Recent Articles

Schrödinger’s Equation: Smoothed Particle Dynamics


Eigenfunctions of the Hamiltonian for Hydrogen with eigenvalues representing the sum of kinetic and potential energies, with Schrödinger’s equation as a smoothed version of the particle dynamics of a harmonic oscillator. This is continuation of the previous post How to Make Schrödinger’s Equation Physically Meaningful + Computable. Consider the basic case of the Hydrogen atom […]

Universal Quantum of Action: Standard Without Universality


Plank’s constant is in physics text books being presented as a universal quantum of action as a smallest “packet of action” as a fundamental constant of fundamental significance in the “quantized” world we happen to be part of, in fact is nothing but a conversion standard from two measures of energy, in terms of frequency […]

Quantum Mechanics as Digital Continuum Mechanics


Quantum mechanics was born in 1900 in Planck’s theoretical derivation of a modification of Rayleigh-Jeans law of blackbody radiation based on statistics of discrete “quanta of energy” of size , where is frequency and is Planck’s constant…continuation here  

Principle of Least Action vs Adam Smith’s Invisible Hand


   Violation of the PLA of the capitalistic system in 1929.  The Principle of Least Action (PLA) expressing Stationarity of the Action (the integral in time of the Lagrangian), with the Lagrangian the difference between kinetic and potential energies, is cherished by physicists as a deep truth about physics: Tell me the Lagrangian and I will […]

Lagrange’s Biggest Mistake: Principle of Least Action Unphysical


The reader will find no figures in this work. The methods which I set forth do not require either constructions or geometrical or mechanical reasonings: but only algebraic operations, subject to a regular and uniform rule of procedure. (Preface to Mécanique Analytique) The Principle of Least Action formulated by Lagrange in his monumental treatise Mecanique Analytique (1811) collecting 50 […]

Physics as Analog Computation instead of Physics as Observation


Bohr plotting the Copenhagen Interpretation of quantum mechanics together with Heisenberg and Pauli (left) and Bohr wondering what he did 30 years later (right). To view physics as a form of analog computation which can be simulated by digital computation offers resolutions of the following main unsolved problems of modern microscopic and classical macroscopic  physics: […]

Against Measurement Against Copenhagen: For Rationality and Reality by Computation


 John Bell’s Against Measurement is a direct attack onto the heart of quantum mechanics as expressed in the Copenhagen Interpretation according to Bohr: It is wrong to think that the task of physics is to find out how nature is. Physics concerns what we can say about nature… Bell poses the following questions: What exactly qualifies some physical systems to play […]

Mystery of Planck’s Constant Uncovered


Planck introduced Planck’s constant  in his proof of Planck’s law using statistics based on an ad hoc assumption that the “smallest packet of energy” or “quantum of action” of a wave of frequency is equal to . Later appeared in Schrödinger’s wave equation as a measure of the diameter of an atom. Planck’s constant thus has […]

Modern vs Classical World


Leibniz develops a solution of the mind-body problem arising from the dualism of Descartes as an analogy to the well known physical phenomenon of resonance between two pendula or tuning forks swinging in perfect harmony together:  Leibniz World is a world in such perfect harmony, and as such a Best of Worlds, with everything in […]