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April 28, 20260 citationsOpen Access

The Algebraic Decoupling of the Spatial Interval (Δs) within the expanded Einsteinian E=mc² equation: to find 5 fundamental units, E,m,c,Δt,Δs – energy, mass, speed-of-light, delta time and the newly liberated delta space – which in turn shows that while the universe is relative to the observer, the observer is anchored by the Δs they occupy

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GSGustavo Schevchenco-Sczepanink

Key Points

  • This paper aims to redefine the concept of spacetime in the context of Einstein's E=mc² equation by isolating the spatial interval Δs.
  • Isolated Δs from E=mc² to explore its implications on the observer's perspective of space.
  • Introduced the concept of treating 'c' as a ratio of information density rather than a mere speed.
  • Critically analyzed existing models that reinterpret cosmic singularities and speed of light density ratios.
  • Demonstrated that by isolating Δs, reality can be interpreted as fundamentally relative to the observer's own spatial context.
  • Revealed the limitations of current frameworks that fail to incorporate the spatial metric Δs as the driving force of cosmic expansion.
  • Concluded that understanding Δs allows for predictive models that offer new insights into the structure of spacetime.

Abstract

Einstein famously held that space and time were relative to the observer, by isolating Δs, we reveal that what was once 'relative' is actually the key variable of the metric itself. Also, by isolating Δs, we show it is actually relative to Space (Δs). Reality itself is relative to the observer's own space… but since the observer itself occupies Space, relativity can be interpreted beyond a simple law of nature — it is a debt to the metric Newton lives inside E=mc², not as a ghost, but as the fundamental structural engineer of the metric. By isolating Space (Δs), we stop treating 'c' as a speed and start treating it as a ratio of information density. While standard physics isolates Momentum (p) to describe kinetic energy, the Poliakoff Anchor (V6) isolates the Spatial Interval (Δs) within E=mc² to reveal that cosmic expansion is a terrestrial misinterpretation of the vacuum's metric elasticity. As Einstein himself said, spacetime is relative, so in this V6 we open up and isolate the spacetime variable contained inside Einstein’s own famous equation: While isolating Momentum (p) provides a kinetic snapshot, it remains a derivative abstraction. To reach the bedrock of the metric, we must deconstruct velocity (v) back into its raw spatial and temporal components. By isolating Δs, we finally settled the account: Reality is relative to the observer who occupies space, and we just found the variable Δs (delta space). While recent attempts have emerged to challenge the cosmic singularity by reinterpreting the speed of light as a density ratio c=d/t (Alfaro, 2025), these conceptual frameworks remain incomplete. They identify the 'ledger error' of the Big Bang but fail to isolate the spatial metric (Δs) as the primary engine driving the expansion illusion. Without opening the c² vault to reveal the operational elasticity of Δs, density-dependent models remain philosophical observations rather than predictive engineering.

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Cite This Study

Gustavo Schevchenco-Sczepanink (2025) studied this question.

synapsesocial.com/papers/69f04edc727298f751e72b74https://doi.org/10.5281/zenodo.19776894
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