An Ontological Alternative to IEEE 754: Formalizing Mathematical Persistence in Boundary Singularities

The current computational paradigm rests upon an ontological lie. Every day, we entrust complex calculations, financial decisions, and artificial intelligences to processors that attempt to manage infinite mathematical precision by mutilating it into finite bit-strings. Under the rigid and historical IEEE 754 standard, numbers are stripped of their true nature and forced into binary registers, generating unavoidable quantization errors and systematic bottlenecks. In this revolutionary and provocative treatise, the "Free Float" (Virgola Libera) architecture is presented for the very first time: a radical hardware paradigm wherein numerical values are no longer "processed" through iterative calculations, but instantaneously "recognized" as atomic, indivisible entities endowed with their own original and permanent mathematical identity. What you will discover in this text: - The end of approximation: How Free Float hardware preserves data integrity as an inviolable physical constant of the silicon substrate.- The resolution of division by zero: A radical mathematical formalization that transforms the ultimate fatal exception into a native hardware identity accelerator ( N: 0 ≡ N )).- The Zero-Inertia architecture: The physical elimination of exception-handling units and the absolute ALU Bypass, pushing computational throughput to the physical speed of light.- The sovereignty of the Mathematical Entity: An escape route from volatile, transient storage constraints to restore dignity and absolute ontological independence to data. An indispensable work for hardware engineers, philosophers of science, programmers, and visionaries who want to look beyond the limits of Von Neumann architecture and discover the future of computing. Official scientific monograph registered, archived, and logically revised. Open Science reference in the international Zenodo repository under DOI: 10.5281/zenodo.20095234.