DOC

.

17 GRAVITY AND MATTER

198

ATOMIC STRUCTURE

which

equation,

with the

exception

of

the

expression

for

the

co-efficient,

agrees

with

(15).

By comparison

we

obtain

32

=

w7.....(20)

This

equation

signifies

that

of

the

energy

constituting

matter

three-quarters

is to be

ascribed

to the

electromagnetic

field,

[25]

and

one-quarter

to

the

gravitational

field.

§

4.

Concluding

Remarks

The

above

reflexions show

the

possibility

of

a

theoretical

construction

of

matter out

of gravitational field

and

electro-

magnetic field alone,

without the introduction

of

hypothetical

supplementary

terms

on

the lines

of

Mie’s

theory.

This

possibility

appears particularly promising

in

that it

frees

us

from

the

necessity

of

introducing

a

special

constant

A

for

the

solution

of

the

cosmological problem.

On the

other

hand,

there

is

a

peculiar

difficulty.

For,

if

we specialize (1)

for

the

spherically

symmetrical

static

case we

obtain

one

equation

too few

for

defining

the

guv

and

duv,

with

the result that

any

spherically

symmetrical

distribution

of

electricity

appears

capable

of

remaining

in

equilibrium.

Thus the

problem

of

the constitution

of

the

elementary quanta

cannot

yet

be

[26]

solved

on

the immediate

basis

of

the

given

field

equations.