Re: Superconducting Diodes and Quantum Computers

2026-01-22 Thread Brent Meeker 



On 1/22/2026 3:46 AM, John Clark wrote:
On Wed, Jan 21, 2026 at 9:35 PM Brent Meeker  
wrote:


//
/> OK, I see my mistake.  I was looking at whether the swapping
was order independent.

But your post, "and because they are Non-Abelian, swapping M1 and
M2 and then M2 and M3, gives a different result than swapping M2
and M3, and then M1 and M2."  is unnecessarily complicated. 
Swapping M1 and M2 gives a different results if they are non-Abelian./


*I used that as an examplebecause not only does it demonstrate how 
exotic  non-Abelianparticles can encode information in ways that 
regular everyday Abelianparticles cannot, *

Yes, M1*M2 is a different bit than M2*M1.

Brent


*it also shows how that information can be used to perform 
calculations that Abelianparticles cannot. *


*John K Clark See what's on my new list at Extropolis 
*

*
*

6hu*
*

eh7




Brent

On 1/21/2026 5:16 AM, John Clark wrote:

On Tue, Jan 20, 2026 at 4:02 PM Brent Meeker
 wrote:

//
/> Doesn't that give different results whether they are
Abelian or not.
m1, m2, m3 -> m2,m1,m3 -> m3,m1,m2
m1, m2, m3 -> m1,m3,m2 -> m2,m3,m1/

*If the interactions with the following particles _are
__Abelian_then the final result of*
*
*
*{ [(M1*M2)*M3]*(M2*M1)*M3*] }*(M3*M1)*M2*
*
*
*would be _identical_ to the final result ofthe following reactions
*
*
*
*{ [(M1*M2)*M3]*(M1*M3)*M2*] }*(M2*M3)*M1 *
*
*
*But if you do the same thing with particles that _areNOT
Abelian_then those two results would NOT be the same. *
*
*



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Re: Superconducting Diodes and Quantum Computers

2026-01-22 Thread John Clark 
On Wed, Jan 21, 2026 at 9:35 PM Brent Meeker  wrote:


>
> * > OK, I see my mistake.  I was looking at whether the swapping was order
> independent. But your post, "and because they are Non-Abelian, swapping M1
> and M2 and then M2 and M3, gives a different result than swapping M2 and
> M3, and then M1 and M2."  is unnecessarily complicated.  Swapping M1 and M2
> gives a different results if they are non-Abelian.*
>

*I used that as an example because not only does it demonstrate how
exotic  non-Abelian particles can encode information in ways that regular
everyday Abelian particles cannot,  it also shows how that information can
be used to perform calculations that Abelian particles cannot. *

* John K ClarkSee what's on my new list at  Extropolis
*

6hu

eh7




Brent
>
> On 1/21/2026 5:16 AM, John Clark wrote:
>
> On Tue, Jan 20, 2026 at 4:02 PM Brent Meeker 
> wrote:
>
>
>>
>> * > Doesn't that give different results whether they are Abelian or not.
>> m1, m2, m3 -> m2,m1,m3 -> m3,m1,m2 m1, m2, m3 -> m1,m3,m2 -> m2,m3,m1*
>>
>
> *If the interactions with the following particles are Abelian then the
> final result of*
>
> *{ [(M1*M2)*M3]*(M2*M1)*M3*] }*(M3*M1)*M2*
>
>
> *would be identical to the final result of the following reactions  *
>
> *{ [(M1*M2)*M3]*(M1*M3)*M2*] }*(M2*M3)*M1 *
>
> *But if you do the same thing with particles that are NOT Abelian then
> those two results would NOT be the same. *
>
>
>
>>

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Re: Superconducting Diodes and Quantum Computers

2026-01-21 Thread Brent Meeker 
OK, I see my mistake.  I was looking at whether the swapping was order 
independent.


But your post, /"and because they are Non-Abelian, swapping M1 and M2 
and then M2 and M3, gives a different result than swapping M2 and M3, 
and then M1 and M2."/  is unnecessarily complicated.  Swapping M1 and M2 
gives a different results if they are non-Abelian.


Brent

On 1/21/2026 5:16 AM, John Clark wrote:
On Tue, Jan 20, 2026 at 4:02 PM Brent Meeker  
wrote:


//
/> Doesn't that give different results whether they are Abelian or
not.
m1, m2, m3 -> m2,m1,m3 -> m3,m1,m2
m1, m2, m3 -> m1,m3,m2 -> m2,m3,m1/

*If the interactions with the following particles _are __Abelian_then 
the final result of*

*
*
*{ [(M1*M2)*M3]*(M2*M1)*M3*] }*(M3*M1)*M2*
*
*
*would be _identical_ to the final result ofthe following reactions
*
*
*
*{ [(M1*M2)*M3]*(M1*M3)*M2*] }*(M2*M3)*M1 *
*
*
*But if you do the same thing with particles that _areNOT Abelian_then 
those two results would NOT be the same. *

*
*
*John K Clark    See what's on my new list at Extropolis 
*

eh7


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.


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Re: Superconducting Diodes and Quantum Computers

2026-01-21 Thread John Clark 
On Tue, Jan 20, 2026 at 4:02 PM Brent Meeker  wrote:


>
> * > Doesn't that give different results whether they are Abelian or not.
> m1, m2, m3 -> m2,m1,m3 -> m3,m1,m2 m1, m2, m3 -> m1,m3,m2 -> m2,m3,m1*
>

*If the interactions with the following particles are Abelian then the
final result of*

*{ [(M1*M2)*M3]*(M2*M1)*M3*] }*(M3*M1)*M2*


*would be identical to the final result of the following reactions *

*{ [(M1*M2)*M3]*(M1*M3)*M2*] }*(M2*M3)*M1 *

*But if you do the same thing with particles that are NOT Abelian then
those two results would NOT be the same. *

* John K ClarkSee what's on my new list at  Extropolis
*
eh7

>
>

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Re: Superconducting Diodes and Quantum Computers

2026-01-20 Thread Brent Meeker 

Doesn't that give different results whether they are Abelian or not.

m1, m2, m3 -> m2,m1,m3 -> m3,m1,m2
m1, m2, m3 -> m1,m3,m2 -> m2,m3,m1

Brent


On 1/19/2026 4:59 AM, John Clark wrote:
and because they are Non-Abelian, swapping M1 and M2and then M2 and 
M3, gives a different result than swapping M2 and M3, and then M1 and M2.


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