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Collector
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Re: Quantum Question

September 30th, 2018, 3:14 pm

Atomist relativistic QM

\(c^2 \frac{\partial^2 \bar{\Psi}}{\partial t^2}-\nabla^2\bar{\Psi}-\frac{c^2}{\bar{\lambda}^2}\bar{\Psi}=0\)

\(\hat{p}=il_p\frac{\partial}{\partial x}\bar{\Psi}\) 

F*8c the wave-particle duality, it is a particle void duality. \(l_p\) the diameter of Newton's God particle!  Using different and simpler and better mass definition measure here, mass is the reduced Compton frequency per Planck second, in other words for rest mass simply \(\frac{l_p}{\bar{\lambda}}\). So yes the God particle has reduced Compton frequency per Planck second = 1, other particle with lower mass are fractions (also known as probabilities). God only created whole numbers, fractions are due to not keeping track of every Planck second, human stuff..


\begin{equation}
\bar{\Psi}=e^{i\left(\frac{\breve{p}}{l_p}x-\frac{\breve{E}}{l_p} t\right)}
\end{equation}

but I am still not happy with equations needing i. Not sure should or need to follow the recipe of modern physics...my least favorite part of atomism so far.
 
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Cuchulainn
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Re: Quantum Question

September 30th, 2018, 4:12 pm

This PDE needs

1. Boundary conditions (a long relativistic string?)
2. Initial conditions (2 of them)

Maybe split into real and imaginary parts and solve each one as a separate PDE (the way Fresnel integrals can be solved kind of).
 
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Collector
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Re: Quantum Question

September 30th, 2018, 4:23 pm

I wonder if atomism even fully compatible with the concept of PDE (even at Planck scale, when reaching the indivisible diameter), is it not some continuous requirements then? 
 
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Cuchulainn
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Re: Quantum Question

September 30th, 2018, 6:35 pm

I wonder if atomism even fully compatible with the concept of PDE (even at Planck scale, when reaching the indivisible diameter), is it not some continuous requirements then? 
Atomism might be too granular. PDE underlying space is smooth.
 
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Collector
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Re: Quantum Question

September 30th, 2018, 6:37 pm

I wonder if atomism even fully compatible with the concept of PDE (even at Planck scale, when reaching the indivisible diameter), is it not some continuous requirements then? 
Atomism might be too granular. PDE underlying space is smooth.
So still hope I can get rid of i , how to kill it...
 
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Cuchulainn
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Re: Quantum Question

September 30th, 2018, 7:46 pm

I wonder if atomism even fully compatible with the concept of PDE (even at Planck scale, when reaching the indivisible diameter), is it not some continuous requirements then? 
Atomism might be too granular. PDE underlying space is smooth.
So still hope I can get rid of i , how to kill it...
You can't kill [$]\sqrt-1[$], it's imaginary. unless ..

Image

Seriously, are you starting from a PDE?
Last edited by Cuchulainn on September 30th, 2018, 8:39 pm, edited 1 time in total.
 
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Cuchulainn
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Re: Quantum Question

September 30th, 2018, 7:51 pm

Quaternions are tougher and there's mote of them

Image
 
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Cuchulainn
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Re: Quantum Question

September 30th, 2018, 7:53 pm

Octonians

Image
 
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katastrofa
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Re: Quantum Question

October 1st, 2018, 1:11 am

Just be careful not to kill science during your crusades against its foundations, Collector. It's in a poor state anyway.
 
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Collector
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Re: Quantum Question

October 1st, 2018, 5:47 am

I am the (last?) protector of the foundation, the true Atom (ἄτομον: uncuttable (quantum) ), not the modern fashion composite cuttable polluted version of it. 
 
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katastrofa
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Re: Quantum Question

October 1st, 2018, 12:19 pm

How do you feel with the fact that all you've achieved in your life (including writing your post) was owing to the latter?
 
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ppauper
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Re: Quantum Question

October 10th, 2018, 8:11 am

Britain's BBC has a unique take on quantum mechanics

 
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Cuchulainn
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Re: Quantum Question

October 10th, 2018, 8:25 am

It's only a model.
 
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ppauper
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Re: Quantum Question

October 20th, 2018, 9:02 am

Five mysteries the Standard Model can’t explain
1) Why do neutrinos have mass?
2) What is dark matter?
3) Why is there so much matter in the universe?
4) Why is the expansion of the universe accelerating?
5) Is there a particle associated with the force of gravity?

let's hope the collector can solve some of these