A Search for A Stochastic Archetype of Quantum Probability

Superposed wavefunctions in quantum mechanics lead to a squared amplitude that introduces interference into a probability density, which has long been a puzzle because interference between probability densities exists nowhere else in probability theory. In recent years, Man’ko and coauthors have successfully reconciled quantum and classic probability using a symplectic tomographic model. Nevertheless, there remains an unexplained coincidence in quantum mechanics, namely, that mathematically, the interference term in the squared amplitude of superposed wavefunctions gives the squared amplitude the form of a variance of a sum of correlated random variables, and we examine whether there could be an archetypical variable behind quantum probability that provides a mathematical foundation that observes both quantum and classic probability directly. The properties that would need to be satisfied for this to be the case are identified, and a generic hidden variable that satisfies them is found that would be present everywhere, transforming into a process-specific variable wherever a quantum process is active. Uncovering this variable confirms the possibility that it could be the stochastic archetype of quantum probability

The Now and the Universe

The present, at any particular moment, is the realization of one of the many intentions of the All-creating Intellect. Here "realization" specifically means the materialization or the appearance of an object in the material world, which had not existed until now. This newly born material object exists only for the duration of the moment of "now". This moment is infinitely short, or, if we use a concept from calculus, it is infinitesimal in duration. In my hypothesis, this new object is a product of a specific energy field of the All-creating Intellect. We call this particular energy field Time.

Considerations of A Two-Fluid Heliospheric Plasma Dynamics Under Dominant Electron Pressure

Electrons in plasma physics mostly are the underestimated species, since usually they only have to guarantee electric quasineutrality, but don’t count in terms of mass-, momentum-, and energy flows. This is different in space plasmas like the heliospheric plasma, especially the plasma downstream of the solar wind termination shock. Here it has become evident more recently that electrons dominate the plasma pressure and, connected with that, the plasma energy flow. Under these conditions a two-fluid plasma theory is needed to adequately describe fields and flows. We first here develop a pure two-fluid thermodynamics of such two-fluid plasmas and then study the actual situation in case of the heliospheric plasma that the electron pressure is dominating over the proton pressure. Under such auspices the electron pressure determines the mass- and momentum flows of the plasma and in fact decreases with the decrease of bulk velocity of the flow

Absolute Geometry: From Basics to the π-rule of the Ф-invariant Physics

This is to clarify in more detail some basic aspects of absolute geometry and discuss what is the π-rule in physics unified by the universal Ф-invariance

On The Mechanism of the Formation of Atoms

The mechanism of the formation of atoms from neutrons, which decay in the process of gravitational attraction, is considered. Through the mechanism of the formation of atoms, the reason is shown why the neutrons of the nucleus do not decay, and the electrons do not fall on the nucleus. Using the deuteron as an example, it is shown what is the reason for the stability of the nucleus and why the neutron contained in the nucleus does not decay

Raman Activity of HS-(CH2 ) –NH-Coumarin Molecule Adsorbed on the Surface of Gold Nanostructures with various Morphologies

Synthesis of gold nanowires with an average diameter of 10 nm and length of up to 20 µm was achieved through a three-step heterogeneous nucleation process. Gold nanowires were formed through coalescence of spherical nanocrystals leading to grain growth and subsequently uneven nanowires. Furthermore, the uneven gold nanowires experienced thinning driven by thermodynamics to form relatively even nanowires with smaller diameters. Gold nanowires showed enhanced Raman activity in respect to enhancement factor than respective spherical gold nanoparticles with average particle sizes of 14 nm, 30 nm and 40 nm. The better Raman activity of gold nanowires with respect to spherical morphology was attributed to how they adsorb Raman active molecules, which are surface adsorption and network entanglement.

Improvement Measures for Components of Dielectric Elastomers for Heavy Duty Uses Such as Robots and Power Assist Devices

Dielectric Elastomers (DE) are currently being rapidly researched and developed all over the world as a technology that has begun to be incorporated at a practical level. As a product, game vibrators using DEs are already on the market in the United States and Europe. However, much of the market demand is dominated by more output-focused applications such as DE power suits, DE motors, DE muscles for robots, and larger DE power systems. Attempts have been made to improve elastomers and use new carbon foam materials such as single-walled carbon nano tubes (SWCNTs) and multi-walled carbon nano tubes (MWCNTs) as electrodes for DEs to meet these demands. This paper discusses these issues. Also, by reversing the movement of the DE, it is possible to generate electricity with high efficiency. By attaching the power generation system to the robot, which generates electricity from the movement of the robot, and charges the robot’s battery of the robot, it becomes possible to move the robot more efficiently. This is also discussed in this paper

The Holy Trinity of Geometry: Beauty, Virtue & Truth

The virtue of absolute geometry is its accessibility to the ordinary human mind coupled with certain degree of intuition which is kind of connectedness of the human brain to the universal logico-mathematical machinery. In the end all the problem of existence reduces to the elementary operations within the continuum of natural numbers. Nontriviality and consistence of the system make the beauty of geometry. Geometry’s last truths prove to be written in beautiful and mnemonical aphorisms

Structure Formation After the Era of Cosmic Matter Recombination

In an aforegoing paper (Fahr and Heyl, 2021) we have studied in physical details the event of cosmic matter recombination expected at about 400000 years after the Big Bang at cosmic photon redshifts of about zr =1000. It turned out there, that photons taken as surely cooling by permanent increase of their cosmic redshifts, while electrons and protons partly are cooled by Thomson scatter processes with photons, but partly are heated due to the Hubble expansion of the universe. It can be shown, however, that in this cosmic epoch the cooling of electrons and protons is much more effective than the heating, and that a recombination of cosmic matter to neutral H-atoms thus is unavoidable. We then show, however, that the neutral gas atoms do not couple anymore to the cosmic CMB photon field, but instead are subject only to the Hubble migration in velocity space and thus become heated again. The question then poses itself, how cosmic structure formation in a gas with decreasing density and increasing temperature should have been able to take place. Where did the galaxies and clusters of galaxies come from? Looking into the unstable, self-gravitating acoustic oscillation modes we find the answer at what cosmic times which magnitudes of self gravitating critical masses can have been produced that could have sustained till the present times.

Quantum Zeno Jumps in a Resonantly Driven Qubit under Frequent Measurements

In Nature, 570, 200 (2019), Minev and co-authors’ experiment shows how to deterministically “catch and reverse a quantum jump mid-flight” in a continuously-observed Rabi-stimulated qubit. Its interpretation is in debate (La Recherche, 555, 40, (2020)). We show that the quantum Zeno effect (QZE) of continuous measurement —by use of photon emission from a 3rd high-rate monitored ancilla level— can be described by an action-angle canonical transformation of the original Hamiltonian dynamical system (HDS) theory of QZE. Then energy whose mean value yields the well-known resonant Rabi harmonic dynamics is actually defined by large-amplitude high-frequency oscillations of the internal as well as of the overall phase of the two-level system. By making use of their standard deviation, we show that the separatrix crossing of the HDS trajectory yields the quantized action nh where n = 1, 2, 3 .... Therefore, the jump dynamics observed in Minev et al. experiment belongs to a series of discrete quantum jumps: it corresponds in this experiment to n = 3.