Alejandro Rey

Delayed Geometric Response in Cluster Mergers: Predictive Evidence from the Bullet Cluster and Abell 520

When galaxy clusters collide, their gas slows—but does the gravitational field stop with it? We explore a possibility: spacetime retains a memory of its pre-collision configuration, continuing outward before readjusting toward the new central concentration of matter. Using gravit...

Two Readings of One Geometry: The Lensing-Dynamics Discrepancy Solution

Why do gravitational lensing and galactic dynamics disagree? This work shows that light and matter read two distinct projections of the same underlying geometry. We derive a fixed number before comparing to data: 19/15 ≈ 1.267. KiDS, GAMA and HSC catalogues measure 1.2706 ± 0.028...

Dark Halos Predicted from Hydrostatic Structure in Galaxy Clusters

This paper tests whether the radial structure usually attributed to dark halos in galaxy clusters can be predicted directly from hydrostatic geometry. Using LoCuSS profiles, we define the residual mass as M_res = M_hydro - M_gas and show that hydrostatic compactness, C_hydro = M_...

Dark Halos Predicted from the Baryonic Radial Transitions in Galaxies

Galaxy rotation curves show a systematic mismatch between the observed circular field and the field predicted from baryons alone. Standard models close this mismatch by fitting a dark halo. This paper tests a different possibility: that the residual field is not an arbitrary halo...

Dark Halos Predicted from Hydrostatic Structure in Galaxy Clusters

This paper tests whether the radial structure usually attributed to dark halos in galaxy clusters can be predicted directly from hydrostatic geometry. Using LoCuSS profiles, we define the residual mass as M_res = M_hydro - M_gas and show that hydrostatic compactness, C_hydro = M_...

Dark Halos Predicted from the Baryonic Radial Transitions in Galaxies

Galaxy rotation curves show a systematic mismatch between the observed circular field and the field predicted from baryons alone. Standard models close this mismatch by fitting a dark halo. This paper tests a different possibility: that the residual field is not an arbitrary halo...

Dark Halos as Geometric Residuals of the Baryonic Transition

This work tests whether the outer structure usually attributed to galactic dark halos can be described as a geometric residual of the baryonic circular field. Starting from published rotation-curve mass models, the analysis defines q = g_obs − g_bar and m = q/R, anchors each gala...

Apparent Dark Halos as Residual Geometry from the Complete Virial Theorem

What if the apparent dark halo is neither an unobserved mass component nor an ad hoc modified force law, but the radial structure of a bounded gravitational residual slope? Derived from the non-stationary term of the complete scalar Virial Theorem ($\frac{1}{2}\ddot{I} = 2K + W$)...

Part I: Residual Gravity from the Time-Dependent Virial Theorem

Gravity has memory. When matter moves, spacetime curvature does not adjust instantly. It relaxes toward equilibrium over a finite timescale — and that delay is what we have been interpreting as invisible mass. This two-part work derives the effect from first principles and then s...

Dark Matter as Non-Equilibrium Virial Geometry

The dark-matter problem is usually interpreted as evidence for unseen mass. This paper develops a different closure: the missing term may be the finite relaxation of spacetime geometry itself. Starting from the full time-dependent Virial Theorem, the normally discarded non-equili...

Spacetime Has a Relaxation Time: A Constitutive Completion of Weak-Field Gravity

Starting from the retarded solution of linearized General Relativity and coarse-graining over galactic scales, a minimal constitutive law emerges — one that requires no new particles, only a finite relaxation time for the weak-field geometric response. The same framework predicts...

Dark-Sector Phenomena as a Geometric Response: A Constitutive Theory of Weak-Field Gravity

This work develops TIDE as a constitutive theory of weak-field gravity. It explores the idea that spacetime geometry may not always track baryonic matter instantaneously, but can relax toward equilibrium over a finite time. In that interval, residual geometry can be read observat...

Dark-Sector Phenomena as a Geometric Response: A Constitutive Theory of Weak-Field Gravity

This work develops TIDE as a constitutive theory of weak-field gravity. It explores the idea that spacetime geometry may not always track baryonic matter instantaneously, but can relax toward equilibrium over a finite time. In that interval, residual geometry can be read observat...

Lensing Excess as a Geometric Projection: A No-Refit Prediction with \(A_{\rm rel}=19/15\)

We test whether the galaxy-galaxy lensing excess (where light appears to cross more geometry than massive tracers) follows a universal geometric conversion rather than a fitted dark matter halo amplitude. Derived from tensor projection identities, the leading optical closure pred...

Lensing Excess as a Geometric Projection: A No-Refit Prediction with \(A_{\rm rel}=19/15\)

We test whether the galaxy-galaxy lensing excess (where light appears to cross more geometry than massive tracers) follows a universal geometric conversion rather than a fitted dark matter halo amplitude. Derived from tensor projection identities, the leading optical closure pred...

Lensing Excess as a Geometric Projection: A No-Refit Prediction with \(A_{\rm rel}=19/15\)

We test whether the galaxy-galaxy lensing excess (where light appears to cross more geometry than massive tracers) follows a universal geometric conversion rather than a fitted dark matter halo amplitude. Derived from tensor projection identities, the leading optical closure pred...