Some scientists think a more mathematical approach than philosophy is needed for a ToE, for instance Stephen Hawking wrote in A Brief History of Time that even if we had a ToE, it would necessarily be a set of equations.

Some scientists think a more mathematical approach than philosophy is needed for a TOE, for instance Stephen Hawking wrote in A Brief History of Time that even if we had a TOE, it would necessarily be a set of equations.

The business journal Investment Business Daily recently claimed mathematician and astrophysicist Stephen Hawking, who has ALS and speaks with the aid of an American accented voice synthesizer, would not have survived if he had been treated in the British National Health Service.

An outgoing Hawking radiated photon, if the mode is traced back in time, has a frequency which diverges from that which it has at great distance, as it gets closer to the horizon, which requires the wavelength of the photon to " scrunch up " infinitely at the horizon of the black hole.

From a different perspective, if it is correct that the properties of a quantum black hole should correspond at a broad level more or less to a classical general-relativistic black hole, then it is believed that the appearance and effects of the Hawking radiation can be interpreted as quantum " corrections " to the classical picture, as Planck's constant is " tuned up " away from zero up to h. Outside the event horizon of an astronomical-sized black hole these corrections are tiny.

" Echoing this, Stephen Hawking states, " A theory is a good theory if it satisfies two requirements: It must accurately describe a large class of observations on the basis of a model that contains only a few arbitrary elements, and it must make definite predictions about the results of future observations.

Physicist Stephen Hawking, at a White House lecture in 1999, remarked that if there is no space colonization, population expansion continued unabated and the people of the Earth continued to use power at the rate they did then, then by the year 2600 people would be standing shoulder to shoulder and the Earth would glow red hot.

According to Hawking, if human beings tried to contact aliens, they could invade us and take away our most important resources.

Theoretically all the energy of the matter lifted from a star could be harvested if it is made into small black holes, via the mechanism of Hawking Radiation.

Nevertheless, if the material entering the black hole were a pure quantum state, the transformation of that state into the mixed state of Hawking radiation would destroy information about the original quantum state.

Hartle and Hawking suggest that if we could travel backward in time toward the beginning of the universe, we would note that quite near what might have otherwise been the beginning, time gives way to space such that at first there is only space and no time.

The angry Springfield townspeople, furious at the new laws, surround the intellectuals in an angry mob and bring an end to Mensa's rule, and would have seriously injured Lisa if not for the intervention of Dr. Stephen Hawking.

Stephen Hawking had shown earlier that the total horizon area of a collection of black holes always increases with time.

Eberlein's paper suggests that the light in sonoluminescence is generated by the vacuum within the bubble in a process similar to Hawking radiation, the radiation generated at the event horizon of black holes.

* 1972 — Stephen Hawking proves that the area of a classical black hole's event horizon cannot decrease

Starting from theorems proved by Stephen Hawking, Jacob Bekenstein conjectured that the black hole entropy was proportional to the area of its event horizon divided by the Planck area.

Hawking radiation is black body radiation that is predicted to be emitted by black holes, due to quantum effects near the event horizon.

The Unruh effect and the Hawking effect both talk about field modes in the superficially stationary space-time that change frequency relative to other coordinates which are regular across the horizon.

After being introduced to model the theoretical electrical characteristics of the horizon, the " membrane " approach was then pressed into service to model the Hawking radiation effect predicted by quantum mechanics.

The creation of these virtual particles near the event horizon of a black hole has been hypothesized by physicist Stephen Hawking to be a mechanism for the eventual " evaporation " of black holes.

Hawking stated that the time horizon is the boundary that separates a black hole from other celestial bodies.

Starting from theorems proved by Stephen Hawking, Jacob Bekenstein conjectured that the black hole entropy was proportional to the area of its event horizon divided by the Planck area.

The existence of Unruh radiation could be linked to this apparent event horizon, putting it in the same conceptual framework as Hawking radiation.

In July 2004, Stephen Hawking published a paper presenting a theory that quantum perturbations of the event horizon could allow information to escape from a black hole, which would resolve the information paradox.

In black hole physics, the original derivation of Hawking radiation involved field modes that, near the black hole horizon, have arbitrarily high frequencies — in particular, higher than the inverse Planck time, although these do not appear in the final results.

It is along this way that Hawking succeeded in proving that time machines of a certain type ( those with a " compactly generated Cauchy horizon ") cannot appear without exotic matter.

In four dimensions, Hawking proved that the topology of the event horizon of a non-rotating black hole must be spherical.

: – considers information leakage through a transsonic horizon as an " analogue " of Hawking radiation in black hole problems

: – indirect radiation effects in the physics of acoustic horizon explored as a case of Hawking radiation

Thorne and Hawking argued that since general relativity made it impossible for black holes to radiate, and lose information, the mass-energy and information carried by Hawking Radiation must be " new ", and must not originate from inside the black hole event horizon.

It is possible to derive, from the covariant formulation of full quantum theory ( Spinfoam ) the correct relation between energy and area ( 1st law ), the Unruh temperature and the distribution that yields Hawking entropy.

The result is the expected formula, where S is the entropy and A the area of the black hole, derived by Bekenstein and Hawking on heuristic grounds.

It is possible to derive, from the covariant formulation of full quantum theory ( Spinfoam ) the correct relation between energy and area ( 1st law ), the Unruh temperature and the distribution that yields Hawking entropy.

One possible theory uses Hawking radiation as a means to exchange energy between the " parent " universe and the " child " universe, and so cause the rate of expansion to accelerate, but this area is under much speculation.

In the 1970s Stephen Hawking, motivated by the analogy between the law of increasing area of black hole event horizons and the second law of thermodynamics, performed a semiclassical calculation showing that black holes are in equilibrium with thermal radiation outside them, and that black hole entropy ( that is, the entropy of the radiation in equilibrium with the black hole ) equals

* 1969: Stephen W. Hawking proves area theorem for black holes,

Going with Ben and Jack to a location in L. A were they would learn how to get back to the island, Sun met the mysterious Ms. Hawking who described how a giant " island tracker " machine had found that, to get back to the island, they needed to pass over a specific area in between L. A and Guam.

* 1969: Stephen W. Hawking proves area theorem for black holes,

Guest editors participating in the inaugural year of this feature were Monica Ali, Thom Yorke, Stephen Hawking, and Norman Tebbit, who is a frequent critic of the programme.

The laws, analogous to the laws of thermodynamics, were discovered by Brandon Carter, Stephen Hawking and James Bardeen.

Both contributions were affirmed when Stephen Hawking proposed the existence of Hawking radiation two years later.

It included new members who were hired to the team: the magnetically-empowered strong-girl Lodestone ; Karma ( Wayne Hawking ), whose psychic power made sure that anyone trying to attack him would wind up falling over themselves ; and Scott Fischer, whose body generated phenomenal quantities of heat focused through his hands, requiring him to wear protective gloves at all times.

Additional safety arguments beyond those based on Hawking radiation were given in the paper, which showed that in hypothetical scenarios with stable black holes that could damage Earth, such black holes would have been produced by cosmic rays and would have already destroyed known astronomical objects such as the Earth, Sun, neutron stars, or white dwarfs.

After Martian Manhunter and Green Lantern were able to break through Mageddon's hold on Luthor, Steel, Plastic Man, Barda and Wonder Woman took out the Queen Bee, Superman, Orion, Martian Manhunter and Sturmer were able to trap the General in the limbo that Prometheus had discovered, while Batman defeated Prometheus after reprogramming his helmet — normally capable of giving him the combat skills of thirty of the world's greatest martial artists — to give him the physical characteristics of Stephen Hawking.

His childhood heroes were Albert Einstein, Stephen Hawking, and Richard Feynman.

According to executive producer and current showrunner Al Jean, Hawking was asked to guest-star because " we were looking for someone much smarter than all the Mensa members Springfield ," and so they " naturally thought of him.

After the episode aired, Hawking told the Simpsons staff that he " loved " all the jokes and in an interview with The Guardian in 2005, he stated that his guest appearances on The Simpsons were " great fun.