arXiv subjects

Wayne R. Lundberg

Publications and source records attributed to Wayne R. Lundberg.

3 recordsLinked to original sources

arXiv2002

Understanding Beth, the Particulate Mass Functional

A geometric relationship between loop quantum gravity and partitioned (triangulated) string theory is discussed. Combinatorial analysis reveals that three spatial and three curvature dimensions, intrinsic to the partitioned string, are necessary to replicate Standard Model particles and interactions. This analysis has established that particulate mass is determined by a functional relationship involving these six extra dimensions. The combinatorial analysis involves non-commutative 3D-matrix algebra which forms the mathematical underpinnings of Dirac notation. The functional relationship (symbolized by Beth) requires exponential, Randall-Sundrum, scaling to compute mass. Through the proper interpretation of complex gravity a cyclic cosmological model is developed. This formulation of cyclic cosmology inherently involves observed dark energy. Thus, a comprehensive theory is constructed from geometric fundamentals which models both massive, oscillating neutrinos and the current epoch of mini-inflation.

hep-th↗

arXiv2000

A Cyclic Universe without Missing Mass: Implications of R->alpha'/R

Results from string theory conclude that a spatial dimension R is equivalent to *'/R. If R is considered as a four-space dimension, several interesting results emerge. In this paradigm, *'/R exists in a time-reversed, "anti- parallel" universe. Cosmological distances in our real-time universe are equivalent to the compact dimensions at the instant of a Big Bang in a time- inverted universe. This model agrees with standard black hole theory in that particles become frozen in time when they reach the 'singularity' (of dimension alpha'). A particle which enters a black hole in real time exits from the Big Bang or "white hole" in the time-inverted universe, leaving behind a trace of annihilation radiation. A diagram of this phenomenon is constructed, consistent with existing knowledge of the early universe. The primordeal black holes predicted by Hawking are required. A cyclic universe is described by M^2\p,n + T^2\n = 1. The "missing mass" proscribed by standard closed- universe theories is not required. This result is useful if experimental evidence in the search for dark matter continues to leave a significant "missing mass" - and particularly in light of more recent observations indicating that, in fact, inflation continues at a much reduced rate.

astro-ph↗

arXiv1997

Topological Combinatorics of a Quantized String Gravitational Metric

A string-theoretic structure of the standard model is defined having a 4-D quantum gravity metric consistent with topological and algebraic first principles. Unique topological diagrams of string states, strong and weak interactions and quark families are evolved from this metric (but published separately). The theoretical structure includes known static and dynamic symmetries. A philosophical perspective on modern physics originates numerous opportunities for formal mathematical discussion.

physics.gen-ph↗