31 March 2025

The Inconsistency of Relativistic Spacetime Curvature in an Expanding Universe:

March 31, 2025

A fundamental contradiction arises when considering the relativistic interpretation of spacetime curvature alongside the widely accepted notion of cosmic expansion. In general relativity, gravity is not treated as a force but as the manifestation of spacetime curvature caused by massive bodies. However, if spacetime itself is expanding—stretching at cosmological scales—then the very fabric that supposedly curves under gravitational influence is in a state of dynamic transformation.  

This presents an unavoidable paradox: how can spacetime maintain a stable and well-defined curvature around massive bodies if it is simultaneously undergoing large-scale expansion? If spacetime curvature is a tangible, physical distortion as relativity claims, then it should be subject to deformation or attenuation as the fabric of spacetime stretches. This would imply that local gravitational wells formed by massive bodies should either weaken or morph unpredictably over time. Yet, no such effects are observed. Instead, gravitational interactions remain stable and consistent over cosmic timescales, a characteristic that aligns more with a classical gravitational field than a malleable spacetime fabric.  

Moreover, if the curvature of spacetime were truly a fundamental and rigid aspect of general relativity, then the expansion of spacetime should also stretch or distort these curvatures in a manner that would be empirically measurable. However, relativists make no such allowances; they conveniently separate local spacetime curvature (due to gravity) from large-scale cosmic expansion, even though both supposedly affect the same underlying spacetime. This selective treatment of relativistic curvature exposes a significant inconsistency: spacetime curvature is treated as physically real when describing gravity, yet as an abstract mathematical construct when dealing with cosmic expansion.  

In contrast, classical mechanics and ECM provide a more consistent framework where gravity operates through a force-based field that is not inherently tied to the expansion of space itself. This eliminates the paradox of having a dynamically stretching medium that simultaneously holds stable curvatures, reinforcing the idea that the relativistic model of spacetime curvature is an opportunistic construct rather than a physically coherent reality.

The Geometric Inconsistency of Relativistic Gravitational Lensing:

Soumendra Nath Thakur 
March 31, 2025

Steve Brunelle,

You asked, "What the hell?"—so here’s your answer: The "hell" lies in your misunderstanding of my earlier comment.  

You further question the relationship between classical mechanics' interpretation of gravity (as exerted by physical mass) and relativistic space curvature. That misunderstanding leads you to overlook a critical fact: Classical mechanics consistently interprets gravity as a force creating a gravitational field, which in turn bends the path of light. In contrast, relativity proposes that light bends due to the curvature of spacetime—an interpretation that is fundamentally flawed.  

The Geometric Discrepancy in Light Bending

A nuanced geometric explanation exposes the opportunistic nature of relativity’s claim that light bends due to spacetime curvature, while it simultaneously misrepresents the classical mechanics' interpretation of gravitational lensing.  

1. Classical mechanics' gravitational field extends beyond the physical boundary of a massive body, allowing light to be deflected as it travels through the field. This is a geometrically consistent model, as the extended gravitational influence enables light to pass around the massive object and reach the observer.  

2. Relativity's spacetime curvature, however, is in direct physical contact with the massive body itself. Since relativity describes spacetime as a natural fabric that bends under mass, it implies that light should be obstructed rather than deflected—because the massive body would rest directly on the "bent" fabric of spacetime, blocking light from passing through. This presents a geometric contradiction within relativity’s framework.  

Thus, the relativistic model fails to provide a self-consistent geometric explanation for gravitational lensing. Instead, relativists opportunistically rely on the classical mechanics' force-based gravitational field interpretation while claiming to uphold spacetime curvature. This contradiction exposes the flawed nature of relativistic gravitational lensing, which is nothing more than an opportunistic misappropriation of classical mechanics.