CHAPTER II

_A modern duel: Einstein and Eddington v. Bergson and Whitehead_

In this battle over the importance of time and process great names

stand out as representatives of the two opposed views: Einstein

and Bergson, with their lieutenants, Eddington and Whitehead. The

two leaders use very different methods. Einstein, as mathematical

physicist, suggests that physical laws can best be expressed if we

assume that space and time are so similar that physics can make no

absolute distinction between them. Thus in relativity theory the

symmetry of space involves the symmetry of time, and therefore the

reversibility of physical laws, as has been shown by Birkhoff.

Bergson, as biologist and philosopher, denies that the view of time

which is implicit in relativity mathematics is adequate when a wider

range of experience is taken into account.

Einstein starts by excluding all but a very narrow range of physical

experience, and finds that he can make successful predictions about

light and gravitation by treating the irreversibility of the passage

of time as of no importance for scientific measurements. Bergson, by

studying a wide range of biological and subjective experience, comes

to assert the existence of a creative process, though the inherent

limitations of the intellect and of science may leave the essence of

this process outside their reach.

Both protagonists have left their flanks exposed, by omitting to

present their view as a consistent logical system, Einstein because he

is concerned only with the equations that can be empirically tested,

and Bergson because his chief interest is non-intellectual. It is here

that their lieutenants step forward to develop the two points of view,

and hence to intensify the conflict.

Eddington provides a logical basis for the theory of relativity and

reveals that the significance of physical laws is not quite what we

used to think. They are, he argues, identities which the human mind

discovers in its search for something permanent that it can call

_matter_ beneath all the changing appearances of the world. We have

made matter the real thing by demanding permanence or indestructibility

as the basis of physical reality. Now that we know that we have done

this it need not trouble us too much to find that absolute unchanging

matter doesn’t exist, since this merely means that we started out with

a demand that nature cannot fulfil. Unfortunately Eddington doesn’t

discuss what alternative demand we might now make in order to build

up a more satisfactory system of scientific ideas. But in spite of his

enthusiastic support of Einstein’s theory, with its implicit assumption

of reversibility, Eddington hesitates at least once in his advocacy

of reversible laws, for facts are turning up which suggest that this

undiscussed presupposition may not prove valid.[3]

Meantime Whitehead has been at work on the other side, and by

sharpening his logic till few can understand him has made the idea of

temporal process the basis of all intellectual and scientific thought,

whereas up to now process has always presented many difficult problems

for the intellect. He proposes that since the conception of matter

has been found to be unsatisfactory we must start from the basic idea

of process in building up a new physical theory. As a consequence of

his line of thought, Whitehead found it necessary to reject some of

Einstein’s arguments and to show that Einstein’s law could be reached

from quite different postulates. For instance, Whitehead assumed that

the motion of light was irreversible, and that light did not travel

with the same velocity in the two opposed directions.

So much for one aspect of the conflict, its logical and philosophical

basis. But the issue must be decided by appeal to experimental

confirmation over the widest range of phenomena. Orthodox physics still

assumes reversibility, and has on its side the explicit statement made

by Einstein in 1925,[4] but by doing so it excludes at the start any

reference to organic processes. Conceptions based on this assumption

could never be legitimately applied to life, and all attempts made

hitherto to explain the central controlling processes of organisms in

terms of classical physics have necessarily failed. We know now that

this failure could have been foreseen.

The same objection cannot be made against the basic ideas of Bergson

and Whitehead, nor against the new atomic physics as interpreted by

Born, as we shall see in a moment. To Bergson and Whitehead, as to many

others amongst whom Lloyd Morgan must be mentioned, the process of

nature is creative, i.e. it involves the coming into being of the new,

the appearance of new combinations essentially precluded before. This

probably means that the laws of physics which are to describe what is

actually happening in the world must be given irreversible form. For

reversible equations make no distinction between to-day and to-morrow,

and cannot express the fact that at later moments new forms may emerge,

either in the evolution of organisms or of stars. On the other hand

irreversible laws can be arranged so as to display time as an active

factor in causation, i.e. to emphasize the fact that a certain period

of time necessarily has to pass before some new combination can be

attained.[5]

The upholders of a real process in nature can appeal to the facts of

organic life, human memory, and to biological and stellar evolution.

But their case is still weak because fundamental irreversibility

has not yet received explicit mathematical formulation suitable for

experimental test. When this has been done the intellectual battle will

be brought to its decision, and if irreversibility wins the day biology

and psychology will find themselves in possession of a physical basis

well suited to the facts with which they have to deal.

There is reason to believe that the decision will be made very soon.

We saw that the implicit assumption of reversibility underlies all

Newtonian conceptions. It may therefore be that the reason why we

cannot interpret atomic behaviour in terms of particle motions is that

electrical and radiational processes are essentially irreversible.

Particle motion and wave propagation--the two ideas on which all

modern theories of matter are based--are both represented by

mathematical expressions which are essentially reversible since time

enters only through the square of ‘dt’. If the quantum processes should

prove to be irreversible, we have already found a reason why the old

conceptions of particles and waves must be inadequate.

This speculation may indeed be found correct, since Born, one of

the leading experts in Quantum Dynamics, asserts that all quantum

processes are irreversible and that the apparent reversibility of

classical processes is only an approximation due to the fact that their

irreversibility happens to be negligible.[4] We may therefore hope that

the atomic physicists will soon formulate the quantum laws in a clearly

irreversible form which admits of precise experimental test.

But this may take some years, and in the meantime we must look around

and see how this issue is affecting current thought. We find the doubt

about process presented by Mr Sullivan (in _Gallio_), who has not yet

made up his mind to which side science will grant the victory. Thus on

one page he writes: “it seems to be true that events do not really take

place, we come across them” and suggests that process may be “a totally

irrelevant idea when applied to reality”. But later we learn to our

surprise that “it seems likely that (in scientific theory) the world

will have to be regarded as an evolutionary process, where patterns of

value emerge”. However, this inconsistency need not bother us, since

we are told that “the teachings of science so far as the spiritual

problems of man are concerned are merely irrelevant”.

These views reflect perfectly the uncertainty of the time, and will be

looked back on as a precious record of the state of mind which preceded

the scientific synthesis. Perhaps the most interesting feature of

the essay is the indecision it displays with regard to the spiritual

importance of science. This is a relic from the days when there were

two worlds, the world of science and the world of religion and art. No

one ever knew which of these worlds they were living in, and this is no

wonder. For the division was made only because at one time it looked

as though the scientific method could only deal with _quantities_,

and therefore that science could have nothing to say about values or

qualities. This view is no longer tenable. For instance, there is a

quality in organic integration which most of us value, and without this

and many other such conceptions biology and psychology could not get

far.

Before proceeding any further it is necessary to correct a common

misunderstanding with regard to the significance of Einstein’s theory

of relativity. This theory is mathematical, and is based on a series

of postulates which rule out any claim to present an ultimate theory

of space and time. One of these postulates[6] asserts that all our

physical knowledge can be reduced to the space-time coincidences

of pairs of point-events, or in other words the intersection of

the world-lines of electrons. No respect for the supreme genius

who predicted two experimental results and eliminated the chief

discrepancies remaining in Newtonian theory should restrain scientists

from pointing out that this postulate assumes something that has never

been known to occur, and has no valuable reference to the world of

physical experiment. The confirmation of Einstein’s final equations

cannot give any validity to this postulate. For it is difficult to

think of any physical experience considered by theoretical physics

which does not involve the perception of light or colour, and one

cannot assume that the perception of light is a perception of

coincidences. Light varies in colour and intensity; coincidence in

space is too abstract to account for an effect which is subject to

variation. Moreover all physical experience requires a certain amount

of time, and this fact is neglected if perception is reduced to the

recognition of instantaneous coincidences. Even if these two criticisms

are left on one side we still have to notice that Einstein’s postulate

rules out from the range of physics the important fact that many

processes are irreversible. For instance, if we accept Einstein’s

definition of physical experience, then the interesting fact that

radioactivity is only observed in the form of disintegration, and not

also as the reverse process of a spontaneous building up of heavier

elements from lighter, has to be left over by physics to be dealt with

by some other science.

It almost always happens that the formulations of genius are

exaggerated and form the basis of a pernicious orthodoxy, and it has

certainly happened to relativity theory. Against a tide of exaggerated

praise Whitehead, Larmor, and Bridgman, as well as some Continental

astronomers, have debated the general assumption that the theory of

relativity is adequate to its task, but those in whose hands the power

of orthodoxy lies have not yet answered their criticisms in print.

Neglect has always been the weapon by which orthodoxy has unknowingly

hindered the advance of new ideas. But while this neglect is easy to

understand, it is really remarkable that the postulates of relativity

theory were not subjected to closer examination before it was made the

basis of wide philosophical speculation. The experimental confirmation

of Einstein’s law of gravitation does not guarantee his postulates,

since Whitehead has reached a similar law (identical within the

accuracy of the observations) from different assumptions.

Einstein’s profound creative intuition and use of a difficult

technique compel our deepest respect, but his work should never have

been regarded as a _general_ theory of time and space. Not only does

he neglect the question of irreversibility but it is very doubtful if

periodic processes can be made to fit into his scheme, as has been

pointed out by Russell and Bridgman during the last year. Probably

Einstein himself has never regarded his theory as more than a stage in

the attempt to create a still wider physical synthesis, and we must

not interpret in a broad sense his statement that one of the demands

of his theory “takes away from space and time the last remnant of

physical objectivity”.[6] This could only be true if physical time

shared the absolute symmetry of space, i.e. if physical processes

were all reversible. But there are processes from which we can obtain

an objective criterion of the direction of time, and hence time does

retain an element of physical objectivity as distinct from the

absolute symmetry of space. One of the most interesting features in the

future of physics will be the explanation of the fact that Einstein

reached a correct law from postulates of limited validity, and in

this connection Whitehead’s alternative derivation may prove to be of

importance.

Archimedes; or, the future of physics · 第 2 / 6 章