arXiv subjects

Andrei T. Patrascu

Publications and source records attributed to Andrei T. Patrascu.

32 records · Page 2Linked to original sources

arXiv2022

Emergence of non-abelian gauge theories and the ER-EPR duality

Making use of the emergence of an entangling gate from the Mayer Vietoris maps generating a torus and employing the correspondence between quantum error correction codes and gauge symmetries I show that non-abelian gauge theories are related to the existence of entanglement. This observation is based on the fact that string compactification on a torus provide non-trivial fluxes (gaugings) when the twists are chosen such that the obtained torus matches the maps arising in the Mayer-Vietoris theorem which result in entangling gates. This observation adds new indications towards the fact that low energy non-abelian gauge theories emerge from entanglement related phenomena.

physics.gen-ph↗

arXiv2021

The Universal Coefficient Theorem, Wormholes, and the Island

I analyse the extension of the Ryu Takayanagi formula from the perspective of the universal coefficient theorem and cohomology with different coefficients. Looking at the axioms of cohomology, the so called Eilenberg-Steenrod axioms, the third axiom states that the cohomology of a point is trivial in all orders. If this axiom is abandoned the point may have additional structure. This phenomenon is not unusual in physics, a simple example for that being the spin structure or even the point particle to string transition. I studied the transition between different coefficients in cohomology and hence between different structures of the geometrical point by means of the universal coefficient theorem. The results may have impact on recent island calculations of the black hole radiation entropy and the Page curve as well as on a potential mapping of higher genus diagrams to genus one diagrams in the topological expansion of string theory.

physics.gen-ph↗

arXiv2019

H0 tensions in cosmology and axion pseudocycles in the stringy universe

The tension between early and late H0 is revised in the context of axion dark matter arising naturally from string theoretical integrations of antisymmetric tensor fields over non-trivial cycles. Certain early universe cycles may appear non-trivial from the perspective of a homology analysis focused on the early universe, while they may become trivial, when analysed from the perspective of a homology theory reaching out to lower energies and later times. Such phenomena can introduce variations in the axion potential that would explain the observed H0 tension.

physics.gen-ph↗

arXiv2018

Axion mass and quantum information

I present a novel way of linking the shift in the axion mass due to non-perturbative gravitational effects and the quantum information interpretation of the holographic principle. The main result of this article is a novel way of expressing the shift in the axion mass by means of properties of the tensor network used in the construction of the quantum information interpretation of the holographic principle. Indeed it appears that the axion mass shift can be seen as a geometric property of the holographic bulk entanglement. Moreover, the explicit breaking of the continuous Peccei-Quinn symmetry by gravitational instantons can be regarded as a result of including tensors encoding gauge fields on the holographic bulk tensor network.

hep-th↗

arXiv2018

On the T-dual renormalisation of entanglement entropy

Imposing T-duality in the renormalisation process of entanglement entropy leads to new relations between entanglement entropy counter-terms. T-duality is made explicit by means of the generalised metric of double field theory in the context of bulk-boundary duality. Double field theory in the bulk naturally provides the new relations between higher order quantum corrections to entanglement entropy as well as a systematic approach to understanding entanglement entropy renormalisation counter-terms. An analogue for Slavnov-Taylor identities for T-dual counter-terms of entanglement entropy is envisaged.

hep-th↗

arXiv2017

Multipartite entanglement via the Mayer-Vietoris theorem

The connection between entanglement and topology manifests itself in the form of the ER-EPR duality. This statement however refers to the maximally entangled states only. In this article I study the multipartite entanglement and the way in which it relates to the topological interpretation of the ER-EPR duality. The $2$ dimensional genus $1$ torus will be generalised to a $n$-dimensional general torus, where the information about the multipartite entanglement will be encoded in the higher inclusion maps of the Mayer-Vietorist sequence.

hep-th↗

arXiv2017

Global aspects of the renormalization group and the Hierarchy problem

The discovery of the Higgs boson by the ATLAS and CMS collaborations allowed us to precisely determine its mass being 125.09 $\pm$ 0.24GeV. This value is intriguing as it lies at the frontier between the regions of stability and meta-stability of the standard model vacuum. It is known that the hierarchy problem can be interpreted in terms of the near criticality between the two phases. The coefficient of the Higgs bilinear in the scalar potential, $m^{2}$, is pushed by quantum corrections away from zero, towards the extremes of the interval $[-M^{2}_{Pl},M^{2}_{Pl}]$ where $M_{Pl}$ is the Planck mass. In this article, I show that demanding topological invariance for the renormalisation group allows us to extend the beta functions such that the particular value of the Higgs mass parameter observed in our universe regains naturalness. In holographic terms, invariance to changes of topology in the bulk is dual to a natural large hierarchy in the boundary quantum field theory. The demand of invariance to topology changes in the bulk appears to be strongly tied to the invariance of string theory to T-duality in the presence of H-fluxes.

physics.gen-ph↗

arXiv2017

Entanglement, space-time and the Mayer-Vietoris theorem

Entanglement appears to be a fundamental building block of quantum gravity leading to new principles underlying the nature of quantum space-time. One such principle is the ER-EPR duality. While supported by our present intuition, a proof is far from obvious. In this article I present a first step towards such a proof, originating in what is known to algebraic topologists as the Mayer-Vietoris theorem. The main result of this work is the re-interpretation of the various morphisms arising when the Mayer-Vietoris theorem is used to assemble a torus-like topology from more basic subspaces on the torus in terms of quantum information theory resulting in a quantum entangler gate (Hadamard and c-NOT).

physics.gen-ph↗

arXiv2017

Black Holes, Information and the Universal Coefficient Theorem

This note is to bring to the reader's attention the fact that general relativity and quantum mechanics differ from each other in one main aspect. General relativity is based on the diffeomorphism covariant formulation of the laws of physics while quantum mechanics is constructed such that its fundamental laws remain invariant to a change of topology. It is the goal of this paper to show that in order to obtain a complete description of quantum gravity one has to extend the principle of diffeomorphism invariance from general relativity in the sense of quantum mechanics i.e. the laws of physics must be covariant to a change in the topology of spacetime. On the practical side, I provide an answer to the black hole information paradox: the missing information is permanently encoded in the higher cohomology of the quantum field space allowed by the given situation. Notions like entanglement become dependent on choices of coefficients in cohomology. There remains still an uncertainty principle, namely the one given by the incompatibility of various choices of coefficients required for the construction of the cohomology. In this way the answer to the unitarity problem appears to be : indeed, unitarity is restored, as required by standard quantum mechanics but one still needs an extended uncertainty principle (envisioned already by Hawking) which has an exact formulation in the universal coefficient theorem.

physics.gen-ph↗

arXiv2015

ExoMol molecular line lists: IX The spectrum of AlO

Accurate line lists are calculated for aluminium monoxide covering the pure rotation, rotation-vibration and electronic (B -- X blue-green and A -- X infrared bands) spectrum. Line lists are presented for the main isotopologue, $^{27}$Al$^{16}$O, as well as for $^{27}$Al$^{17}$O, $^{27}$Al$^{18}$O and $^{26}$Al$^{16}$O. These line lists are suitable for high temperatures (up to 8000 K) including those relevant to exoplanetary atmospheres and cool stars. A combination of empirical and \textit{ab initio} methods is used: the potential energy curves were previously determined to high accuracy by fitting to extensive data from analysis of laboratory spectra; a high quality {\it ab initio} dipole moment curve is calculated using quadruple zeta basis set and the multi-reference configuration interaction (MRCI) method. Partition functions plus full line lists of transitions are made available in an electronic form as supplementary data to this article and at \url{www.exomol.com}.

astro-ph.GA↗

arXiv2015

A quantum field theoretical approach to the P vs. NP problem via the sign of the fermionic Quantum Monte Carlo

I present here a new method that allows the introduction of a discrete auxiliary symmetry in a theory in such a way that the eigenvalue spectrum of the fermion functional determinant is made up of complex conjugated pairs. The method implies a particular way of introducing and integrating over auxiliary fields related to a set of artificial shift symmetries. Gauge-fixing the artificial continuous shift symmetries in the direct and dual sectors leads to the implementation of direct and dual BRST-type global symmetries and of a symplectic structure over the field space (as prescribed by the Batalin-Vilkovisky method). A procedure similar to Kahler polarization in geometric quantization guarantees the possibility to choose a Kahler structure over the field space. This structure is generated by a special way of performing gauge fixing over the direct and dual sectors. The desired discrete symmetry appears to be induced by the Hodge-* operator. The particular extension of the field space presented here makes the operators of the de-Rham cohomology manifest. These become symmetries in the extended theory. This method implies the identification of the (anti)-BRST and dual-(anti)-BRST operators with the exterior derivative and its dual in the context of the complex de-Rham cohomology.

physics.gen-ph↗

arXiv2014

The quantization of topology, from quantum Hall effect to quantum gravity

It is the goal of this article to extend the notion of quantization from the standard interpretation focused on non-commuting observables defined starting from classical analogues, to the topological equivalents defined in terms of coefficient groups in (co)homology. It is shown that the commutation relations between quantum observables become (non)compatibility relations between coefficient groups. The main result is the construction of a new, higher-level form of quantization, as seen from the perspective of the universal coefficient theorem. This idea brings us closer to a consistent quantization of gravity, allows for a systematic description of topology changing string interactions but also gives new, quantum-topological degrees of freedom in discussions involving quantum information. On the practical side, a possible connection to the fractional quantum Hall effect is explored.

physics.gen-ph↗

arXiv2014

On quantization and general relativity

physics.gen-ph↗

arXiv2014

Quantization, Holography and the Universal Coefficient Theorem

I present a method of performing geometric quantization using cohomology groups extended via coefficient groups of different types. This is possible according to the Universal Coefficient Theorem (UTC). I also show that by using this method new features of quantum field theory not visible in the previous treatments emerge. The main observation is that the ideas leading to the holographic principle can be interpreted in the context of the universal coefficient theorem from a totally different perspective.

physics.gen-ph↗