Doing the Numbers on No. 1

[Write4U]

Patterns in the Universe

Study finds that patterns formed by spiral galaxies show that the universe may have a defined structure
by Kansas State University

An all-sky mollweide map of the quadrupole in the distribution of galaxy spin directions. In this image, the different colors mean different statistical strength of having a cosmological quadrupole at different points in the sky. Credit: Kansas State University

An analysis of more than 200,000 spiral galaxies has revealed unexpected links between spin directions of galaxies, and the structure formed by these links might suggest that the early universe could have been spinning, according to a Kansas State University study.

Lior Shamir, a K-State computational astronomer and computer scientist, presented the findings at the 236th American Astronomical Society meeting in June 2020. The findings are significant because the observations conflict with some previous assumptions about the large-scale structure of the universe..... more

https://phys.org/news/2020-06-patterns-spiral-galaxies-universe.html

IMO, most of what we know of the universe is revealed by the existing patterns which suggest how the universe evolved in particular patterns and allow us to calculate possible futures based on the patterns observable today.

To me, this all suggests an influential mathematical aspect to the universe, and is why I follow Tegmark in his quest to find the TOE (if it can be found), which has to be able to be expressed in mathematical terms.

 

[nebel]

here is the article headline about the uniqueness of the solar system planetary pattern:
Is our solar system a cosmic oddity? Evidence from exoplanets says yes
When we started finding planetary systems around other stars we thought many of them would be like ours. We’ve now found hundreds – and it’s so far, so wrong



Read more: https://www.newscientist.com/articl...dence-from-exoplanets-says-yes/#ixzz7Dvo86zZY

 

[Write4U]

here is the article headline about the uniqueness of the solar system planetary pattern:
Is our solar system a cosmic oddity? Evidence from exoplanets says yes
When we started finding planetary systems around other stars we thought many of them would be like ours. We’ve now found hundreds – and it’s so far, so wrong

Read more: https://www.newscientist.com/articl...dence-from-exoplanets-says-yes/#ixzz7Dvo86zZY

Why should that be noteworthy? There are no 2 people alike, yet they are all made from the same materials. But in different quantities and that makes the difference.

Question is if all other patterns use the same mathematical laws applied to different initial conditions?

In Chaos theory, there is only chaos. Yet regular patterns emerge from the chaos. How does it do that unless some universal laws are causal to the self-formation of repeating patterns, even from chaotic conditions?

CDT (Causal Dynamic Triangulation), proposes that the universe's spacetime fabric itself unfolds in a fractal pattern.

 

[Write4U]

Nebel said: ↑ here is the article headline about the uniqueness of the solar system planetary pattern:
Is our solar system a cosmic oddity? Evidence from exoplanets says yes
When we started finding planetary systems around other stars we thought many of them would be like ours. We’ve now found hundreds – and it’s so far, so wrong
Read more: https://www.newscientist.com/articl...dence-from-exoplanets-says-yes/#ixzz7Dvo86zZY

There is a statistical method of analyzing the chance of finding like planets via the NSA developed ; "large number of rare event distribution".
Robert Hazen uses it in calculating the probability of missing (yet to be found) minerals and where they may be found, based on the sampling of known minerals on earth.

Rare Events

Rare or extreme events are events that occur with low frequency, and often refers to infrequent events that have widespread impact and which might destabilize systems (for example, stock markets,[1] ocean wave intensity[2] or optical fibers [3] or society[4]).

Rare events encompass natural phenomena (major earthquakes, tsunamis, hurricanes, floods, asteroid impacts, solar flares, etc.), anthropogenic hazards (warfare and related forms of violent conflict, acts of terrorism, industrial accidents, financial and commodity market crashes, etc.), as well as phenomena for which natural and anthropogenic factors interact in complex ways (epidemic disease spread, global warming-related changes in climate and weather, etc.).

https://en.wikipedia.org/wiki/Rare_events

Large Number of Rare Events Distribution

In statistics, large number of rare events (LNRE) modeling summarizes methods that allow improvements in frequency distribution estimation over the maximum likelihood estimation when "rare events are common".[1]

It can be applied to problems in linguistics (see Zipf distribution), in various natural phenomena, in chemistry, in demography and in bibliography, amongst others.[2]

https://en.wikipedia.org/wiki/Large_number_of_rare_events

 

[nebel]

In Chaos theory, there is only chaos. Yet regular patterns emerge from the chaos. How does it do that unless some universal laws are causal to the self-formation of repeating patterns, even from chaotic conditions?

No question about all that. the point of the PO is, here we do not have all chaos. certain ratios, numbers popping up. even if voted down.

 

[Write4U]

No question about all that. the point of the PO is, here we do not have all chaos. certain ratios, numbers popping up. even if voted down.

IMO, all that suggests that the pattern formation is influenced by variable conditions. In view of the extraordinary distances and the naturally degradation of information the data is subject to. It is a wonder that we get even any data at all.

Personally, I am certain that universal laws are applicable throughout the entire universe and any deviation does not automatically prove negative results or disprove positive results. With time the statistical record will increase and LNRE will become more and more accurate in its predictive power.

Instead, a new picture is emerging of how solar systems form in a chaos of planet building with no certain outcome. That has made us revisit our own solar system’s history, and as we do, a nagging question is becoming louder: instead of being the archetypal solar system, are we actually the freak?

Read more: https://www.newscientist.com/articl...dence-from-exoplanets-says-yes/#ixzz7DxWuMoDP

How about one of many rare event statistics? Using our solar system as a starting model is useful but hardly persuasive. At that scale external forces are of such magnitude that a single event may disrupt a galaxy and completely change its normal pattern formation.

We may compare this to the occurrence of curved patterns in the universe. Super-novae, Supermassive black holes, Galactic mergers.

In the world of mechanics, there are four basic types of motion. These four are rotary, oscillating, linear and reciprocating.


Interestingly, certain sets of straight lines may yield a curved pattern and vice versa a certain set of curved patterns may yield a straight line.

continued......

 

[Write4U]

continued.....



Just a bunch of circles

 

[nebel]

You do realize that those are all human symbols

on post#274

What symbols you think should be used? .You have not analyzed the dta, some are ratios independent of in what units they are expressed, pounds, cubits, watches. stones.
bode numbers, 4, 7, 10, 16 and their golden ratios.
Vo of Earth 30 vs 300 000 km/sec of the speed of light. 1 / 10 000 in any units. and yes, the choice of the 10 digit system, and metric system based on the properties of water and approximating the planet measurements was a good choice producing these other "10" unrelated coincidences.
Nature was waiting to have such a fitting description. such a unique planet with life. a protective tent with a ten.

 

[nebel]

Just a bunch of circles

looks like a moebius strip too, going on and on, with pretty pictures.

 

[Write4U]

on post#274

What symbols you think should be used? .You have not analyzed the dta, some are ratios independent of in what units they are expressed, pounds, cubits, watches. stones.
bode numbers, 4, 7, 10, 16 and their golden ratios.
Vo of Earth 30 vs 300 000 km/sec of the speed of light. 1 / 10 000 in any units. and yes, the choice of the 10 digit system, and metric system based on the properties of water and approximating the planet measurements was a good choice producing these other "10" unrelated coincidences.
Nature was waiting to have such a fitting description. such a unique planet with life. a protective tent with a ten.

I must admit that I don't know what the OP question or statement is. I have been trying to offer some general observations, but except from c all other mathematical relationships are more or less variable due to the dynamic nature of spacetime itself.

* unit assigned by scientists
** units the result of natural relationships, ratios before the arrival of science.
Earth, a place just begging you to do science on.
there are more, add them please.

What is the question? Why do you need it. What does it prove?

 

[Write4U]

looks like a moebius strip too, going on and on, with pretty pictures.

Do you find it interesting that one can use straight lines to create a curve or using circles to create straight lines?
I find that remarkable.

 

[sideshowbob]

Ok, can you show me an example of something that is not identifiable as a pattern? I have looked and cannot find one.

That sounds like the fallacy of composition.

 

[Write4U]

That sounds like the fallacy of composition.

Ok then, please correct that sentence for me. I am sure you understood the question, no?
Or are you now going to recommend that I study the English language on "composition"?

This is getting ridiculous and you are now disrupting yet another topic, or is nebel also on your list of "undesirables".

 

[Write4U]

This may help.
The Universal Pattern Popping Up in Math, Physics and Biology
Quanta’s In Theory video series returns with an exploration of a mysterious mathematical pattern found throughout nature.
https://www.quantamagazine.org/the-...ping-up-in-math-physics-and-biology-20180823/

 

[nebel]

general observations, but except from c all other mathematical relationships are more or less variable due to the dynamic nature of spacetime itself.

The OP asked to examine the seemingly unique ratios, , perhaps not even essential to foster life, on this unique planet. such as:

Only from our surface, at this time, has a moon closely the same apparent size as the central body, allowing eclipses. not a 10, but 1/1. so,

Not that all your good contributions are not fascinating, but how are they relating to that narrow field outlined in the OP?

 

[Write4U]

The OP asked to examine the seemingly unique ratios, , perhaps not even essential to foster life, on this unique planet. such as:

Only from our surface, at this time, has a moon closely the same apparent size as the central body, allowing eclipses. not a 10, but 1/1. so,

Not that all your good contributions are not fascinating, but how are they relating to that narrow field outlined in the OP?

Being that most naturally occurring mathematics can be described by the (human) decimal system it would seem natural that decimal relationships and ratios should appear frequently.

I must admit that I have no other answer to the OP and I was just trying to add some different perspectives into the mix.

It was not my intent to interfere with the original question. Sorry.

 

[Write4U]

Only from our surface, at this time, has a moon closely the same apparent size as the central body, allowing eclipses. not a 10, but 1/1. so,

Could this be related?

An order of magnitude is an approximation of the logarithm of a value relative to some contextually understood reference value, usually ten, interpreted as the base of the logarithm and the representative of values of magnitude one. Logarithmic distributions are common in nature and considering the order of magnitude of values sampled from such a distribution can be more intuitive. When the reference value is ten, the order of magnitude can be understood as the number of digits in the base-10 representation of the value. Similarly, if the reference value is one of certain powers of two, the magnitude can be understood as the amount of computer memory needed to store the exact integer value.

Differences in order of magnitude can be measured on a base-10 logarithmic scale in “decades” (i.e., factors of ten).[1] Examples of numbers of different magnitudes can be found at Orders of magnitude (numbers).

https://en.wikipedia.org/wiki/Order_of_magnitude

 

[James R]

A pattern is a regularity.

Yes.

What is the observable difference between the elements of the Table?

Their count and arrangement of electrons , protons , and neutrons around the nuclei, no?

No. Just the number of protons. That's what defines what element a particular atom is.

IOW their individual patterns.

No. It's the number of protons in the nucleus. That isn't a "pattern"; it's a physical property of the atom.

An atom is a collection of elementary particles arranged in a specific pattern that gives each different atom it's inherent potentials, no?

I don't know, since I have never been able to understand what "inherent potentials" is supposed to mean.

If not, when is an atom not a pattern?

An atom is a physical thing. A pattern is an abstract thing.

Where is the mistake? Do you care to explain your curious disapproval?

I have explained it to you before. In one ear and out the other; then you go on as if I never said anything. And, a few days or weeks later, off you go again with the same mistake.

Molecules are atoms arranged in specific patterns, no?

Yes.

There is nothing in the universe that is not a pattern.

Wrong again, for the same reason. Our universe isn't an abstraction.

Come on, this isn't hard.

 

[Write4U]

Yes.

No. Just the number of neutrons. That's what defines what element a particular atom is.

Do atoms have patterns depending on the number of electrons and neutrons?

No. It's the number of protons in the nucleus. That isn't a "pattern"; it's a physical property of the atom.

Do nuclei all have the same pattern?

I don't know, since I have never been able to understand what "inherent potentials" is supposed to mean.

Kinetic and potential energy of atoms result from the motion of electrons. ... The further the orbital is from the nucleus, the higher the potential energy of an electron at that energy level. When the electron returns to a low energy state, it releases the potential energy in the form of kinetic energy.
https://www.brightstorm.com/science...namics/kinetic-and-potential-energy-of-atoms/

An atom is a physical thing. A pattern is ab abstract thing.

A pattern is the particular arrangement of constituent parts of a physical thing..

I have explained it to you before. In one ear and out the other; then you go on as if I never said anything. And, a few days or weeks later, off you go again with the same mistake.

Because you deny that all things are observable by the patterns their atoms and molecules are arranged. The way things appear is by their patterns.

Molecules are atoms arranged in specific patterns, no?

Yes.

Good, we have agreement on that point.

There is nothing in the universe that is not a pattern.

Wrong again, for the same reason. Our universe isn't an abstraction.

Explaining General Patterns in Species Abundance and Distributions
By: Wilco C. E. P. Verberk (Marine Biology and Ecology Research Centre, University of Plymouth) © 2011 Nature Education

Community ecology is the study of a set of species co-occurring at a given time and place. A central aim of community ecology is to understand how communities are organized by identifying, describing, and explaining general patterns that underlie the structure of communities. An example of such a pattern is that some species never occur together in the same place. Such a pattern may be explained in various ways: one species may exclude the other through competition or, alternatively, they simply prefer different habitats......much more

https://www.nature.com/scitable/kno...l-patterns-in-species-abundance-and-23162842/

Come on, this isn't hard.

I could ask the same of you. It seems you are considering what constitutes a pattern in a narrow way.

Can you present me with a single thing that has no pattern ?

It is their patterns that sets all things apart from each other as well as identifies what they have in common.
The definition of "pattern" addresses all forms of regularity (regular patterns) or irregularity (irregular patterns)

Pattern

A

pattern is a regularity in the world, in human-made design, or in abstract ideas. As such, the elements of a pattern repeat in a predictable manner. A geometric pattern is a kind of pattern formed of geometric shapes and typically repeated like a wallpaper design.

Any of the senses may directly observe patterns. Conversely, abstract patterns in science, mathematics, or language may be observable only by analysis. Direct observation in practice means seeing visual patterns, which are widespread in nature and in art. Visual patterns in nature are often chaotic, rarely exactly repeating, and often involve fractals.

Natural patterns include

spirals, meanders, waves, foams, tilings, cracks, and those created by symmetries of rotation and reflection. Patterns have an underlying mathematical structure;[1] indeed, mathematics can be seen as the search for regularities, and the output of any function is a mathematical pattern. Similarly in the sciences, theories explain and predict regularities in the world.

In art and architecture, decorations or

visual motifs may be combined and repeated to form patterns designed to have a chosen effect on the viewer. In computer science, a software design pattern is a known solution to a class of problems in programming. In fashion, the pattern is a template used to create any number of similar garments.

1 Nature
1.1 Symmetry
1.2 Spirals
1.3 Chaos, turbulence, meanders and complexity
1.4 Waves, dunes
1.5 Bubbles, foam
1.6 Cracks
1.7 Spots, stripes
2 Art and architecture
2.1 Tilings
2.2 In architecture
3 Science and mathematics
3.1 Fractals
4 Computer science
5 Fashion

continued..........

 

[Write4U]

.....continued

Universal Patterns
Creator: Kaan Soravit Yumlu

Medium: Digital Art

Nature’s tendency to find the shortest path can create beautiful fractals: the arteries in our lungs, the drainage pattern of rivers to Lichtenberg figures of electrical discharge. Similarly, nature’s tendency to keep the minimal surface area for a given volume can form foam structures, patterns on a giraffe’s skin and even the large scale dark matter structure of the Universe.

Taking a course on physics and art (PHYS 498) this semester, through juxtaposition of patterns in different scales in the Universe, the artwork I created aimed to show how these seemingly irrelevant patterns are connected on a very fundamental level. To me, it is magical to see how these connections can not only help humans understand how nature works in very different fields but also define a sense of aesthetics.

https://publish.illinois.edu/flowing-from-quantum-to-cosmic/patterns/

I suggest that if something exists that has no pattern, it could not be analyzed via mathematics and the universe would forever be unknowable.

As Roger Antonsen says; "patterns have names".