8-Spinor Quantum Gravity

نویسنده

  • Marcus S. Cohen
چکیده

Quantum gravity has been so elusive because we have tried to approach it by two paths which can never meet: quantum mechanics and general relativity. These contradict each other not only in superdense regimes, but also in the vacuum. We explore a straight road to quantum gravity here—the one mandated by Clifford-algebra covariance. This bridges the gap from microscales— where the massive Dirac propagator is a sum over null zig-zags—to macroscales— where we see the energy-momentum current, ∗T and the resulting Einstein curvature, ∗G. For massive particles, ∗T flows in the “cosmic time” direction, y—centrifugally in an expanding universe. Neighboring centrifugal currents of ∗T present opposite spacetime vorticities ∗G to the boundaries of each others’ worldtubes, so they advect— i.e. attract, as we show here by integrating a Spinc-4 Lagrangian by parts in the spinfluid regime. This boundary integral not only explains why stress-energy ∗T is the source for gravitational curvature ∗G, but also gives a value for the gravitational constant, κ (

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Global constants in (2+1)–dimensional gravity

The extended conformal algebra so(2, 3) of global, quantum, constants of motion in 2+1 dimensional gravity with topology R × T 2 and negative cosmological constant is reviewed. It is shown that the 10 global constants form a complete set by expressing them in terms of two commuting spinors and the Dirac γ matrices. The spinor components are the globally constant holonomy parameters, and their r...

متن کامل

Spinor Couplings to Dilaton Gravity induced by the Dimensional Reduction of Topologically Massive Gravity

A Dirac spinor is coupled to topologically massive gravity and the D = 3 dimensional action is reduced toD = 2 dimensions with a metric that includes both the electromagnetic potential 1-form A and a dilaton scalar φ. The reduced, electrically charged spinor is made a mass eigenstate with a (local) chiral rotation. The non-trivial interactions thus induced are discussed. [email protected] ...

متن کامل

Nonperturbative Newtonian coupling in Einstein gravity with Dirac fields

– We investigate the exact renormalization group (RG) in Einstein gravity coupled to N-component spinor field, working in the effective average action formalism and background field method. The truncated evolution equation is obtained for the Newtonian and cosmological constants. We have shown that screening or antiscreening behaviour of the gravitational coupling depends crucially on the numbe...

متن کامل

Conformal Anomaly in 4D Gravity-Matter Theories Non-minimally Coupled with Dilaton

Abstract The conformal anomaly for 4D gravity-matter theories, which are non-minimally coupled with the dilaton, is systematically studied. Special care is taken for: rescaling of fields, treatment of total derivatives, hermiticity of the system operator and choice of measure. Scalar, spinor and vector fields are taken as the matter quantum fields and their explicit conformal anomalies in the g...

متن کامل

The massive Elko spinor field in the de Sitter braneworld model

The Elko spinor field is a spin 1/2 fermionic quantum field with a mass dimension introduced as a candidate of dark matter. In this work, we study the localization of Elko fields on a de Sitter thick brane constructed by a canonical or phantom scalar field. By presenting the mass-independent potentials of Kaluza-Klein (KK) modes in the corresponding Schrödinger equations, it is shown that the E...

متن کامل

Tensor and spin representations of SO(4) and discrete quantum gravity

Abstract. Starting from the defining transformations of complex matrices for the SO(4) group, we construct the fundamental representation and the tensor and spinor representations of the group SO(4). Given the commutation relations for the corresponding algebra, the unitary representations of the group in terms of the generalized Euler angles are constructed. These mathematical results help us ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008