Conformal connection of scalar field is shown to produce possible non-metricity in affine connection spaces. In case of self-consistent solution the non-metricity is a correction to background Riemannian structure with respect to gravitational constant and its magnitude may be essential in the early Universe.

A flow invariant in quantum field theory is a quantity that does not depend on the flow connecting the UV and IR conformal fixed points. We study the flow invariance of the most general sum rule with correlators of the trace Θ of the stress tensor. In even (four and six) dimensions we recover the results known from the gravitational embedding. We derive the sum rules for the trace anomalies a a...

scheduling is to determine the priorities or arrange the activities to meet the needs, limitations and certain goals. because the time is always a limited resource, all activities should be scheduled to use optimally and certainly the resource. gravitational force algorithm, like other evolutionary algorithms, is inspired by nature. the effect of the gravity on the objects reciprocally and to a...

In this paper we discuss field observations and modeling results examining the connection between flow-induced stratification and gravitational circulation. We present simultaneous ADCP and top and bottom salinity records collected by the USGS showing that density-driven flows are highly intermittent, with strong gravitational circulation accompanying stratification episodes. Tidal variations i...

Molecular clouds in the interstellar medium suffer gravitational instabilities that lead to the formation of one or multiple stars. A recently formed star inside a cold cloud communicates its gravitational force to the surrounding environment and soon an accretion flow falling into the star develops. After their formation, all stars soon eject a wind of gas that interacts with the external accr...

In this Letter we have derived the gravitational anomaly leading to the Hawking radiation from a fundamentally different perspective: it emerges due to the complimentary roles played by tunneling and (gravitational) anomaly. We have used the analogy of an early idea [6] of visualizing chiral gauge anomaly as an effect of spectral flow of the energy levels, from the negative energy Dirac sea, ac...