Pure Derivation Of The Exact Fine-structure Constant As A Ratio Of Two Inexact Metric Constants
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Title: Pure Derivation of the Fine-Structure Constant as a Ratio of Two Inexact Metric ConstantsSummary:
In July 2000, theorists at the Strings Conference addressed the mysteries of 21st-century physics, selecting the ten most pressing unsolved problems. Top on the list, posed by David Gross and Edward Witten, were the calculability of dimensionless parameters and the origins of the universe via quantum gravity. This article explores these questions, focusing on the enigmatic fine-structure constant, alpha, a dimensionless number slightly over 1/137. Despite attempts by physicists and mystics, the exact value of alpha remains unexplained. This article proposes a calculation of alpha in terms of two inexact constants, h-bar and electric charge, despite the puzzling nature of these constants.
Keywords:
fine-structure constant, dimensionless physics, metric imprecision, empirical proof, fundamental constants
Article Body:
In 2000, the Strings Conference brought together theorists to discuss unresolved mysteries in physics. A prominent panel, including David Gross, Edward Witten, and Michael Duff, identified the top ten unsolved problems. The first two, posed by Gross and Witten, asked whether the universe’s dimensionless parameters are calculable and how quantum gravity might explain the universe's origins.
An article from that time captured the essence of these queries, pondering whether constants like the speed of light, Planck’s constant, and the electron's charge are arbitrary or rooted in hidden logic. Central to this is the fine-structure constant, alpha. Calculated as the square of the electron charge divided by the speed of light times reduced Planck’s constant (adjusted by vacuum permittivity), alpha's value confounds simplicity, hovering near 1/137 rather than exactly so.
This mystery held my attention, intertwined with my work on A.J. Meyers’s model. I had accepted the experimental determination of alpha until Gross’s question invigorated my curiosity. My attempts led me back to examining the 1998-2000 CODATA values, sparking a revelation: fine-structure mathematically quantizes the electromagnetic interaction between a photon and electric charge in a way akin to integers. This realization opened a path for calculating alpha precisely: by manipulating constants, I derived alpha's value to remarkable accuracy.
For years, the National Institute of Standards and Technology (NIST) based their measurements on experimental findings of h-bar and e. By the 1980s, novel methods like the quantum Hall effect provided direct measurements, verified by electron magnetic-moment anomalies. However, advances in these domains only slightly adjusted alpha's value.
In recent evaluations, a significant error was discovered in the quantum electrodynamics calculation for alpha, requiring adjustments. Regardless, discrepancies persisted in aligning current values of h-bar and e with expectations.
Moreover, mathematician James Gilson proposed a different alpha calculation, reflecting slight variance and raising questions about the model’s comprehensiveness. Nonetheless, the mathematical elegance of my derived solution stood firm, underscoring the idea that the universe's governing parameters fit within a coherent logic, offering potential to mathematically compute all six quark masses.
In answering Gross’s fundamental question, this exploration affirms that characteristic dimensionless parameters of our universe are indeed rooted in precise relationships between metrics, along with models such as the standard model, offering pathways to unraveling deeper truths of physics.
This derived methodology, a testament not to numerology but to empirical proof, speaks to the intrinsic order within our universe. Embracing such calculations can offer powerful insights into the unresolved enigma surrounding the universe's dimensionless constants.
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