Tomer Haimovich

Topological Constraints on Spatial Metrics in Saturated Galactic Systems: Parameter-Free Implications for Strong Lensing and Kinematics

It is known that the application of standard celestial mechanics to the outer regions of late-type galaxies and massive lensing clusters reveals distinct dynamic asymmetries in low-acceleration regimes. We propose that these discrepancies arise from an optical-dynamic phase trans...

The Phantom Metric: Transient Non-Linear Damping and Phase Transition as a Complete Alternative to Cold Dark Matter

The enduring failure to directly detect Cold Dark Matter (CDM) particles necessitates a paradigm shift in our understanding of cosmological dynamics. In this letter, we propose the "Phantom Metric"—a novel framework based on a Dirac-Born-Infeld (DBI) action, modeling spacetime no...

The Genesis of Relativistic Mechanics: Time, the Speed of Light, and Gravity as Emergent Properties of Baryonic Impedance on the Planck Frequency

This paper proposes a deterministic mechanical origin for time, the speed of light (c), and gravity, demonstrating that none are fundamental dimensions or axiomatic constants. By redefining the primordial spatial vacuum as a continuous wave resonance constrained by the Planck fre...

Topological Spacetime Cosmology: Resolving the Vacuum Catastrophe, the Hubble Tension, the Dark Energy Enigma, and Deriving the Absolute Baryonic Mass of the Universe via Entropic Metric Dilation

The standard ΛCDM cosmological framework relies on localized parameters to reconcile empirical observations with continuous manifold mechanics, culminating in the Hubble Tension and the 10¹²² Vacuum Catastrophe. We present a purely thermodynamic geometric framework where macrosco...

Topological Spacetime Cosmology: Resolving the Vacuum Catastrophe, the Hubble Tension, the Dark Energy Enigma, and Deriving the Absolute Baryonic Mass of the Universe via Entropic Metric Dilation

The standard ΛCDM cosmological framework relies on localized parameters to reconcile empirical observations with continuous manifold mechanics, culminating in the Hubble Tension and the 10¹²² Vacuum Catastrophe. We present a purely thermodynamic geometric framework where macrosco...

Empirical Predictions of Topological Spacetime Cosmology: Void Expansion Dynamics and Metric Anisotropy

We present three falsifiable empirical predictions of Topological Spacetime Cosmology, a parameter-free geometric framework. The model derives cosmic acceleration strictly as a kinematic relaxation of the spatial metric as the macroscopic baryonic load dilutes, entirely eliminati...

The Phantom Metric: Resolving Dark Matter Anomalies in Galactic Kinematics, Strong Lensing, and Galaxy Clusters via Topological Constraints and Topological Metric Deformation (Parameter-Free)

We present a unified, parameter-free geometric framework that resolves dark matter anomalies as emergent properties of a macroscopic topological manifold. When local gravitational acceleration drops below the empirical minimal acceleration threshold ($a_0$), the spatial metric un...

The Phantom Metric: Resolving Dark Matter Anomalies in Galactic Kinematics, Strong Lensing, and Galaxy Clusters via Topological Constraints and Topological Metric Deformation (Parameter-Free)

We present a unified, parameter-free geometric framework that resolves dark matter anomalies as emergent properties of a macroscopic topological manifold. When local gravitational acceleration drops below the empirical minimal acceleration threshold ($a_0$), the spatial metric un...

The Duality of Topological Saturation: Phase Transitions, Manifold Expansion, and the Phantom Metric

The Phantom Metric framework presents a parameter-free geometric resolution to the dark matter problem by treating the empirical minimal acceleration threshold (a0) as a macroscopic boundary condition of the expanding universe. In this theoretical letter, we elucidate the fundame...

The Phantom Metric: Resolving Dark Matter Anomalies in Galactic Kinematics, Strong Lensing, and Galaxy Clusters via Discrete Topological Constraints (Parameter-Free)

We present a unified, parameter-free discrete geometric framework eliminating the need for hypothetical Dark Matter halos. By modeling galactic spacetime as a discrete spatial lattice and enforcing an information-theoretic geometric saturation boundary governed by a Topological S...

The Mechanical Framework of Computational Spacetime: Resolving the CMB, Angular Momentum, and Time Dilation via Rendering Latency

The standard cosmological model (ΛCDM) relies on inflationary parameters and hypothetical dark components to reconcile observations with General Relativity. This paper introduces a deterministic, parameter-free mechanical framework operating on the principles of digital physics a...

Empirical Predictions of The NavMesh Cosmology: Resolving the Hubble Tension and Quantizing Time Dilation via Spatial Latency

We present four falsifiable empirical predictions of The NavMesh Cosmology, a parameter-free discrete spacetime framework. The model derives cosmic acceleration and spatial kinematics strictly from an inverse relation between the expansion rate and baryonic information density (H...

Addendum to NavMesh Cosmology: A Deterministic Derivation of the Total Baryonic Mass of the Universe via Spatial Computational Latency

In the foundational framework of NavMesh Cosmology, the 10^122 magnitude discrepancy of the Vacuum Catastrophe was resolved by redefining cosmological time as an emergent property of spatial computational latency, yielding a universal Slowdown Ratio (𝑆𝑟≈7.69×10^60) [1]. In this b...

The Phantom Metric: Resolving Dark Matter Anomalies in Galactic Kinematics and Lensing via Parameter-Free Information Thresholds

We present a unified, parameter-free discrete geometric framework that eliminates the necessity of hypothetical Dark Matter halos across macro-scale astrophysical systems. Rather than superimposing arbitrary spherical mass distributions onto flat cosmic structures, we model galac...