Michel Febba

FALSIFIABILITY AND REPRODUCIBILITY. POPPER'S CRITERION AS A CRITERION OF ENGINEERING, NOT OF SCIENCE.

This preprint extends Calculation Is Only a Tool. It shows that the criteria proposed to define science in the twentieth century describe the functioning of engineering. Popper, Kuhn, Lakatos, Feyerabend, Laudan, Hacking. All sought a criterion of demarcation. None distinguished...

FALSIFIABILITY AND REPRODUCIBILITY. POPPER'S CRITERION AS A CRITERION OF ENGINEERING, NOT OF SCIENCE.

This preprint extends Calculation Is Only a Tool. It shows that the criteria proposed to define science in the twentieth century describe the functioning of engineering. Popper, Kuhn, Lakatos, Feyerabend, Laudan, Hacking. All sought a criterion of demarcation. None distinguished...

CALCULATION IS ONLY A TOOL. STRUCTURAL READING OF REALITY ACCORDING TO TRUE.

TRUE is a structural reading of reality. It posits that reality is alive, that nothing is inert, that everything is a configuration of relations. This preprint clarifies the distinction between calculation, which is an operational tool, and reading, which is primary. It shows tha...

EMERGENCE OF ARITHMETIC SIGNATURES IN DISCRETE NETWORKS UNDER CONSTRAINT REDISTRIBUTION. THE CASE OF FIBONACCI.

We study the redistribution of a charge injected at a point of a discrete network, with fixed conductances, local leakage, and a conservation rule. The equilibrium solution is computed in exact fractions, without eigenvalues, without continuous functions, without floating-point a...

THEORY OF UNIVERSAL EVOLUTIVE REDISTRIBUTION. UNIVERSAL EQUATION, GRAVITATION AND STRUCTURAL SIGNATURES.

We present a unified theoretical framework, called TRUE, based on a discrete universal equation describing the accumulation, saturation and redistribution of a local constraint on a network of coupled sites. The equation is unique, explicit, local, computable in exact fractions,...

EMERGENCE OF ARITHMETIC SIGNATURES IN DISCRETE NETWORKS UNDER CONSTRAINT REDISTRIBUTION. THE CASE OF FIBONACCI.

We study the redistribution of a charge injected at a point of a discrete network, with fixed conductances, local leakage, and a conservation rule. The equilibrium solution is computed in exact fractions, without eigenvalues, without continuous functions, without floating-point a...

THEORY OF UNIVERSAL EVOLUTIVE REDISTRIBUTION. UNIVERSAL EQUATION, GRAVITATION AND STRUCTURAL SIGNATURES.

We present a unified theoretical framework, called TRUE, based on a discrete universal equation describing the accumulation, saturation and redistribution of a local constraint on a network of coupled sites. The equation is unique, explicit, local, computable in exact fractions,...

DISCRETE ORIGIN OF MERCURY'S ANOMALY AND PLANETARY PRECESSIONS: TOPOLOGICAL DERIVATION OF CORRECTIVE COEFFICIENTS WITHIN THE TRUE FRAMEWORK

This text proposes a topological derivation of the corrective coefficients in the gravitational force equation within the TRUE framework. Continuous geometry is replaced by a discrete lattice of sites coupled by integer conductances. The anisotropy between equatorial and polar li...

DISCRETE ORIGIN OF MERCURY'S ANOMALY AND PLANETARY PRECESSIONS: TOPOLOGICAL DERIVATION OF CORRECTIVE COEFFICIENTS WITHIN THE TRUE FRAMEWORK

This text proposes a topological derivation of the corrective coefficients in the gravitational force equation within the TRUE framework. Continuous geometry is replaced by a discrete lattice of sites coupled by integer conductances. The anisotropy between equatorial and polar li...

PRACTICAL ELIMINATION OF IMAGINARY NUMBERS: SEVEN REPRODUCIBLE DISCRETE REPLACEMENTS

This preprint shows that imaginary numbers are not necessary to describe seven basic physical and mathematical phenomena. Each replacement uses only integers, finite fractions, and discrete operations. The reproducible code is provided in the appendix. The results are real and ve...

STRUCTURAL REORGANIZATION THROUGH REINJECTED LEAKAGE IN THE CONTEXTUAL REDISTRIBUTION OPERATOR

This document presents an extension of the contextual redistribution operator, denoted ORC. The ORC describes the local redistribution of a flux when a site saturates. The present extension treats the leakage of a site no longer as a loss, but as a transfer to another level. This...

STRUCTURAL REORGANIZATION THROUGH REINJECTED LEAKAGE IN THE CONTEXTUAL REDISTRIBUTION OPERATOR

This document presents an extension of the contextual redistribution operator, denoted ORC. The ORC describes the local redistribution of a flux when a site saturates. The present extension treats the leakage of a site no longer as a loss, but as a transfer to another level. This...

READING HEATWAVES THROUGH THE CONTEXTUAL REDISTRIBUTION OPERATOR

This document presents a reading of heatwaves based on the contextual redistribution operator, denoted ORC. The ORC is the successor to the former K dyn. It is not an adjusted exponential formula, but a local conservation rule. A meteorological station is treated as a node posses...

EVOLUTIONARY UNIVERSAL REDISTRIBUTIVE THEORY (TRUE) – SPECTRAL INVARIANT γ₀ = 0.13648 AND SCALING LAW FOR QUANTUM CRITICAL SYSTEMS

We present the consolidated and corrected version of the TRUE framework (Evolutionary Universal Redistributive Theory), which unifies the description of universal regularities observed in quantum critical systems outside the Fermi liquid paradigm. The fundamental invariant γ₀ = 0...

TRUE-COSMOLOGY III – CONFRONTATION WITH COSMIC DATA TRUE predictions for the CMB spectrum, the Hubble tension, and dark matter

Phases 1 and 2 established the formalism of the discrete spacetime lattice and derived the discrete Friedmann equations. The present publication confronts the TRUE predictions with available cosmological data. We derive the CMB spectral cutoff from the geometric projection of the...

TRUE-COSMOLOGY III – CONFRONTATION WITH COSMIC DATA TRUE predictions for the CMB spectrum, the Hubble tension, and dark matter

Phases 1 and 2 established the formalism of the discrete spacetime lattice and derived the discrete Friedmann equations. The present publication confronts the TRUE predictions with available cosmological data. We derive the CMB spectral cutoff from the geometric projection of the...