On Jun 18, 6:34 pm, Edward Green wrote:
On Jun 18, 7:44 pm, "Ken S. Tucker" wrote:

On Jun 18, 10:14 am, Edward Green wrote:

That is, how much math?

I know Clifford algebras are popular, but are they necessary?
Quaternions? Grassman thingamgigs?

Lie groups and differential geometry are probably essential, and group
theory in general. Topos theory probably not?

Please help direct my feeble self study. Thanks.

With all due respect, I think the process started
when 2+2 = 5-1, when the "-" was sub'd for "+".
I recall that in early grade school. Do you guys
recall when the "-" operator was introduced?
Ken

Probably subtraction belongs in the "necessary" column, though I may
be going out on a limb here. :-)

That's what SPF is for!

There are names for things with no inverses, hence no "substraction".
I wonder how far we could get with that restriction, in physics.

Not far (IMO), I'll focus on Edwards "inverses", then
ref to Boolean's "universal inverter logic gate(s)" aka NAND,
http://hyperphysics.phy-astr.gsu.edu...onic/nand.html

All *digital* logic can be constructed or equated to
NANDS. I often write computer based "sims", and
all math functions can programmed...so far.
In the case of integration and differentiation, the
reproduction of the result depends upon the tiny
increment. I expect it would be impossible to sim
a continuum using a computer.

The NAND possesses a natural relativity in that
the output result is quantized depending upon the
relative inputs, and all our measurements end up
being quantized, therefore, I'd conclude our entire
knowledge of the universe can be use the NAND.
Regards
Ken S. Tucker

Dear Ken S. Tucker:

"Ken S. Tucker" wrote in message
...
....
I expect it would be impossible to sim
a continuum using a computer.

Then try an analog computer.
Is Nature inherently continuous, or discrete? Maybe you don't
really need a continuum...

David A. Smith

On Jun 20, 6:18 am, "N:dlzc D:aol T:com \(dlzc\)"
wrote:
Dear Ken S. Tucker:

"Ken S. Tucker" wrote in ...
...

I expect it would be impossible to sim
a continuum using a computer.

Then try an analog computer.
Is Nature inherently continuous, or discrete? Maybe you don't
really need a continuum...
David A. Smith

Hi David
I love dedicated analog computers, they
scream. You can regard a radio as one,
but you still end up counting electrons.

IMHO, the differential applies macroscopically
and the continuum is an approximation required
to use differentials
In many problems I use "incremental calculus",
without going to the, as limit Dx =0, Dx=dx.
Regards
Ken S. Tucker

On Jun 20, 1:07 am, "Ken S. Tucker" wrote:
On Jun 18, 6:34 pm, Edward Green wrote:



On Jun 18, 7:44 pm, "Ken S. Tucker" wrote:
On Jun 18, 10:14 am, Edward Green wrote:

The NAND possesses a natural relativity in that
the output result is quantized depending upon the
relative inputs, and all our measurements end up
being quantized, therefore, I'd conclude our entire
knowledge of the universe can be use the NAND.
Natural relativity or natural quantum mechanics? Relativity by
itself has no intrinsic quantization in it.
I heard the opposite. Since quantum mechanics has a natural
projection operators in it that produced quantization, quantum
mechanics can be used to make a superior computer. There is lots of
work on quantum computers right now.
Regards
Ken S. Tucker

On Jun 20, 11:59 am, Darwin123 wrote:
On Jun 20, 1:07 am, "Ken S. Tucker" wrote:

On Jun 18, 6:34 pm, Edward Green wrote:

On Jun 18, 7:44 pm, "Ken S. Tucker" wrote:
On Jun 18, 10:14 am, Edward Green wrote:
The NAND possesses a natural relativity in that
the output result is quantized depending upon the
relative inputs, and all our measurements end up
being quantized, therefore, I'd conclude our entire
knowledge of the universe can be use the NAND.

Natural relativity or natural quantum mechanics? Relativity by
itself has no intrinsic quantization in it.

On the contrary Sir,
I think you would bend Sir
if I provided a tensor.

Does f_u U^u = 0 = q F_uv U^u U^v

look familiar? I can explain it if you want.

I heard the opposite. Since quantum mechanics has a natural
projection operators in it that produced quantization, quantum
mechanics can be used to make a superior computer. There is lots of work on quantum computers right now.

Yeah, if the NAND gate can be mass produced
and hooked together, we have a Q-puter

Regards
Ken S. Tucker

On Jun 20, 3:35 pm, "Ken S. Tucker" wrote:
On Jun 20, 11:59 am, Darwin123 wrote:

On Jun 20, 1:07 am, "Ken S. Tucker" wrote:


Yeah, if the NAND gate can be mass produced
and hooked together, we have a Q-puter

Regards
Ken S. Tucker

The NAND gate can be mass produced and hooked to gether. I think its
called - a digital computer.