Graviton Induced Nuclear Fission through Electromagnetic Wave Flux Phil Russell, * Jerry Montgomery

Similar documents
A Reconsideration of Matter Waves

Test on Nuclear Physics

The structure of the atoms

M12/4/PHYSI/HPM/ENG/TZ1/XX. Physics Higher level Paper 1. Thursday 10 May 2012 (afternoon) 1 hour INSTRUCTIONS TO CANDIDATES

Quantum Theory of the Atomic Nucleus

Quantum Mechanics Chapter 1.5: An illustration using measurements of particle spin.

Quantum Numbers and Rules

APPENDIXES. Let the following constants be established for those using the active Mathcad

Notes on wavefunctions II: momentum wavefunctions

Part C : Quantum Physics

UNIT-1 MODERN PHYSICS

Introduction. Learning Objectives. On completion of this chapter you will be able to:

7. QUANTUM THEORY OF THE ATOM

SECTION 1.10: DIFFERENCE QUOTIENTS LEARNING OBJECTIVES

Preview from Notesale.co.uk Page 2 of 42

DUAL NATURE OF RADIATION AND MATTER

Derivatives of Exponentials

Phase space in classical physics

Physics Teach Yourself Series Topic 15: Wavelike nature of matter (Unit 4)

Why gravity is not an entropic force

nucleus orbital electron wave 2/27/2008 Quantum ( F.Robilliard) 1

MVT and Rolle s Theorem

Problem Set 4: Whither, thou turbid wave SOLUTIONS

A = h w (1) Error Analysis Physics 141

2.2 WAVE AND PARTICLE DUALITY OF RADIATION

Differential Calculus (The basics) Prepared by Mr. C. Hull

QUESTIONS ) Of the following the graph which represents the variation of Energy (E) of the photon with the wavelength (λ) is E E 1) 2) 3) 4)

10.1 VIBRATIONAL RELAXATION *

Analysis: The speed of the proton is much less than light speed, so we can use the

CHAPTER 4 QUANTUM PHYSICS

Last lecture (#4): J vortex. J tr

REVIEW LAB ANSWER KEY

2.8 The Derivative as a Function

Chemistry. Slide 1 / 63 Slide 2 / 63. Slide 4 / 63. Slide 3 / 63. Slide 6 / 63. Slide 5 / 63. Optional Review Light and Matter.

Problem Set 3: Solutions

Lab 6 Derivatives and Mutant Bacteria

6.4: THE WAVE BEHAVIOR OF MATTER

1 + t5 dt with respect to x. du = 2. dg du = f(u). du dx. dg dx = dg. du du. dg du. dx = 4x3. - page 1 -

1 The concept of limits (p.217 p.229, p.242 p.249, p.255 p.256) 1.1 Limits Consider the function determined by the formula 3. x since at this point

Continuity and Differentiability Worksheet

Krazy Katt, the mechanical cat

3.4 Worksheet: Proof of the Chain Rule NAME

Chapter 2 Ising Model for Ferromagnetism

How to Find the Derivative of a Function: Calculus 1

Dual Nature of matter and radiation: m v 1 c

Notes on Renormalization Group: Introduction

2.1 THE DEFINITION OF DERIVATIVE

5.74 Introductory Quantum Mechanics II

Dynamics and Relativity

THE IDEA OF DIFFERENTIABILITY FOR FUNCTIONS OF SEVERAL VARIABLES Math 225

Problem Set 4 Solutions

The Doppler Factor and Quantum Electrodynamics Basics in Laser-Driven Light Sailing

Solution for the Homework 4

Lecture: Experimental Solid State Physics Today s Outline

2.3 Product and Quotient Rules

lecture 26: Richardson extrapolation

Teaching Differentiation: A Rare Case for the Problem of the Slope of the Tangent Line

The Foundations of Chemistry 1

Derivation Of The Schwarzschild Radius Without General Relativity

Average Rate of Change

Work and Energy. Introduction. Work. PHY energy - J. Hedberg

Tutorial 2 (Solution) 1. An electron is confined to a one-dimensional, infinitely deep potential energy well of width L = 100 pm.

5. (a) Find the slope of the tangent line to the parabola y = x + 2x

Quantization of electrical conductance

Assignment Solutions- Dual Nature. September 19

The Laws of Thermodynamics

Numerical Differentiation

Problem Solving. Problem Solving Process

NUMERICAL DIFFERENTIATION. James T. Smith San Francisco State University. In calculus classes, you compute derivatives algebraically: for example,

Polynomial Interpolation

38. Photons and Matter Waves

HARMONIC ALLOCATION TO MV CUSTOMERS IN RURAL DISTRIBUTION SYSTEMS

Section 2: The Derivative Definition of the Derivative

The Electromagnetic Spectrum. Today

Part 2: Introduction to Open-Channel Flow SPRING 2005

Reminder: Exam 3 Friday, July 6. The Compton Effect. General Physics (PHY 2140) Lecture questions. Show your work for credit.

1 Limits and Continuity

Function Composition and Chain Rules

Main Points: 1. Limit of Difference Quotients. Prep 2.7: Derivatives and Rates of Change. Names of collaborators:

Hydrogen triggered exothermal reaction in uranium metal

The Electron in a Potential

SECTION 3.2: DERIVATIVE FUNCTIONS and DIFFERENTIABILITY

Physics 121, April 1, Equilibrium. Physics 121. April 1, Physics 121. April 1, Course Information. Discussion of Exam # 2

Symmetry Labeling of Molecular Energies

4.2 - Richardson Extrapolation

Notes: Most of the material in this chapter is taken from Young and Freedman, Chap. 12.

Preface. Here are a couple of warnings to my students who may be here to get a copy of what happened on a day that you missed.

Numerical Analysis MTH603. dy dt = = (0) , y n+1. We obtain yn. Therefore. and. Copyright Virtual University of Pakistan 1

Nuclear Physics 2. D. atomic energy levels. (1) D. scattered back along the original direction. (1)

SIMG Solution Set #5

1. For d=3,2 from ε<< ε F it follows that ετ >> e-e h, i.e.,

Math 34A Practice Final Solutions Fall 2007

Technology-Independent Design of Neurocomputers: The Universal Field Computer 1

f a h f a h h lim lim

A NEW INTERPRETATION OF PHOTON. Kunwar Jagdish Narain

Material for Difference Quotient

ATOMIC PHYSICS PREVIOUS EAMCET QUESTIONS ENGINEERING

Extracting Atomic and Molecular Parameters From the de Broglie Bohr Model of the Atom

3. Using your answers to the two previous questions, evaluate the Mratio

Reflection Symmetries of q-bernoulli Polynomials

Transcription:

Graviton Induced Nuclear Fission troug Electromagnetic Wave Flux Pil Russell, * Jerry Montgomery Nort Carolina Central University, Duram, NC 27707 Willowstick Tecnologies LLC, Draper, UT 84020 (Dated: June 30, 2007) We explore te possibility of using gravitons to induce nuclear fission in atomic nuclei. Strong fluctuations of te gravitational field ave been observed in te area of ig energy pysics. Te ranges of tese fluctuations are on te order of~10-14 cm. If tese fluctuations can be attributed to te frequency of ig energy particles, ten it follows tat electromagnetic waves migt be stimulated to produce ig energy gravitons, or a graviton pulse, capable of inducing nuclear fission. *Electronic address: cyborlog@yaoo.com Electronic address: jrm@willowstick.com

Introduction We begin wit a brief description of a gravitational penomenon noticed in ig energy pysics: Some pysicists tink tat general relativity will be useful on te microscale of ig-energy pysics (were te effects of gravity are usually ignored), e.g., strong fluctuations of te gravitational field ave been detected at very sort distances (10-14 cm). 1 Let us consider a particle interaction event common to te area of researc termed ig energy pysics. Suppose two nucleons, a neutron and a proton, collide in a particle accelerator. If tey ave sufficient kinetic energy tey will fuse, forming a deuteron. In te fusion process a gamma ray will be emitted wit energy equal to te binding energy lost in te fusion of te particles to make a deuteron. Te binding energy is proportional to te missing mass lost during fusion. Tis is because te mass of a proton and neutron is less wen tey are separate tan wen tey fuse to form a deuteron. Te following figure illustrates it conceptually. Figure 1 Binding Energy In te case of te formation of a deuteron, a gamma ray of energy 2.224MeV is emitted. Conversely, if a deuteron absorbs a gamma ray of at least 2.224MeV, it will split te deuteron into te original proton and neutron. Wat is intriguing is te observation tat a gravitational fluctuation as been noted in ig energy pysics. In our following argument, we will consider te fluctuation to be associated wit just suc an event as a particle collision as described above. 1 1 Te Dancing Wu Li Masters, Gary Zukav, General Nonsense, pg. 168, Bantam Books, 1979

Empirical Data In our first paper [1] regarding te anomalous acceleration of te Pioneer probes and wit te LAGEOS satellites, we describe te anomaly by te empirical equation: a = [ ]ν c. (1) Te Sun is taken as a black body wit a temperature of approximately 5,800 o K. Te acceleration is proportional to te frequency of te Sun s ligt and not its intensity. Te igest energy potons (tose wit te igest frequency) produce te acceleration noted in te Pioneer probes. In our second paper [2] we used te same concept to sow tat acceleration is proportional to a particles intrinsic frequency, attempting to unify equation (1) to Einstein s equation, E=mc 2. To do so, we substituted te equation [ ] / cλ for mass m, and added one c to preserve dimensional consistency wit equation (1). Tis led to te final equation: Combining wit equation (1) we ave te final expression, a = c 3. (2) cλ a = c = c [ ] ν cλ 3 (3) as an empirical equation tat describes quantized acceleration in terms of electromagnetic waves and particles. In our tird paper, we included an expression for acceleration as proportional to te pase, or angular velocity of electric and magnetic fields, for te final formula Evaluation a = c = c = c [ ] ν [ ħ] ω 3. (4) cλ Let us consider a two body interaction of te fusion of a proton and a deuteron as we did in te introduction. Suppose we associate te gravitational fluctuation noted by Zukav wit suc an interaction. Wat conclusions could we draw about te observed fluctuation? Peraps te most striking ting about te gravity fluctuation is its range. According to general relativity and Newtonian mecanics, te range of gravity is 2

infinite 2. For now owever we will remain focused on te observation itself. As mass is te source of a gravitational field, we migt begin by simply associating te fluctuation wit te particles masses, or teir intrinsic frequencies. Since we know tat tere is a decrease in mass during fusion, we may write te relation between te fluctuation and te cange in mass as: a dm =. (5) dt Looking at it from te perspective of frequency, we may also write a = dλ. (6) dt Tis approac itself is patterned after te Law of electromagnetic induction noted by Faraday 3. Instead of te production of a voltage in across a conductor in a canging magnetic field, we ave a gravitational fluctuation proportional to a canging mass. But a gravitational fluctuation proportional to te rate of cange of frequency wit respect to time in terms of particles sould also exist in terms of fields and electromagnetic waves. Tus equation (4) becomes: Graviton Induced Fission a = c = c = c [ ] ν [ ħ] ω 3. (7) c λ Let us consider furter tat te fluctuation as te result of a graviton emitted by te fusion of a proton and neutron. If te emission of a graviton is observed during fusion, te absorption of a graviton of sufficient energy sould induce nuclear fission, splitting a deuteron into is primary components. In te case of te observation noted by Zukav, te sort range of te fluctuation would proibit any practical exploitation of te penomenon. However, te microscale of te fluctuation may be circumvented if we employ electromagnetic waves as te stimulus for ig energy gravitons instead of te particles temselves. A test, in teory, would be sufficient to explore te viability of our proposal. Suppose we allow a gamma ray to fall on a target of U235. Te gravitons associated wit te gamma ray potons would not in temselves be capable of splitting te target s nuclei. However, if we were to cange te frequency of te gamma ray over a sort period of time, ten according to equation (6), a graviton of energy proportional to te rate of cange of te gamma ray frequency wit respect to time would be produced. Suc 3 2 One exception is general relativity; tis does not take into account gravitation due to electromagnetic waves, as te range of a field due to tem would be limited by anyting opaque. 3 Link: ttp://en.wikipedia.org/wiki/electromagnetic_induction

a graviton pulse would be absorbed by te nuclei, resulting in fission. Conclusion Wat we ave presented is a cursory evaluation of a very intriguing gravitational penomenon. Te penomenon itself represents an effect tat appears as a connection between general relativity and quantum mecanics, and electromagnetism and gravitation, simply because a gravitational effect as been observed wit a quantum interaction. If suc a gravitational fluctuation can be stimulated toug te influence of electric fields and electromagnetic waves, ten it may also be possible to extract te penomenon from te sort scale of te quantum realm and coerce it into producing macroscopic results. 4

References [1] Link to Electromagnetic Gravitation : ttp://groupkos.com/eso/tiki-index.pp?page=electromagnetic+gravitation [2] Link to Dimensional/Gravitational Symmetrical Model for Particles and Gravity in terms of Electrodynamics : ttp://groupkos.com/eso/tiki-index.pp?page=electromagnetic+gravitation 5