Showing results for: "equation" (11 results)
This article makes those steps explicit. I describe a repeatable cognitive pipeline I call Stained-Glass Thinking, which I have used consistently throughout the development of Relational Field Theory (RFT).
In many areas of physics, the word “singularity” implies the breakdown of equations — an undefined point where the mathematics “fails” or where physical laws suddenly stop working. But this interpretation has always felt philosophically unsatisfying. Why should nature permit a point where its own rules dissolve?
Relational Dominance: A Testable Structural Hypothesis for Navier–Stokes Turbulence
Modern physics often assumes that the complexity we observe in the universe reflects an underlying complexity in its fundamental structure. Fields, particles, forces, and geometries are typically introduced as independent components, each carrying its own degrees of freedom.
Mathematics is often described as the universal language of the universe, a field that transcends cultures and eras to provide the tools for understanding the world. From the ancient geometries of Egypt to modern computational algorithms, mathematics is at the heart of human discovery and technological progress.
Physical quantities and laws emerge from the geometry, coherence, and flow of relational fields. A central idea is relational closure: high-coherence domains form effectively closed regions where stable invariants can persist.
A low-energy dynamical approach could give companion AI the gift of long-term relational memory - especially valuable for eldercare.
With the potential of AI tools revolutionizing the world of healthcare, there are ethical risk factors that need to be looked at before their implementation.
We begin with things - particles, fields, forces - and then build laws and equations to explain how those things behave. This approach has been extraordinarily successful. It is how we arrived at quantum mechanics, general relativity, and the Standard Model.
Science writing simplifies complex research, making scientific discoveries accessible, trustworthy, and relevant to the public while reducing misinformation.
What allows anything stable to exist at all? Before objects, laws, or equations can be described, something more basic must occur: something must persist long enough to be identified. This shifts the focus from what exists to the conditions under which anything can exist stably.
