Updated: 10/25/2019

This website presents recent research from projects that examine alternate views of two different inter-disciplinary fields:
the FRACEP Project and the RABMEC Project.

Following these projects, is a bibliography and a collection of some other previously published research.

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**PROJECT 1 - FRACTAL RINGS and COMPOSITE ELEMENTARY PARTICLES (FRACEP) MODEL**

FRACEP develops an alternate view (beyond the Standard Model of Particle Physics) of the most elementary building blocks of matter in the Universe. It presents a new composite substructure for the elementary particles such as the electron and quarks which is based on the assumption of the existence of negative mass. FRACEP also develops a unified potential that describes positive-positive mass, positive-negative mass and negative-negative mass interactions at mass scales from the largest masses to the sub-quantum fundamental masses.

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**Fractal Rings and Composite Elementary Particles (FRACEP): A Picture of Composite Standard Model Fundamental Particles**
(pdf file)

This paper is published on ResearchGate (2018, 315496365). It was presented at the American Physical Society - Division of Particles and Fields in Salt Lake City, UT (4/18/2016), The Bulletin of the American Physical Society Vol. 61, No. 6, Session T1.031. It presents a conceptual model of composite Standard Model leptons, quarks and gauge bosons and their field mechanisms based on only two fundamental particles. It also considers the possibility of this model providing an explanation of dark matter and dark energy. (html version)

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**Fractal Composite Quarks and Leptons with Positive and Negative Mass Components ** (pdf file)

This paper was published in the International Journal of Modern Theoretical Physics, 8(1) (2019) 41-63. The object of this work was to study the feasibility of identifying a minimum set of fundamental particles that could be used to build up composite versions of the Standard Model quarks, leptons and bosons that exhibit the same properties and behavior as the observations. The result is a fractal-based heuristic model that has only two fundamental particles (with equal and opposite mass).The fractal-like configurations of the multi-tiered substructure for the quarks and leptons demonstrated a dual universe – one based on mostly positive mass (the universe we see) and the other based on mostly negative mass (potentially a contributor to the cosmic dark matter universe we see evidence of without direct observation).

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**Feasibility of Constructing a Unified Positive and Negative Mass Potential ** (pdf file)

This paper was published in the International Journal of Modern Theoretical Physics, 8(1) (2019) 1-16. This work proposes the (less than conventional, but not totally new) idea of negative mass as one possible contributor to the solution of the cosmic puzzle of dark matter and energy. We empirically construct a unified potential valid from the macro-gravity scales through the quantum scales that is non-symmetric between positive mass and negative mass particles. We consider the possibility that the Newtonian potential could be a first-order approximation to a sine function - demonstrating an oscillatory behavior transition between the macro and quantum scales. The positive mass characterization is discussed here.

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**Unified All-scale Potential for Positive and Negative Mass: Negative Mass Behavior ** (PDF file)

(Manuscript in review - 10/16/19) This work presents the negative mass behavior of the FRACEP unified potential - extending the analysis begun in the "Feasibility of Constructing a Unified Positive and Negative Mass Potential" paper. It demonstrates the repulsive behavior between positive masses and negative masses. Unlike the positive mass source which is totally real, the negative mass source has a complex potential with both real and imaginary parts.

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**THE UNIFIED FRACEP POTENTIAL: For Positive and Negative Mass Sources at All Scales Part c: the fundamental scale (update 10/28/19) ** (PDF file)

(Draft) This paper is published on ResearchGate (2019). This work focuses on the fundamental scales behavior of the FRACEP unified potential - extending the analysis begun in the "Feasibility of Constructing a Unified Positive and Negative Mass Potential" paper. It considers both the positive mass behavior and the negative mass behavior.

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**A Brief Survey of the Standard Model of Particle Physics: the Database for FRACEP ** (PDF file)

This paper is published on ResearchGate (2019, 335967319). The focus of this work is to present the observations used to establish FRACEP, that is, a description of the fundamental particles of the SM database. The FRACEP Model developed a description of a set of composite fermions and bosons with internal components that are consistent with the observed characteristics of the SM particles using the SM as its database. To fully appreciate the motivation for a changing view of the fundamental world, it also presents a survey of the evolution of ideas on the fundamental nature of matter over time.

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**FRACTAL RINGS and COMPOSITE ELEMENTARY PARTICLES (FRACEP) MODEL** (html file)

Book Version 2, 2016.

This book examines the concept of fundamental particles (the smallest pieces of matter that make up all of the matter in the universe. As presented
by the Standard Model of particle physics, particles known as fermions and bosons are considered fundamental. This book discusses why the
fermions and bosons could be considered compound rather than fundamental. It develops a description of a minimum set of truly
fundamental particles that are combined to form compound versions of the Standard Model fundamental fermions and bosons. The new compound versions of the fermions and bosons match the Standard Model descriptions in mass, spin, electromagnetic charge and decay characteristics.

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**PROJECT 2 - REVISED ANCIENT BIBLICAL AND MID-EAST CHRONOLOGY (RABMEC) **

RABMEC presents an alternate approach to determining the timing of ancient mid-east events using mathematical Kinematic Relativity, comparative mythology and other available scientific observations. It begins with the calibration of the biblical Days of Creation in BCE years, considers the dating of the legendary Egyptian beginning of the world (the Anno Mundi Event), and then proceeds to consider the dating of other biblical and mid-east ancient kings and events.

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**Dual-Time Concept and Mythology Illuminate Intersection of Science and Religion ** (PDF file)

This paper was published in the International Journal of Modern Social Sciences, 2019, 8(1): 42-62. Ancient stories, particularly those with religious ties, are often designated as mythology with no scientific credibility. The purpose of this paper is to show that Genesis likely has its roots in valid science but the time expressed, relative to the scientific record is non-linear. It provides a mathematical BCE calibration for the creation Days based on Kinematic Relativity, demonstrating that science and Genesis can be seen as totally consistent – differing only in the method of expressing their dates.

This paper is published on ResearchGate (2019, 332869101). Every ancient civilization has its tales of the beginning (mostly accepted as "only mythology"). This work compares the origin stories of five ancient eastern civilizations to identify a possible common kernel to their myths. It considers multiple aspects of the cultures to provide a broader picture of the people in the region as a way of identifying possible commonality in their origin myths. The paper goes on to hypothesize a synthesized common original tradition of the beginning.

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**THE REVISED ANCIENT BIBLICAL and MID-EAST CHRONOLOGY (RABMEC) TIMELINE** (html file)

Book Version 1, 2012.

This book views the misty and obscure times of the ancient past. It re-examines the traditional timeline of that period, and
refines the dates of the historical Egyptian and the Sumerian/Babylonian king lines. By looking at the relative timing of
biblical events in a different way, it provides new dates for the Exodus, the biblical Noah Flood and the Babylonian
exile. It provides dating for the otherwise un-datable mythological kings of the Egyptian king line, and for the Egyptian
beginning of the world (the Anno Mundi event) that have not been dated previously. Finally, it shows physical evidence
that support the new dates of the biblical Noah Flood and the Anno Mundi event.

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**BIBLIOGRAPHY and OTHER WORK **

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**Publications (pdf file) **

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**Abstracts (pdf file) **

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**The Second Painleve Transcendent and Nonlinear Optical Propagation (PDF file)**

This paper was presented at the APL Symposium on Research and Development, Johns Hopkins University/Applied Physics Laboratory, Laurel, MD, November 1991. It presents a new transformation for the complex amplitude of propagating electric fields in optical materials. It shows a family of exact non-stationary solutions to the 1+1 and 1+2 dimensional nonlinear Schrodinger equations in the form of a second Painleve transcendent.

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**The Role of the Second Painleve Transcendent in Nonlinear Optics (PDF file)**

This paper was published in Physics Letters A, Vol. 141, Issue 8-9, 417-419, DOI: 10.1016/0375-9601(89)90860-8, 1987. It presents a transformation of the complex amplitude of the propagating electric fields in an optical fiber that shows a family of exact non-stationary solutions to the nonlinear Schrodinger equation. These solutions take the form of the second Painleve transcendent. In the case of normal group velocity dispersion (dark solitons), bounded solutions exist only over a finite range of the ratio of the nonlinearity to dispersion. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/license/by-nc-nd/4.0/.