Some thinks so. From *Phys.org:*

Boeyens and Thackeray have a shared interest in how the Golden Ratio is expressed, from the spiral structure of the cochlea ear-bone in a 2-million-year-old fossil hominin from the Cradle of Humankind World Heritage Site in South Africa; to the logarithmic spirals of inter-stellar galaxies, the structure of DNA, the growth of many plants, and even in the Periodic Table of the elements.

Thackeray investigates whether 1.61 is present in biology as an approximation of the absolute mean value of a hypothesised species constant (T) – associated not only with living species of mammals, birds, reptiles, insects and beetles, but also with extinct species (Australopithecus, Paranthropus and early Homo).

Boeyens researches questions that relate to the mathematical number (1.618) in the context of chemistry, physics, space-time, relativity and quantum mechanics. Meteorologists recognise the number 1.618 in the spiral structure of hurricanes, while astronomers claim that the structure of certain spiral galaxies can also be identified with Phi.

Boeyens discusses the remarkable cosmic occurrence of this number with reference to space-time, relativity and quantum mechanics. He claims that concepts associated with relativity and quantum mechanics can be integrated, through the number 1.618.

Maybe they are wrong but it is not looney. You can actually measure this stuff. Take

that,multiverse, and get out of here!

See also:The multiverse: Where everything turns out to be true, except philosophy and religion

and

In search of a road to reality

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Similarly, wherever you have a circular or spherical object, there is a Pi=3.14… number built in. Or, wherever there is square there is number sqrt(2)=1.41.. built in. There are also many processes that yield forms with Golden Ratio built in.

Here is the pdf

Number theory and the unity of science – 2014

Excerpt: We suggest that there is a strong case that this so-called ‘Golden Ratio’ (1.61803…) can be related not only to aspects of mathematics but also to physics, chemistry, biology and the topology of space-time.,,,

http://www.sajs.co.za/sites/de....._SciCo.pdf

of related interest:

DNA spiral as a Golden Section

Excerpt: The DNA molecule, the program for all life, is based on the golden section. It measures 34 angstroms long by 21 angstroms wide for each full cycle of its double helix spiral. 34 and 21, of course, are numbers in the Fibonacci series and their ratio, 1.6190476 closely approximates phi, 1.6180339.

DNA in the cell appears as a double-stranded helix referred to as B-DNA.This form of DNA has a two groove in its spirals, with a ratio of phi in the proportion of the major groove to the minor groove, or roughly 21 angstroms to 13 angstroms.

,,, a cross-sectional view from the top of the DNA double helix forms a decagon:

A decagon is in essence two pentagons, with one rotated by 36 degrees from the other, so each spiral of the double helix must trace out the shape of a pentagon.

The ratio of the diagonal of a pentagon to its side is Phi to 1. So, no matter which way you look at it, even in its smallest element, DNA, and life, is constructed using phi and the golden section!

http://www.goldennumber.net/dna/

various google Images for cross section of DNA

https://www.google.com/search?q=cross+section+dna&tbm=isch&tbo=u&source=univ&sa=X&ei=lMV5VJz8DbffsASos4GQCA&ved=0CB8QsAQ&biw=1280&bih=611

Cross section of dna compared to the Rose window at York Minster (the largest gothic cathedral in northern Europe)

https://reflectionsfrommyporchswing.files.wordpress.com/2012/01/dna-2.jpg

==============

Nature by Numbers

https://www.youtube.com/watch?v=kkGeOWYOFoA

.

Or, wherever there is a cube there is the number sqrt(3) = 1.732… built in.

.

You can find pi using phi:

pi = 5 Arccos(phi/2) in Radians

As to unifying science in general, I like this comment from philosopher Steve Fuller,,,

According to materialistic reasoning Professor Steve Fuller has a very valid question. “Why should we think there is some ultimate level of resolution?”,,,

In regards to finding an overarching ‘theory of everything’, materialism simply presupposes that there is no such thing as a ‘theory of everything’ to be found in the first place!

And indeed this failure for materialism to provide an overarching plan, to ‘connect the dots’ as it were, is reflected in the embarrassing failure (BICEP2) of materialism to account for the exceptional flatness and roundness (i.e. homogeneous) of the universe,,,

In light of materialism’s embarrassing failure to ‘connect the dots’ (BICEP2) for why the universe is as flat and as round as it is, it is interesting to learn that Theism predicted such flatness and roundness for the universe thousands of years before they were discovered.

But to touch on their attempt in the OP to unify general relativity and quantum mechanics by using the golden ratio, although it is hard for me to follow the math, I believe what they are attempting is similar to what this guy tries in this following video.

And although the man in the video is certainly a very smart mathematician, and although the people who wrote the paper in the OP are also certainly very smart mathematicians, and although they both may have some kind of key mathematical insight as to ‘unifying science’, I would like to point out that even if some really smart mathematicians were ever able to find a mathematical theory of everything which unified general relativity and quantum mechanics, that the mathematicians would still fail, due to Godel’s incompleteness, to have a ‘complete’ mathematical description of reality. Godel proved in his incompleteness theorem, if numbers are included, that there simply cannot be a ‘complete’ mathematical theory of everything,,

Even Hawking himself at one time admitted, (and apparently subsequently forgot), that there can never be a ‘complete’ mathematical theory of everything.

I think the primary reason why there can never be a complete mathematical theory of everything is best summed up by Dr. Gordon,,

Also of note as to bring ‘completeness’ to math:

And if we allow that God can ‘play the role of a person’, as even Godel himself held was logically possible, then a empirically backed reconcilliation between General Relativity and Quantum Mechanics readily pops out for us:

verse and music

bornagain77,

The problem is that modern education simply ignores Gödel’s theorems, quantum mechanics, and chaos theory which have conclusively destroyed mechanistic determinism! And, as you know, not just in theory but in actual experiments.

Unfortunately, the people who are hostile to the slightest hint of an external agency go crazy when you expose their mechanistic fantasy. It’s apparently of no interest to them that they’re harming science in their wild flailings.

Oh well.

-Q

Q as to:

“Unfortunately, the people who are hostile to the slightest hint of an external agency go crazy when you expose their mechanistic fantasy. It’s apparently of no interest to them that they’re harming science in their wild flailings.”

and as to why that should be so is an even bigger mystery than the ‘theory of everything’ is.

John 15:24-25

,,,As it is, they have seen, and yet they have hated both me and my Father. But this is to fulfill what is written in their Law: ‘They hated me without reason.’

OP:

Umm . . . what does the golden ratio have to do with the existence (or not) of a multiverse? Personally I am very, very skeptical of the multiverse hypothesis but I’m willing to wait for some real results.

#1

Uh . . . no. sqrt(7) has no sqrt(2) in it unless you factor it as sqrt(2)xsqrt(3.5) which is a bit of a reach. AND, what if you take sqrt(sqrt(7))? sqrt(9) has no sqrt(20 involved either. I’m really not sure what you were trying to get at.

#4

What? What does the sqrt(3) have to do with cubes or cube roots? To break a cube root down into square roots is generally pointless and highly unlikely to aid in any computations. Especially these days.

of related note:

“In order for quantum mechanics and relativity theory to be internally self-consistent [Seeking consistency between quantum mechanics and relativity theory is the major task theoretical physicists have been grappling with since quantum mechanics emerged], the physical vacuum has to contain 10^94 grams equivalent of energy per cubic centimeter. What that means is, if you take just a single hydrogen atom, which is one proton and one electron and all the rest of the atom is ‘empty space,’ if you take just that volume of empty space, … you find that you end up with a trillion times as much vacuum energy as all the electromagnetic energy in all the planets, all the stars, and all the cosmic dust in a sphere of radius 15 billion light-years.”

To summarize, the subtle energy in the vacuum space of a single hydrogen atom is as great as all the electromagnetic energy found in everything within 15 billion light-years of our space-time cosmos. ,,,

Dr. William Tiller