SERVING THE QUANTITATIVE FINANCE COMMUNITY

 
User avatar
Collector
Posts: 3869
Joined: August 21st, 2001, 12:37 pm

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.
 
User avatar
Cuchulainn
Posts: 56926
Joined: July 16th, 2004, 7:38 am
Location: Amsterdam
Contact:

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).
 
User avatar
Collector
Posts: 3869
Joined: August 21st, 2001, 12:37 pm

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? 
 
User avatar
Cuchulainn
Posts: 56926
Joined: July 16th, 2004, 7:38 am
Location: Amsterdam
Contact:

Re: Quantum Question

September 30th, 2018, 6:35 pm

Collector wrote:
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.
 
User avatar
Collector
Posts: 3869
Joined: August 21st, 2001, 12:37 pm

Re: Quantum Question

September 30th, 2018, 6:37 pm

Cuchulainn wrote:
Collector wrote:
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...
 
User avatar
Cuchulainn
Posts: 56926
Joined: July 16th, 2004, 7:38 am
Location: Amsterdam
Contact:

Re: Quantum Question

September 30th, 2018, 7:46 pm

Collector wrote:
Cuchulainn wrote:
Collector wrote:
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
 
User avatar
Cuchulainn
Posts: 56926
Joined: July 16th, 2004, 7:38 am
Location: Amsterdam
Contact:

Re: Quantum Question

September 30th, 2018, 7:51 pm

Quaternions are tougher and there's mote of them

Image
 
User avatar
Cuchulainn
Posts: 56926
Joined: July 16th, 2004, 7:38 am
Location: Amsterdam
Contact:

Re: Quantum Question

September 30th, 2018, 7:53 pm

Octonians

Image
 
User avatar
katastrofa
Posts: 6276
Joined: August 16th, 2007, 5:36 am
Location: Alpha Centauri

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.
 
User avatar
Collector
Posts: 3869
Joined: August 21st, 2001, 12:37 pm

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. 
 
User avatar
katastrofa
Posts: 6276
Joined: August 16th, 2007, 5:36 am
Location: Alpha Centauri

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?
 
User avatar
ppauper
Posts: 68788
Joined: November 15th, 2001, 1:29 pm

Re: Quantum Question

October 10th, 2018, 8:11 am

Britain's BBC has a unique take on quantum mechanics

 
User avatar
Cuchulainn
Posts: 56926
Joined: July 16th, 2004, 7:38 am
Location: Amsterdam
Contact:

Re: Quantum Question

October 10th, 2018, 8:25 am

It's only a model.
ABOUT WILMOTT

PW by JB

Wilmott.com has been "Serving the Quantitative Finance Community" since 2001. Continued...


JOBS BOARD

JOBS BOARD

Looking for a quant job, risk, algo trading,...? Browse jobs here...