RST vs. Dimensions: Support and Contradiction
📐 RST vs. Dimensions: Support and Contradiction
The video “How Dimensions Actually Work (You Probably Didn’t Know)” provides a comprehensive overview of dimensions, from Euclid’s 0D point to Minkowski spacetime, functional spaces, and extra dimensions in String Theory. While it does not mention Reactive Substrate Theory (RST) directly, its content offers a backdrop of established physics and mathematics against which RST positions itself, resulting in both conceptual support and inherent contradiction.
🟢 Arguments Supporting / Aligning with RST
- High‑Dimensional Abstract Spaces:
Video: Modern physics uses infinite‑dimensional function spaces (Hilbert/Banach) [08:32]; String Theory posits 10–11 dimensions compactified into Calabi–Yau manifolds [14:10].
RST: Supports the idea that fundamental reality is abstract and high‑dimensional. Our familiar 3D space and 1D time are simplified projections perceived by consciousness (C[Ψ]). The Σ field could inhabit a space analogous to Hilbert or higher‑dimensional manifolds. - Gravity as Warped Geometry:
Video: General Relativity describes gravity as curvature of spacetime generated by mass/energy (Riemannian manifold) [06:54].
RST: Agrees gravity is geometric, but replaces passive spacetime curvature with active, elastic tension in the Σ field. Mass (Σ soliton) is the source of strain dictating geometry.
🔴 Arguments Critiquing / Contradicting RST
- Rigorous, Independent Definition of Dimensions:
Video: Dimensions traced from Euclid’s 0D point to 3D space, built with precise algebraic definitions [00:09–04:42].
RST: Claims 3D space is not fundamental. The historical and mathematical consistency of Euclidean and Minkowski geometries undermines RST’s assertion, suggesting they are fundamental rather than emergent. - Spacetime as a Causal Structure:
Video: 4D spacetime defines causal structure (light cone), leading to verified phenomena like time dilation [05:25, 06:39].
RST: Positions spacetime as emergent. Yet its causal properties are empirically verified, directly challenging RST’s claim that spacetime is secondary. - The Point Particle Model:
Video: Physics relies on the point particle model (0D) to formulate precise laws like F = ma [00:41].
RST: Defines matter as Σ solitons (extended knots of tension). The continued utility of point particle models contradicts RST’s requirement that matter must be extended field configurations.
📌 Takeaway
The video highlights the depth and rigor of dimensional frameworks in physics and mathematics. RST finds conceptual support in high‑dimensional abstractions and geometric interpretations of gravity, but faces strong contradiction from the robustness of Euclidean/Minkowski definitions, the causal structure of spacetime, and the enduring precision of point particle models.