QM is deeply inconsistent and full of contradictions

Siegfried,

I mentioned that from a contradiction, one can prove anything. Here is an
explanation for this well known result in logic.

Historically there was a long lasted dispute on the meaning of logical
implication P-->Q.
The following table is currently accepted meaning of P-->Q

                    P Q   P-->Q
                    -------------
                    t t     t
                    t f     f
                    f t     t
                    f f     f

This is called material implication and the dispute on this is for the
case P=f. There are still some philosophical dispute on this meaning going
on. But in mathematicians community this is well established. The reason
why we need this "strange" truth values for P-->Q when P=f is simple. We
need it to make sure that the logical equivalence P<-->Q
which has the following truth table for meaning

                    P Q   P-->Q
                    ------------
                    t  t    t
                    t  f    f
                    f  t    f
                    f  f    t

Naturally we expect P<-->Q is the same as P-->Q & Q-->P. Then we need the
material implication.

It is this material implication which logically derives any proposition Q
from a contradiction. Contradiction is f (false). So in a system which is
inconsistent (which derives f) we prove f and so using the P-->Q with it,
we can prove Q for any Q. This is what logicians call "deductive
explosion". It is precisely for this reason, we mathematicians reject any
theory which is inconsistent. An inconsistent theory will tell you that
everything is true.

In case of Relativity Theory and QM they assume 0/0=hf. This leads to a
contradiction as

(0/0)xhf=1xhf=hf
(0/0)xhf=(0xhf)/0=0/0=1

So, from any theory which assumes 0/0=hf, we can prove anything. This
means such theory is inconsistent and totally useless. Only geniuses of
theoretical physics think such theory is correct.

Humanity does not need geniuses. We need good thinkers.

Akira

Dear Akira,

Consistency of any theory is tested by individuals, it is not assessed by

some abstract universal and objective agent.  The question whether QM is

consistent in my estimation is, indeed up to me as far as whether I expend

time entertaining this question.  That is the point of my comment, not

whether QM is consistent as a purely objective question.  In any case, it

seems to me part of the challenge here is whether the question is clear

enough to be considered objectively answerable.  It is not, as stated in

this forum.

Siegfried

-------

Siegfried

Here is a good argument which will enlighten physicists regarding
contradiction. Contradiction could be very constructive too. Physicists
think that contradictions are inconvenient truth (negative truth) which
has to be covered up or ignored. I presume that this is a common human
nature. But if you think about the history of mathematics, you will be
amazed by the constructive role contradictions played in maths.

Ancient Greek geometers extensively used the proof technique of "proof by
contradiction". It is unfortunate that due to the upstart Americanization
(globalization) of education, nowhere in the entire world, students learn
Euclidean geometry properly. I am sure that this ancient discipline of
mathematics is way more important than the upstart Computational
Complexity theory which some upstart American Computer scientists such as
Ullman and Hopcroft developed.

The infamous Zeno's paradox taught mathematicians that the structure of
the collection of rational numbers is not sufficient to build mathematics
which works in real life. This eventually lead to the discovery of real
real numbers and limits yielding what we now call calculus.

From the lesson of Cantor's paradox, Alan Turing reached the concept of
formal computation in his attempt to clarify what do we mean by
mathematical proof. With this, Turing knew that most of the mathematical
functions are not computable. He proved this result aka the Halting
Problem using proof by contradiction. It goes ad follows: Assume that we
have a program which given a program D applied D to D itself and determine
if the computation stops or not. Let H(D) be such a program. From this
H(D), we can write a program H'(D) such that it terminates when H(D) does
not terminate and it goes into infinite loop when H(D) terminates. What
happened we execute H'(H'). At the pain of contradiction, we can conclude
that there is no way to write a program H(D).

Unlike arrogant theoretical physicists, mathematical logicians humbled
themselves after learning this deadly result of Turing. In theoretical
physics, I am sure he would well have been dismissed as "lunatic fringe"
or "crank". So I wonder who are real crank, lunatic fringe.

So, the consistency of a theory is not something which theoretical
physicists think.

Akira

Siegfried,

Here is a perfect example of how Cantor's set theory was shown to be

inconsistent from which we mathematicians have not recovered yet as we do

use set theory in contemporary mathematics.

In cantor's set theory, the first set theory ever defined, we define a

set

using a predicate P(x) as follows:

{x:P(x)}

denotes a set of objects x such that P(x) is true. For example we all

know

what {x:0<x<1} means. it is an open interval (0,1) in calculus. All 19th

German mathematicians at Gottingen were very happy with using this

concept

in very elementary way in the development of what we now call

mathematical

analysis. In his attempt to show that the Fourier expansion is unique,

Cantor pushed the limit of set theory to where all elements of any set

are

sets, the so called abstract set theory. He introduced the above

mentioned

way of defining such set, namely the axiom of comprehension.

In his developing of transfinite set theory to consider hierarchy of sets

in his typeless set theory, he discovered that his set theory is

inconsistent. When he announced this, mathematicians community was

shocked

and refused to accept Cantor's announcement. It was Bertrand Russell who

tried to debunk Cantor's inconsistency result discovered that there is a

simple most proof for that cantor's set theory is inconsistent. Here it

goes:

Let R={x:x not in x}. This is a set. So either R in R or R not in R.

(Case 1): R in R.

Then by the definition of R, R is not in R. So, contradiction.

(case 2): R not in R.

Then by the definition of R, R is in R. Again contradiction.

So in either case, we have contradiction.

This simple most refutation of Cantor's set theory was well understood by

mathematical logicians who think most precisely among mathematicians.

However, virtually no mathematical physicist understood this argument.

Their rather elementary criticism was that R is  very unnaturally

defined,

though they could not say what is natural here. Never the less if the

Fourier expansion is unique or not is not the matter of concern for

sloppy

mathematical physicists.

To respond to this petty criticism from mathematical physicists,

Miramanov

showed the following more intricate proof for the inconsistency of

Cantor's set theory. He defined that a set X is "well founded" if there

is

no element in X from which there is an infinite descending chain of

membership (in) relation. Then he defined W to be the set of all well

founded sets. You can check your self that if W is well founded then we

have a contradiction. If W is not well founded, we also have a

contradiction. Quite clearly this remarkable argument of Miramanov was

too

much work for mathematical physicists who criticized Russell's paradox.

So, what can we do. Physicists have no patience to understand mathematics

they use. For them Mathematics is just a language. Let me say that if you

want to use a language, you better understand the language. From

mathematician's point if view, what is happening in theoretical physics

is

just all wrong.

I personally tried many times to tell physicists that their theory is

fundamentally flawed mathematically. It is all pure nonsense.

They say that they have experimental verification. I ask verification of

what? When yoy have no coherent definition of a theory, how can you

verify

it. Almost all the so called experimental verification are flat wrong.

They are assuming much more than the theory to be verified allow. As they

have no idea what is the precise definition of the theory, fortunately

they will not realize their fatal errors.

As I pointed out, the worst of all is QM. The Uncertainty Principle

claims

that when localized a particle turns into wave and this is how they

explicate the double slit experiment. Then how is it possible that a

particle which hit a water molecule in Wilson Chamber will leave

trajectory? As you know the resolution of the localization by slit is

much

much lower than that of a water molecule.

Sorry for being direct and rude. But I have to say that Physicists are

the

most dishonest political animals I have ever dealt with in science.

Virtually all of them respond to this kind of fatal criticisms with

political repression, name calling.

It is my personal but quite accurate view that any field which needs

"geniuses" are not worth taking seriously. In mathematics, we have no

geniuses. A lot of us refuse to put name on results.

Akira

Siegfried,

What do you mean by theory then? What do you mean by testing a theory?

How

can an individual test the theory?

It was Bertrand Russell who killed physics completely. He said when we

verify a physical theory using experiment we use the theory to verify

to

devise the experiment and so it is vicious circle. When we refute a

physical theory by experiment, we also use the theory to refute to

devise

the experiment. So, this is self-refutation (contradiction).

This very clearly tells us that it is impossible to refute or verify

any

physical theory by experiment.

How about logical inconsistency? When a theory is logically

inconsistent,

it proves false. Then from the laws of logic, we can prove anything

once

we prove false. This means a logically inconsistent theory is totally

useless as it proves any prediction. So, it was Karl Popper who said

that

we must reject any theory which proves false (is inconsistent). Only

Physicists do not understand this simple principle.

For example, Einstein's claim that 0/0 = hf is false. Assume it is true

then

(0/0)x(hf)=1xhf=hf.

Also (0/0)x(hf)=0x(hf)/0=0/0=1.

So we have hf=1.

This is an elementary school level mathematics which only Physicists do

not understand.

I spent time to learn about physics to discuss it. I do not think

physicists are willing to learn about mathematics and logic. When

theoretical physicists accepted that 0/0 =hf, theoretical physics

became

an absolute joke among those who think. As far as I can see,

theoretical

physics is much worse than religion.

Never mind Einstein, he also was a victim of the wrong culture of

theoretical physics. Assume m and M pull each other with the

gravitational

force GmM/r^2. Then for M, m is approaching with acceleration GM/r^2.

For

m, M is approaching with acceleration mG/r^2. So if M=/=m m and M are

moving towards each other with different speed?! It took me a while to

find out what went wrong with theoretical physics regarding this. Let

me

tell you that Newton was the only one who dealt with this problem

correct!

Some German Prof. of Physics told me kin panic that this problem was

resolved by Feynman's QED?!

So, the consistency of physical theories is extremely objective. It

requires some solid back ground to consider this issue. ....

Dear Akira,

Consistency of any theory is tested by individuals, it is not assessed

by

some abstract universal and objective agent.  The question whether QM

is

consistent in my estimation is, indeed up to me as far as whether I

expend

time entertaining this question.  That is the point of my comment, not

whether QM is consistent as a purely objective question.  In any case,

it

seems to me part of the challenge here is whether the question is

clear

enough to be considered objectively answerable.  It is not, as stated

in

this forum.

Siegfried

Sent from Outlook<http://aka.ms/weboutlook>

________________________________

From: Akira Kanda <kanda@cs.toronto.edu>

Sent: Friday, February 24, 2017 1:11 AM

To: SBleher@msn.com

Cc: Victor Christianto

Subject: Re: QM is deeply inconsistent and completely waste oftime

Dear Siegfrid,

I do appreciate the offer to discuss further, but to me QM is not at

all

inconsistent.

If some theory is consistent or not has nothing to do with a

particular

individual.  It is a purely objective and universal question. The

question

is not if QM is consistent for you or not. It is if it is consistent

or

not.

In decent science, scientists have duty to take this kind of

questions

seriously.

Akira

Dear Siegfried

Thank you for your clarification, yes it seems we disagree on the

ultimate

source of so many contradictory interpretations of wavefunction. My

assertion is that the Schrodinger wavefunction is unphysical,

unlike

electromagnetic waves.

Please check my paper: http://www.vixra.org/abs/1405.0311

This paper was inspired by reading papers of Dr. George Shpenkov,

see

his

website:

http://shpenkov.janmax.com

Ps: dear Dr. Shpenkov allow me to introduce you to Dr. Siegfried, a

physicist.

Yours,

Victor Christianto

*Founder and Technical Director,

www.ketindo.com<http://www.ketindo.com>

E-learning and consulting services in renewable energy

**Founder of Second Coming Institute,

www.sci4God.com<http://www.sci4God.com>

Http://www.facebook.com/vchristianto

Twitter: @Christianto2013

Phone: (62) 812-30663059

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http://fs.gallup.unm.edu/APS-Abstracts/APS-Abstracts-list.htm

http://independent.academia.edu/VChristianto

Http://researchgate.net/profile/Victor_Christianto/

Http://id.linkedin.com/pub/victor-christianto/b/115/167

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Http://gospel.16mb.com

http://www.kenosis4mission.tk

http://www.twelvegates.tk

On Feb 24, 2017, at 9:29, Siegfried Bleher <SBleher@msn.com> wrote:

Dear Victor,

Thank you for responding.  I agree there is an ongoing debate on

the

interpretation of QM.  But, may I offer that the debate is not

with

its

use or usefulness, rather with its interpretation, as you point

out.

The two items you point to highlight potential inconsistencies in

the

Schrodinger equation itself, not with the interpretation of QM,

and

as

my first response tried to emphasize, there are no inconsistencies

in

the derivation of the Schrodinger equation, nor in its

application.

Physicists typically are happy to discuss issues that are

testable,

falsifiable.  The ongoing debates have more to do with our own

discomfort with QM's predictions than they have with something

inconsistent with QM.  The main point of debate is really why

should

there be or what is the meaning of the tremendous reduction in

possibilities represented by the Schrodinger equation when an

observation takes place (from infinite to one).  So, in fact the

only

argument appears when we try to make the SE conform to our notions

of

what is physical or real.

Just a note on your second point—the Schrodinger equation is

indeed

similar in mathematical form to the classical wave equations

(including

equations for electromagnetic waves), except it contains a first

order

partial differential term with respect to time, instead of

second-order

terms.  The wavenumber k may vary in the case of the classical

wave

equations, if there is a medium with variable dispersion relation;

if

the speed of  sound varies with location within the medium that

carries

the wave.  For example, if the density of a material varies with

respect

to displacement within it, then k = k(x) is no longer a constant.

Also a point of clarification regarding the ubiquity of QM in

modern

electronic devices.  As you point out we do not yet have

commercially

available quantum computers.  But that's not what I was pointing

to.

All modern devices make heavy use of semiconductors, the complete

understanding of which is not possible without QM. Band-gap

theory,

electron and hole transport theory all require QM to understand

and

implement, especially at the tiny scales we build integrated

circuits

today.

I do appreciate the offer to discuss further, but to me QM is not

at

all

inconsistent.

Sincerely,