Principle of equivalence

According to the principle of equivalence [2], this acceleration creates a gravitational field whose potential is defined as the work necessary to move a unit mass from the distance r to a point free of this force field, and may be given by... 

Loring published chemistry books—Studies in Valency (1913), Atomic Theory (1921), Definition of the Principle of Equivalence (1922), and The Chemical Elements (1923). During the brief existence of the Alchemical Society, he published twenty articles (eight of them lead articles) in Chemical News on such subjects as atomic weight, the radio-atoms, the evolution of chemical elements, and a five-part Introduction to the Theory of Relativity. He also published seven correspondences in the journal, and Chemical News reviewed his Studies in Valency positively. 

The examples of polymer crystal structures shown in the previous sections are ideal structures, which can be described with the traditional concepts of the principles of equivalence and close packing or the new concepts of symmetry breaking146 and frustration.154 The models of perfect crystals are characterized by a long-range positional order for all the atoms (disregarding thermal motion). The X-ray diffraction patterns of such crystals, oriented with the chain axes along one direction (as in oriented fibers), present sharp reflections organized in layer lines. 

Furthermore, the principle of equivalence is encouraged in the TBT with members being... 

The principle of equivalence between electromagnetism and the antisymmetric Ricci tensor is... 

P. R. Holland and J. P. Vigier, Positive probabilities and the principle of equivalence for spin-zero particles in the causal stochastic interpretation of quantum mechanics, Nuovo Cimento B 88B< 1) (Ser. 2), 20-28 (1985). 

The principle of equivalence, where all bodies at the same place in a gravitational field experience the same acceleration.3... 

A very interesting result can be immediately deduced from the principle of equivalence. Suppose that the man in the box... 

It was Clausius who in an imperishable memoir reconciled Carnot s theorem with the principle of equivalence. But Clausius did not limit himself to the realization of this work, which alone would have assured him the admiration of physicists. He... 

The equation which expresses the principle of equivalence between heat and work [Chap. II, equation (4)],... 

The change in / to the value below the critical (fo = 0.63) may result in the liquid crystalline state appearing in a polymeric system which in the absence of external field or without a change in the nature of a solvent is in the isotropic state. This principle of equivalence of inherent and induced rigidity was additionally discussed in the review article by Frenkel ... 

From experience, we know that work can be changed to heat (e.g. heating of the liquid at mixing). There is thus an equivalence of work W and heat Q W = J Q, where / is a physical quantity called the mechanical equivalent of heat and its value and the dimensions are J = 4.184 J/cal (J is the unit of heat and work called Joule). This is the principle of equivalency of heat and work. 

R. H.Dicke. Principle of equivalence and weak interactions. Reviews of Modern Physics, 29, 375 (1957) also, Dirac s cosmology and Mach s principle. Nature, 192,440(1961). 

In the range of small parameters the principle of equivalence is only defined by geometric factors related with the distribution of currents within the corresponding cylindrical layer. 

Thus, in the range of small parameters a group of thin beds located against the probe is equivalent to one bed having the same conductivity and with a thickness equal to the sum of thicknesses of all beds. This principle of equivalence by S can be easily generalized for the more common case when conductivities and thicknesses of layers are different. 

To understand this statement as well as attempting to resolve one of the main inconsistencies between the relativity of acceleration and the Principle of Equivalence, we use Eq. (28) to introduce the gravitational interaction as follows (in the present case mo 0, static, spherically symmetric case), i.e. let... 

Except from the emergence of so-ealled Jordan bloeks, the equations here appear mostly to agree with the elassieal pieture. One the other hand, struetures ean be formulated inside the singularity, a eondition that is not satisfactorily resolved by all classical theories. For more details on the specific degeneracy condition, see Eq. (22), where all interactions/correlations condense or unify according to Yang s ODLRO [10], we refer to the appendix, see also Refs. [7, 9]. In the final section, we will explain how the present results remove some inadequacies of the illustrious Principle of Equivalence as well as promote the non-participation of gravitational waves. 

Relativity theory has equally dramatic implications on the nature of the vacuum, which is shown not to be a void, but a medium that supports wave motion and carries electromagnetic fields. A new perspective on the nature of the vacuum is provided by the principle of equivalence. Space-time curvature can be described mathematically by a Riemann tensor, which the principle implies, should balance the gravitational field, which is sourced in the distribution of matter. This reciprocity indicates that Euclidean space-time is free of matter, which only emerges when curvature sets in. This is interpreted to mean that the homogeneous wave field of Euclidean vacuum generates matter when curved. Like a flat sheet that develops wrinkles when wrapped arormd a curved surface, the wave field generates non-dispersive persistent wave packets in the curved vacuum. 

Governmental labelling provisions or labelling requirements must not be based on the origin of the product or its ingredients (in violation of the WTO national treatment obligation), but must strictly rely on the principle of equivalence of production methods and inspection procedures ... 

This equation is obviously not Lorentz invariant— it has x, y, and z appearing quadrat-ically but t appearing linearly, which violates the relativistic principle of equivalence of spatial and temporal variables. Since we know that the nonrelativistic classical Hamiltonian is not Lorentz invariant, it is no surprise that neither is the nonrelativistic... 

Performance variability The contemporary approach to safety (Safety-II) is based on the principle of equivalence of successes and failures and the principle of approximate adjustments. Performance is therefore in practice always variable. The performance variability may propagate from one activity or function to others and thereby lead to non-linear or emergent effects. 

It should be noted that in 1911 Einstein had expanded his theoretical consideration of noninertial systems and had suggested the general relativistic theory of gravitation. On the basis of this theory Einstein postulated the principle of equivalence the action of a gravitational field is equivalent to the action of accelerated motion of a system. Corresponding mathematical expressions can be interpreted that any mass perturbs the enviromnental space therefore all bodies will move on the trajectories curved in a vicinity of the disturbing mass while approaching it. 

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