Sentences with phrase «field equations of»

«In 1915, Karl Schwarzschild was the first person to find a solution of the field equations of Einstein — at the time just a theoretical construct for what we call a black hole today.

Some of the strange mathematical properties of black holes, coming from Karl Schwarzschild's first solution of the Einstein field equations of general relativity in 1915, still puzzle the scientists.

But then right at the very end of a really long journey you learn something like the Schwarzschild solution to the field equations of general relativity, which hinted at the existence of black holes, and suddenly you remember why you began the journey.

«In order to arrive at this consistent view,» Einstein wrote in 1917, «we admittedly had to introduce an extension of the field equations of gravitation which is not justified by our actual knowledge of gravitation.»

And this strange assumption, Gödel demonstrated, satisfies the field equation of general relativity exactly.

Not exact matches

We must look for differential equations to determine the laws of the field (as Einstein said) because only differential equations describe the infinitesimal, contiguous connections of events.

Lorentz's explanation of this situation was along these lines: he showed, using Maxwell's equations (assuming that Maxwell's equations hold in the frame of the ether), that if the field of force is spherical in the rest frame of the ether then it contracts along the direction of motion: l = l0.

Gravity from space (Einstein's relativity) operates on mass through space and matter interaction is a natural process like centrifugal force which made its appearance when a body is morning in circle Jean mass is the amount of matter that must be present before gravity becomes effective or felt, once this minimum amount of matter is reached or exceeded, gravity with mass interact with space - time to bring geodesics and gravity begin to control other bodies and then orbit around each other, another aspect of the twin effect of gravity and mass is the necessity to account for energy required to sustain gravitating mass and where does this energy originating from Einstein's field equation says from space but never refer to the origin of gravitation.

He was interested primarily in simplicity and coherence — in particular, the symmetry of the forms of the equations for electrical and magnetic fields in motion.38 The variability of individual weighting among various criteria, which Kuhn describes, is also most noticeable in the early stages of a new theory.

Although i believe in the Quantum Mechanics i currently study both Theories: The M theory, recently scoring as evidence of Higgs Boson was discovered, and The String Theory But even the String Theory requires an Explanatory Equation Field to say: why Gravity has two Poles?

The secret is: Gravity behaves as a Magnetic Field but instead of a Magnetic Field it behaves as an Energy Field way much more powerfu than Magnetism If we could apply the Maxwell Equations to Gravity we'd have a Beautiful Unified Set of Equations!

The very notion of a «field», such as the Higgs field, is a mathematical and physical model describing the interrelationship of matter at the subatomic level, what Holloway would have called an «equational» relationship since in this vision (that espoused by Faith movement) the cosmos is a vast, ordered equation.

If the above formula gives results which are discrepant with observation, it would be quite possible with my general theory of nature to adopt Einstein's formula, based upon his differential equations, for the determination of the gravitational field.

The quest for a unified field theory, which would unite the four fundamental forces of matter in a single set of equations, is the Holy Grail of modern physics.

I'm also almost certain that my intelligence in the field of mathematics, (calculus and differential equations) is far superior to your level of knowledge... if not challenge me.

Maxwell, for instance, showed that the equations of an electric field would be the same as those for the flow of «an imaginary incompressible fluid»; the purpose of invoking the latter was «to make the mathematical theorems more intelligible to certain minds».32 At least in his early work he seems to have regarded the incompressible fluid and the electric field as analogues whose only resemblance is mathematical isomorphism.

And in 2008, Barack Obama was the first candidate to take his name almost entirely out of the branding equation, leaving supporters instead with the wearable and sharable dawn - of - a-new-day «O», brilliant in it's simplicity, rendering and image of the sun shining over a field which also happened to be the American flag.

The point of such models is to avoid describing human affairs from the top down with fixed equations, as is traditionally done in such fields as economics and epidemiology.

The Hubble observations were made with Hubble's sharp - eyed Wide Field Camera 3 (WFC3), and were conducted by the Supernova H0 for the Equation of State (SH0ES) team, which works to refine the accuracy of the Hubble constant to a precision that allows for a better understanding of the universe's behavior.

In the 1960s, the New Zealand mathematician Roy Kerr discovered a more general class of solutions to Einstein's field equations.

On the Nature of Human Romantic Interaction Karl Iagnemma, The Dial Press, $ 22.95 A computer technician who thinks he's found the mathematical equation for romance and a botanist who secretly yearns for the author of her field's most trusted text are two of the protagonists in a spellbinding collection of short stories from Iagnemma, a roboticist and fiction writer at MIT.

They managed to solve this equation, and obtain relevant physical quantities that are measurable experimentally to check the validity of their solution, by employing a simple analogy with another field, that of quantum mechanics and the solution to the famous Schrodinger equation.

Soon after this first attempt, Drake came up with the celebrated Drake equation, which became the fundamental organizing principle for the new cross-disciplinary field of astrobiology.

The numerical solution of the time dependent Schrödinger equation for the investigated atoms in a strong laser field provided excellent agreement of the theory with the experimental data in both regimes.

Some theories of quantum gravity require space - time itself to be grainy — to be made up of discrete quanta, presumably around 10 - 35 of a meter across because that's the scale at which Einstein's field equations generate their bothersome infinities.

Ten linked equations — Einstein's field equations — describe precisely how space - time is curved for any given distribution of matter and energy, even for something as extreme as a black hole.

Specifically, the horizon is obtained by plotting null geodesic lines on the so - called Schwarzschild metric, the solution to the field equations posed by Einstein for describing the gravitation field of a black hole.

In Scherrer's equations, the density of the energy in the field breaks into two pieces: One decreases as the universe's volume increases, like dark matter, while the other remains constant, like dark energy.

Simulations of black holes with different masses and spins that match, or which are oddly aligned, require the complex mathematics of Einstein's strong field equations.

They published a critique of a leading paper on psychological theory, noting that the formulas in the paper relied on irrelevant equations from the field of fluid dynamics.

Now known as the Einstein field equations, and published in 1916, they supplanted Newton's law of universal gravitation and are still used today, nearly a century later.

He did so by providing an exact solution to the heart of the theory — a field equation that allows one to calculate the force of a gravitational field — and his analysis reflects the distinctive characteristics of all his work.

Turbulence behavior in high - temperature plasma confined in the magnetic field is described mathematically through a dynamical equation in five - dimensional space (the three coordinates of space to which two components of particle velocity are added).

Some interpretations of the field equation are realized in a static but unstable universe, one that simply hangs around for all eternity if it manages to hang around at all.

Wilczek: Yeah, I think that the next idea — which is slightly more speculative, well a lot of more speculative, but I think very compelling — is that we know ways to make our current, very accurate but somewhat lopsided equations that are based on the idea that there are several fundamental forces into a new synthesis in which all the different forces appear on the same footing — what we call a Unified Field Theory.

He and Deffner chose to test, using new equations they developed, whether one specific quantum field theory held true in the rare case of a system of extremely small size and extremely high energy — and it did.

The result was an equation describing both matter and antimatter in terms of quantum fields.

These are just some of the riveting questions fielded by three top astrophysicists in engaging style, with great illustrations and just a handful of equations.

On the left side of the equation is a tensor describing the geometry of spacetime — the gravitational field.

So experts usually speak of the Einstein field equations, plural.)

The internal structures of giant planets are much less well known than those of main - sequence stars because of uncertainties in the equation of state of degenerate gas, the composition (typically non-solar), the interaction with the magnetic field and, in the upper layers, the relative magnitudes of internal heat and energy deposited from the sun.

This project is devoted to the development of a flexible and general framework for the derivation of geometric numerical integrators, referred to as discrete Dirac mechanics, which will be applicable to many problems from plasma physics, but also to equations from other research fields such as optimal control, meteorology, oceanography, geo dynamics, fluid dynamics, elasticity, solar physics, astrophysics and cosmology.

The framework is based on solving nonlinear coupled ordinary and partial differential equations that model the kinetics of the following phenomena: (1) mass transport in the electrolyte and electrode using the Nernst - Planck equation; (2) electrical potential distribution using the Poisson equation; (3) interfacial reactions that determine the boundary conditions or source terms (using the Butler - Volmer equation or constant - flux conditions); and (4) evolution of the electrode / electrolyte interface using the Allen - Cahn equation within the phase - field modeling (PFM) approach.

The solution of the field equations that describe general relativity can yield answers to different physical situations, such as planetary dynamics, the birth and death of stars, black holes, and the evolution of the universe.

D. Olive, N. Turok, The Symmetries of Dynkin Diagrams and the Reduction of Toda Field Equations, Nuclear Physics B215 [FS8], 1983, 470

The plates are inscribed with the Schwarzschild radius equation from the field of astrophysics.

You know a lot about your field, but that's only part of the equation.

Learning Outcomes: Describe the effects of a field Describe the effects of gravitational forces on Earth and in space Appropriately use an equation to calculate weights This is available as a bundle here: https://www.tes.com/teaching-resource/activate-1-p1-yr-7-forces-11777264 Please rate and comment on what you find useful so I can alter my lessons in future.

A hidden piece of the school finance equation is private money raised by parent organizations, funds that give schools flexibility to pay for additional supplies, field trips, and classroom teachers.

Many in the field are highly focused on the Mindset side of the equation (beliefs) and pay relatively little attention to how to achieve the Growth.