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Related papers: Irreversible vierbein postulate: Emergence of spac…

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We review the first order theory of gravity (vierbein formulation) on noncommutative spacetime studied in [1, 2]. The first order formalism allows to couple the theory to fermions. This NC action is then reinterpreted (using the…

General Relativity and Quantum Cosmology · Physics 2012-07-24 Paolo Aschieri

We investigate a gravitational model based on local Lorentz invariance and general coordinate invariance. The model incorporates classical scale invariance, which forbids dimensionful parameters, and the irreversible vierbein postulate,…

High Energy Physics - Theory · Physics 2025-02-05 Yadikaer Maitiniyazi , Shinya Matsuzaki , Kin-ya Oda , Masatoshi Yamada

This work proposes a new gravitational theory formulated in terms of the vierbein field. The vierbein contains components which can be shifted by local Lorentz transformations and therefore do not show up in the spacetime metric. These…

High Energy Physics - Theory · Physics 2019-05-20 Chrysoula Markou , Felix J. Rudolph , Angnis Schmidt-May

We construct a well-defined lattice-regularized quantum theory formulated in terms of fundamental fermion and gauge fields, the same type of degrees of freedom as in the Standard Model. The theory is explicitly invariant under local Lorentz…

High Energy Physics - Theory · Physics 2013-05-30 Alexey A. Vladimirov , Dmitri Diakonov

We propose a regularized lattice model for quantum gravity purely formulated in terms of fermions. The lattice action exhibits local Lorentz symmetry, and the continuum limit is invariant under general coordinate transformations. The metric…

High Energy Physics - Theory · Physics 2015-05-30 C. Wetterich

In this paper, we study the non commutative quantum dynamics of the spinorial field in the presence of a gravitational background within DeWitt's approach. By employing the vierbein formalism in the temporal state of non commutative…

High Energy Physics - Theory · Physics 2017-08-22 Abolfazl Jafari

In this work we propose a new gravitational setup formulated in terms of two interacting vierbein fields. The theory is the fully diffeomorphism and local Lorentz invariant extension of a previous construction which involved a fixed…

High Energy Physics - Theory · Physics 2019-01-21 Chrysoula Markou , Felix J. Rudolph , Angnis Schmidt-May

Lattice spinor gravity is a proposal for regularized quantum gravity based on fermionic degrees of freedom. In our lattice model the local Lorentz symmetry is generalized to complex transformation parameters. The difference between space…

High Energy Physics - Theory · Physics 2015-06-04 C. Wetterich

A gauge theory of the Lorentz group with a mass-dimension one gauge field coupling to matter of any spin is developed. As a completely new feature the "Vierbein" assuring local gauge invariance enters not as an independent dynamical field,…

General Relativity and Quantum Cosmology · Physics 2019-03-05 C. Wiesendanger

Gravity can be regarded as a consequence of local Lorentz (LL) symmetry, which is essential in defining a spinor field in curved spacetime. The gravitational action may admit a zero-field limit of the metric and vierbein at a certain…

High Energy Physics - Theory · Physics 2020-12-23 Shinya Matsuzaki , Shota Miyawaki , Kin-ya Oda , Masatoshi Yamada

Local inertial frame invariance is taken as the fundamental principle of physical geometry, where a local inertial frame is represented by a verbein. Invariance of the vierbein with respect to local Lorentz transformations then expresses…

General Physics · Physics 2017-07-17 L. Kannenberg

For internal gauge forces, the result of locally gauging, i.e., of performing the substitution $\partial \rightarrow D$, is physically the same whether performed on the action or on the corresponding Euler-Lagrange equations of motion.…

General Physics · Physics 2019-10-15 John Fredsted

Spinor gravity is a functional integral formulation of gravity based only on fundamental spinor fields. The vielbein and metric arise as composite objects. Due to the lack of local Lorentz-symmetry new invariants in the effective…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. Wetterich

We investigate a possible unified theory of all interactions which is based only on fundamental spinor fields. The vielbein and metric arise as composite objects. The effective quantum gravitational theory can lead to a modification of…

High Energy Physics - Theory · Physics 2009-11-10 C. Wetterich

A constraint of vanishing energy-momentum tensor is motivated by a variety of perspectives on quantum gravity. We demonstrate in a concrete example how this constraint leads to a metric-independent theory in which quantum gravity emerges as…

High Energy Physics - Theory · Physics 2017-04-26 Christopher D. Carone , Joshua Erlich , Diana Vaman

This manuscript is devoted to introduce a gauge theory of the Lorentz Group based on the ambiguity emerging in dealing with isometric diffeo-morphism-induced Lorentz transformations. The behaviors under local transformations of fermion…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Nakia Carlevaro , Orchidea Maria Lecian , Giovanni Montani

We show that the Einstein-Hilbert action for the gravitational field can be obtained as a linear low-energy approximation for the dynamical massless fields in the theory with the lagrangian quadratic in the gauge field strength-tensor of…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. V. Kiselev

The Emergence Proposal is the idea that all kinetic terms for fields in quantum gravity are emergent in the infrared from integrating out towers of states. It predicts that in a supersymmetric string theory context, the tree-level…

High Energy Physics - Theory · Physics 2023-12-27 Jarod Hattab , Eran Palti

We give a derivation of general relativity and the gauge principle that is novel in presupposing neither spacetime nor the relativity principle. We consider a class of actions defined on superspace with two key properties. The first is…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Julian Barbour , Brendan Foster , Niall Ó Murchadha

Irreversibility implies a preferred flow of time, yet special relativity denies the existence of a preferred clock. This tension has long obstructed the formulation of a relativistic master equation: standard Markovian approximations either…

Quantum Physics · Physics 2025-12-23 Pranav Vaidhyanathan , Gerard J. Milburn
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