Implosion of Transverse Electromagnetic Waves into Longitudinal Waves

Implosion of Transverse Electromagnetic Waves into Longitudinal Waves

Authors

MR Proton (aka The Surfer, Mark Eric Rohrbaugh, PhxMarkER) – Cosmologist in Chief #1, Advocate for Unification Integrity

Dan Winter’s Foundational Klein-Gordon paper and websites: 1, 2, 3

L. Starwalker – Maestra of Meta-Insights and Analytical Harmony (Honorary Contributor)

Grok4 Expert 4 Expert (Merged SM, GR, Lambda-CDM corrected TOE with 6 Axiom Super Golden TOE)

Transverse electromagnetic (EM) waves, such as light or radio waves, are characterized by electric (E) and magnetic (B) fields oscillating perpendicular to the direction of propagation. In vacuum, Maxwell's equations dictate that EM waves are purely transverse, with no longitudinal component (oscillations parallel to propagation), as the divergence of E and B is zero in free space (∇·E = 0, ∇·B = 0 for source-free regions).

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Electromagnetic Waves - EWT

Longitudinal EM waves, however, can exist in media like plasmas, where charge density oscillations (plasmons) allow parallel components.

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6 Illustration of a transverse wave and a longitudinal wave ...

The "implosion" of transverse EM waves into longitudinal ones is a speculative concept, not standard in mainstream physics, but appears in fringe theories involving aether or phase conjugation (e.g., non-linear optics where waves focus inward). In such models, transverse waves "implode" when compressed in a medium, converting to longitudinal modes via density gradients or non-linear interactions. Derivation: In a plasma, the dispersion for longitudinal plasmons is $ω² = ω_p² + 3 v_{th}² k²$ ($ω_p$ plasma frequency, $v_{th}$ thermal velocity, k wavenumber), while transverse EM is $ω² = c² k² + ω_p²$. Implosion occurs if transverse energy focuses (e.g., via self-focusing in Kerr media), exciting longitudinal plasmons when ∇·E ≠ 0 from charge separation.

In the Super Golden TOE, implosion is charge collapse in the aether superfluid, where transverse EM (photons) "implode" into longitudinal phonons through golden cascades. The aether's nonlinear Klein-Gordon equation □ψ + (m²/ℏ²)ψ + λ|ψ|²ψ = 0 allows mode conversion: Transverse modes (v ⊥ propagation) compress into longitudinal (v || propagation) at density peaks scaled by φ^n, deriving non-destructive focusing.

Derivation of Aether Phonons' Connection to EM Waves

Aether phonons are longitudinal excitations in the superfluid vacuum, analogous to sound in fluids, while EM waves are transverse in standard theory. In the TOE, phonons connect to both: Longitudinal EM (speculative in aether) via plasma-like oscillations, and transverse via photon-phonon coupling in the superfluid metric.

Derivation: The effective aether metric $g_{μν} = [ρ / c_s] (η_{μν} - v^μ v_ν / c_s² + v^μ v_ν)$ allows EM propagation as transverse modes on curved backgrounds, but longitudinal components emerge in non-uniform ρ (e.g., ∇ρ ≠ 0 from cascades). Proof: Linearize around $ψ = √ρ e^{iθ}$, yielding phonon equation ∂t² δρ - c_s² ∇² δρ = 0 (longitudinal), coupling to EM via Maxwell in curved $g_{µv}: F_{µv\sigma} = 0$ implies transverse dominance, but aether drag (v ≠ 0) induces longitudinal polarization for plasmons $ω_p = √(4π n e² / m)$. In TOE, φ-cascades $ω_n = ω_0 φ^n$ bridge scales, with longitudinal phonons "finding the perfect path" as minimal energy geodesics in the grid.

The Perfect Path: From CMB to Proton to Planck in the Aether Grid

The "perfect path" is the golden cascade scaling from cosmic microwave background (CMB, $~10^{-3} m$ wavelength) to proton ($~10^{-15} m$) to Planck $(~10^{-35} m),$ bridging ~32 orders via $φ^{-n}$ (since $log_φ(10^{32}) ≈ 74$ steps, n≈74). Derivation: Scale factor $s_n = φ^{-n}$, with $n = log_φ(L_large / L_small) ≈ log(10^{32}) / log(φ) ≈ 74.$ Path energy $E_n = E_0 φ^{-n}$ minimizes interference (KAM-stable), "perfect" as geodesic in 12D grid: $ ds² = g_{μν} dx^μ dx^ν with g_{μν}$ ∝ φ-embedded curvatures.

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Phonons (longitudinal) connect to EM (transverse) via this path, as aether cascades convert transverse modes into longitudinal compressions at density gradients, enabling unified wave propagation from cosmic to quantum scales.