When philosophy was science

I often say that, in past centuries, those who practiced science were also philosophers. Mathematics, physics, medicine and law—just to name a few—invited reflection on the foundations of conscious life. My philosophical practice, pursued alongside my professional activities, recently led me to dust off my engineering background and tackle—with equations—a mathematical and a physics topic that had been haunting my thoughts for some time. I enjoyed it so much that I decided to take a short break from Pointfulness... to return refreshed.

If pi is an irrational number, with infinite non-repeating decimals, how can a circle ever be truly closed? I answered this question by shifting the paradigm: irrational pi is a universal approximation of the ratio between a circle’s circumference and its diameter (C/D), which is always a rational number in a discrete (observable) space. Strictly speaking, pi belongs to the continuous or Euclidean space—but it plays the role of a “useful smuggler” in physical reality. From this research, I deduced—and demonstrated—that the physical world is discrete (a core dilemma of cosmology), and that a geometric collapse occurs from continuous space to observable space based on simple rules: such as the need for a central point in a diameter, or for an even number of points in a circumference to maintain symmetry.

Why can’t we explain the gravitational constant G—or gravity itself? My answer: the universe has another constant—its own density, or the specific volume of mass. Local conformal transformations of spatial reference axes create geometric wells or bumps that explain the motion of objects along paths of least resistance. It may sound complex, but it’s actually quite simple—and elegant. With this model—DCUU (Uniform Constant Density of the Universe)—there is no need for dark matter, dark energy, or singularities in black holes. There is still much work ahead for real physicists, but the early simulations are surprisingly convincing.

If you're curious, you can find some of my work on www.zenodo.org by searching Alain Kaczorowski. After these scientific digressions, I’ll soon return to philosophy... or is this perhaps philosophy as well? 🙂