William Kuchta
William Kuchta | |
|---|---|
| Residence | West Allis, WI, United States |
| Nationality | American |
| Known for | Axiom of Equivalence |
| Scientific career | |
| Fields | Math, Physics, Philosophy, Art |
William Kuchta is an American independent researcher based in West Allis, Wisconsin, whose self-published work spans mathematics, physics, philosophy, and art. He is known for proposing an "Axiom of Equivalence" through which he attempts to reformulate the foundations of mathematics and apply the result to problems in physics.
Biography
Kuchta is an independent, self-taught researcher rather than an academically affiliated scientist. He has disseminated his ideas primarily through his own website and through online essays and videos, presenting informal philosophical discussions intended to motivate more rigorous mathematical work.
Work
Kuchta's central proposal is an "Axiom of Equivalence," which he states as the claim that "the Excluded Middle and the Exclusive Middle are Equivalent." In his usage, two things are regarded as equivalent when they are quantitatively identical while remaining qualitatively different. From this axiom he derives mathematics in its ordinary form together with what he describes as a mirror-image or dual form of mathematics, and he treats the two structures as equivalent.
He applies these modeling methods to topics in physics, including quantum mechanics, wave–particle duality, and relativity, seeking to relate relativity and quantum mechanics through the proposed dual structure. In a December 2016 video essay titled "Continuity of Spacetime," he presented an informal discussion of whether spacetime is continuous or discrete, framing it as the philosophy motivating the more formal analysis he intended to publish.
These ideas are self-published and have not been established through peer review or independent replication.