Fallacy , Space can be bent , warped or contorted .

exchemist said:
As I understand it he was struggling to give meaning to Einstein's energy formula E =√((mc²)² + p²c²) when p in QM has to be an operator. He found he could do it if he replaced single variable by matrices, implying there was a family of 4 entities rather than just the one treated by Schrödinger's original equation. Spin apparently fell out of this, as it fitted with Pauli's attempts to accommodate spin which implied pairs of entities instead of one, but the meaning, if any, of the other 2 remained to be established. Until it was worked out that they would, if real, be antiparticle counterparts of the entity.
Click to expand...
Спин, это как в футболе - с какой ноги пнёшь по мячу, так он и закрутится. Это аналогия.
 
Write4U:

Why won't you answer the question I asked you? It's not a difficult question. You made a claim. Tell me how you know the claim you made is true. If you can.

Stop trying to distract by asking me more questions. Trying to reflect the questions I ask you back onto me is just a smokescreen to cover your own reluctance - or inability - to answer them.

If it's easier, you could just own up and admit that you made a claim you have no reason to expect is true. Then we can move on. But if you're going to stick with it, you need to at least start to try to explain why you think you know it is true.
 
Write4U said:
Yes, but how are tensors created? They don't appear out of nowhere.
Click to expand...
People create them.
Write4U said:
If spacetime itself evolves fractally then is it not the created fractality that is a priori responsible for the emergence of tensors in the process.
Click to expand...
Why do you believe that spacetime "evolves fractally"?
Write4U said:
When we talk about quantum fields in any form, we assume that field consist of a set of fundamental self-similar mathematical values.
Click to expand...
No "we" don't.

"Self-similar mathematical values" is just word salad nonsense you literally just made up.
Write4U said:
To me that suggests types of fractal structures that make up all fields.
Click to expand...
Your made up idea suggests to you other made up ideas. No surprises there!
Write4U said:
Causal dynamical triangulation (CDT), theorized by Renate Loll, Jan Ambjørn and Jerzy Jurkiewicz, is an approach to quantum gravity that, like loop quantum gravity, is background independent.
Click to expand...
You don't understand a thing about it.
Write4U said:
Note that I post these "thought-processes" as probative for further pertinent information on new and potentially important science.
Click to expand...
What thought processes?

You keep making claims you have no justification for. To me, that demonstrates a complete absense of critical thinking.
 
exchemist said:
This has all gone to shit.
Click to expand...
Every thread that Write4U posts in goes to shit, sooner or later.

The intended tone of this one was essentially doomed from the start, because river started the thread with a claim he couldn't begin to support. And now Write4U has taken over where river left off, making further claims that Write4U can't begin to support.

The result is a pile of stinky rotten word salad nonsense, from those two anyway.
 
Write4U:
Write4U said:

Plant microtubule cytoskeleton complexity: microtubule arrays as fractals​

Click to expand...
Please apologise to the readers of this thread for trying to hijack it onto the topic of microtubules, AGAIN.
 
exchemist said:
As I understand it he was struggling to give meaning to Einstein's energy formula E =√((mc²)² + p²c²) when p in QM has to be an operator. He found he could do it if he replaced single variable by matrices, implying there was a family of 4 entities rather than just the one treated by Schrödinger's original equation. Spin apparently fell out of this, as it fitted with Pauli's attempts to accommodate spin which implied pairs of entities instead of one, but the meaning, if any, of the other 2 remained to be established. Until it was worked out that they would, if real, be antiparticle counterparts of the entity.
Click to expand...
His spinors?
He also overcame a couple of problems like negative probability amplitudes Klein encountered previously.
Also the second order issues with position and momentum.

If I had the time I would like to go through a lot of this from scratch like a first year physics student.
This history side on its own is interesting enough and the mathematics is challenging.
 
James R said:
Every thread that Write4U posts in goes to shit, sooner or later.

The intended tone of this one was essentially doomed from the start, because river started the thread with a claim he couldn't begin to support. And now Write4U has taken over where river left off, making further claims that Write4U can't begin to support.

The result is a pile of stinky rotten word salad nonsense, from those two anyway.
Click to expand...
Haha yes I agree, a thread actually started by river has little enough chance. -_O

But there were actualy some good points being made until Write4U started posting random stuff about fractals all over it. I had not picked up that he actually managed to link fractals to microtubules. That's fantastic! :biggrin: Apart from anything else, the guy seems to have zero self-awareness.
 
 
Write4U said:
How am I misreading this synopsis?

i.e. fractal
Click to expand...
No, we don't need fractals for GR or QM. The OP is about how space time can bend and that is described by GR which is Linear algebra, scalars, vectors, tensors, differential geometry and all the tricky notation that goes with it.
 
Write4U said:
How am I misreading this synopsis?

i.e. fractal
Click to expand...
So no. I am trying to engage with you and point you in the direction of Einstein and what he discovered because that is what is relevant.
SR is tricky intuitively but the maths is nowhere near as involved as GR.
Either way this is absolutely zero to do with fractals.
If you mention them again I will probably bail because that will mean you are not that interested in learning anything.
 
Write4U said:
How am I misreading this synopsis?

i.e. fractal
Click to expand...
No, not "i.e. fractal" at all. Fractal means fractional dimension. There is nothing about your Copilot quote that suggests that. Stop this shit about fractals. It's plain you have no idea at all what they are or why they might be relevant or not in any given context.
 
ok, that brings up a simple question. After that, I'll leave it alone

Is the following statement true or false.
Recent theories of quantum gravity suggest a fractal structure for spacetime, where reality is 2D at the Planck scale and gradually becomes 4D at larger scales12. The emergent gravity perspective may manifest in quantum gravity4. The concept of a fractal universe may agree with quantum gravity5.
Click to expand...

Pinball1970
Thank you for your patience and sound advice. But I have no problem with GR. I can intuit the causal functions, without the scientific details.
It's not NEW!

10 inter-connected partial differential equations​

General relativity (GR) employs a set of 10 inter-connected partial differential equations2. These equations are covariant with respect to general coordinate transformations1. Unlike the linear Schrödinger equation in quantum mechanics, GR equations are non-linear3. They extend Newton's laws of motion to a relativistic universe with curved space-time and local Lorentz invariance4. Solving these coupled equations provides information about particle trajectory and the metric of spacetime5
Click to expand...
This is theoretical science and deals with universal mathematics. Note that I have confidence in a mathematical aspect to universal mechanics and Einstein's understanding and command of universal mathematics

But I am intrigued by spacetime curvature from quantum patterns that seem to emerge from very simple fundamental universal processes and are just now being observed due to more powerful observation techniques.

It is Quantum Gravity that intrigues me, because to me, the term quanta as packets with abstract but causal values would suggest a fractal unfolding of fundamental universal geometry, as conceptually described in CDT (Causal Dynamical Triangulation), the simplest 2D pattern that meets the reductionist standard of simplicity and operation consistently across the universe.

Evidence of fractal structures in hadrons​

  • Regular Article - Theoretical Physics
  • Published: 26 April 2024

Abstract​

This study focuses on the presence of (multi)fractal structures in hadronic matter through the momentum distributions of mesons produced in proton-proton collisions between 23 GeV and 63 GeV. The analysis demonstrates that the q-exponential behaviour of the particle momentum distributions is consistent with fractal characteristics, exhibiting fractal structures in confined hadronic matter with features similar to those observed in the deconfined quark-gluon plasma (QGP) regime.
Click to expand...
Furthermore, the systematic analysis of meson production in hadronic collisions at energies below 1 TeV suggests that specific fractal parameters are universal, independently of confinement or deconfinement, while others may be influenced by the quark content of the produced meson. These results pave the way for further research exploring the implications of fractal structures on various physical distributions.

link.springer.com

Evidence of fractal structures in hadrons - The European Physical Journal A

This study focuses on the presence of (multi)fractal structures in hadronic matter through the momentum distributions of mesons produced in proton-proton collisions between 23 GeV and 63 GeV. The analysis demonstrates that the q-exponential behaviour of the particle momentum distributions is...
link.springer.com link.springer.com
Click to expand...
And this seems to confirm the existence of fundamental emergent fractal patterns (curvature) at subatomic levels.

Quantum fractal patterns visualized
Feb. 28, 2025
While the research may not yield any practical applications, at least not right away, the work uncovered features of Hofstadter’s spectrum that are of interest to fundamental physics research. The researchers found that theoretical modeling of the spectrum improved if they included phenomena that are related to electrons interacting with each other, an important feature that was left out of Hofstadter’s original calculations. Including the impact of such interactions is difficult, and experiments become particularly valuable in understanding the many-electron version of this problem. The experimental team worked in close collaboration with a theoretical team led by Prof. Biao Lian of the physics department and his students, who are also co-authors of the paper.
Click to expand...
“The Hofstadter regime is a rich and vibrant spectrum of topological states, and I think being able to image these states could be a very powerful way to understand their quantum properties,” said Michael Scheer, a graduate student in physics at Princeton and one of the paper’s co-lead authors.
Click to expand...
The study, “Spectroscopy of the fractal Hofstadter energy spectrum,” by Kevin P. Nuckolls, Michael G. Scheer, Dillon Wong, Myungchul Oh, Ryan L. Lee, Jonah Herzog-Arbeitman, Kenji Watanabe, Takashi Taniguchi, Biao Lian, and Ali Yazdani, was published on February 26, 2025 in the journal Nature DOI:
Click to expand...
https://doi.org/10.1038/s41586-024-08550-2 (Link is external)

Why should this be controversial to the point of censure? I see it as exciting new knowlege to chew on.
I believe that over time, the concept of a fractal universe will meet the qualifying properties of the "blind watchmaker" buried as a probability in the unfolding of the universal spacetime fabric.

Ok , this is my final post in this otherwise informative thread. I do not wish to offend, but I reserve the right to pursue my preferred subjects. when they are pertinent (IMO) to the OP title.
 
Last edited:
You must log in or register to reply here.
Back
Top