Truth by Rick Lockyer

Hello again Rick,

I'd like to recap some of what I said in the hidden comment above. To my mind; inflation and geometrization are automatic in an octonion embedding space, because of the built-in dynamism you describe as the octonions 'needing to drive' and I describe as self-evolving or sequentially evolutive properties of non-associative geometries - applied to Physics - detailed somewhat in my essay from last year about the elephant in the room with quantum gravity researchers.

Well it turns out the same elephant is there with cosmologists too. The exact nature of the inflaton remains a mystery, and the question also remains of why it shuts off when it does. What if the inflaton is non-associativity? This makes the octonions the driver of inflation. If we look at the properties of spheres; we find the 7-sphere is maximally spacious in hypersurface area, but not volume. The maximal volume for hyperspheres (or rather balls - filled spheres) is in 5-d.

These parameters determine that in octonionic inflation, things evolve to a 5-d volume; where inflation ends because there is no further to go and things flip into a quaternionic bubble - as in Cartan's rolling ball model of G2, but where the outer ball is assumed to be 4-d. This transition is effected because the change from non-associative to associative geometry makes the previously outward facing force of gravity turn inward - toward the center of massive objects.

I apologize if this is a distraction Rick, but I was trying to solidify these thoughts in my own mind, and it made sense to elaborate on what I said in the comments above.

Warm Regards,

Jonathan

Thanks greatly Rick!

The complication arises because of the need to use distance estimators rather than firm measures of magnitude, at some point, when calculating hypercomplex fractals. So the implementation of calculus primitives could prove useful or perhaps essential to doing what I want. Ultimately; I'd like to do a fly through of structures in higher-d space via projection (i.e. - 8-d projected onto 4-d then displaying 3-d sections). But that's very ambitious and I want to prove some more basic conjectures first, and build up a vocabulary of working knowledge about the higher-d examples of my butterfly wings and discs - that should be easier to calculate than M itself.

More later,

Jonathan

http://www.scirp.org/journal/PaperInformation.aspx?PaperID=5129

Hi, I took a venture into this area myself in 2011 and have referred to it again as seen in further JHEPGC articles, which have appeared in 2016 and 2017

My take, is that what is crucial is the concept of asociative geometry and when it does and does not break down, and the Octonians are a good vehicle to examine it

Although I did not state it earlier, my work on the cosmological constant was based upon themes of the contributions of Octonionic space time.;

Please feel free to examine my essay, December 21st and interpret it with this in mind

Thank you for your wonderful essay

Andrew

http://www.scirp.org/journal/PaperInformation.aspx?PaperID=5129

Has this in it

Octonionic Gravity Formation, Its Connections to Micro Physics

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DOI: 10.4236/ojm.2011.11002 4,520 Downloads 8,836 Views Citations

Author(s) Leave a comment Andrew Beckwith

Affiliation(s)

.

ABSTRACT

We ask if Octonionic quantum gravity is a relevant consideration near the Planck scale. Furthermore, we examine whether gravitational waves would be generated during the initial phase, , of the universe when triggered by changes in spacetime geometry; i.e. what role would an increase in degrees of freedom have in setting the conditions during , so that the result of these conditions can be observed and analyzed by a gravitational detector. The micro physics interaction is due to the formation of a pre Planckian to Planckian space time transition in spatial dimensions at and near the Planck dimensional values, i.e. 10-33 centimeters in spatial dimensions. This transition would be abrupt and arising in micro physics regimes of space time.

KEYWORDS

High-Frequency Gravitational Waves (HFGW), Symmetry, Causal Discontinuity

Cite this paper

A. Beckwith, "Octonionic Gravity Formation, Its Connections to Micro Physics," Open Journal of Microphysics, Vol. 1 No. 1, 2011, pp. 13-18. doi: 10.4236/ojm.2011.11002.

References

[1] L. Crowell, Quantum Fluctuations of Space-time, in World Scientific Series in Contemporary Chemical Physics, Volume 25, Singapore, Republic of Singapore, 2005.

[2] A. W. Beckwith, "Identifying a Kaluza- Klein treatment of a Graviton permitting a de-celeration parameter Q(Z) as an alternative to standard DE ",Journal of Cosmology, Volume 13, 2011, http://journalofcosmology/BeckwithGraviton.pdf

[3] F. Li, and N. Yang, "Phase and Polarization State of High Frequency Gravitational waves", Chin Phys. Lett. Vol 236, No 5(2009), 050402, pp 1-4

[4] F. Li,. M.,Tang, D. Shi, "Electromagnetic response of a Gaussian beam to high frequency relic gravitational waves in quintessential inflationary models", PRD 67, 104008 (2003), pp1-17

[5] S. Chaturvedi, "Mutually Unbiased Bases", Pramana Journal of Physics, Vol. 52, No. 2, pp 345-350

[6] John C. Baez, "Renyi Entropy and Free Energy", http://arxiv.org/abs/1102.2098

[7] A. W. Beckwith, arXiv:0804.0196 [physics.gen-ph], AIP Conf.Proc. 969:1018-1026, 2008

[8] D. K., Park, H. Kim, H., and S. Tamarayan, "Nonvanishing Cosmological Constant of Flat Universe in Brane world Senarios," Phys. Lett. B 535, 5-10 (2002).

[9] A. W. Beckwith," How to Use the Cosmological Schwinger Principle for Energy Entropy, and "atoms of Space-Time" to Create a Thermodynamic Space-Time and Multiverse"; accepted for the DICE 2010 proceedings; http://vixra.org/abs/1101.0024, 2010

[10] M. Maggiorie,. "Gravitational Wave Experiments and Early Universe Cosmology", Physics Reports 331 (2000) pp. 283-367

[11] G. t' Hooft, Beyond the Quantum, edited by Th. M. Nieuwenhuizen et al. Singapore, World Press Scientific, 2006; http://arxiv.org/PS_cache/quant-ph/pdf/0604/0604008v2.pdf.

http://www.scirp.org/journal/PaperInformation.aspx?PaperID=79959

The Transition from Pre-Octonionic to Octonionic Gravity and How It May Be Pertinent to a Re-Do of the HUP for Metric Tensors

Full-Text HTML XML Download Download as PDF (Size:572KB) PP. 727-753

DOI: 10.4236/jhepgc.2017.34055 93 Downloads 140 Views

Author(s) Leave a comment Andrew Walcott Beckwith Affiliation(s)

Physics Department, College of Physics, Chongqing University Huxi Campus, Chongqing, China.

ABSTRACT

The quantum gravity problem that the notion of a quantum state, representing the structure of space-time at some instant, and the notion of the evolution of the state, does not get traction, since there are no real "instants", is avoided by having initial Octonionic geometry embedded in a larger, nonlinear "pilot model" (semi classical) embedding structure. The Penrose suggestion of recycled space time avoiding a "big crunch" is picked as the embedding structure, so as to avoid the "instants" of time issue. Getting Octionic gravity as embedded in a larger, Pilot theory embedding structure may restore Quantum Gravity to its rightful place in early cosmology without the complication of then afterwards "Schrodinger equation" states of the universe, and the transformation of Octonionic gravity to existing space-time is explored via its possible linkage to a new version of the HUP involving metric tensors. We conclude with how specific properties of Octonion numbers algebra influence the structure and behavior of the early-cosmology model. This last point is raised in Section 14, and is akin to a phase transition from Pre-Octonionic geometry, in pre-Planckian space-time, to Octonionic geometry in Planckian space-time. A simple phase transition is alluded to; making this clear is as simple as realizing that Pre-Octonionic is for Pre-Planckian Space-time and Octonionic is for Planckian Space-time. We state that the Standard Model of physics occurs during Planckian Space-time. We also argue that the Standard Model does not apply to Pre Planckian Space-time. This is commensurate with the Octonion number system NOT applying in pre-Planckian space-time, but applying in Plankian space-time. And the last line of Equation (54) gives a minimum time step in pre-Planckian space-time when we do NOT have the Standard Model of physics, or Octonionic Geometry.

KEYWORDS

Octonionic Geometry, Cyclic Conformal Cosmology (Penrose), Modified HUP

That is the recent iteration as opposed to what I did in 2011

Again, the methodology, was implicitly used in My December 21st essay

Hi Rick , thank you for sharing your passion for algebra and in particular octonians.

At the beginning you state "mathematics is a language of unambiguous truth", I used to think that the certainty of mathematical solutions do make it more reliable than other kinds of communication. Though statistics is notorious for misleading. Having read "Creating perspective on set theory" by Christophe Tournayre, in this competition, I have been re-considering my opinion. I found this paper "When is one thing equal to some other thing?" Barry Mazur (2007) www.math.harvard.edu/~mazur/preprints/when_is_one.pdf Which showed me that even something as common place as use of the equality symbol is not simple and not immune from ambiguity. Also a statement, mathematical or otherwise, can be true, as in not false; and yet not be the whole truth. A more complete truthfulness painting an entirely different picture. An algebraic description can give a singular viewpoint of a phenomenon but does not give all viewpoints, which would be the whole truth. Something Peter is approaching with different observations of the same rotating phenomenon. None of the singular values being the whole truth.

In a universe where there is sequential passage of time, as needed by QM and fitting the arrows of time, there is non-commutivity. As new Now follows previous Now definitely and so when things happen in the representation is important. Which is something in favour of quaternions ( and maybe their big bother). Though as I see it the real number line is not an actual dimension of the universe where physics is happening, but a history time line without physical counterpart. You mention 4 dimensional space from primary sense perceptions. That has to be a separate 'map' space from the former representing where physics is happening. The sense space has a time dimension, and non simultaneity of events can happen as the time is related to signal transmissions and not the foundational sequential passage of time. The two different forms of universe can not be described by just the one form of the algebra because of the fundamental difference in what time is in each. If quaternions were used for both in one version there is the non physical history time line and in the other the geometric time dimension.

Thank you for food for thought. I am going to think on about non associativity in nature and whether it is needed in a representation, and about representation of the different kinds of field, that you discussed. Kind regards Georgina

Dear Rick

I agee and like the term Truth is most important, but I am wondering how to measure it or who can measure it?

Here is my essay that really think there is some fundamental trurh about the nature of particle and gravity, please comment.

Best wishes

Bashir

Dear Rick

Here is my essay

https://fqxi.org/community/forum/topic/3143

Bashir Yusuf.

Hello yet again Rick,

I wanted to pass this on. The Kricker and Joshi paper is behind a pay wall at Elsevier; but a scanned copy of the manuscript was available from Kricker's web page. So here is that paper "Bifurcation Phenomena of the Non-Associative Octonion Quadratic."

Enjoy,

Jonathan

Darn...

I guess just less than 1 MB is not good enough. I'll send it your way the old fashioned way - e-mail.

Regards, JJD

But wait!..

I've found it is available as a scanned document download from the CERN library. So here is a link to Bifurcation Phenomena of the Non-Associative Octonion Quadratic. This way; anyone interested can access the document.

All the Best,

Jonathan

Hello yet again Rick,

While looking for something else; I happened upon these papers by a researcher I mentioned above, which should be of great interest to you, given the subject matter. I hope it adds something, rather than detracts, and I have not read these for detail enough to know. From Merab Gogberashvili

Octonionic Electrodynamics and

Octonionic Version of Dirac Equations

Enjoy, JJD

Far Out!

I've used a purpose-built program written in Pascal for years to convert arrays of integers into 24-bit color values (3 5-bit values for R,G,&B). It's pretty cumbersome, and I have it making files in an obsolete format then converting that to TIFF, but I can deconstruct and re-construct that code to modern specs in fairly short order. It breaks the number palette into ranges, separates odd and even values, and then uses an algorithm to produce color gradients within each range. Your progress gives me a good reason to get back into the programming end of things.

All the Best,

Jonathan

Hi Rick,

I just sent you an e-mail with a snippet of code which is the subroutine for color assignment using a 24-bit palette. The choices for colors and ranges created by that code looks like this image for the standard Mandelbrot Set plot.

Good Luck!

JonathanAttachment #1: MandelCrop.jpg

Dear Rick

If you are looking for another essay to read and rate in the final days of the contest, will you consider mine please? I read all essays from those who comment on my page, and if I cant rate an essay highly, then I don't rate them at all. Infact I haven't issued a rating lower that ten. So you have nothing to lose by having me read your essay, and everything to gain.

Beyond my essay's introduction, I place a microscope on the subjects of universal complexity and natural forces. I do so within context that clock operation is driven by Quantum Mechanical forces (atomic and photonic), while clocks also serve measure of General Relativity's effects (spacetime, time dilation). In this respect clocks can be said to possess a split personality, giving them the distinction that they are simultaneously a study in QM, while GR is a study of clocks. The situation stands whereby we have two fundamental theories of the world, but just one world. And we have a singular device which serves study of both those fundamental theories. Two fundamental theories, but one device? Please join me and my essay in questioning this circumstance?

My essay goes on to identify natural forces in their universal roles, how they motivate the building of and maintaining complex universal structures and processes. When we look at how star fusion processes sit within a "narrow range of sensitivity" that stars are neither led to explode nor collapse under gravity. We think how lucky we are that the universe is just so. We can also count our lucky stars that the fusion process that marks the birth of a star, also leads to an eruption of photons from its surface. And again, how lucky we are! for if they didn't then gas accumulation wouldn't be halted and the star would again be led to collapse.

Could a natural organisation principle have been responsible for fine tuning universal systems? Faced with how lucky we appear to have been, shouldn't we consider this possibility?

For our luck surely didnt run out there, for these photons stream down on earth, liquifying oceans which drive geochemical processes that we "life" are reliant upon. The Earth is made up of elements that possess the chemical potentials that life is entirely dependent upon. Those chemical potentials are not expressed in the absence of water solvency. So again, how amazingly fortunate we are that these chemical potentials exist in the first instance, and additionally within an environment of abundant water solvency such as Earth, able to express these potentials.

My essay is attempt of something audacious. It questions the fundamental nature of the interaction between space and matter Guv = Tuv, and hypothesizes the equality between space curvature and atomic forces is due to common process. Space gives up a potential in exchange for atomic forces in a conversion process, which drives atomic activity. And furthermore, that Baryons only exist because this energy potential of space exists and is available for exploitation. Baryon characteristics and behaviours, complexity of structure and process might then be explained in terms of being evolved and optimised for this purpose and existence. Removing need for so many layers of extraordinary luck to eventuate our own existence. It attempts an interpretation of the above mentioned stellar processes within these terms, but also extends much further. It shines a light on molecular structure that binds matter together, as potentially being an evolved agency that enhances rigidity and therefor persistence of universal system. We then turn a questioning mind towards Earths unlikely geochemical processes, (for which we living things owe so much) and look at its central theme and propensity for molecular rock forming processes. The existence of chemical potentials and their diverse range of molecular bond formation activities? The abundance of water solvent on Earth, for which many geochemical rock forming processes could not be expressed without? The question of a watery Earth? is then implicated as being part of an evolved system that arose for purpose and reason, alongside the same reason and purpose that molecular bonds and chemistry processes arose.

By identifying atomic forces as having their origin in space, we have identified how they perpetually act, and deliver work products. Forces drive clocks and clock activity is shown by GR to dilate. My essay details the principle of force dilation and applies it to a universal mystery. My essay raises the possibility, that nature in possession of a natural energy potential, will spontaneously generate a circumstance of Darwinian emergence. It did so on Earth, and perhaps it did so within a wider scope. We learnt how biology generates intricate structure and complexity, and now we learn how it might explain for intricate structure and complexity within universal physical systems.

To steal a phrase from my essay "A world product of evolved optimization".

Best of luck for the conclusion of the contest

Kind regards

Steven Andresen

Darwinian Universal Fundamental Origin