White & Black Holes: The Fundamental Theorem Of You скачать в хорошем качестве

White & Black Holes: The Fundamental Theorem Of You

White Holes: The Fundamental Theorem of You By Jason D. Padgett Abstract We present a complete derivation of the Standard Model dual in Quantum Information Holography (QIH), showing that the observable universe is a white hole projection of an underlying entangled black hole field composed of spinning quantum state vectors (QSVs). These QSVs are encoded as angular frequencies, forming a pure derivative structure—the singularity. Through the Fundamental Theorem of Calculus, this structure is integrated via entangled Hawking radiation onto the holographic screen, creating spacetime as an interference pattern. We demonstrate that all physical properties, including mass, spin, and charge, can be predicted from the orientation function θ of QSVs, and we prove that the Schwarzschild radius and particle properties emerge from first principles in QIH. 1. The Information Field and Angular Encoding In QIH, the singularity is not a point but a field of angular frequencies: E_singularity = ℏ ω Where: ℏ is the reduced Planck constant ω is the angular frequency of the QSV Each QSV exists on a Planck-scale qubit (a Bloch sphere) and is defined by a slope angle θ. This encodes probability and motion: v_x = c sin(θ) v_y = c sin(θ) P_up = cos²(θ / 2) P_down = sin²(θ / 2) These expressions define the orientation of spinning light and its measurable outcomes. 2. The Energy Triad: Spin, Frequency, and Mass Energy is unified in QIH: E = h f = ℏ ω = m c² This shows that frequency (h f), spin (ℏ ω), and mass (m c²) are three views of the same information projected differently. The squared speed of light (c²) arises because this projection is self-interfering light—light hitting itself at the speed of light. 3. The Information Field Requires Black Holes From the uncertainty principle: Δx Δp ≥ ℏ / 2 Substituting p = m v and m = ℏ ω / c²: Δx Δω ≥ 1 / (2 c²) This minimum angular frequency uncertainty ensures that black holes must exist wherever the QSV interference is dense. Thus, the singularity is a field of entangled black holes. 4. Schwarzschild Radius from QSV Geometry Mass is defined from angular frequency: m(θ) = ℏ ω(θ) / c² The Schwarzschild radius becomes: R_s(θ) = 2 G m(θ) / c² = 2 G ℏ ω(θ) / c⁴ Let f(θ) = ω(θ), then: R_s(θ) = (2 G ℏ / c⁴) f(θ) This shows that spacetime curvature is a function of the angular geometry of QSVs. 5. White Hole Projection from Calculus Fundamental Theorem of Calculus: ∫ₐᵇ f′(t) dt = f(b) − f(a) In QIH: Singularity = derivative = f′(θ) Universe = integral = f(b) − f(a) So the observable universe is: Universe = ∫ QSV(θ) dθ This defines a white hole: the integrated image of spinning light derivatives. IP TM Copyright 2025 JP 6. Hawking Radiation as Stylus Hawking radiation energy: E_Hawking = h f It connects the singularity to the horizon. One particle of the entangled pair falls in, the other escapes, encoding information. Hawking radiation is the universal read-write head. 7. Particle Mass from QIH From the unification: ω = m c² / ℏ Example (electron mass): m_e = 9.10938356 × 10⁻³¹ kg ω_e = (9.10938356 × 10⁻³¹ × (3 × 10⁸)²) / (1.0545718 × 10⁻³⁴) ω_e ≈ 7.763 × 10²⁰ rad/s This matches the known Compton angular frequency. Each Standard Model particle’s mass can be derived this way. 8. Phase Action and Sum Over Histories Each QSV contributes phase: Δφ = ω Δt Constructive interference: Δφ = 2 π n, where n ∈ ℤ This is Feynman's path integral reformulated in angular geometry. Action becomes: S ∝ ∫ ω(θ) dt 9. Conclusion We have shown: The singularity is a derivative field of spinning QSVs (ℏ ω) The universe is a white hole: an integral (m c²) Hawking radiation (h f) is the stylus between them All physical constants emerge from QSV orientation θ Reality is an interference pattern of entangled light clocks