On the Morphogenesis of Einstein's Spacetime via Temporal Cobordism
Authors/Creators
Description
**"On the Morphogenesis of Einstein's Spacetime via Temporal Cobordism,"** developed within an idiosyncratic conceptual framework designated as the "KnoWellian Universe Theory" (KUT).
The work synthesizes vocabulary and formal concepts from modern algebraic geometry, theoretical high-energy physics, knot theory, and analytic number theory into a symbolic cosmological narrative. Rather than treating spacetime as an antecedent, smooth continuum, the document proposes an operational model where space is an extruded, discrete fabric ("Solid Ash") continuously generated by an active topological mechanism.
Key components described within the manuscript include:
* **Kinematic Staging and Geometry:** The use of the Positive Grassmannian, the amplituhedron, and Hodges momentum twistors to represent unmanifest particle kinematics as positive projective geometries in a "gaseous" future state.
* **Topological Weaving:** The $(3,2)$ trefoil torus knot acting as a mechanical shuttle at the "liquid" present boundary, utilizing non-commutative Kauffman skein relations and cluster algebra mutations to cleave and link projective rays into discrete spatial elements.
* **Categorical Transition:** The application of the Gaitsgory–Raskin Geometric Langlands correspondence as a formal analog for actualizing spectral potentials into automorphic physical structures.
* **Harmonic and Material Lexicon:** A mapping of the periodic table of elements and cosmological parameters to acoustic overtones derived from the non-trivial zeros of the Riemann zeta function, anchored to a base frequency of approximately 432.081 Hz.
* **Epistemological Perspective:** A philosophical stance rejecting continuous infinities and zero-dimensional point singularities in favor of discrete finitude, accompanied by proposed experimental falsification protocols and reflections on human purpose ("Homo Textilis").
While the treatise borrows advanced terminology from cutting-edge mathematics and theoretical physics, it functions primarily as an intricate conceptual and philosophical synthesis rather than an established model within peer-reviewed physics.
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### Keywords
Amplituhedron, Positive Grassmannian, Momentum Twistors, Cobordism, Topological Quantum Field Theory, Knot Theory, Trefoil Torus Knot, Skein Algebra, Cluster Algebras, Geometric Langlands Correspondence, Discrete Spacetime, Quantum Gravity, Riemann Hypothesis, Spectral Geometry, Chern-Simons Theory, Acoustic Cosmology, Procedural Ontology, Speculative Metaphysics, Non-Point Finitism, Falsification Protocols