Novel, Symbolic, Differential Spaces of Light: Insights into Cosmology and Special Relativity
Creators: name: Emmerson, Parker
Publisher: name: Zenodo
Year: 2023
Subjects: algebra
Physical laws
Theoretical framework
Fundamental constants
Dimensional analysis
Non-linear relationship
Proportional relationship
Interchangeable variables
Velocity spectrum
Unique solution
General solution
Singular solution
Systematic order
Complex solutions
Geometric solutions
Algebraic solutions
Coefficient harmonics
Exponential functions
Trigonometric functions
Positional coordinates
Velocity calculation
Differential calculus
Form production
Graphing
Latter solutions
Former solutions
Realm
Observational evidence
Illustration
Extraordinary magnitude
Magnitude order
Scaling
Difference formulation
Algebraic manipulation
Material instruments
Speed of light
Human measurements
Coefficients
Magnitude play
Harmonic Coefficient
Instantaneous velocity difference
Specific magnitudes
Evidence
Phenomenological velocity
Geometric mean velocity
Instantaneous velocity
Difference formula
Connection
Arc length
Arbitrary location
Differential velocity space

description: Abstract: A differential velocity space is defined by:
$$
\begin{aligned}
& D\left[D\left[D\left[D\left[D\left[D\left[\frac{\sqrt{l^2 \alpha^2-x^2 \gamma^2+2 r x \gamma \theta-r^2 \theta^2}}{\alpha}, l\right], x\right], r\right], \gamma\right], \theta\right], \alpha\right]- \\
& \frac{2 \pi \sqrt{l^2 \alpha^2-x^2 \gamma^2+2 r x \gamma \theta-r^2 \theta^2}}{\alpha(\alpha \gamma \theta)^{1 / 3}}=\frac{\sqrt{-c^2 l^2 \alpha^2+c^2 x^2 \gamma^2-2 c^2 r x \gamma \theta+c^2 r^2 \theta^2+c^2 l^2 \alpha^2 \sin [\beta]^2}}{\sqrt{-1 . l^2 \alpha^2+x^2 \gamma^2-2 \cdot r x \gamma \theta+r^2 \theta^2+l^2 \alpha^2 \sin [\beta]^2}}
\end{aligned}
$$
where the l $\alpha, x y$ and $r \theta$ are arc lengths of arbitrary location, and $\frac{\sqrt{l^2 \alpha^2-x^2 \gamma^2+2 r \times \gamma \theta-r^2 \theta^2}}{\alpha}=h$, a height extending in corresponding connection to the difference formula: $\theta r==\gamma x-\alpha \sqrt{l^{\wedge} 2-h^{\wedge} 2}$. 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 $10^{\wedge} 175$. 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.