Unified Field Theory
中文

Core Equations

The 18 core equations of Zhang Xiangqian's unified field theory, and the derivation of four fundamental forces from the universal unification equation.

18 Core Equations

  1. Universal Unification Equation
    P⃗=(C⃗−V⃗)M\vec{P} = (\vec{C} - \vec{V})M

    Differentiating with respect to time yields the four fundamental forces

  2. 3D Helical Spacetime Equation

    Describes space diverging from matter in a cylindrical helix pattern

  3. Magnetic Field Definition
    B⃗=V⃗×E⃗c2\vec{B} = \frac{\vec{V} \times \vec{E}}{c^2}

    Magnetic field is a relativistic effect of a moving electric field

  4. Space Wave Equation

    Describes the wave propagation properties of spatial displacement

  5. Spacetime Unification
    R⃗=C⃗ t\vec{R} = \vec{C} \, t

    Spatial displacement vector equals vector speed of light times time

  6. Moving Gravitational Field Produces EM Fields

    A moving gravitational field generates electric and magnetic field components

  7. Electric Field Definition Equation

    Electric field is the linear velocity component of helical spatial motion

  8. UFT Energy Equation

    Energy expression derived from Guoke momentum

  9. Changing Magnetic Field Produces Gravitational and Electric Fields
    dB⃗dt=−A⃗×E⃗c2−V⃗×dE⃗dtc2\frac{d\vec{B}}{dt} = -\frac{\vec{A} \times \vec{E}}{c^2} - \frac{\vec{V} \times \frac{d\vec{E}}{dt}}{c^2}

    A changing magnetic field produces not only an electric field but also a gravitational field

  10. Light-Speed Vehicle Dynamics
    F⃗=dP⃗dt=(C⃗−V⃗)dmdt\vec{F} = \frac{d\vec{P}}{dt} = (\vec{C} - \vec{V})\frac{dm}{dt}

    Dynamics equation when mass is changing

  11. Mass Definition Equation

    Mass = number of spatial displacement lines per unit solid angle

  12. Magnetic Vector Potential Equation

    Describes the relationship between magnetic vector potential and spatial motion

  13. Gravitational Field Definition

    Gravitational field is the centripetal acceleration component of helical spatial motion

  14. Electric Charge Definition

    Electric charge relates to the divergence properties of spatial displacement lines

  15. Static Momentum
    P⃗static=m′C⃗ ′\vec{P}_{\text{static}} = m' \vec{C}\,'

    Guoke momentum of an object at rest

  16. Moving Momentum
    P⃗moving=m(C⃗−V⃗)\vec{P}_{\text{moving}} = m(\vec{C} - \vec{V})

    Guoke momentum of a moving object

  17. Changing Gravitational Field Produces Electric Field

    Time variation of a gravitational field induces an electric field

  18. Accelerating Positive Charge Produces Reverse Gravitational Field

    An accelerating positive charge produces a gravitational field in the opposite direction to normal gravity around it

Grand Unification Derivation

The most central achievement of the unified field theory is differentiating the universal unification equation P⃗=(C⃗−V⃗)M\vec{P} = (\vec{C} - \vec{V})M with respect to time, yielding four terms, each corresponding to one of the four fundamental forces:

dP⃗dt=d[(C⃗−V⃗)M]dt\frac{d\vec{P}}{dt} = \frac{d\left[(\vec{C} - \vec{V})M\right]}{dt}

Expanding using the product rule yields four terms:

1
dmdt⋅C⃗\frac{dm}{dt} \cdot \vec{C}

→ Electric force: rate of mass change times vector speed of light, producing electric field force

2
dmdt⋅(−V⃗)\frac{dm}{dt} \cdot (-\vec{V})

→ Magnetic force: rate of mass change times negative velocity, producing magnetic field force

3
dC⃗dt⋅M\frac{d\vec{C}}{dt} \cdot M

→ Nuclear force: rate of change of vector speed of light times mass, producing nuclear force

4
d(−V⃗)dt⋅M\frac{d(-\vec{V})}{dt} \cdot M

→ Gravitational force (inertial force): rate of change of negative velocity times mass, producing gravitational field force (equivalent to inertial force)

This is the essence of grand unification: the four seemingly different fundamental forces are actually different terms that naturally emerge when differentiating the same equation with respect to time. They are not independent forces, but different aspects of the same spatial motion.

Note: The equations and derivations above have not undergone academic peer review. This site presents Zhang Xiangqian's theoretical system for reference and independent verification by interested researchers. We make no judgment on the correctness of the theory. Symbol conventions may differ from mainstream physics literature.

Continue Reading

Theory Overview →
Review the overall framework of the unified field theory
Experimental Verification →
Learn how Zhang verified theoretical predictions through experiments