Particle Physics

THE LIQUID STATE IN THE RECIPROCAL SYSTEM: THE VOLUME/PRESSURE RELATION, A CONTEMPORARY MATHEMATICAL TREATMENT, PART II

From thermodynamics,¹ the general equation of state of a pure substance is

$$\frac{\mathrm{d}V}{V}=\beta\mathrm{d}T-\kappa\mathrm{d}P\qquad(1)$$

where

$$\beta=\frac{1}{V}\left(\frac{\partial V}{\partial T}\right)_P=\ volume\ expansivity\qquad(2)$$

and

THE LIQUID STATE IN THE RECIPROCAL SYSTEM: THE VOLUME/TEMPERATURE RELATION, A CONTEMPORARY MATHEMATICAL TREATMENT, PART I

This paper provides a step-by-step procedure for the calculation of liquid specific volume as a function of composition and temperature, based on the Reciprocal System of D. B. Larson1.  In this theory, each individual molecule may be in the solid, liquid, or gaseous (or vapor) state, regardless of the state of the majority of molecules of the substance.

            First let's define some terms:

CALCULATION OF THE DISSOCIATION ENERGY OF DIATOMIC MOLECULES

This paper presents the first rational calculation of the dissociation energy of diatomic molecules.  Quantum mechanics does not have such a calculation, even in principle.  The importance of this calculation is that it provides additional quantitative verification of the molecular force and energy concepts of the Reciprocal System.

Dissociation energy is the change in energy (usually expressed in kcal per mole) at absolute zero temperature in the ideal gas state for the reaction

TIME REGION PARTICLE DYNAMICS

Mr. Larson has worked. out the static relations between particles in the time region; specifically, he has calculated the equilibrium interatomic distances for all the elements and many compounds (see pages 27-49 of The Structure of the Physlcal Universe). This paper will explore he dynamic relations between particles in the time region.

A NEW DERIVATION OF PLANCK’S CONSTANT

To present-day physical science the numerical value of Planck’s constant is a mystery: quantum mechanica does not have a theoretical method for its calculation. By contrast the Reciprocal System of theory derives the value of all physical constants, including Planck’s constant, from its fundamental postulates. However, because of errors in the previous derivations, this paper presents a new, dimensionally sound method for the calculation.

FURTHER MATHEMATICS OF THE RECIPROCAL SYSTEM

This paper will present in the most concrete, explicit manner the mathematics of space–time, radiation, and matter of the Reciprocal System.  Readers without special knowledge of the Reciprocal System are first urged to study Larson’s books, especially Nothing But Motion¹ before undertaking the study of this paper.

I.  Mathematics of Space–Time

A.   Rectangular Coordinates

THE EQUATION OF STATE OF SOLID MATTER

For many years scientists and engineers have had available an excellent equation of state for gaseous matter. Now, at last, the Reciprocal System of Dewey B. Larson is able to give us an exact equation of state for solid matter. This paper will present a unified treatment of the subject, with Reference 1 as the starting point.

I. Volume of Solid as a Function of Temperature with Pressure Constant

A NOTE ON THE COSMIC PROTON

The rotational displacements of the material proton (a single rotating system of a 2R photon) are 2-1-(1); the rotational displacements of the cosmic proton (a single rotating system of a ½ R photon) are (2)-(1)-1. Both protons can take a positive or negative charge (because both have the necessary space and time displacements).

IDENTIFICATION OF COSMIC PARTICLES 3695 MeV/C² AND MeV/C²

In November, 1974, two teams, one at the Brookhaven National Laboratory and the other at the Lawrence Livermore Laboratory, announced the discovery of a new particle with a mass equivalent to 3,105 MeV/c² of energy. The lifetime of this particle is about 10-20 second, considered by some to be a remarkably long lifetime for a particle of this heavy mass. This particle is named with the Greek letter, psi, and is referred to as a psi resonance.

International Society of  Unified Science
Reciprocal System Research Society

Salt Lake City, UT 84106
USA

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