SERVING THE QUANTITATIVE FINANCE COMMUNITY

Collector
Posts: 4104
Joined: August 21st, 2001, 12:37 pm

### Re: Quantum Question

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..

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

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.

Cuchulainn
Posts: 58095
Joined: July 16th, 2004, 7:38 am
Location: Amsterdam
Contact:

### Re: Quantum Question

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).

Collector
Posts: 4104
Joined: August 21st, 2001, 12:37 pm

### Re: Quantum Question

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?

Cuchulainn
Posts: 58095
Joined: July 16th, 2004, 7:38 am
Location: Amsterdam
Contact:

### Re: Quantum Question

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.

Collector
Posts: 4104
Joined: August 21st, 2001, 12:37 pm

### Re: Quantum Question

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...

Cuchulainn
Posts: 58095
Joined: July 16th, 2004, 7:38 am
Location: Amsterdam
Contact:

### Re: Quantum Question

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 ..

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

Cuchulainn
Posts: 58095
Joined: July 16th, 2004, 7:38 am
Location: Amsterdam
Contact:

### Re: Quantum Question

Quaternions are tougher and there's mote of them

Cuchulainn
Posts: 58095
Joined: July 16th, 2004, 7:38 am
Location: Amsterdam
Contact:

### Re: Quantum Question

Octonians

katastrofa
Posts: 7042
Joined: August 16th, 2007, 5:36 am
Location: Alpha Centauri

### Re: Quantum Question

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

Collector
Posts: 4104
Joined: August 21st, 2001, 12:37 pm

### Re: Quantum Question

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

katastrofa
Posts: 7042
Joined: August 16th, 2007, 5:36 am
Location: Alpha Centauri

### Re: Quantum Question

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

ppauper
Posts: 70239
Joined: November 15th, 2001, 1:29 pm

### Re: Quantum Question

Britain's BBC has a unique take on quantum mechanics

Cuchulainn
Posts: 58095
Joined: July 16th, 2004, 7:38 am
Location: Amsterdam
Contact:

### Re: Quantum Question

It's only a model.

ppauper
Posts: 70239
Joined: November 15th, 2001, 1:29 pm

### Re: Quantum Question

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