Archive for the ‘Physics’ Category

Combogenesis: a constructive, emergent cosmos

May 22, 2019

I just finished reading Tyler Volk’s “Quarks to Culture: how we came to be”. In this book Volk outlines an interesting model for what he calls combo-genesis, a “great chain of being” leading from basic physical law up through the highest organizational structures that we know of, human societies. He traces a path through human knowledge: physics, chemistry, biology, zoology, sociology, etc., and I am reminded of E. O. Wilson’s “Consilience: the unity of knowledge” that argued for some of the same things.

But Volk’s work has some good new ideas. He details twelve hierarchical levels, where each level is constructed on a “lower” previous level, and the new “higher” level has new things and different abilities than its predecessor. These levels range from the level of fundamental quanta (the quarks of the title), to geo-political states (the culture of the title).

  • QUA: fundamental quanta
  • PRO: nucleons, which are protons and neutrons
  • NCL: atomic nuclei
  • ATM: atoms
  • MOL: molecules
  • PCL: prokaryotic cells
  • ECL: eukaryotic cells
  • ANI: multicellular organisms, including animals
  • ASG: animal social groups
  • HUM: human tribal meta-groups
  • AGR: agro-villages
  • STA: geo-political states

These levels are within three dynamical realms, the first realm being of physical laws and then those realms of biological and cultural evolution. Each of these realms has a base level that has a capability for great constructive and emergent potential via an “Alpha-kit”. An alpha-kit has two facets, an element set and a cornucopia set, that operate like an alphabet and the myriad combinations that that alphabet can produce.

Dynamical realms:

  • Realm of physical laws: QUA -> MOL
  • Realm of biological evolution PCL -> ASG
  • Realm of cultural evolution HUM -> STA

Base levels and their Alpha-kits:

  • QUA, means for chemistry and molecules (atomic)
  • PCL, mechanisms for biology and its evolution (genetic)
  • HUM, faculty for culture and its evolution (linguistic)

As Volk’s model has each higher level based on or constructed from the previous lower one, I make the following suggestion utilizing my four-fold Structure-Function. The structures of each lower level serve as the parts of the next higher level, and the functions of each lower level serve as the actions of the next higher level. In this way a chain of actions and parts, structures and functions are built giving different entities and capabilities to different operational domains.

In the diagram shown, the sets of structures (S) and functions (F) of level i are used for the sets of parts (P) and actions (A) of level i+1, so S(i)=>P(i+1) and F(i)=>A(i+1). Not all structural information or functional abilities are necessarily accessible in the higher level of parts and actions, similar to the information and method hiding in object-oriented programming, and so reducing overall complexity. And as I have argued before, parts are combined to create the structures and actions are combined to create the functions of each level, so P(i+1)=>S(i+1) and A(i+1)=>F(i+1). In this way we have a bottom-up combo-genesis leading from quarks to culture.

Are we now entering another dynamical realm, perhaps based on some technological or computational alpha-kit? But, unfortunately we have to ask, will it take us forwards or backwards?

Further Reading:

Tyler Volk / Quarks to Culture: how we came to be

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

https://blogs.scientificamerican.com/cross-check/how-quarks-turned-into-cultures/

http://www.integralworld.net/smith56.html

http://www.integralworld.net/visser114.html

https://inquisitivebiologist.wordpress.com/2019/03/06/book-review-quarks-to-culture-how-we-came-to-be/

Tyler Volk and Robert Wright discuss:

mol-2017-09-28-wright-volk

Edward O. Wilson / Consilience: the unity of knowledge

https://en.wikipedia.org/wiki/Consilience_(book)

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

[*11.98, *11.99]

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Noether-Pauli-Jung, V2

April 10, 2019

What happens when the fourfold of Noether’s Theorem is spliced together with the fourfold of Pauli-Jung? Both have Space-Time and Matter-Energy. The former has Conservation and Symmetry, and the latter has Causality and Synchronicity. And if Space-Time and Matter-Energy are both divided into Space and Time and Matter and Energy, one obtains this eight-fold.

Causality means that some action or cause in time (say a process) of things in space can have an effect (another process, say) on different things in space, and Synchronicity means that different events (say processes) separated in space can have non-causal relationships between them.  Conservation means the consistency of a quantity of matter or energy or matter-energy through time, and Symmetry means the consistency of a measure of a structure or form through space.

I am reminded of my fourfold Four Bindings, consisting of Chains, Grids, Blocks, and Cycles. Causality and Synchronicity are Chains (or non-chains for the latter) Space and Time are Grids (or flexible meshes), Matter and Energy are Blocks (or chunks of stuff), and Symmetry or Conservation are Cycles (of the group-theoretic kind or the equivalence class kind or just loops).

Further Reading:

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

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

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

https://equivalentexchange.wordpress.com/2012/05/04/noethers-theorem/

https://equivalentexchange.wordpress.com/2018/01/23/atom-and-archetype/

https://equivalentexchange.blog/2016/04/06/four-bindings/

This is a reworking of a previous six-fold diagram that I believe is served better as an eight-fold.

https://equivalentexchange.blog/2018/03/29/noether-pauli-jung/

[*10.68, *10.155, *11.55]

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Colors of Light and Matter

March 26, 2019

Colors of light and colors of matter operate somewhat differently from each other. Colors of lights are additive, but colors of material pigments are subtractive. Of course, they both are conditioned by the biology of the human eye and cultural preferences. Above I have tried to create a synthesis of sorts for both types, and whereas it is pleasing in some ways, it is lacking in others.

White light is combined red, green, and blue light, and combinations of green and red light yield yellow light, combinations of red and blue light yield magenta light, and combinations of green and blue light yield cyan light. Similarly, black is mixed yellow, magenta, and cyan pigments, mixing cyan and magenta pigments produce blue pigment, mixing cyan and yellow pigments produce green pigment, and mixing yellow and magenta pigments produce red pigment.

Further Reading:

http://learn.leighcotnoir.com/artspeak/elements-color/primary-colors/

[*11.63]

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The Standard Model of Particle Physics

September 5, 2018

Until a few years ago, the Standard Model of particle physics had sixteen particles verified. Recently, the Higgs Boson was added, so just imagine another triangle hanging off somewhere. Or, alternately, one may combine the Z and W Bosons when adding the Higgs, so a sixteen-fold scheme is maintained.

Also, the Standard Model is much more than a list of these seventeen particles and their attributes. Not shown are a plethora of equations that describe the properties of these entities and their interactions.

I admit that this diagram is not very useful for scientific knowledge, but the reader may contemplate it as they please.

Further Reading:

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

https://home.cern/about/physics/standard-model

https://physics.info/standard/

[*10.148]

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Noether-Pauli-Jung

March 29, 2018

What happens when the fourfold of Noether’s Theorem is spliced together with the fourfold of Pauli-Jung? Both have Space-Time and Matter-Energy. The former has Conservation and Symmetry, and the latter has Causality and Synchronicity.

I had to remind myself that Conservation means consistency (of matter or energy) through time (and space), and Symmetry means consistency (of form) through space (and time), so in some sense they are dualistic.

Combined, one has the three axes of dual concepts, represented above.

Further Reading:

https://equivalentexchange.wordpress.com/2012/05/04/noethers-theorem/

https://equivalentexchange.wordpress.com/2018/01/23/atom-and-archetype/

[*10.68]

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Atom and Archetype

January 23, 2018

A few weeks ago I ran across this nice review of the book Atom and Archetype: the Pauli-Jung letters 1932-1958. This is a collection of letters exchanged between psychiatrist Carl Jung and physicist Wolfgang Pauli over a course of years. Evidently, Pauli was quite the metaphysician and Jung was intrigued by Einstein’s physics of relative space and time. Together in dialectic they argued and struggled to join together the disparate notions of mind and matter.

What mainly caught my eye was a diagram that I’ve slightly altered and shown above. I’ve mainly just replaced energy with matter-energy for two reasons: first because matter and energy are inter-convertible and second because matter conditions space. This results in similarity to the fourfold diagram for Lucretius that I’ve shown before, consisting of Particles, the Void, Falling, and Swerving.

Further Reading:

https://www.brainpickings.org/2017/03/09/atom-and-archetype-pauli-jung/

Carl Jung and Wolfgang Pauli / Atom and Archetype: the Pauli-Jung letters 1932-1958, Princeton University Press; Updated edition (July 21, 2014)

https://www.amazon.com/Atom-Archetype-Pauli-Letters-1932-1958/dp/069116147X/ref=sr_1_1?s=books&ie=UTF8&qid=1516537804&sr=1-1&keywords=atom+and+archetype

https://equivalentexchange.wordpress.com/2011/10/10/lucretius-on-the-nature-of-things/

https://equivalentexchange.wordpress.com/2014/02/17/matter-energy-space-and-time/

https://equivalentexchange.wordpress.com/2015/01/16/wave-particle-duality/

https://equivalentexchange.wordpress.com/2012/05/04/noethers-theorem/

[*10.60]

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A Rosetta Stone

December 6, 2017

Abstract of Physics, Topology, Logic and Computation: A Rosetta Stone by John Baez and Michael Stay:

In physics, Feynman diagrams are used to reason about quantum processes. In the 1980s, it became clear that underlying these diagrams is a powerful analogy between quantum physics and topology: namely, a linear operator behaves very much like a “cobordism”. Similar diagrams can be used to reason about logic, where they represent proofs, and computation, where they represent programs. With the rise of interest in quantum cryptography and quantum computation, it became clear that there is extensive network of analogies between physics, topology, logic and computation. In this expository paper, we make some of these analogies precise using the concept of “closed symmetric monoidal category”. We assume no prior knowledge of category theory, proof theory or computer science.

  • Physics
  • Logic
  • Topology
  • Computation

Perhaps Category Theory is a “Fifth Essence”?

Further Reading:

http://math.ucr.edu/home/baez/rosetta/rose3.pdf

https://arxiv.org/abs/0903.0340

[*9.168, *10.50]

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The Sackur-Tetrode Equation

May 18, 2015

sq_sackur_tetrode

The Sackur-Tetrode Equation expresses the entropy of a monatomic classical ideal gas. Including quantum aspects of the system gives this formula a more detailed description than it would have otherwise. Above I’ve tried to represent the four uncertainties that constitute the equation in its information theoretic version: positional, momenta, quantum, and identity.

From Wikipedia:

In addition to using the thermodynamic perspective of entropy the tools of information theory can be used to provide an information perspective of entropy. The physical chemist Arieh Ben-Naim rederived the Sackur–Tetrode equation for entropy in terms of information theory, and in doing so he tied in well known concepts from modern physics. He showed the equation to consist of the sum of four entropies (missing information) due to positional uncertainty, momenta uncertainty, the quantum mechanical uncertainty principle and the indistinguishability of the particles.

http://en.wikipedia.org/wiki/Sackur%E2%80%93Tetrode_equation

http://en.wikipedia.org/wiki/Entropy_%28information_theory%29

[*9.4]

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Wave-Particle Duality

January 16, 2015

sq_wave_particle_dualityIs the fundamental nature of light and matter more like a wave or is it more like a particle? After hundreds of years of scientific research the answer is … Yes! Light and matter have aspects of both: sometimes one and sometimes the other. Kind of like that duck-rabbit illusion where the drawing flips back and forth between a duck or a rabbit.

Now that we have the irreconcilable duality of wave and particle, can we add to the confusion and enlarge it into a four-fold? Two additional aspects (from physics) come to mind: motions, as in the motions of particles, and fields, as in electric and magnetic fields.

We immediately can see this four-fold as a play of dimensions: (idealized) particles have 0 dimensions, motions have 1 (along a path), waves have 2 (or more), fields have 3 (or more).

sq_lucretiusWe can also see this four-fold in a weak analogy with the Four Elements: particles for earth, waves for water, motions for fire, and fields for air (or space). Also compare to the four-fold for Lucretius!

Should fields above be replaced with wave-functions? I guess a wave-function is a kind of field of probabilities of existence over space and time, so perhaps it makes no difference!

Links:

http://en.wikipedia.org/wiki/Wave%E2%80%93particle_duality

http://en.wikipedia.org/wiki/Field_%28physics%29

http://en.wikipedia.org/wiki/Rabbit%E2%80%93duck_illusion

http://dl.acm.org/citation.cfm?id=2811288&picked=formats

Charis Anastopoulos / Particle or Wave: The Evolution of the Concept of Matter in Modern Physics

Notes:

I like Forces or Speeds better than Motions. Atoms better than Particles at top?

[*7.152, *8.32]

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Maxwell’s Equations

August 17, 2014

sq_maxwell_eq2

Actually, just the left hand side of the equations, because it looks better that way. The right hand sides are just a click away.

E and B are the electric and magnetic fields, respectively. is the “del” operator.

The divergences ∇ · E and ∇ · B are the “fields emanating from the sources.”

The curls ∇ x E and ∇ x B are the “circulation of the fields.”

http://en.wikipedia.org/wiki/Maxwell%27s_equations

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