New Finding From Historical Data on Elementary Electric Charge May Provide Path Toward Ultraviolet Completion in the Standard Model

Abstract In many early studies of the value of elementary electric charge (e), experimentalists identified what appeared to be substantial discrepancies among results. Some discrepancies were explained; some were not. This investigation provides evidence suggesting that some discrepancies among experimental findings for the value of e may have been the result of there being discrete, naturally occurring categories of zero-energy values for the constant. These categories appear to be distinguishable from one another by way of a specific, basic equation, showing for the first time, a fundamental mathematical link among seemingly disconnected and discrepant experimental results concerning the value of e. It is further shown that the same equation may help to identify a fundamental equation for the fine-structure constant (α), shed some light on the nature of the logarithmic singularity that emerges in some studies seeking an asymptotically safe Standard Model extension, and ultimately provide a roadmap for solving the Landau pole problem and achieving ultraviolet completion in the Standard Model.