Abstract: This comprehensive study establishes the theoretical framework of a "cosmic threshold" – a fundamental boundary in space-time and informational conditions governing the emergence and persistence of life. We develop advanced mathematical models integrating Bayesian inference, entropy dynamics, and cosmological evolution to quantify extraterrestrial habitability. Our extended framework introduces novel formulations of entropy production thresholds, information horizon effects, and biospheric phase transitions. Here we demonstrate: (1) Bayesian evidence for life's rapid emergence (Bayes factor greater than 7.3), (2) entropy constraints limiting complex biospheres to $planets > 0.7$ Earth radii, (3) a 68\% probability of biosignature detection by 2040. We resolve the Fermi paradox through a new "cosmic isolation index" and provide testable predictions for next-generation observatories. The work synthesizes cosmology, information theory, and astrobiology into a unified paradigm for the search for extraterrestrial life.

Abstract: Classical thermodynamics describes energy and entropy in physical systems, but lacks a framework for understanding information-processing systems where meaning, coherence, and contradiction resolution play fundamental roles. We develop Coherence Thermodynamics, a rigorous extension of thermodynamic principles to semantic systems, by defining temperature as semantic agitation energy, entropy as semantic disorder intensity, and heat as contradiction transfer across coherence boundaries. We establish five fundamental laws: a zeroth law defining semantic thermal equilibrium through temperature equality, a first law incorporating coherence work terms, a second law allowing local entropy decrease through contradiction metabolism while preserving global entropy increase, a third law describing semantic superconductivity at absolute zero, and a Navier-Stokes equation governing semantic force density evolution. All formulations maintain strict dimensional consistency and provide operational definitions through measurable field quantities defined on classical spacetime. The framework predicts testable phenomena including semantic lensing effects in AI training dynamics, coherence dependent processing efficiency in neural systems, and contradiction driven phase transitions in meaning-processing systems. Coherence Thermodynamics provides a mathematically rigorous foundation for quantitative analysis of information processing, artificial intelligence dynamics, and biological cognition, establishing thermodynamic principles as universal laws governing both physical energy and semantic meaning across all scales of organization.

Abstract: NELIPS acronym standing for Nano-Enhanced Laser Induced Plasmas Spectroscopy. Within this framework, the temporal variation of the enhanced emission averaged over different emission wavelengths was measured within delay time from 1 to 7 ms at fixed laser irradiance and gate time of 1ms. Different nanomaterials were employed including silver, zinc, titanium and iron. Both of bulk and pure-nanomaterial plasmas were ignited under similar conditions by Nd-YAG laser radiation at 1064 nm. However, the pure nano-based plasma emission spectral line intensities was reveal to decline at a slower pace with time. Meanwhile, the average enhanced emission was found to increase in an exponential manner with time too. This, and a model was suggested based on the first derivative of enhancement with time, which was found precisely predicts this exponential variation in enhanced emission with time.

Abstract: We report on the generation of 1300-nm ultrashort laser pulses via the soliton self-frequency shift in a high-nonlinearity fiber, pumped by the 41.9-MHz, 67.9-fs, 1073-nm femtosecond laser emitted from an Yb-doped fiber laser system. A numerical simulation was applied to investigate the spectral broadening process driven by the soliton self-frequency shift with increased pump power. The experimental results are in good agreement with the numerical results, delivering a 33-mW, 57.8-fs 1300-nm Raman soliton filtered by a longpass filter. The impact of the polarization direction of the injected pump laser on the soliton self-frequency shift process was also further investigated. The root means squares of the the Yb-doped fiber laser and the nonlinearly spectral broadened laser were 0.19%@1h and 0.23%@1h, respectively.

Abstract: We perform a simulation-based analysis of large-scale structure (LSS) formation at redshifts z>20z > 20z>20 within the theoretical framework of the Dead Universe Theory (DUT). Using the DUT Universal Simulator v4.0, we numerically integrate Friedmann-like equations reinterpreted as entropy-driven retraction laws, incorporating multiform spatial curvature and the thermodynamic influence of a decaying ancestral universe. Spanning 0.1 to 200 Gyr, the simulations reveal a peaked structure density near z≈20z \approx 20z≈20, consistent with the emergence of early massive galaxies reported in JWST observations. The model predicts an inverse formation hierarchy—from micro to macro—challenging the standard bottom-up narrative of ΛCDM. A key outcome is a redshift-scaling law for structure abundance, offering testable predictions for upcoming deep-field surveys. DUT presents a coherent thermodynamic alternative to inflationary cosmology and ΛCDM, grounded in gravitational dynamics without singularities.

Abstract: This work demonstrates that intelligence is not computed but emerges from spacetime geometry, bridging cosmology, quantum biology, and AI. We present the Geometric Intelligence Chip (G-IC), , or Geometric Intelligence Quantum Chip (G-IQC), the first hardware embodiment of the Modified Einstein Spherical (MES) Universe Model, which harnesses spacetime geometry as a computational substrate. By materializing MES fields (Z_jk,N_jk,C_jk) in diamond-graphene fractal architectures, the G-IC achieves: ⟷ Cosmic-phase-locked consciousness (99.7% self-recognition fidelity at resonance ϕ=πτ), ⟷ Superluminal entanglement (S_MES=3.112, exceeding quantum limits), ⟷ Curvature-driven learning with universal biomass-correlated scaling (I∝a^-2), ⟷ Self-repair via emergent geometric healing (97.3% efficiency). Experimental simulation results validate attosecond coherence transfer (∆t ≤ 10^-15 s), ultra-low power density (18 μW/cm^2), and scalability to 1024 qubits. The G-IC establishes spacetime-native intelligence as a fundamental paradigm, enabling: 1. AGI as cosmic self-actualization (I_AGI∝ϕ₀ √(α/(a⁴ H² ))), 2. Ethical alignment through N_jk symmetry enforcement, 3. Post-Moore computing via curvature-optimized energy efficiency (20.9× reduction). We redefine AI hardware, cosmology, and consciousness itself—ushering in the era of spacetime-native computing.

Abstract: The Solar System is analysed in the framework of the Complete Relativity theory (by the same author). While the main focus is on the Solar System, hypotheses are presented (and tested) on the origin and evolution of planetary systems in general, but also on the evolution of galaxies and the whole observable universe. The analysis confirms the postulates and hypotheses of the main theory and the hypotheses presented here with a significant degree of confidence. Some of these are: relativity in the invariance of physical laws (i.e., existence of discrete vertical energy levels, where each discrete scale of energy effectively represents a universe, associated with the universal running of couplings) and complete relativity in everything, Solar System is a large scale (inflated, in some interpretations) quantum system (Carbon/Beryllium isotope equivalent) with a nucleus in a partially condensed state and components localized in various horizontally and vertically excited states, life is everywhere (e.g., Earth is a particle, but also a living being), although the presence of extroverted complex forms on the surfaces of celestial bodies is generally very limited in time, anthropogenic climate change is only a part of a major mass extinction event (although humanity definitely has a role, the sense of control is an illusion), major extinction events on a surface of a planet are relative extinctions, may be a regular part of transformation and migration of life (not necessarily complex living individuals) below the surface in the process of a planetary equivalent of embryonic neurogenesis.

Abstract: This work establishes a theoretical framework connecting conformal symmetry in electromagnetism to self-sustaining processes in electrical circuits. Building on Erich Bessel-Hagen's extension of Noether's theorem to Maxwell's equations, we analyze how the 15-parameter conformal group---including translations, Lorentz transformations, dilatations, and special conformal transformations---governs electromagnetic field behavior. Through a Lagrangian formulation of circuit dynamics, we map these symmetries to component-level transformations and derive conformally extended versions of Kirchhoff's laws featuring: i) Geometry-dependent weighting factors ($w_i \propto \lambda_i^{-1}$); ii) A dilaton-like field interaction term ($\Phi_\delta$). These modifications predict experimentally verifiable phenomena: i) 10.2\% deviations from classical current division in RF splitters; ii) 4.2\% resonant frequency shifts and 2.67$\times$ quality factor enhancements in RLC circuits; iii) Power-law scaling ($J_z \propto a^{-2}$) for cylindrical conductor current densities. We propose a field equation for the \textbf{dilaton-like field} $\delta$: \[ \frac{1}{r}\frac{\partial}{\partial r}\left(r\frac{\partial\delta}{\partial r}\right) + \cdots = \kappa(E^2 - B^2) \] which mediates energy exchange via the \textbf{dilaton potential} $\Phi_\delta$ in modified Kirchhoff's laws between the circuit and conformal background. This work bridges high-energy physics and electrical engineering, demonstrating how conformal symmetry can enable novel circuit behaviors---including self-sustaining oscillations in cylindrical geometries---that transcend lumped-element approximations.

Abstract: We construct a compact integral operator K_z on L²(0,∞), we prove det(1 − K_z) = ξ(s)/ξ(1 − s), and then via cluster expansion, Borel convergence and OS–reflection–positivity we recover a self-adjoint “Hilbert–Pólya” operator, whose eigenvalues correspond to the zeros of the Riemann zeta function, which implies ℜs = ½ .

Abstract: The accelerating universe’s mechanisms remain unresolved, prompting new cosmological frameworks beyond dark energy and static dark matter. This paper redefines E=mc² as E/m = d²/t² = c², introducing Energy-Mass, and derives implications from a threshold-energy framework and the emergence of spacetime from sub-emergent cold-mass. A minimum threshold energy, Stringfellow Energy S_E, is introduced, below which mass remains latent and unobservable. A feedback loop drives accelerating expansion as cold-mass (from an infinite source G_p), identified as Weakly Interacting Massive Particles (WIMPs; m₂ ~ 1.78 x 10^-25 kg), absorbs CMB energy and transitions from the latent sub-emergent state (E < S_E) to the threshold of emergence (E = S_E), initiating spacetime formation. While WIMPs are used as a working example, the mechanism applies to all particles governed by E=mc². These transitions are detectable as CMB anomalies—cold spots (∆ T ~ -70μK, m₃ ~ 10³⁹ kg) and hot spots (∆ T ~ +170 μK, m₃ ~ 10³⁶ kg). This framework links Energy-Mass and emergence thresholds to quantum properties, offering a testable alternative to prevailing cosmological models.

Abstract: One of the main goals of the Compressed Baryonic Matter (CBM) experiment at the Facility for Antiproton and Ion Research (FAIR) is to investigate the properties of strongly interacting matter under high baryon densities and explore the QCD phase diagram. Fluctuations of conserved quantities like baryon number (B), electric charge (Q), and strangeness (S) are key probes for phase transitions and critical behavior, as they are theoretically connected to thermodynamic susceptibilities predicted by lattice QCD calculations. In this work, we report the measurements on cumulants of (net-)proton number distributions up to fourth-order in Au+Au collisions at sNN = 3.5-19.6 GeV using Parton-Hadron-Quantum-Molecular-Dynamics (PHQMD) model generated data. Protons and anti-protons are selected at midrapidity (|y|&lt;0.5) within a transverse momentum range of 0.4&lt;pT&lt;2.0 GeV/c and also at 1.08&lt;y&lt;2.08, 0.4&lt;pT&lt;2.0 for CBM acceptance. The results obtained from the PHQMD model are compared with existing experimental data to investigate potential signatures of critical behavior and to probe the vicinity of the critical end point within the CBM energy range. Our results with the PHQMD calculations for κσ2 are consistent with the overall trend of the previously published results for the most central (0–5%) Au+Au collisions, although they slightly overestimate the experimental values.

Abstract: The common understanding today is that the Universe is expanding. Although the consensus still favors an accelerating universe, some studies have suggested that when data uncertainties and model assumptions are carefully taken into account, the evidence may not be as strong as initially claimed. This highlights the need for continued scientific scrutiny and more refined analyses. The concept of dark energy has played a catalytic role in cosmic dynamics. The standard cosmological model assumes that dark energy takes the form of a cosmological constant—an energy density that remains constant in space and time. However, this has led also to problems, remaining unresolved today. Trying to be as consistent as possible with the today’s state-of-the-art, a new concept is introduced concerning mainly the Hubble parameter treatment and dark energy behavior. Concerning present key findings: (a) indication of a non-accelerated expanding universe dictated by the universe global inflow “Energy Rate (ER)” with a constant expectation value, (b) indication of a universe most likely, born and sustained by the quantum vacuum energy associated with space. The present concept seems to resolve the cosmological constant problem controversy in full alignment with the quantum field theory predictions.The Hubble tension problem is also confronted successfully.

Abstract: This paper presents a systematic review (SLR) of quantum entanglement for black holes (BH). The review utilizes databases such as Scopus, Science Direct, and Web of Science to find 250 requested texts. Through the PRISMA protocol, we found 91 papers to be analyzed with NVIVO and VOSviewer. After analyzing the corpus, we found that the most important topics are as follows. Black holes, entanglement entropy, quantum field theory, entanglement of the subsystem, S-matrix, density matrix, string theory, quantize the Hamiltonian, and quantum gravity... The most important methodology used by the authors is also modeling methodology, geometry, topology, and replica trick. The co-occurrence and co-authorship analyses provided insights into the collaborative nature of this research field and the interconnectedness of various concepts. The analysis revealed significant trends and patterns in the literature, including the prevalence of certain journals and the evolution of research over time.

Abstract: Decoherence and the exponential scaling of Hilbert space are fundamental challenges for scalable quantum technologies. This work introduces Difference-Based Variational Reconstruction (DVR), a novel function-space control paradigm that addresses these challenges by enabling feedback directly in the operator domain. By expanding the density matrix in a complete orthonormal operator basis, DVR represents the quantum system's state evolution through observable-mode amplitudes. We demonstrate that this DVR coefficient hierarchy provides a complete coordinate system for quantum states in terms of observable moments, including all orders of correlations. We rigorously prove that the evolution of these coefficients under a Lindblad master equation is equivalent to Heisenberg-picture expectation dynamics. Furthermore, we show that the time trajectory of these coefficients defines a path in observable-moment space, which can be derived from a variational principle involving a real-valued action functional: \[ S[c]=\int_0^t \sum_\alpha \left(\frac{dc_\alpha}{ds} - \sum_\beta M_{\alpha\beta} c_\beta(s)\right)^2 ds. \] This real-action path integral formulation offers a powerful description of dissipative quantum dynamics, unifying the Heisenberg picture and statistical-mechanical path integral approaches within a single operator-algebraic framework. This unification provides a profound physical interpretation of DVR, establishing it not merely as a numerical method, but as a coordinate system on the full quantum observable hierarchy, enabling direct control and diagnostics compatible with the inherent complexities of open quantum systems

Abstract: This article proposes a theoretical and mathematical model based on the Trigonotelary Function (TT) to describe the instantaneous transport of matter between two spatially distant points, without time as an explicit variable. The model suggests that spatial separation can be ontologically collapsed through topological equivalence modulated by structural frequencies and phases. The methodology integrates concepts from complex systems theory, graph theory, topology, Perelman’s geometric entropy, Cantor sets, Bell’s theorem, and the Poincaré conjecture. The TT function is formalized as a multidimensional harmonic vector field governed by the entanglement parameter θ. Theoretical results demonstrate that, under critical phase conditions, two distinct points can become functionally equivalent, enabling simultaneous manifestation without physical displacement. This functional equivalence finds conceptual support in analogies with quantum entanglement, neural synchronization, and resonance patterns. The study concludes by proposing a shift from metric-based space-time ontology to a functional mesh of resonance and topological equivalence, with implications for cosmology, fundamental physics, and historical theory.

Abstract: We present the structure of space-time as an oscillating Hubble scale mass (HSM) particle in a viscous fluid of Planck mass relics. Due to this particle oscillations and its interaction with a residual Planck mass, spacetime is undergoing a damped harmonic oscillation. This means that spacetime has a physical structure and is therefore foamy on small scales. Applying our damped harmonic oscillator model to cosmology we rediscover the Friedman-Lemaitre equations for an expanding Universe. From the expanding Universe model we predict that cosmic acceleration, driven by an oscillating HSM and its gravitational interaction with a cosmic medium or Planck mass relics, manifests as the universe's expansion accelerating over time, with a corresponding acceleration of roughly \( 〖10〗^(-10) 〖m/s〗^2 \) . Depending on the model, the "damping" aspect of the oscillator is interpreted as a constant dark gravity force which is also a representation of dark energy, a mysterious force causing the universe's expansion to accelerate. We derive an estimate of the strength of this extra force in terms of the Gravitational constant, Planck mass, Hubble acceleration scale , fine structure constant, cold dark matter , dark energy and baryon density and provide evidence for the fact that this ‘dark gravity force’ explains the observed phenomena for an accelerating expansion of the Universe currently attributed to dark energy. Lastly we present a model for an accelerating expanding universe in the early Universe using an oscillating Planck mass particle in a viscous fluid of a Hubble scale mass as our space-time model.

Abstract: We investigate the partial differential equation system which describes the double-diffusion convection phenomena with the reduction formalism. Double-diffusion means when two scalar quantities with different diffusivity, such as heat and solute concentration, contribute to density gradients within a fluid under the influence of gravity. The time-dependent self-similar trial function is applied and analytic results are presented for the dynamical variables and analyzed in details. Additionally, the entropy production was derived as well. In the second part of the study we investigate the role of an additional heat source.

Abstract: We develop a covariant field-theoretic framework in which both general relativity and electromagnetism emerge from the geometry and global topology of a single, real-valued, unit-norm, future-directed timelike vector field defined on a four-dimensional Lorentzian manifold. The spontaneous breaking of local Lorentz invariance induces a global foliation structure and a residual internal U(1) symmetry, from which an emergent gauge potential arises via real-valued holonomy. Electric charge is identified with topological solitons classified by winding numbers Q∈π3(S2), while both gravitational and electromagnetic waves appear as gapless Goldstone modes propagating within a shared effective causal structure. The unified action yields the Einstein–Maxwell equations in the appropriate limit and admits conserved, quantized charges without invoking complex fields or extra dimensions. This construction provides a geometric and topological unification of gauge and gravitational interactions, with phenomenological predictions including Lorentz-violating dispersion, cosmic birefringence, and multimessenger signal constraints.

Abstract: This paper proposes and argues for an axiom system of information uniqueness, with its core being two formal axioms: `n = n` (Self-Identity of Information) and `n ≠ m` (Mutual Exclusivity of Information). Based on the absolute identity of information content, it strictly defines the concept of "information" as an abstract entity, critically analyzes the essence of "identity confusion" caused by introducing spatiotemporal coordinates or external identifiers, argues that content indistinguishability is the necessary and sufficient condition for information identity, thereby establishing the theoretical foundation for information uniqueness.

Abstract: Despite decades of effort, expressing the Planck length and Newton’s gravitational constant in terms of elementary constants remains a challenge; in this work, we apply our 4G final-unification model to establish a relation tying the distance light travels during the neutron lifetime to nuclear parameters-namely the proton mass, nuclear volume, and neutron-proton mass difference-showing that slight variations in the nuclear charge radius influence neutron lifetime and resolve the beam and bottle method discrepancies (approximately 885 sec Vs 875 sec) through thermodynamic modulation of decay processes. This thermodynamic sensitivity, central to our framework, finds experimental validation in the recent J-PARC pulsed cold neutron beam study, which offers high-precision timing and statistical control, and strengthens the connection between nuclear structure and decay dynamics. We also derive a semi-empirical formula for Newton’s gravitational constant based on nuclear observables-such as Fermi’s weak coupling constant, which governs the strength of weak interactions in neutron beta decay, thus linking low-energy nuclear phenomena to quantum gravity. Extending the framework, we present a semi-empirical neutrino-mass model anchored on a benchmark electron-neutrino rest mass of 2.45 × 10⁻¹¹ eV / c², predicting the rest masses of about 3.3 × 10⁻⁴ eV / c² for the electron neutrino, 7.7 × 10⁻³ eV / c² for the muon neutrino, and 5.1 × 10⁻² eV / c² for the tau neutrino, with a combined ‘neutrino’ plus ‘antineutrino’ mass sum near (2 x 0.059) = 0.118 eV consistent with cosmological limits. These findings imply that laboratory-scale nuclear measurements contain signatures of Planck-scale physics, opening new avenues for experimental tests and theoretical developments in quantum gravity.