EXPLANATION OF WAVE PARTICLE

DUALITY AND INTERFERENCE

IN CONTEXT TO THE

MASS OF PHOTON

N. S. AGARWAL

NEW QUANTUM THEORY

Raises the curtain from the following Mysteries:

- Wave Particle Duality

- Interference & Diffraction

- Polarization

- Mass of Photon

- Formation of Electromagnetic Waves

- Refraction

PHOTON STRUCTURE

ANGULAR MOMENTUM OF PHOTONDIRECTION KEEP CHANGING WITH SPIN

MOMENTUMS ACTING ON PHOTONRESULTANT MOMENTUM

- Linear Momentum of Photon in X – Axis : mt c

- Angular Momentum at θ from X – Axis : 2𝜋 ƒ mt r2

- Total Momentum in X – Axis : mt c + 2𝜋 ƒ mt r2 Cos θ

- Total Momentum in Y– Axis : 2𝜋 ƒ mt r2 Sin θ

- Resultant Momentum in φ Direction

p φ = mt [ 4𝜋 2r 4f 2 + 4𝜋 ƒ r2 c Cos θ + c2 ] (-1/2)

- The Angle of Resultant Momentum from X – Axis is given by following equation:

tan φ = (2𝜋 ƒ mt r2 Sin θ ) / (mt c + 2𝜋 ƒ mt r2 Cos θ )

The Resultant Momentum of continuously changing direction from 0 to 3600 results in raising the Photon up and down in one wave cycle therefore the Photon particle move in the path of wave.

WAVE PARTICLE DUALITYWAVE FORMATION BY PHOTON

CONSTRUCTIVE INTERFERENCE

DESTRUCTIVE INTERFERENCE

POLARIZATION

MASS OF PHOTON BY

SPECIAL RELATIVITY

Total Energy of Photon E = mrel c2

Total Energy = Linear Kinetic Energy +

Rotational Kinetic Energy +

Energy due to Mass of Photon

E = ½ mt c2 + ½ I ω2 + mt c2

= 3/2 mt c2 + 2 𝜋2mt r2f2

Mass of Photon mt = 2 E / (3 c2 + 4 𝜋2mt r2f2 )

MASS OF PHOTON FROM TOTAL

MOMENTUM OF PHOTON

Total Energy of Photon E = [(pφ cφ)2 + (mt c2)2]-1/2

pφ = mt [4𝜋 2r 4f 2 + 4𝜋 ƒ r2 c Cos θ + c2] (-1/2)

Therefore True Mass of Photon

mt = E / [cφ2(4𝜋 2r 4f 2 + 4𝜋 ƒ r2 c Cos θ+ c2 ) + c4]

True Mass of Photon can be calculated from the aboveequation and also from the equation given in the previousslide (assuming the value of ‘r’ to be negligibly small).

REFERENCES

1. Agarwal, N.S. (2016) Wave Particle Duality & Interference

Explained. Journal of Modern Physics, 7, 267-276.

http://dx.doi.org/10.4236/jmp.2016.73026

2. Agarwal, N.S. (2015) Experimental Proof of Mass in Photon.

Journal of Modern Physics, 6, 627-633.

http://dx.doi.org/10.4236/jmp.2015.65068

3. Agarwal, N.S. (2012) New Quantum Theory. Indian Journal of

Science and Technology, 5, 3612-3617.