Abstract We generalize Einstein’s General Relativity (GR) by assuming that all matter (including macro-objects) has quantum effects. An appropriate theory to fulfill this task is Gauge Theory Gravity (GTG) developed the Cambridge group. GTG a “spin-torsion” theory, according which, gravitational effects are described pair of gauge fields defined over flat Minkowski background spacetime. The con...

For both f(R) theories of gravity with an independent symmetric connection (no torsion), usually referred to as Palatini f(R) gravity theories, and for f(R) theories of gravity with torsion but no non-metricity, called U4 theories, it has been shown that the independent connection can actually be eliminated algebraically, as long as this connection does not couple to matter. Remarkably, the out...

First, we show that a compact object C in a triangulated category, which satisfies suitable conditions, induces a t-structure. Second, in an abelian category we show that a complex P of small projective objects of term length two, which satisfies suitable conditions, induces a torsion theory. In the case of module categories, using a torsion theory, we give equivalent conditions for P to be a t...

We generalize to higher algebraic $K$-theory an identity (originally due Milnor) that relates the Reidemeister torsion of infinite cyclic cover its Lefschetz zeta function. Our involves a invariant, endomorphism torsion, parametrized family endomorphisms as well function such family. also exhibit several examples families having non-trivial torsion.

Torsion, topology and CPT anomaly in two-dimensional chiral U (1) gauge theory Abstract We consider the CPT anomaly of two-dimensional chiral U (1) gauge theory on a torus with topologically nontrivial zweibeins corresponding to the presence of spacetime torsion. The resulting chiral determinant can be expressed in terms of the standard chiral determinant without torsion, but with modified spin...

The study of modules over a finite von Neumann algebra A can be advanced by the use of torsion theories. In this work, some torsion theories for A are presented, compared and studied. In particular, we prove that the torsion theory (T,P) (in which a module is torsion if it is zero-dimensional) is equal to both Lambek and Goldie torsion theories for A. Using torsion theories, we describe the inj...

Any Thomason filtration of a commutative ring yields (at least) two t-structures in the derived category ring, one which is compactly generated [19], [20]. We study hearts these and prove that they coincide case weakly bounded below filtration. Prompted by [39], it proved heart t-structure triangulated with coproduct locally finitely presented Grothendieck category, we local coherence associate...

In two previous papers with Yi-Jen Lee, we defined and computed a notion of Reidemeister torsion for the Morse theory of closed 1-forms on a finite dimensional manifold. The present paper gives an a priori proof that this Morse theory invariant is a topological invariant. It is hoped that this will provide a model for possible generalizations to Floer theory. In two papers with Yi-Jen Lee [HL1,...

This article presents theoretical arguments that certain virtual bound states carry the trace component of affine torsion. The motivation for this work is Einstein Cartan theory, which extends general relativity by including torsion to model intrinsic angular momentum, becoming more credible. author not aware any situation there evidence or substantial argument presence trace, except in continu...