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Novel, Symbolic, Differential Spaces of Light: Insights into Cosmology and Special Relativity (The Speed of Light is Transcendental)

Authors: Emmerson, Parker;

Novel, Symbolic, Differential Spaces of Light: Insights into Cosmology and Special Relativity (The Speed of Light is Transcendental)

Abstract

Abstract: A differential velocity space is defined by: $$ \begin{aligned} & D\left[D\left[D\left[D\left[D\left[D\left[\frac{\sqrt{l^2 \alpha^2-x^2 \gamma^2+2 r x \gamma \theta-r^2 \theta^2}}{\alpha}, l\right], x\right], r\right], \gamma\right], \theta\right], \alpha\right]- \\ & \frac{2 \pi \sqrt{l^2 \alpha^2-x^2 \gamma^2+2 r x \gamma \theta-r^2 \theta^2}}{\alpha(\alpha \gamma \theta)^{1 / 3}}=\frac{\sqrt{-c^2 l^2 \alpha^2+c^2 x^2 \gamma^2-2 c^2 r x \gamma \theta+c^2 r^2 \theta^2+c^2 l^2 \alpha^2 \sin [\beta]^2}}{\sqrt{-1 \cdot l^2 \alpha^2+x^2 \gamma^2-2 . r x \gamma \theta+r^2 \theta^2+l^2 \alpha^2 \sin [\beta]^2}} \end{aligned} $$ where the l\[Alpha], x\[Gamma] and r\[Theta] are arc lengths of arbitrary location, and Sqrt[l^2 \[Alpha]^2-x^2 \[Gamma]^2+2 r x \[Gamma] \[Theta]-r^2 \[Theta]^2]/\[Alpha]=h, a height extending in corresponding connection to the difference formula: \[Theta] r == \[Gamma] x - \[Alpha] Sqrt[l^2-h^2]. The solutions to the resulting equation yield evidence that for such a space, the resulting specific magnitudes are at play. The formula indicates that the difference between the Instantaneous Velocity and the Geometric Mean Velocity is equivalent to the Phenomenological Velocity. Note: The resulting solution to the c variable contains coefficients that are within the ecological scale of human measurements of the, "speed of light," when using material instruments, and these are produced entirely from multiplying coefficient harmonics algebraically and from basically scratch difference formulations. Ordering the difference as above yields such a scaling of the coefficients, while ordering it any other way yields solutions to c that contain coefficients of an extraordinary magnitude, some 10^175. Only one of said solutions is delineated below for illustration. This is a piece of observational evidence indicative that we are present in a realm that orders the difference of the meanings of velocities in the a manner of the former solutions, not the latter. The solutions are capable of being graphed and do produce form. Note: The solution to the speed of light herein contains coefficients that are integer multiples of Pi, therefore it can be safely demonstrated now that the speed of light is indeed, "transcendental," as the architecture of the solution is dependent only on distance and angular variables and coefficients based on the transcendental number, Pi.

Keywords

computational modeling, gestalt cosmology, wave function, geometry, electromagnetism, symmetry breaking, canonical quantization, wave propagation speed, fermions, principal fiber bundle, quantum electrodynamics, dark energy, Hubble constant, quantum mechanics, Lorentz windings, instantaneous velocity, geometric mean, grand unified theory, space-time, material, oscillatory universe, velocity, cardinal numbers, superstring theory, moebius strip, quantum teleportation., difference, algebra, Einstein-Rosen bridge, Casimir effect, path integral formulation, inertial frames, universe expansion, quantum chromodynamics, particle physics, solution, ordering, black hole thermodynamics, special relativity, quantum flux, Hawking radiation, Reissner-Nordström metric, string duality, quantum decoherence, topological defect, cosmology, speed of light, asymptotic space, relativity, quantum cosmology, photonics, wave interference, Heisenberg uncertainty principle, vacuum energy, bosons, zero-point energy, ordinal mechanics, antimatter, interacting fields, Brans–Dicke theory, Gaussian curvature, Higgs field, baryonic matter, delineation, illustration, quantum harmonic oscillator, wave-particle duality, ecological optics, ecological physics, geometric algebra, Galilean Transformation, Schrödinger's cat, photon sphere, Huygens principle,, Compton scattering, radius, invariant matrix, symmetry groups, topology, leptons, fundamental forces, time dilation, quantum spin, infinite series, quantum entanglement, formula, quanta, arc length, coefficient, non-Euclidean geometry, angle, harmonics, local Lorentz covariance, cosmological parameters, average velocity, transformation, differential equations, space, Redshift, Pauli's exclusion principle, Blueshift, gauge theory, multivariable calculus, orbifold, Klein-Gordon equation, gestalt

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