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John L. Haller Jr

Publications and source records attributed to John L. Haller Jr.

3 recordsLinked to original sources

Information Mechanics

A unifying theory is put forward that entropy is equal to action. The crowning derivation is based on information theoretic methods and uses our hypothesis that "particles move via the discrete Bernoulli Process." While this hypothesis matches special relativity for the mean value of a particle's location, the variance appears to open the possibility of new physics. Specifically, the variance is dependent on the square of the particle's velocity and since no reference frame is given, we ask if this velocity is absolute and measurable. To answer this question, we conducted an experiment to measure the jitter on a clock and found a combined 26 sigma three-spike signal in the Fourier Transform of the jitter's magnitude. These spikes are predicted by the hypothesis since the laboratory's velocity fluctuates due to the Earth revolving and rotating as the solar system moves through the Universe. When analyzing the phase and magnitude, the data suggests the velocity of the laboratory is a validation of the Planck collaboration which measured the same velocity of Earth in the Cosmic Microwave Background reference frame. Lastly, a second experiment is underway to ratify these findings.

physics.gen-ph↗

The Entropy Rate of Thermal Diffusion

The thermal diffusion of a free particle is a random process and generates entropy at a rate equal to twice the particle temperature in natural units of information per second. The rate is calculated using a Gaussian process with a variance as a combination of quantum and classical diffusion. The solution to the diffusion of a free particle is derived from the equation for kinetic energy and its associated imaginary diffusion constant and a real diffusion constant representing classical diffusion. We find the entropy of the initial state is one natural unit, which is the same amount of entropy the process generates after the de-coherence time, hbar over twice the temperature.

math.PR↗

Using probability and rules of interaction to simulate the spin relaxation in a MRI

A computer code is written that simulates the relaxation back to thermal equilibrium of an ensemble of particles after a pi/2 pulse. Beginning with Bloch's equations the exponential relaxation behavior is discussed and the transition into a step by step process (from the continuous process) is made such that it is possible for the computer code to simulate the action. An analysis of Boltzmann's factor is offered and serves as the link between the temperature of the ensemble and the parameter that is used to determine if a spin is in the up state or the down state. The specifics of the code are discussed and the spins are shown to follow the rules of interaction governed by the physical collisions that can take place. Lastly, graphs of the simulation are provided and a discussion of its usefulness is given.

physics.med-ph↗