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Gravity theory missed a key dynamical process that became apparent only when expressed in terms of a velocity field, instead of the Newtonian gravitational acceleration field. This dynamical process involves an additional self-interaction…

综合物理 · 物理学 2012-12-19 Reginald T. Cahill , Samuel T. Deane

In the framework of the theory of scale relativity, we suggest a solution to the cosmological problem of the formation and evolution of gravitational structures on many scales. This approach is based on the giving up of the hypothesis of…

天体物理学 · 物理学 2015-06-24 Daniel da Rocha , Laurent Nottale

The new `quantum-foam in-flow' theory of gravity has explained numerous so-called gravitational anomalies, particularly the `dark matter' effect which is now seen to be a dynamical effect of space itself, and whose strength is determined by…

综合物理 · 物理学 2010-07-14 Reginald T. Cahill

The new information-theoretic Process Physics has shown that space is a quantum foam system with gravity being, in effect, an inhomogeneous in-flow of the quantum foam into matter. The theory predicts that absolute motion with respect to…

综合物理 · 物理学 2010-07-14 Reginald T. Cahill

Precanonical quantization is based on a generalization of the Hamiltonian formalism to field theory, the so-called De Donder-Weyl (DW) theory, which does not require a spacetime splitting and treats the space-time variables on an equal…

广义相对论与量子宇宙学 · 物理学 2016-02-16 Igor V. Kanatchikov

We show that the uncertainty in distance and time measurements found by the heuristic combination of quantum mechanics and general relativity is reproduced in a purely classical and flat multi-fractal spacetime whose geometry changes with…

高能物理 - 理论 · 物理学 2017-09-22 Gianluca Calcagni , Michele Ronco

Recently proposed quantization in field theory based on an analogue of Hamiltonian formulation which treats space and time on equal footing (the so-called De Donder-Weyl theory) is applied to General Relativity in metric variables. We…

广义相对论与量子宇宙学 · 物理学 2007-05-23 I. V. Kanatchikov

The scale transformation laws produce, on the motion equations of gravitating bodies and under some peculiar assumptions, effects which are anologous to those of a "macroscopic quantum mechanics". When we consider time and space scales such…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Marie-Noelle Celerier , Laurent Nottale

We present a gravitational quantum dynamics theory that combines quantum field theory for particle dynamics in space-time with classical Einstein's general relativity in a non-Riemannian Finsler space. This approach is based on the…

广义相对论与量子宇宙学 · 物理学 2021-01-05 Ivano Tavernelli

We regard the non-relativistic Schrodinger equation as an ensemble mean representation of the stochastic motion of a single particle in a vacuum, subject to an undefined stochastic quantum force. The local mean of the quantum force is found…

量子物理 · 物理学 2017-10-17 Roumen Tsekov , Eyal Heifetz , Eliahu Cohen

Using Nottale's theory of scale relativity relying on a fractal space-time, we derive a generalized Schr\"odinger equation taking into account the interaction of the system with the external environment. This equation describes the…

综合物理 · 物理学 2017-11-27 Pierre-Henri Chavanis

The dynamical equations describing the evolution of a self-gravitating fluid can be rewritten in the form of a Schrodinger equation coupled to a Poisson equation determining the gravitational potential. This wave-mechanical representation…

天体物理学 · 物理学 2009-11-07 Peter Coles , Kate Spencer

In this thesis we investigate quantum mechanical effects to various aspects of gravitational collapse. These quantum mechanical effects are implemented in the context of the Functional Schr\"odinger formalism. The Functional Schr\"odinger…

广义相对论与量子宇宙学 · 物理学 2010-01-13 Eric Greenwood

Numerous experiments and observations have confirmed the existence of a dynamical 3-space, detectable directly by light-speed anisotropy experiments, and indirectly by means of novel gravitational effects, such as bore hole g anomalies,…

综合物理 · 物理学 2010-11-16 Richard D May , Reginald T Cahill

We take a closer and new look at the effects of tidal forces on the free fall of a quantum particle inside a spherically symmetric gravitational field. We derive the corresponding Schr\"odinger equation for the particle by starting from the…

广义相对论与量子宇宙学 · 物理学 2022-03-01 F. Hammad , P. Sadeghi , N. Fleury , A. Leblanc

Special relativity combined with the stochastic vacuum flux impact model lead to an explicit interpretation of many of the phenomena of elementary quantum mechanics. We examine characteristics of a repetitively impacted submicroscopic…

综合物理 · 物理学 2007-05-23 C. L. Herzenberg

Using classical statistics, Schrodinger equation in quantum mechanics is derived from complex space model. Phase-space probability amplitude, that can be defined on classical point of view, has connections to probability amplitude in…

量子物理 · 物理学 2007-05-23 Kiyoung Kim

We have recently proposed a new general concept of macroscopic quantum-type experiment. It amounts to transform a classical fluid into a quantum-type fluid by the application of a quantum-like potential, either directly in a stationary…

综合物理 · 物理学 2009-01-12 Laurent Nottale

According to Schroedinger's ideas, classical dynamics of point particles should correspond to the " geometrical optics " limit of a linear wave equation, in the same way as ray optics is the limit of wave optics. It is shown that, using…

广义相对论与量子宇宙学 · 物理学 2007-11-19 Mayeul Arminjon

In this letter recent developments are shown in experimental and theoretical physics which brings into question the validity of General Relativity. This letter emphasizes the construction of a fractal 3+\phi^3 spacetime, in N-dimensions in…

综合物理 · 物理学 2007-05-23 E. F. Halerewicz
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