Altering the base of mathematics: do we have the courage?

The world, as we perceive it, is deeply entwined with logic and guided by the foundational principles of mathematics. However, the mathematics we have come to embrace might not be the comprehensive framework that accurately reflects the complexities of the universe.

At its inception, mathematics emerged at an early and rudimentary stage of human understanding. The environment's consciousness was limited, and the concept of time held a peripheral role. In this nascent stage, we unknowingly veered off course, constructing the edifice of all known sciences on what can now be recognized as faulty or incomplete mathematical formulas. This departure from precision has given rise to what we commonly label as destiny—a term conveniently employed to encompass a wide spectrum of errors.

The genesis of mathematics coincided with a period in which humans were largely indifferent to the dimensions of time and energy. These variables were deemed inconsequential at that juncture. However, the foundational calculus upon which we rely today is antiquated, and yet, we persist in imposing its limitations on the construction and justification of systems that are inherently flawed or weak.

Scientific disciplines evolve with the passage of time, adapting to new insights and paradigms. However, mathematics has remained relatively stagnant. The reason for this inertia lies in the foundational role it plays in all our intellectual constructions. Altering the base of mathematics risks compromising the stability of the entire intellectual structure that rests upon it.

The question that looms before us is whether we possess the courage to critique this "holy" science. Are we willing to challenge the universe with more robust logic and methodologies? In a daring experiment, I subjected one of the simplest formulas ever conceived, the elementary 1+1=2, to scrutiny. The results were nothing short of staggering, unveiling a profound revelation: this seemingly fundamental rule is, in fact, a snapshot of a universe with an infinite array of outcomes. The key variables in this equation? Time, measured in nanoseconds, and energy, quantified in electronvolts. These dimensions introduce a multitude of possibilities, shattering the conventional notion of a fixed result for the simple equation 1+1.

Source :

Abstract of my PhD thesis on "Unconventional Mathematics: A Catalyst for Collective and Distributed Intelligence".