Dreadful Evolution in Einstein's Schizophrenic World
(trop ancien pour répondre)
Pentcho Valev
2017-11-28 16:56:39 UTC
Insane Einsteinians know no limits:

Nima Arkani-Hamed, Yuntao Bai, Song He, Gongwang Yan: "The search for a theory of the S-Matrix has revealed surprising geometric structures underlying amplitudes ranging from the worldsheet to the amplituhedron, but these are all geometries in auxiliary spaces as opposed to kinematic space where amplitudes live. In this paper, we propose a novel geometric understanding of amplitudes for a large class of theories. The key is to think of amplitudes as differential forms directly on kinematic space. We explore this picture for a wide range of massless theories in general spacetime dimensions. For the bi-adjoint cubic scalar, we establish a direct connection between its "scattering form" and a classic polytope--the associahedron--known to mathematicians since the 1960's. We find an associahedron living naturally in kinematic space, and the tree amplitude is simply the "canonical form" associated with this "positive geometry". Basic physical properties such as locality, unitarity and novel "soft" limits are fully determined by the geometry. Furthermore, the moduli space for the open string worldsheet has also long been recognized as an associahedron. We show that the scattering equations act as a diffeomorphism between this old "worldsheet associahedron" and the new "kinematic associahedron", providing a geometric interpretation and novel derivation of the bi-adjoint CHY formula. We also find "scattering forms" on kinematic space for Yang-Mills and the Non-linear Sigma Model, which are dual to the color-dressed amplitudes despite having no explicit color factors. This is possible due to a remarkable fact--"Color is Kinematics"--whereby kinematic wedge products in the scattering forms satisfy the same Jacobi relations as color factors. Finally, our scattering forms are well-defined on the projectivized kinematic space, a property that provides a geometric origin for color-kinematics duality." https://arxiv.org/abs/1711.09102

Lubos Motl: "Associahedron: Arkani-Hamed + 3 men unify auxiliary spaces for amplitudes. Linguistics, brackets, Jacobi's patents unify hedrons, Hebrons, Chevrons, amplituhedrons, colors, and open strings." https://motls.blogspot.bg/2017/11/associahedron-arkani-hamed-3-men-unify.html

Pentcho Valev
Pentcho Valev
2017-11-28 23:55:51 UTC
Insane string theorists repudiate Einstein's spacetime but continue to worship the underlying premise, Einstein's false constant-speed-of-light postulate:

Nima Arkani-Hamed (06:09): "Almost all of us believe that space-time doesn't really exist, space-time is doomed and has to be replaced by some more primitive building blocks."

Nobel Laureate David Gross observed, "Everyone in string theory is convinced...that spacetime is doomed. But we don't know what it's replaced by." https://www.edge.org/response-detail/26563

What scientific idea is ready for retirement? Steve Giddings: "Spacetime. Physics has always been regarded as playing out on an underlying stage of space and time. Special relativity joined these into spacetime... [...] The apparent need to retire classical spacetime as a fundamental concept is profound..." https://www.edge.org/response-detail/25477

"Rethinking Einstein: The end of space-time. It was a speech that changed the way we think of space and time. The year was 1908, and the German mathematician Hermann Minkowski had been trying to make sense of Albert Einstein's hot new idea - what we now know as special relativity - describing how things shrink as they move faster and time becomes distorted. "Henceforth space by itself and time by itself are doomed to fade into the mere shadows," Minkowski proclaimed, "and only a union of the two will preserve an independent reality." And so space-time - the malleable fabric whose geometry can be changed by the gravity of stars, planets and matter - was born. It is a concept that has served us well, but if physicist Petr Horava is right, it may be no more than a mirage. Horava, who is at the University of California, Berkeley, wants to rip this fabric apart and set time and space free from one another in order to come up with a unified theory that reconciles the disparate worlds of quantum mechanics and gravity - one the most pressing challenges to modern physics." https://www.newscientist.com/article/mg20727721-200-rethinking-einstein-the-end-of-space-time/

Pentcho Valev
Pentcho Valev
2017-11-29 12:20:42 UTC
Breathtaking logic in Einstein's schizophrenic world:

Premise 1: The speed of light is a law of physics (Einstein said so).

Premise 2: The laws of physics are the same in every inertial frame (principle of relativity).

Conclusion: The speed of light is the same in every inertial frame (Einstein's 1905 second postulate is a consequence of the first one).

Leonard Susskind (10:26) : "The principle of relativity is that the laws of physics are the same in every reference frame. That principle existed before Einstein. Einstein added one law of physics - the law of physics is that the speed of light is the speed of light, c. If you combine the two things together - that the laws of physics are the same in every reference frame, and that it's a law of physics that light moves with certain velocity, you come to the conclusion that light must move with the same velocity in every reference frame. Why? Because the principle of relativity says that the laws of physics are the same in every reference frame, and Einstein announced that it is a law of physics that light moves with a certain velocity."

Lubos Motl: "The second postulate of special relativity morally follows from the first one once you promote the value of the speed of light to a law of physics which is what Einstein did. In classical Newtonian mechanics, it was not a law of physics." http://motls.blogspot.com/2006/12/lorentz-violation-and-deformed-special.html

Professor Raymond Flood (5:05): "A consequence of Einstein's principle of relativity is that the speed of light in a vacuum has the same value in two uniformly moving frames of reference."

Dave Slaven: "Einstein's first postulate seems perfectly reasonable. And his second postulate follows very reasonably from his first. How strange that the consequences will seem so unreasonable." http://webs.morningside.edu/slaven/Physics/relativity/relativity3.html

Chad Orzel: "The core idea of Einstein's theory of relativity can fit on a bumper sticker: The Laws Of Physics Do Not Depend On How You're Moving. Absolutely everything else follows from the simple realization that physics must appear exactly the same to person in motion as to a person at rest - the constant speed of light, the slowing of time for moving observers, E=mc2, black holes, even the expanding universe (I've written a whole book about this, explained through imaginary conversations with my dog)." http://www.forbes.com/sites/chadorzel/2015/05/29/four-reasons-to-not-fear-physics/

Michael Fowler: "Therefore, demanding that the laws of physics are the same in all inertial frames implies that the speed of any light wave, measured in any inertial frame, must be 186,300 miles per second. This then is the entire content of the Theory of Special Relativity: the Laws of Physics are the same in any inertial frame, and, in particular, any measurement of the speed of light in any inertial frame will always give 186,300 miles per second." http://galileo.phys.virginia.edu/classes/109/lectures/spec_rel.html

Vesselin Petkov: "One of the fundamental facts of modern physics is the constancy of the speed of light. Einstein regarded it as one of the two postulates on which special relativity is based. So far, however, little attention has been paid to the status of this postulate when teaching special relativity. It turns out that the constancy of the speed of light is a direct consequence of the relativity principle, not an independent postulate. To see this let us consider the two postulates of special relativity as formulated by Einstein in his 1905 paper "On the electrodynamics of moving bodies": "the same laws of electrodynamics and optics will be valid for all frames of reference for which the equations of mechanics hold good. We will raise this conjecture (the purport of which will hereafter be called the "Principle of Relativity") to the status of a postulate, and also introduce another postulate, which is only apparently irreconcilable with the former, namely, that light is always propagated in empty space with a definite velocity c which is independent of the state of the motion of the emitting body". As the principle of relativity states that "the laws of physics are the same in all inertial reference frames" and the constancy of the speed of light means that "the speed of light is the same in all inertial reference frames (regardless of the motion of the source or the observer)" it follow that the second postulate is indeed a consequence of the first - the law describing the propagation of light is the same for all inertial observers." http://arxiv.org/abs/gr-qc/9909081

Pentcho Valev