Einstein's Empirical Concoction Explains Anything
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Pentcho Valev
2017-03-30 17:43:16 UTC
"Explaining the accelerating expansion of the universe without dark energy. [...] Einstein's equations of general relativity that describe the expansion of the universe are so complex mathematically, that for a hundred years no solutions accounting for the effect of cosmic structures have been found. We know from very precise supernova observations that the universe is accelerating, but at the same time we rely on coarse approximations to Einstein's equations which may introduce serious side-effects, such as the need for dark energy, in the models designed to fit the observational data." explains Dr László Dobos, co-author of the paper, also at Eötvös Loránd University. [...] Dr Dobos adds: "The theory of general relativity is fundamental in understanding the way the universe evolves. We do not question its validity; we question the validity of the approximate solutions. Our findings rely on a mathematical conjecture which permits the differential expansion of space, consistent with general relativity, and they show how the formation of complex structures of matter affects the expansion. These issues were previously swept under the rug but taking them into account can explain the acceleration without the need for dark energy." https://phys.org/news/2017-03-expansion-universe-dark-energy.html

That is, some fudge factors introduce dark energy, others provide an "explanation" without recourse to dark energy. Fudge factors belong to the essence of Einstein's general relativity:

"A fudge factor is an ad hoc quantity introduced into a calculation, formula or model in order to make it fit observations or expectations. Examples include Einstein's Cosmological Constant..." https://en.wikipedia.org/wiki/Fudge_factor

Ken Croswell, Magnificent Universe, p. 179: "Ever since, the cosmological constant has lived in infamy, a fudge factor concocted merely to make theory agree with observation." http://www.amazon.com/Magnificent-Universe-Ken-Croswell/dp/0684845946

"Some regarded the new term, known as the cosmological constant, as something of a fudge factor and claimed that it marred the symmetry and simplicity of the original field equations. However, general relativity certainly allowed the term; indeed it is a little-known fact that Einstein had noted the possibility of such an extension to the field equations in his original exposition of 1916." https://blogs.scientificamerican.com/guest-blog/einsteins-greatest-blunder/

Can one introduce a fudge factor analogous to the cosmological constant in Lorentz transformation equations? One cannot, and the reason is simple: Special relativity is DEDUCTIVE (even though a false assumption and an invalid argument have spoiled it from the very beginning) and fudging is impossible by definition - one has no right to introduce anything that does not follow from the postulates.

The only alternative to deductive theory is empirical concoction (a "theory" that is not even wrong) - Einstein clearly explains this here:

Albert Einstein: "From a systematic theoretical point of view, we may imagine the process of evolution of an empirical science to be a continuous process of induction. Theories are evolved and are expressed in short compass as statements of a large number of individual observations in the form of empirical laws, from which the general laws can be ascertained by comparison. Regarded in this way, the development of a science bears some resemblance to the compilation of a classified catalogue. It is, as it were, a purely empirical enterprise. But this point of view by no means embraces the whole of the actual process ; for it slurs over the important part played by intuition and deductive thought in the development of an exact science. As soon as a science has emerged from its initial stages, theoretical advances are no longer achieved merely by a process of arrangement. Guided by empirical data, the investigator rather develops a system of thought which, in general, is built up logically from a small number of fundamental assumptions, the so-called axioms."

Special relativity was indeed "built up logically from a small number of fundamental assumptions" but general relativity was, to use Einstein's words, "a purely empirical enterprise". Einstein and his mathematical friends changed and fudged equations countless times until "a classified catalogue" was compiled where known in advance results and pet assumptions (such as the Mercury's precession, the equivalence principle, gravitational time dilation) coexisted in an apparently consistent manner. Being an empirical concoction, general relativity allows Einsteinians to introduce, change and withdraw fudge factors until the "theory" manages to predict anything Einsteinians want. Then the prediction turns out to be confirmed by observations (surprise surprise).

The fudge-factor activity is inglorious and Einsteinians don't discuss it openly, but sometimes the truth comes out inadvertently. So conventional dark matter models based on general relativity "need four free parameters to be adjusted to explain the data" (how many fudge factors LIGO conspirators needed in order to model the nonexistent gravitational waves is a deep mystery):

"Verlinde's calculations fit the new study's observations without resorting to free parameters – essentially values that can be tweaked at will to make theory and observation match. By contrast, says Brouwer, conventional dark matter models need four free parameters to be adjusted to explain the data."

Being an empirical concoction, Einstein's general relativity has no postulates:

What are the postulates of General Relativity? Alexander Poltorak, Adjunct Professor of Physics at the CCNY: "In 2005 I started writing a paper, "The Four Cornerstones of General Relativity on which it doesn't Rest." Unfortunately, I never had a chance to finish it. The idea behind that unfinished article was this: there are four principles that are often described as "postulates" of General Relativity:

1. Principle of general relativity

2. Principle of general covariance

3. Equivalence principle

4. Mach principle

The truth is, however, that General Relativity is not really based on any of these "postulates" although, without a doubt, they played important heuristic roles in the development of the theory." [end of quotation]

General relativity is analogous to the "empirical models" defined here and is as much a theory as they are:

"The objective of curve fitting is to theoretically describe experimental data with a model (function or equation) and to find the parameters associated with this model. Models of primary importance to us are mechanistic models. Mechanistic models are specifically formulated to provide insight into a chemical, biological, or physical process that is thought to govern the phenomenon under study. Parameters derived from mechanistic models are quantitative estimates of real system properties (rate constants, dissociation constants, catalytic velocities etc.). It is important to distinguish mechanistic models from empirical models that are mathematical functions formulated to fit a particular curve but whose parameters do not necessarily correspond to a biological, chemical or physical property."

Pentcho Valev
2017-03-30 23:50:09 UTC
Post by Pentcho Valev
"A fudge factor is an ad hoc quantity introduced into a calculation, formula or model in order to make it fit observations or expectations. Examples include Einstein's Cosmological Constant..." https://en.wikipedia.org/wiki/Fudge_factor
This is not a "fudge factor" in the sense you mean. Long story and I'm not
going to waste my time explaining it to you as your main problem is medical
at this point.

Awa Idayumi
2017-03-31 12:36:53 UTC
Post by JanPB
Post by Pentcho Valev
"A fudge factor is an ad hoc quantity introduced into a calculation,
formula or model in order to make it fit observations or expectations.
Examples include Einstein's Cosmological Constant..."
This is not a "fudge factor" in the sense you mean. Long story and I'm
not going to waste my time explaining it to you as your main problem is
medical at this point.
If your "dark matter" and "dark energy" are not fudge factors, you should
rather be worried about your problem seemingly medical.
2017-03-31 13:07:28 UTC
Post by JanPB
Post by Pentcho Valev
"A fudge factor is an ad hoc quantity introduced into a calculation, formula or model in order to make it fit observations or expectations. Examples include Einstein's Cosmological Constant..." https://en.wikipedia.org/wiki/Fudge_factor
This is not a "fudge factor" in the sense you mean. Long story and I'm not
going to waste my time explaining it to you as your main problem is medical
at this point.
Yes, it is. A short story but I'm not going to waste my time
explaining it to you as your main problem is medical
at this point.
Pentcho Valev
2017-03-31 07:01:31 UTC
Fudging must have been most vigorous when LIGO conspirators fabricated their models. The theory of black holes is so confused and uncertain that Einstein did not believe they existed, and neither do some contemporary scientists. Also, Einstein's spacetime is so absurd that nowadays most theoreticians reject it, explicitly or implicitly. And yet LIGO conspirators managed to model black holes, their collision, the ripples in spacetime the collision produces - finally the gravitational wave signals LIGO conspirators faked gloriously matched the models:

"Cornell professors Saul Teukolsky, astrophysics, and Larry Kidder, astronomy, played an instrumental role in the first detection of gravitational waves, a century after Albert Einstein predicted their existence in his theory of general relativity. [...] The LIGO and Virgo group confirmed that these gravitational waves had come from the collision of black holes by comparing their data with a theoretical model developed at Cornell. Teukolsky and the Cornell-founded Simulation of eXtreme Spacetimes collaboration group have been developing this model since 2000, according to the University."

"In January 2017 - just one year after the dawn of gravitational-wave astronomy - the Max Planck Institute for Gravitational Physics (Albert Einstein Institute, AEI) has expanded through the addition of a young research team. Led by Dr. Frank Ohme, the Max Planck Independent Research Group "Binary Merger Observations and Numerical Relativity" will study collisions of black holes and neutron stars through sophisticated computer simulations, exploring some the fundamental questions in the new field of gravitational-wave astronomy over the next five years. "When the LIGO instruments detected gravitational waves for the first time on September 14, 2015, we quickly knew that black holes were the source of the signal," says Dr. Frank Ohme, leader of the Max Planck Independent Research Group. "This was only possible because we knew the shape of such signals from theoretical predictions - solutions of Einstein's equations." These equations determine how black holes warp the spacetime around them and thus emit gravitational waves that can be observed with detectors such as LIGO, Virgo, and GEO600."


"Researcher shows that black holes do not exist. Black holes have long captured the public imagination and been the subject of popular culture, from Star Trek to Hollywood. They are the ultimate unknown – the blackest and most dense objects in the universe that do not even let light escape. And as if they weren't bizarre enough to begin with, now add this to the mix: they don't exist. By merging two seemingly conflicting theories, Laura Mersini-Houghton, a physics professor at UNC-Chapel Hill in the College of Arts and Sciences, has proven, mathematically, that black holes can never come into being in the first place."

Stephen Hawking: 'There are no black holes'

"George Chapline of the Lawrence Livermore National Laboratory, a former teaching assistant of the Nobel Prize winning physicist Richard Feynman asserts, "The picture of gravitational collapse provided by classical general relativity cannot be physically correct because it conflicts with ordinary quantum mechanics." Simply put, Chapline believes that not only do black not exist, but that they cannot exist. [...] Chapline's biggest complaint appears to be that time is relative in the theory of relativity, and the black hole is the most glaring example of this notion. He asserts that quantum physics is only meaningful if time is universal."

"Splitting Time from Space - New Quantum Theory Topples Einstein's Spacetime. Buzz about a quantum gravity theory that sends space and time back to their Newtonian roots. Was Newton right and Einstein wrong? It seems that unzipping the fabric of spacetime and harking back to 19th-century notions of time could lead to a theory of quantum gravity. [...] But now Petr Hořava, a physicist at the University of California, Berkeley, thinks he understands the problem. It's all, he says, a matter of time. More specifically, the problem is the way that time is tied up with space in Einstein's theory of gravity: general relativity. Einstein famously overturned the Newtonian notion that time is absolute - steadily ticking away in the background. Instead he argued that time is another dimension, woven together with space to form a malleable fabric that is distorted by matter. The snag is that in quantum mechanics, time retains its Newtonian aloofness, providing the stage against which matter dances but never being affected by its presence. These two conceptions of time don't gel."

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."

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."

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..."

"Rethinking Einstein: The end of space-time [...] The stumbling block lies with their conflicting views of space and time. As seen by quantum theory, space and time are a static backdrop against which particles move. In Einstein's theories, by contrast, not only are space and time inextricably linked, but the resulting space-time is moulded by the bodies within it. [...] Something has to give in this tussle between general relativity and quantum mechanics, and the smart money says that it's relativity that will be the loser."

Pentcho Valev
Pentcho Valev
2017-03-31 13:35:34 UTC
If a physics theory is not deductive, it is not even wrong. Here Michel Janssen describes the anti-deductive approach of Einstein and his mathematical friends - endless empirical groping, fudging and fitting until "excellent agreement with observation" was reached:

Michel Janssen: "But - as we know from a letter to his friend Conrad Habicht of December 24, 1907 - one of the goals that Einstein set himself early on, was to use his new theory of gravity, whatever it might turn out to be, to explain the discrepancy between the observed motion of the perihelion of the planet Mercury and the motion predicted on the basis of Newtonian gravitational theory. [...] The Einstein-Grossmann theory - also known as the "Entwurf" ("outline") theory after the title of Einstein and Grossmann's paper - is, in fact, already very close to the version of general relativity published in November 1915 and constitutes an enormous advance over Einstein's first attempt at a generalized theory of relativity and theory of gravitation published in 1912. The crucial breakthrough had been that Einstein had recognized that the gravitational field - or, as we would now say, the inertio-gravitational field - should not be described by a variable speed of light as he had attempted in 1912, but by the so-called metric tensor field. The metric tensor is a mathematical object of 16 components, 10 of which independent, that characterizes the geometry of space and time. In this way, gravity is no longer a force in space and time, but part of the fabric of space and time itself: gravity is part of the inertio-gravitational field. Einstein had turned to Grossmann for help with the difficult and unfamiliar mathematics needed to formulate a theory along these lines. [...] Einstein did not give up the Einstein-Grossmann theory once he had established that it could not fully explain the Mercury anomaly. He continued to work on the theory and never even mentioned the disappointing result of his work with Besso in print. So Einstein did not do what the influential philosopher Sir Karl Popper claimed all good scientists do: once they have found an empirical refutation of their theory, they abandon that theory and go back to the drawing board. [...] On November 4, 1915, he presented a paper to the Berlin Academy officially retracting the Einstein-Grossmann equations and replacing them with new ones. On November 11, a short addendum to this paper followed, once again changing his field equations. A week later, on November 18, Einstein presented the paper containing his celebrated explanation of the perihelion motion of Mercury on the basis of this new theory. Another week later he changed the field equations once more. These are the equations still used today. This last change did not affect the result for the perihelion of Mercury. Besso is not acknowledged in Einstein's paper on the perihelion problem. Apparently, Besso's help with this technical problem had not been as valuable to Einstein as his role as sounding board that had earned Besso the famous acknowledgment in the special relativity paper of 1905. Still, an acknowledgment would have been appropriate. After all, what Einstein had done that week in November, was simply to redo the calculation he had done with Besso in June 1913, using his new field equations instead of the Einstein-Grossmann equations. It is not hard to imagine Einstein's excitement when he inserted the numbers for Mercury into the new expression he found and the result was 43", in excellent agreement with observation."

Pentcho Valev