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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

The relativistic theory of unconstrained $p$-dimensional membranes($p$-branes) is further developed and then applied to the embedding model ofinduced gravity. Space-time is considered as a 4-dimensional unconstrainedmembrane evolving in an $N$-dimensional embedding space. The parameter ofevolution or the evolution time $\tau$ is a distinct concept from thecoordinate time $t = x^0$. Quantization of the theory is also discussed. Acovariant functional Schr\" odinger equations has a solution for the wavefunctional such that it is sharply localized in a certain subspace $P$ ofspace-time, and much less sharply localized (though still localized) outside$P$. With the passage of evolution the region $P$ moves forward in space-time.Such a solution we interpret as incorporating two seemingly contradictoryobservations: (i) experiments clearly indicate that space-time is a continuumin which events are existing; (ii) not the whole 4-dimensional space-time, butonly a 3-dimensional section which moves forward in time is accessible to ourimmediate experience. The notorious problem of time is thus resolved in ourapproach to quantum gravity. Finally we include sources into our unconstrainedembedding model. Possible sources are unconstrained worldlines which are freefrom the well known problem concerning the Maxwell fields generated by chargedunconstrained point particles.Comment: 22 Page

On the resolution of time problem in quantum gravity induced from unconstrained membranes