## tisdag 16 maj 2017

### realQM Excited States

I have updated realQM with a section on
The interested reader will there find that realQM offers a natural way to model excitation of electrons in an outermost shell by replacing the electrons in inner shells and the kernel by an effective kernel of a certain radius and reduced charge, thus relating in principle excitation of all atoms to that of Hydrogen.

In realQM electron wave functions have local support and occupy different domains i space, which gives the model with an effective kernel a direct physical meaning, while in stdQM wave functions have global support and precise allocation of electrons to different shells is impossible.

### Classical vs Quantum Physics According to Lubos

Lubos Motl as devoted soldier in the army of Bohr-Born-Heisenberg is preaching the Copenhagen Interpretation of quantum mechanics and anybody raising any doubt will be subject to scorn, the most recent victim being Christopher Fuch as expressed in the post: Qbism: Fuch vs Bohr+Motl. Here is Lubos credo from the post:
• Classical physics allows you to assume that some things objectively exist. You may make true statements about the objects in Nature but there are underlying objects and all the true statements are just reflections of something that is out there.
• Quantum mechanics allows you to assign truth values or probabilities (a continuous version of the truth value) to propositions about Nature, too. However, you can no longer assume that the true statements that you may derive from quantum mechanics are reflections of the objective reality.
• That makes sense. Quantum mechanics is an analogy of mathematical logic that allows you to prove and derive new valid propositions out of some assumed ones, the axioms.
No Lubos, it does not make sense; if quantum mechanics is not a "reflection of the objective reality", then it is fantasy and nothing but fantasy, and then it is not science but only tragedy.

If you seek for a quantum mechanics as "a reflection of objective reality", then realQM may be what you are looking for. Try it out!

## lördag 6 maj 2017

### Schrödinger: Do Electrons Think?

Schrödinger's equation is the basic basic mathematical model of quantum mechanics. It was first formulated for the Hydrogen atom with one electron in terms of a wave function $\psi (x,t)$ depending on a 3d space coordinate $x$ and a time coordinate $t$, with $\vert\psi (x,t)\vert^2$ representing electron charge density at $(x,t)$. Schrödinger's equation expresses stationarity of an associated energy functional and the ground state is defined as the charge density of minimal energy.

Since the agreement between model and observation was perfect for Hydrogen, Schrödinger's equation was greeted as the most stunning triumph of the human mind since Newton's law of gravitation.

The generalisation of Schrödinger's equation to atoms with $N > 1$ electrons presented itself
as a formal extension into a wave function $\psi (x_1,...,x_N)$ depending on $N$ 3d space coordinates $x_j$, altogether $3N$ space coordinates.  But such a multi-d wave function could no longer be interpreted as a charge density in physical 3d space,  only as the probability to find at any given time electron $j$ at position $x_j$ for $j=1,...,N,$ as if the electrons as particles were randomly jumping around. This was coined the Copenhagen Interpretation of Bohr-Born-Heisenberg which took over the scene against heavy protests from Schrödinger and Einstein among others.

Schrödinger phrased his protest in many ways and in particular as the question do electrons think? Schrödinger argued that if electrons jump around randomly as in the Copenhagen Interpretation, then they cannot be viewed to think.  But if electrons instead in a deterministic way react upon forces so as to minimise energy, then they can be viewed to think in some sense. Schrödinger would thus give his answer as: Yes, electrons do think! as a protest to the randomness without thought of the Copenhagen Interpretation.

This connects to Descartes "I think and therefore I am (exist)". With the same logic for the electron, physical existence would be linked to thinking and so electrons do exist because they think and do not jump randomly without thought.

What do you think?

## fredag 5 maj 2017

### New Web Site: Real Quantum Mechanics

I have launched a new web site describing a new approach to atom physics in terms of classical continuum mechanics in three space dimensions named realQM or
also presented as a book in draft form. Take a look and see if you get encouraged to follow the further development of this project.

## onsdag 3 maj 2017

### Programmering i Matematikämnet: Så Lite Som Möjligt?

Regeringen beslutade 090317 att med start ht17 programmering skall ingå som en del av matematikundervisningen i grundskola och gymnasium, se tidigare bloggpost.

För att detta skall bli verklighet fordras utveckling av nya läromedel och fortbildning av lärare.

För detta ändamål säger sig Skolverket vilja tillföra några moduler på Lärportalen i stil med de moduler som utformats för Matematiklyftet av bl a NCM i Göteborg.

Kommer detta att räcka? Det beror på målsättningen, som kan vara allt från (1) så lite som möjligt till (2) lite mera till (3) så mycket som vore befogat med tanke på Regeringens uppdrag.

Här kan vi förvänta oss stor uppslutning för (1) eftersom det finns starka krafter som vill behålla matematikundervisningen i sin traditionella form utan störande inslag av programmering. Med (1) förenklas ju uppgiften vad gäller nya läromedel och fortbildning avsevärt, då nästan inget behöver göras.

Eftersom ingen aktion har varit märkbar efter Regeringens beslut i mars och ht17 snart är här, så verkar det vara så att skolvärlden ställer in sig på (1). Men det var inte (1) Regeringen avsåg.

Jag har förslagit NCM att jag skulle kunna bidra med Matematik-IT som är i linje med (3). Vi får se om NCM tycker det vore bra eller om det är (1) som gäller även på NCM.

Vad gäller att sätta ett tak på nivå (1) för alla, som mycket väl kan bli verklighet, kan man säga att det inte vore i linje med Regeringens intentioner.  Nog borde det väl kunna få finnas alternativ i linje med (2) och (3) för de skolor/lärare som vill mer än (1)? Eller skulle det störa en princip om likformig skola?

PS Varken Svenska Matematikersamfundet eller Nationalkommitten för Matematik har uttryckt någon mening vad gäller Regeringens beslut om att förändra matematikundervisningen i skolan. Detta är i linje med tidigare hållning att inte befatta sig med skolmatematik, och i fall (1) behöver ju inte heller något sägas.

## tisdag 2 maj 2017

### CO2 Global Warming Alarmism: Hour of Reckoning

Driving in the wrong direction on a one-way street, firmly believing it to be a two-way street, is stupid and potentially deadly hazardous for other people.

The US Environmental Protection Agency EPA has now cleansed its web page from CO2 global warming alarmism and US Energy Sec. Perry declares
• We should ‘renegotiate’ the Paris Climate Change Agreement,
This signals the beginning of the end of the CO2 alarmism driven by EU politicians and US Democrats:
This is a victory for rational science showing that the "CO2 greenhouse effect" has been artificially
boosted to seemingly dangerous levels without proper scientific evidence, only in order to fit a certain political agenda.

I feel happy to have contributed to this insight through an analysis of the unphysical nature of the concept of "back radiation" which is central to the proclaimed alarmingly big "CO2 greenhouse effect".

You find "back radiation" in many books on atmospheric physics as one part of a "two-stream" radiative transfer model originally proposed by Schwarzschild in 1905 with net heat transfer warm-to-cold as the difference of two gross heat transfers warm-to-cold and cold-to-warm.

But what you find in many physics books is not necessarily true physics, and this is the case with two-stream radiative heat transfer, which is fake-science. This is because heat transfer cold-to-warm violates the 2nd law of thermodynamics. In the two-stream Schwarzschild equations this is present as an effect of unphysical absorption from unphysical back radiation. Schwarzschild formulated his model to allow analytical solution as first priority and did not worry about unphysical aspects.

Two-stream radiative transfer is based on a mis-interpretation of Stefan-Boltzmann-Planck's Law $\sigma T^4$ as the radiative heat energy emitted by a black body of temperature $T$ Kelvin independent of the temperature of the environment of the body, while the physically correct interpretation is  radiative energy emitted into a background of temperature zero Kelvin.

The radiative heat energy emitted by a black body of temperature $T$ in an environment of temperature $T_0$ is thus given by $\sigma (T^4-T_0^4)$ if $T_0\le T$. If $T_0>T$ then the body absorbs energy from the environment and emits no energy.

The mis-interpretation of SBP law is widely spread and apparently accepted by many more or less prominent physicists. This is made possible by the fact that the standard derivation of the SBP law is based on statistics obscuring real physics. I have given an alternative derivation based on transparent physics exhibiting the mis-interpretation.

CO2 alarmists like two-stream gross flow because small changes of gross flow can be big and support alarmism, while small changes of net flow will remain small and give no reason for alarm. And true radiative heat transfer is one-stream warm-to-cold.

In short, the CO2 swindle is based on unphysical two-stream radiative heat transfer between the Earth surface and the atmosphere of size 300 W/m2 claimed to suggest a global warming alarm of 3 C, while the true net transfer is 10 times smaller about 30 W/m2, which can only suggest a harmless warming of 0.3 C.

There is much evidence that CO2 alarmism is scientific swindle, a basic element being the unphysical idea of two-stream radiative transfer connected to a mis-interpretation of the SBP law. To be ignorant of physics may be inconvenient but to make a mis-interpretation of a physical law believing it to be true physics can be very dangerous; for example believing that a one-way street is a two-way street can be lethal...and the more convinced you are the more dangerous...

It is the responsibility of physicists to gard that basic physics of radiative heat transfer is correctly described in the physics literature.  Apparently physicists today have other priorities (like string theory and multiversa) and so the mis-interpretation of the SBP law as a basis for CO2 alarm has been able to survive under the wings of physics, but now the time of reckoning is here...as evidenced by EPA...

Murry Salby is today a leading skeptic to CO2 alarmism, but the mis-conception of two-stream radiative heat transfer was present in his 1996 book Fundamentals of Atmospheric Physics as a result of mis-management of fundamental physics in modern times allowing violation of the 2nd law of thermodynamics as the cornerstone of classical physics.

PS1 Schwarzschild's two-stream model for radiative heat transfer takes the following form for a horisontal slab atmosphere, with vertical coordinate $x$ with $x=0$ at the Earth surface and $x=X$ at the top of the atmosphere, in terms of a gross upward heat flux $F^+(x)$ and a gross downward heat flux  $F^-(x)$ satisfying the following advection-absorption equations for $0\lt x\lt X$:
• $\frac{dF^+}{dx} + F^+ = Q$               (1)
• $-\frac{dF^-}{dx} + F^- = Q$               (2)
where $Q(x) =\sigma T(x)^4$ is supposed to express the SBP law with $T(x)$ the temperature at $x$ and $\sigma$ Stefan-Boltzmann's constant, and $x$ serves as an optical coordinate normalizing absorption. The atmosphere is supposed to be heated from below at $x=0$ by a heat source $H$, and the heat is radiatively transported to the top of the atmosphere from where it is radiated into outer space at 0 K. Conservation of heat energy gives the additional equation
• $F^+-F^- = H$,                                      (3)
from which follows by adding/subtracting (2) from (1) that $F^+ + F^-=2Q$ and $\frac{d(F^++F^-)}{dx}=-H$ and thus:
• $2Q(x) = H(X-x)+H$,                          (4)
• $F^+ =\frac{H}{2}(X-x)+H$
• $F^-=\frac{H}{2}(X-x)$
which determines the temperature profile $T(x)$. Schwarzschild's model resulting in linear $Q(x)$, is very simplistic. Only a model with $Q(x)$ constant could be more simplistic.

Schwarzschild's model (1-2) expresses conservation of upward and downward heat fluxes through a thin atmospheric layer radiating both upward and downward according to SBP in the form $Q(x) =\sigma T(x)^4$.

The model is unphysical because it is based on mis-interpretation of SBP and through the equation
$-\frac{dF^-}{dx} + F^- = Q$ introduces spurious absorption.

In a following post I will consider one-stream models for radiative transport based on real physics.

PS2 I have over the years had heated debates about back radiation and two-stream radiative with many people including Roy Spencer and Judy Curry and I have met the strong grip physics books, right or wrong, can have on peoples minds. Planck is primarily to be blamed because of his unphysical proof of the law of black body radiation using statistical arguments, which he himself did not believe in and was very unhappy with, but also secondarly all the leading physicists after Planck who uncritically have accepted what cannot be true physics.

I have many times met the reaction, when I express my view that two-stream radiative heat transfer to be unphysical, that people get upset and in anger block further communication. Thus the idea of two-stream radiative heat transfer has been protected from scrutiny allowing it to serve as a corner-stone of the "greenhouse effect" invented to serve CO2 global warming alarmism.

## söndag 16 april 2017

### Yes, anti-matter does anti-gravitate!

Sabine Hossenfelder asks in a recent post at Backreaction:
• Why doesn’t anti-matter anti-gravitate?
According to the gravitational model presented in my app NewMath: Darkenergy, anti-matter does anti-gravitate as a result of the gravitational law
• $\Delta\phi = \rho$
where $\phi (x,t)$ is gravitational potential and $\rho (x,t)$ mass density depending on a Euclidean space coordinate $x$ and $t$ is a time coordinate, where $\rho (x,t)$ can be both positive and negative, and positive $\rho (x,t)$ signifies presence of normal matter and negative $\rho (x,t)$ signifies presence of anti-matter, at $(x,t)$.

This model is explored under the following categories on this blog
Here is an output from as simulation with anti-matter (green) repelling normal matter (red) into expansion, as an explanation of the observed expansion of the universe.

Hopefully, you are now encouraged to download the app and test the model!

## måndag 20 mars 2017

### Climate Change Programmes: Waste of Money

The Independent and The Guardian reports:
• Donald Trump's budget director calls efforts to combat climate change "waste of money".
• The budget proposal calls for deep cuts across various federal agencies responsible for different climate change actions.
This means a historic shift from inhuman irrational political ideological extremism of CO2 climate change hysteria to science, rationality and humanity.

All the people of the world can now celebrate that there is more than enough fossil energy on this planet, which can safely be harvested and utilised under controllable environmental side effects, to allow virtually everybody to reach a good standard of living (under the right politics).

The industrial revolution was driven by coal and the boost of the standard of living during the 20th century in the West was made possible by the abundance of oil and gas.  Without CO2 hysteria this development can now be allowed to continue and bring more prosperity to the people, as is now happening on large scale in China and India.

Wasting money on actions without meaning and effect is about the most stupid thing a government can do and that will now be put to stop in the US as concerns energy production (if not on military...)

It remains for the EU to come to the same conclusion...and that will come even if the awakening will take some time...

PS Note the shift of terminology from "global warming by CO2" to the more neutral "climate change", motivated by the lack of warming in the "hiatus" of global temperatures during now 20 years. If "stopping climate change" was the issue, the prime concern would be to stop the upcoming ice age.  But that is not on the agenda, maybe because nobody believes that this is within the range of climate politics...the only thing that could have an effect would be massive burning of fossil fuel under the belief that it can cause some warming...

## söndag 19 mars 2017

### The World as Analog Computation?!

Augmented reality by digital simulation of analog reality.

Sabine Hossenfelder expresses on Backreaction:
• No, we probably don’t live in a computer simulation!
as a reaction to the Simulation Hypothesis:
Sabine starts her discussion with
• First, to get it out of the way, there’s a trivial way in which the simulation hypothesis is correct: You could just interpret the presently accepted theories to mean that our universe computes the laws of nature. Then it’s tautologically true that we live in a computer simulation. It’s also a meaningless statement.
And she gets support from Lubos Motl stating:
• Hossenfelder sensibly critical of our "simulated" world.
Is it then meaningless to view the World as the result of analog computation? I don't think so, with arguments presented at The World as Computation.

The main idea is that if the world is an analog computation, then it may well be possible to simulate the world by digital computation, and if that is possible we may perhaps better understand and control the world to our benefit.

And the other way: If the world is not analog computation, then chances for simulation by digital computation are slim, and then what?

Recall that the basic principle of classical rational deterministic physics is to view the evolution of the world as the result of sequential analog computation as transformations of inputs into outputs according to laws of physics. In short: The World as a Clock according to Laplace. Or more precisely, The World as a Clock of Infinite Precision, since the laws of physics are supposed to be satisfied exactly.

Sabine's standpoint is logical as an expression of the complete collapse of classical rational deterministic physics in the spirit of Laplace into the irrational quantum world of modern physics without determinism, for which the idea of input-output computation no longer is valid. The non-computational aspect of quantum physics comes out in the multi-dimensional form of Schrödinger's equation, which makes it impossible to solve by digital computation.

But the complete collapse of rationality/determinism in modern physics is a serious blow to physics as science and I have sought a way to avoid collapse by modifying Laplace's dictum into The World as a Clock of Finite Precision and by giving Schrödinger's equation an alternative three-dimensional form as realQM, both inviting to simulation by digital computation.

Sabine's post expresses the paralysis created by the Copenhagen Interpretation of quantum mechanics presenting a world which is not understandable and therefore not computable and therefore not understandable...a world view which we do not have to accept because there are alternatives to explore...

There is no evidence that we live in a computer simulation (because the world is not digital), but there is much evidence that an analog world can be simulated by digital computation, and that opens endless possibilities of enhancing the analog world by simulated worlds as augmented reality...

## torsdag 9 mars 2017

### Regeringen Beslutar om Programmering i Matematikämnet

Regeringen har idag beslutat om förtydliganden och förstärkningar i bland annat läroplaner, kursplaner och ämnesplaner för grundskolan och gymnasieskolan:
• Syftet är att tydliggöra skolans uppdrag att stärka elevernas digitala kompetens.
• Programmering införs som ett tydligt inslag i flera olika ämnen i grundskolan, framför allt i teknik och matematik.
• Ändringarna ska tillämpas senast från och med den 1 juli 2018. Huvudmännen kommer att kunna välja när de ska börja tillämpa ändringarna inom ett ettårigt tidsspann från och med den 1 juli 2017.
Nu återstår att fylla detta med konkret innehåll. Om det skall bli något annat än bara en tom åtbörd, fordras massiv vidareutbildning av särskilt lärare i matematik.

Mitt bidrag för detta ändamål finns i form av Matematik-IT.

Det finns starka konservativa krafter inom matematikutbildning från grundskola till universitet, som inte vill medverka till att bredda matematikämnet med programmering.

Det finns starka krafter inom datalogi att ta hand om programmeringen i skolan enligt en princip av "datalogiskt tänkande".

Matematikämnet står därmed inför det vägskäl som präglat hela mitt akademiska liv:
1. Förnya/utvidga traditionell analytisk matematik med programmering = Matematik-IT.
2. Bevara traditionell matematikutbildning och låt inte programmering störa bilden.
Regeringen har bestämt att 1. skall gälla, medan akademin lutar åt 2.  Vad är bäst för Sveriges elever? Digital kompetens med eller utan matematik? Matematik med eller utan programmering? Kampen går vidare...