One of the key conceptual challenges in quantum gravity is to understand how theory should modify very notion spacetime. way investigate this question study alternatives Schr\"odinger mechanics. The polymer representation, inspired by loop gravity, can be understood as capturing features discrete spatial geometry. modular on other hand, has a built-in unification position and momentum polarizations via length scale. In paper, we introduce representations Weyl algebra, which neither nor...

We consider the possibility that, in semiclassical Einstein equation for cosmological spacetimes, gravity is sourced by amount of stress-energy that above instantaneous ground state. For this to be consistent, Bianchi identities must continue hold. This nontrivial, because it means state expectation value tensor covariantly conserved spite fact generally a different at times. prove consistency condition does As consequence, we find vacuum which not renormalize constant, as long states and...

A bstract We show the $$ T\overline{T} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>T</mml:mi> <mml:mover> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> deformation of two-dimensional quantum field theories is equivalent to replacing spacetime dependence fields with on indices infinitely large matrices. how this correspondence explains CDD phase dressing S -matrix and general formula for arbitrary correlation functions. also describe Moyal self-dual gravity a theory...

We propose a new framework for matrix theories that are equivalent to field on toroidal spacetime. The correspondence is accomplished via infinite Toeplitz matrices whose entries match the degrees of freedom an energy-momentum lattice, thereby replacing background geometry with indices. These can then be embedded into purely cubic action single and combined common universality class. reconstruct Standard Model in this discuss its extensions within same

Abstract After vaccinating health care workers and vulnerable groups against COVID-19, authorities will need to decide how vaccinate everyone else. Prioritising individuals with more contacts can be disproportionately effective, in theory, but identifying these is difficult. Here we show that the technology underlying Bluetooth exposure notification applications, such as used for digital contact tracing, leveraged prioritise vaccination based on individual data. Our approach insight apps...

Vaccinating individuals with more exposure to others can be disproportionately effective, in theory, but identifying these is difficult and has long prevented implementation of such strategies. Here, we propose how the technology underlying digital contact tracing could harnessed boost vaccine coverage among individuals. In order assess impact this “hot-spotting” proposal model spread disease using percolation a collection analytical techniques from statistical physics. Furthermore,...

After vaccinating health care workers and vulnerable groups against COVID-19, authorities will need to decide how vaccinate everyone else. Prioritising individuals with more contacts can be disproportionately effective, in theory, but identifying these is difficult. Here we show that the technology underlying Bluetooth exposure notification applications, such as used for digital contact tracing, leveraged prioritise vaccination based on individual data. Our approach insight apps also act...

The modular spaces are a family of polarizations the Hilbert space that based on Aharonov's variables and carry rich geometric structure. We construct here, step by step, Feynman path integral for quantum harmonic oscillator in polarization. This is endowed with novel features such as new action, winding modes, an Aharonov-Bohm phase. Its saddle points sequences superposition states they non-classical concept locality alignment understanding reference frames. action found can be understood...

Despite the success of our best models in Theoretical Physics, especially concerning Cosmology and Particle we still face persistent challenges. Among them have cosmological singularity problem, understanding late-time acceleration Universe, comprehending fundamental nature time. We believe relevant new insights to tackle each these issues may be found Philosophy Cosmology. elaborate on three philosophical principles that shall guide us how improve current theories. They are Copernican...

We show that a class of matrix theories can be understood as an extension quantum field theory which has non-local interactions. This reformulation is based on the Wigner-Weyl transformation, and interactions take form Moyal product doubled geometry. recover local dynamics spacetime low-energy limit. framework opens up possibility for studying novel high-energy phenomena, including unification gauge geometric symmetries in theory.

We show the $T\bar{T}$ deformation of two-dimensional quantum field theories is equivalent to replacing spacetime dependence fields with on indices infinitely large matrices. how this correspondence explains CDD phase dressing $S$-matrix and general formula for arbitrary correlation functions. also describe Moyal self-dual gravity a theory described by Chalmers-Siegel action, where defined plane interactions.