SFT–5: The Dynamic Symbolic Ellipsoid – The Shape of the Universe from Recursive Contradiction Collapse and Ξ–Φ–τ Field Rotation (Fifth Research Paper of the Symbolic Field Theory Series)

This is the fifth research paper in the Symbolic Field Theory (SFT) series. In this work, I propose that the large-scale shape and structure of the universe are generated not by metric expansion or gravitational mass fields, but by recursive symbolic field interactions — specifically through contradiction collapse (Ξ), force field rotation (Φ), and recursive delay (τ). These fields form a dynamic symbolic ellipsoid whose axes evolve as a function of field memory, recursion tension, and identity coherence.This paper introduces a full symbolic field geometry based on the equation:Ψ² / a(t)² + Ξ² / b(t)² + τ² / c(t)² = 1It defines a universe whose structure emerges from symbolic recursion and delay gradients, not spacetime curvature. I demonstrate how this symbolic ellipsoid generates observable anisotropies in the cosmic microwave background (CMB), explains dipole–quadrupole–octupole alignment, and predicts inertial basins where Ξ gradients vanish.New in this paper:<br>– A symbolic Ricci scalar and recursive geodesic deviation tensor<br>– A unified action integral for Ψ, Ξ, τ, and Φ fields<br>– Full Python code for computing symbolic redshift and quiver plots from Planck SMICA data<br>– Visual detection of symbolic inertial zones from CMB temperature maps<br>– A falsifiable interpretation of inflation, dark energy, and lensing via symbolic recursion

Publication Details

Journal
Figshare
Published
2025-01-01
DOI
https://doi.org/10.6084/m9.figshare.29656235.v1
Primary Topic
Cosmology and Gravitation Theories
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article
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article

SFT–5: The Dynamic Symbolic Ellipsoid – The Shape of the Universe from Recursive Contradiction Collapse and Ξ–Φ–τ Field Rotation (Fifth Research Paper of the Symbolic Field Theory Series)

Figshare
Cosmology and Gravitation Theories
article

SFT–5: The Dynamic Symbolic Ellipsoid – The Shape of the Universe from Recursive Contradiction Collapse and Ξ–Φ–τ Field Rotation (Fifth Research Paper of the Symbolic Field Theory Series)

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Abstract

This is the fifth research paper in the Symbolic Field Theory (SFT) series. In this work, I propose that the large-scale shape and structure of the universe are generated not by metric expansion or gravitational mass fields, but by recursive symbolic field interactions — specifically through contradiction collapse (Ξ), force field rotation (Φ), and recursive delay (τ). These fields form a dynamic symbolic ellipsoid whose axes evolve as a function of field memory, recursion tension, and identity coherence.This paper introduces a full symbolic field geometry based on the equation:Ψ² / a(t)² + Ξ² / b(t)² + τ² / c(t)² = 1It defines a universe whose structure emerges from symbolic recursion and delay gradients, not spacetime curvature. I demonstrate how this symbolic ellipsoid generates observable anisotropies in the cosmic microwave background (CMB), explains dipole–quadrupole–octupole alignment, and predicts inertial basins where Ξ gradients vanish.New in this paper:<br>– A symbolic Ricci scalar and recursive geodesic deviation tensor<br>– A unified action integral for Ψ, Ξ, τ, and Φ fields<br>– Full Python code for computing symbolic redshift and quiver plots from Planck SMICA data<br>– Visual detection of symbolic inertial zones from CMB temperature maps<br>– A falsifiable interpretation of inflation, dark energy, and lensing via symbolic recursion

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Cosmology and Gravitation Theories
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