Time evolution
View article: The Processing-Rate Theory: A Scalar-Informational Extension of Proper Time and Strong-Field Dynamics
The Processing-Rate Theory: A Scalar-Informational Extension of Proper Time and Strong-Field Dynamics Open
This work develops the Processing-Rate Theory (PRT), a scalar-informational extension of general relativity in which physical proper time is governed by a local processing-rate field R(x). Matter evolves according to an effective temporal …
View article: The Processing-Rate Theory: A Scalar-Informational Extension of Proper Time and Strong-Field Dynamics
The Processing-Rate Theory: A Scalar-Informational Extension of Proper Time and Strong-Field Dynamics Open
This work develops the Processing-Rate Theory (PRT), a scalar-informational extension of general relativity in which physical proper time is governed by a local processing-rate field R(x). Matter evolves according to an effective temporal …
View article: Independence of Time and Space In Quantum Mechanics
Independence of Time and Space In Quantum Mechanics Open
In (1), it is stated that “time flows continuously like a river’ … and is treated like a classical variable in Quantum Mechanics.” Here, we wish to consider the behaviour of time in quantum situations. We argue that a 4-space sense of time…
View article: On thermalization of a system with discrete phase space
On thermalization of a system with discrete phase space Open
We investigate the thermalization of a stochastic system with a discrete phase space, initially at equilibrium at temperature Ti and then thermalizing in an environment at temperature Tf , considering both cases Ti > Tf and Ti < Tf . For t…
View article: Phase Estimation with Compressed Controlled Time Evolution
Phase Estimation with Compressed Controlled Time Evolution Open
Many optimally scaling quantum simulation algorithms employ controlled time evolution of the Hamiltonian, which is typically the major bottleneck for their efficient implementation. This work establishes a compression protocol for encoding…
View article: Metastability of diffusion processes in narrow tubes
Metastability of diffusion processes in narrow tubes Open
We study the metastable behavior of diffusion processes in narrow tube domains, where the metastability is induced by entropic barriers. We identify a sequence of characteristic time scales $\{T_ε^i\}_{1 \leq i \leq \abs{V'}}$ and characte…
View article: Emergence of Proper Time from a Density-Dependent Scalar Field
Emergence of Proper Time from a Density-Dependent Scalar Field Open
This preprint introduces the framework of Density-Modulated Proper Time (DMPT), a conceptual model in which proper time emerges from interactions with a scalar “clock field.”Through a Higgs-like mechanism, the clock field acquires a nonzer…
View article: A Unified Algorithm for Codimension-2 Spacetime Reductions
A Unified Algorithm for Codimension-2 Spacetime Reductions Open
Dimensional Collapse Theory: A Unified Algorithm for Codimension-2 Spacetime Transitions Release Tag: v1.0-dct_algorithm Overview This record archives the first public release of the manuscript “Dimensional Collaps…
View article: The Metronomic Time Field: From Fundamental Lagrangian Dynamics to Universal Temporal Phenomenology
The Metronomic Time Field: From Fundamental Lagrangian Dynamics to Universal Temporal Phenomenology Open
This work presents a complete Lagrangian formulation of the Metronomic Time Field (“P-theory”), a framework in which temporal flow is affected by a dynamical scalar component , interpreted as a viscosity of time rather than time itself. We…
View article: A Unified Algorithm for Codimension-2 Spacetime Reductions
A Unified Algorithm for Codimension-2 Spacetime Reductions Open
Dimensional Collapse Theory: A Unified Algorithm for Codimension-2 Spacetime Transitions Release Tag: v1.0-dct_algorithm Overview This record archives the first public release of the manuscript “Dimensional Collapse Theory A Unified Algori…
View article: Probing Evolution of Long GRB Properties through their Cosmic Formation History Aided by Machine Learning–predicted Redshifts
Probing Evolution of Long GRB Properties through their Cosmic Formation History Aided by Machine Learning–predicted Redshifts Open
Gamma-ray bursts (GRBs) are valuable probes of cosmic star formation reaching back into the epoch of reionization, and a large dataset with known redshifts ( z ) is an important ingredient for these studies. Usually, z is measured using sp…
View article: Temporal–Density Framework (Volume 2): Unified Origins of Matter, Dark Matter, and Horizon Geometry
Temporal–Density Framework (Volume 2): Unified Origins of Matter, Dark Matter, and Horizon Geometry Open
This volume presents the second stage of the Temporal–Density Framework, extending the invariant α c λ = 1 from dimensionless curvature to the unified origins of matter, dark–matter SU(3) cores, baryonic U(1) reactivity, n…
View article: MMS-A4: The Arrow of Time as Entropic Spacetime Flow
MMS-A4: The Arrow of Time as Entropic Spacetime Flow Open
This paper proposes that the arrow of time emerges from a deep physical principle: entropy does not merely increase in time; it drives the forward direction of time by shaping the geometry and causal structure of spacetime itself. We argue…
View article: The Metronomic Time Field: From Fundamental Lagrangian Dynamics to Universal Temporal Phenomenology
The Metronomic Time Field: From Fundamental Lagrangian Dynamics to Universal Temporal Phenomenology Open
This work presents a complete Lagrangian formulation of the Metronomic Time Field (“P-theory”), a framework in which temporal flow is affected by a dynamical scalar component , interpreted as a viscosity of time rather than time itself. We…
View article: Coordinate Time and Entropy Time: A Dual-Time Framework of Temporal Evolution
Coordinate Time and Entropy Time: A Dual-Time Framework of Temporal Evolution Open
Entropy Time (ET) is introduced as a real, measurable temporal dimension complementary to Coordinate Time (CT). Whereas CT describes geometric progression in relativity, ET captures the irreversible physical evolution that systems undergo …
View article: Coordinate Time and Entropy Time: A Dual-Time Framework of Temporal Evolution
Coordinate Time and Entropy Time: A Dual-Time Framework of Temporal Evolution Open
Entropy Time (ET) is introduced as a real, measurable temporal dimension complementary to Coordinate Time (CT). Whereas CT describes geometric progression in relativity, ET captures the irreversible physical evolution that systems undergo …
View article: MMS-A4: The Arrow of Time as Entropic Spacetime Flow
MMS-A4: The Arrow of Time as Entropic Spacetime Flow Open
This paper proposes that the arrow of time emerges from a deep physical principle: entropy does not merely increase in time; it drives the forward direction of time by shaping the geometry and causal structure of spacetim…
View article: On the difference between thermalization in open and isolated quantum systems: A case study
On the difference between thermalization in open and isolated quantum systems: A case study Open
Thermalization of isolated and open quantum systems has been studied extensively. However, being the subject of investigation by different scientific communities and being analysed using different mathematical tools, the connection between…
View article: Spatio‐Temporal Monte Carlo Modelling of Collisional Processes in Loading and Decay of an Optical Dipole Trap
Spatio‐Temporal Monte Carlo Modelling of Collisional Processes in Loading and Decay of an Optical Dipole Trap Open
We present our studies on intra‐trap dynamics of an optical dipole trap loaded from a Magneto‐optical trap of atoms. A spatio‐temporal Monte Carlo simulation approach has been employed in conjunction with the semi‐classical theory based ca…
View article: The Processing-Rate Theory: Physical Time as Local State-Evolution Rate in Relativistic Spacetimes
The Processing-Rate Theory: Physical Time as Local State-Evolution Rate in Relativistic Spacetimes Open
This work develops the Processing-Rate Theory (PRT), a scalar-informational extension of general relativity (GR) in which physical proper time is governed by a local processing-rate field R(x). Physical time increments satisfy dτ_eff = R(x…
View article: Influence of Cross-Sectional Curve Equation on Flow Field Evolution and Particle Separation in the Spiral Concentrator of the First Turn
Influence of Cross-Sectional Curve Equation on Flow Field Evolution and Particle Separation in the Spiral Concentrator of the First Turn Open
The flow field evolution in the first turn of the spiral concentrator is decisive for the separation efficiency of solid particles. A laboratory-scale Φ300 mm spiral concentrator was employed as the study subject. The fluid phase was simul…
View article: Time as Density of States: Unified Time Identity \kappa = \rho and Microscopic Scattering Mechanism of Gravitational Redshift
Time as Density of States: Unified Time Identity \kappa = \rho and Microscopic Scattering Mechanism of Gravitational Redshift Open
In conventional physics, time plays incompatible roles in quantum theory and general relativity: in quantum mechanics it is an external evolution parameter generated by a Hamiltonian, whereas in general relativity proper time is a path-dep…
View article: Entropy Flow and Exceptional-Point Structure in Two-Mode Squeezed-Bath Dynamics
Entropy Flow and Exceptional-Point Structure in Two-Mode Squeezed-Bath Dynamics Open
Squeezed reservoirs provide a powerful means of engineering nonclassical noise and controlling irreversible dynamics in open quantum systems. Here we develop a comprehensive analysis of two coupled harmonic oscillators driven by independen…
View article: Numerical solution of the nonlinear boson diffusion equation for gluons
Numerical solution of the nonlinear boson diffusion equation for gluons Open
The nonlinear boson diffusion equation is taken as a basis to account for the fast thermalization of gluons in the initial stages of relativistic heavy-ion collisions. For constant drift and diffusion coefficients with schematic initial co…
View article: Dual–Phase Time and Temporal Cone Coupling: From Quantum Coherence to Cosmological Expansion
Dual–Phase Time and Temporal Cone Coupling: From Quantum Coherence to Cosmological Expansion Open
Abstract Building on the dual-phase time geometry derived from the quintic algebra C5C_{5}C5
View article: Bridging the Problem of Time: From Quantum Now to Internal Time Generation(V28R2)
Bridging the Problem of Time: From Quantum Now to Internal Time Generation(V28R2) Open
[Abstract] We construct a time-centric extension of our previous information-theoretic cosmology (V26, V27) that aims to bridge—rather than resolve—the long-standing "Problem of Time" in canonical quantum gravity.…
View article: chrishg23-jpg/HES-benchmark: HES Holgraphic Entropic Spacetime
chrishg23-jpg/HES-benchmark: HES Holgraphic Entropic Spacetime Open
This is a First release of a mostly complete theoretical work using Colab sandbox style simulations. 1 HES-P₀ is a classical scalar field theory on a discrete periodic lattice governed by a single update rule containing exactly six measure…
View article: Time as Density of States: Unified Time Identity \kappa = \rho and Microscopic Scattering Mechanism of Gravitational Redshift
Time as Density of States: Unified Time Identity \kappa = \rho and Microscopic Scattering Mechanism of Gravitational Redshift Open
In conventional physics, time plays incompatible roles in quantum theory and general relativity: in quantum mechanics it is an external evolution parameter generated by a Hamiltonian, whereas in general relativity proper time is a path-dep…
View article: Dual–Phase Time and Temporal Cone Coupling: From Quantum Coherence to Cosmological Expansion
Dual–Phase Time and Temporal Cone Coupling: From Quantum Coherence to Cosmological Expansion Open
Building on the dual-phase time geometry derived from the quintic algebra C5C_{5}C5, we formulate a coupling between microscopic temporal phases and macroscopic temporal potentials, unifying quantum coherence with cosmological time dilatio…
View article: Fast and length-independent transport time supported by topological edge states in finite-size Su-Schrieffer-Heeger chains
Fast and length-independent transport time supported by topological edge states in finite-size Su-Schrieffer-Heeger chains Open
In order to transport information with topological protection, we explore experimentally the fast transport time using edge states in one-dimensional Su-Schrieffer-Heeger (SSH) chains. The transport time is investigated in both one- and tw…