Scale invariance
View article: Expansional Field Theory: Structural Derivation of the Low-Acceleration Law a_eff=√(a_0 a_N )
Expansional Field Theory: Structural Derivation of the Low-Acceleration Law a_eff=√(a_0 a_N ) Open
Updated version:This revision corrects the derivation presented in Section 5.2.The exponent p=1/2 is now obtained from the requirement of asymptotically flat rotation curves in the deep-acceleration regime, rather than from the Newtonian l…
View article: The Impossibility of a Perfect Midpoint in the Continuum_ Asymmetry as the Fundamental Law of Existence
The Impossibility of a Perfect Midpoint in the Continuum_ Asymmetry as the Fundamental Law of Existence Open
We formalise, in a Lemma--Theorem--Corollary framework, the insight that perfect symmetry between $0$ and $\infty$ is \emph{mathematically unstable} in any scale--invariant setting. When the half--line $(0,\infty)$ is interpreted as the sp…
View article: Expansional Field Theory: Structural Derivation of the Low-Acceleration Law a_eff=√(a_0 a_N )
Expansional Field Theory: Structural Derivation of the Low-Acceleration Law a_eff=√(a_0 a_N ) Open
Updated version:This revision corrects the derivation presented in Section 5.2.The exponent p=1/2 is now obtained from the requirement of asymptotically flat rotation curves in the deep-acceleration regime, rather than from the Newtonian l…
View article: The Impossibility of a Perfect Midpoint in the Continuum_ Asymmetry as the Fundamental Law of Existence
The Impossibility of a Perfect Midpoint in the Continuum_ Asymmetry as the Fundamental Law of Existence Open
We formalise, in a Lemma--Theorem--Corollary framework, the insight that perfect symmetry between $0$ and $\infty$ is \emph{mathematically unstable} in any scale--invariant setting. When the half--line $(0,\infty)$ is interpreted as the sp…
View article: The P-Scale Concordance: Detecting the Pure Number Substrate Through Synchronized Multi-Scale Consciousness Signatures
The P-Scale Concordance: Detecting the Pure Number Substrate Through Synchronized Multi-Scale Consciousness Signatures Open
We propose a definitive experimental protocol to detect the pure number substrateP governing reality by measuring its synchronous manifestations across quantum, bi-ological, and cosmic scales. Building upon the Inter-Scale Consciousness fr…
View article: Quantum-Gravitational Scaling Rhythm: A Unified Framework for Transitions from Quantum to Gravitational Regimes via Photon Confinement and Vacuum Discharges
Quantum-Gravitational Scaling Rhythm: A Unified Framework for Transitions from Quantum to Gravitational Regimes via Photon Confinement and Vacuum Discharges Open
Quantum-Gravitational Scaling Rhythm (QGSR) presents a unified geometric framework linking quantum field theory and general relativity through the mechanisms of photon confinement and vacuum discharges. The model interprets the emergence o…
View article: The P-Scale Concordance: Detecting the Pure Number Substrate Through Synchronized Multi-Scale Consciousness Signatures
The P-Scale Concordance: Detecting the Pure Number Substrate Through Synchronized Multi-Scale Consciousness Signatures Open
We propose a definitive experimental protocol to detect the pure number substrateP governing reality by measuring its synchronous manifestations across quantum, bi-ological, and cosmic scales. Building upon the Inter-Scale Consciousness fr…
View article: Quantum-Gravitational Scaling Rhythm: A Unified Framework for Transitions from Quantum to Gravitational Regimes via Photon Confinement and Vacuum Discharges
Quantum-Gravitational Scaling Rhythm: A Unified Framework for Transitions from Quantum to Gravitational Regimes via Photon Confinement and Vacuum Discharges Open
Quantum-Gravitational Scaling Rhythm (QGSR) presents a unified geometric framework linking quantum field theory and general relativity through the mechanisms of photon confinement and vacuum discharges. The model interprets the emergence o…
View article: A Structural RTLI Derivation of the Lightest Neutrino Mass
A Structural RTLI Derivation of the Lightest Neutrino Mass Open
We show that the absolute neutrino mass scale m_1 can be derived from first principles within the Relational Thermodynamic Layered Index (RTLI) framework. The derivation uses only the corridor base energy E_{\mathrm{corridor}} \simeq 0.25\…
View article: A Structural RTLI Derivation of the Lightest Neutrino Mass
A Structural RTLI Derivation of the Lightest Neutrino Mass Open
We show that the absolute neutrino mass scale m_1 can be derived from first principles within the Relational Thermodynamic Layered Index (RTLI) framework. The derivation uses only the corridor base energy E_{\mathrm{corridor}} \simeq 0.25\…
View article: Reanalyzing DESI DR1: 3. Constraints on Inflation from Galaxy Power Spectra & Bispectra
Reanalyzing DESI DR1: 3. Constraints on Inflation from Galaxy Power Spectra & Bispectra Open
Models of cosmic inflation generically predict a weak but potentially detectable amount of primordial non-Gaussianity (PNG), which can be used to obtain insights into the degrees of freedom during inflation and their interactions. The simp…
View article: Reanalyzing DESI DR1: 3. Constraints on Inflation from Galaxy Power Spectra & Bispectra
Reanalyzing DESI DR1: 3. Constraints on Inflation from Galaxy Power Spectra & Bispectra Open
Models of cosmic inflation generically predict a weak but potentially detectable amount of primordial non-Gaussianity (PNG), which can be used to obtain insights into the degrees of freedom during inflation and their interactions. The simp…
View article: Planck's Constant Derived from the Principle of Unified Cosmodynamics
Planck's Constant Derived from the Principle of Unified Cosmodynamics Open
This work proposes that Planck’s constant (hh) is not an independent fundamental quantity but a derived parameter determined by the invariance condition of the Principle of Unified Cosmodynamics (PUC). The PUC invariant links the expansion…
View article: Planck's Constant Derived from the Principle of Unified Cosmodynamics
Planck's Constant Derived from the Principle of Unified Cosmodynamics Open
This work proposes that Planck’s constant (hh) is not an independent fundamental quantity but a derived parameter determined by the invariance condition of the Principle of Unified Cosmodynamics (PUC). The PUC invariant links the expansion…
View article: Five-Dimensional Holographic Model for Dark Matter as Archival Degrees of Freedom
Five-Dimensional Holographic Model for Dark Matter as Archival Degrees of Freedom Open
We propose a five-dimensional toy model that qualitatively unifies two inde-pendent ideas: (1) the holographic emergence of three spatial dimensions via asuppression parameter ε(N ) ∼ 10−70, and (2) the archival hypothesis for darkmatter a…
View article: ∆Chaos→Logic Framework - The Chaos Paradox: Emergence of Spacetime through Cantor's Set Theory, Fractal Scaling and Kakeya Constraints with de Moivre transition
∆Chaos→Logic Framework - The Chaos Paradox: Emergence of Spacetime through Cantor's Set Theory, Fractal Scaling and Kakeya Constraints with de Moivre transition Open
2025-12-01 (~16:00) another great work on Kakeya stability around our (ρ > 0.85) by Silouanos Brazitikos, Dimitris-Marios Liakopoulos on arxiv https://arxiv.org/abs/2511.18602 2025-12-01 (~12:00) *On this series of working papers, composed…
View article: Five-Dimensional Holographic Model for Dark Matter as Archival Degrees of Freedom
Five-Dimensional Holographic Model for Dark Matter as Archival Degrees of Freedom Open
We propose a five-dimensional toy model that qualitatively unifies two inde-pendent ideas: (1) the holographic emergence of three spatial dimensions via asuppression parameter ε(N ) ∼ 10−70, and (2) the archival hypothesis for darkmatter a…
View article: Microscopic Derivation of the Symbolic Entropic Framework
Microscopic Derivation of the Symbolic Entropic Framework Open
This technical companion paper provides the microphysical foundations for the "Symbolic-Entropic" cosmological framework. Using a causal short-memory coarse-graining of a UV sector on the closed-time-path (CTP), we derive the symbolic–entr…
View article: Microscopic Derivation of the Symbolic Entropic Framework
Microscopic Derivation of the Symbolic Entropic Framework Open
This technical companion paper provides the microphysical foundations for the "Symbolic-Entropic" cosmological framework. Using a causal short-memory coarse-graining of a UV sector on the closed-time-path (CTP), we derive the symbolic–entr…
View article: Measurement Properties and Cross-Cultural Invariance of the French Decisional Conflict Scale in Chronic Pain: Secondary Analysis of the DECIDE-PAIN Survey
Measurement Properties and Cross-Cultural Invariance of the French Decisional Conflict Scale in Chronic Pain: Secondary Analysis of the DECIDE-PAIN Survey Open
View article: A Geometric Invariant for 3D Shannon--Nyquist Measurement Geometry
A Geometric Invariant for 3D Shannon--Nyquist Measurement Geometry Open
We develop a three-dimensional analogue of Shannon's sampling framework for Gaussian random fields, in which local geometry is encoded by a measurementoperator and its discrete realisations on a lattice.Starting from a self-adjoint, Laplac…
View article: The Lyapunov-KAM Phase Transition: Critical Phenomena in Invariant Torus Fragmentation
The Lyapunov-KAM Phase Transition: Critical Phenomena in Invariant Torus Fragmentation Open
This paper explores the intricate relationship between the breakdown of invariant tori, a central concept in Kolmogorov-Arnold-Moser (KAM) theory, and the onset of large-scale chaotic behavior, quantified by positive Lyapunov exponents. We…
View article: Lyapunov Exponent Universality at the KAM-Chaos Edge
Lyapunov Exponent Universality at the KAM-Chaos Edge Open
The transition from regular, quasi-periodic motion to chaotic behavior is a fundamental phenomenon in nonlinear dynamical systems, particularly those described by Hamiltonian mechanics. The Kolmogorov-Arnold-Moser (KAM) theorem elucidates …
View article: The Unified Scale-Symmetry Model: Structural Resolution of the Dark Sector, Fundamental Forces, and Baryon Asymmetry via Thermodynamic Scale Contraction
The Unified Scale-Symmetry Model: Structural Resolution of the Dark Sector, Fundamental Forces, and Baryon Asymmetry via Thermodynamic Scale Contraction Open
The Standard Model of Cosmology (\LambdaCDM) and the Standard Model of Particle Physics have achieved remarkable predictive success, yet they remain fundamentally disjointed and reliant on unexplained phenomena such as Dark Energy, Dark Ma…
View article: Chaos-Modulated Algebraic Spectra: Zeta Functions as Analog Probes of Weakly Chaotic Dynamics
Chaos-Modulated Algebraic Spectra: Zeta Functions as Analog Probes of Weakly Chaotic Dynamics Open
Key Contributions…- Real-time chaotic sensing in high-frequency autonomous platforms (drones, robots) - Low-latency anomaly detection in time-series data - Neuromorphic hardware for cognitive spectral analysis - Theoretical studies of disc…
View article: The Lyapunov-KAM Phase Transition: Critical Phenomena in Invariant Torus Fragmentation
The Lyapunov-KAM Phase Transition: Critical Phenomena in Invariant Torus Fragmentation Open
This paper explores the intricate relationship between the breakdown of invariant tori, a central concept in Kolmogorov-Arnold-Moser (KAM) theory, and the onset of large-scale chaotic behavior, quantified by positive Lyapunov exponents. We…
View article: Entropy as a Universal Scaling Law for Critical Phenomena
Entropy as a Universal Scaling Law for Critical Phenomena Open
Critical phenomena, characterized by abrupt changes in macroscopic properties near phase transition points, exhibit universal scaling behavior independent of microscopic details. This paper explores the hypothesis that entropy serves as a …
View article: Entropy as a Universal Scaling Law for Critical Phenomena
Entropy as a Universal Scaling Law for Critical Phenomena Open
Critical phenomena, characterized by abrupt changes in macroscopic properties near phase transition points, exhibit universal scaling behavior independent of microscopic details. This paper explores the hypothesis that entropy serves as a …
View article: Lyapunov Exponent Universality at the KAM-Chaos Edge
Lyapunov Exponent Universality at the KAM-Chaos Edge Open
The transition from regular, quasi-periodic motion to chaotic behavior is a fundamental phenomenon in nonlinear dynamical systems, particularly those described by Hamiltonian mechanics. The Kolmogorov-Arnold-Moser (KAM) theorem elucidates …
View article: Informational Black-Hole Networks: Emergent 4D Spacetime and a Parameter-Free Cosmological Constant
Informational Black-Hole Networks: Emergent 4D Spacetime and a Parameter-Free Cosmological Constant Open
We introduce a discrete informational framework in which spacetime-like behavior and cosmological dynamics emerge without assuming metrics, fields or thermodynamic postulates. The model consists of finite-capacity horizon nodes storing inf…