vectors. Being derived from simple principles (linearity, unitarity,locality, homogeneity, isotropy, and minimality of dimension), the automatatheory is quantum ab-initio, and does not assume Lorentz covariance andmechanical notions. Being discrete it can describe localized states andmeasurements (unmanageable by quantum field theory), solving all the issuesplaguing field theory originated from the continuum. These features make thetheory an ideal framework for quantum gravity, with relativistic covariance andspace-time emergent solely from the interactions, and not assumed a priori. Thepaper presents a synthetic derivation of the automata theory, showing how fromthe principles lead to a description in terms of a quantum automaton over aCayley graph of a group. Restricting to Abelian groups we show how the automatarecover the Weyl, Dirac and Maxwell dynamics in the relativistic limit. Weconclude with some new routes about the more general scenario of non-AbelianCayley graphs.

Free quantum field theory from quantum cellular automata: derivation of Weyl, Dirac and Maxwell quantum cellular automata