Niñez y filosofía

Friedman, Melvin J.; Carretero, Luis Abad

doi:10.2307/40098475

Cited by 3 publications

(3 citation statements)

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“…In [10], we propose an experiment to test the Clock Hypothesis and to measure the maximal acceleration.…”

Section: Kündig's Experiments and Its Consequencesmentioning

confidence: 99%

The maximal acceleration, extended relativistic dynamics and Doppler type shift for an accelerated source

Friedman¹

2011

Annalen der Physik

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Based on the generalized principle of relativity and the ensuing symmetry, it has been shown that if the Clock Hypothesis is not true, there is a universal maximal acceleration am. We present here an extension of relativistic dynamics for which all admissible solutions will have have a speed bounded by the speed of light c and the acceleration bounded by am. An additional Doppler type shift for an accelerated source is predicted. The formulas for such shift are the same as for the usual Doppler shift with v/c replaced by a/am.The W. Kündig experiment of measurement of the transverse Doppler shift in an accelerated system was also exposed to a longtitudal shift due to the acceleration. This experiment, as reanalyzed by Kholmetskii et al., shows that the Clock Hypothesis is not valid. Based on the results of this experiment, we predict that the value of the maximal acceleration am is of the order 10 19 m/s 2 . Moreover, our analysis provides a way to measure experimentally the maximal acceleration with existing technology. Transformation between uniformly accelerated systemsThe Lorentz transformations of special relativity can be derived from the principle of special relativity alone, without assuming the constancy of the speed of light (see [1], ch. 1). It was also shown in [1] that the relativistic dynamic equation can be derived from Newton's second law and the boundedness of the speed by the speed of light. This derivation uses the Locality Hypothesis, formulated in [12] and [13], that an accelerated observer is at each instant physically equivalent to an otherwise identical momentarily comoving inertial observer.In [2], we applied the generalized principle of relativity and the ensuing symmetry to derive the transformations between two uniformly accelerated systems. To define uniform acceleration, recall that the proper velocity u of an object is the derivative of the object's displacement with respect to the proper time. In other words, u = γv, where v is the object's velocity and γ(v) = 1/ 1 − v 2 /c 2 . A system K is called uniformly accelerated if it moves parallel to an inertial system K and its origin O moves with constant acceleration a = du/dt (see [3] and [4]). In [2], it is shown that uniform acceleration is a Lorentz invariant property in the one-dimensional case.To describe the transformation between the inertial system K and the uniformly accelerated system K at some given time t * , we use a comoving frame K v . Suppose that at time t * , the velocity of O in K is v. Let K v be an inertial frame whose velocity in K is v and whose origin O v coincides with O at t * . The transformation between K and K is the product of the Lorentz transformation between the two inertial systems K and K v and the transformation between K v and K . For the transformation between K v and *

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“…In [10], we propose an experiment to test the Clock Hypothesis and to measure the maximal acceleration.…”

Section: Kündig's Experiments and Its Consequencesmentioning

confidence: 99%

The maximal acceleration, extended relativistic dynamics and Doppler type shift for an accelerated source

Friedman¹

2011

Annalen der Physik

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“…Finally, under certain conditions, the city could reduce its dependence on outside food supplies (see, in particular, Friedman, 1978, andHess, 1979). Waste land, plots set aside for the erection of future infrastructures, and flat roofs (as in Mexico City) are all areas where it would be possible to set up vegetable gardens, thus renewing the link with the traditional workers' gardens.…”

Section: Cities and Resourcesmentioning

confidence: 99%

Cities and resources

Sachs¹

1980

Social Science Information

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“…By separating the residential building into the structural system and the internal architectural system, the design and construction of this SI residential system satisfy the principle of sustainable building as the infill components can be upgraded easily long after the completion of the structural construction. Yona Friedman [2] proposed the famous architecture concept of 'the spatial city' (shown in Fig. 1).…”

Section: Introductionmentioning

confidence: 99%

A Calculation Model for High Rise Frame-Shear Wall Load Bearing Skeleton Structures

Lei¹,

Wu³

2014

AMR

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The Skeleton-Infill residential building system has its particular advantages in building industrialization. In order to utilize this building type into high rise residential buildings, this paper proposes a calculation model for the frame-shear wall load bearing skeleton structure with limited floor stiffness. A simplified calculation method adopting ODEs is also demonstrated. A numerical example is proceeded to verify the effectiveness and accuracy of this methodology.

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Niñez y filosofía

Cited by 3 publications

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The maximal acceleration, extended relativistic dynamics and Doppler type shift for an accelerated source

The maximal acceleration, extended relativistic dynamics and Doppler type shift for an accelerated source

Cities and resources

A Calculation Model for High Rise Frame-Shear Wall Load Bearing Skeleton Structures

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