Why Waves Never Stop

This is a book about the physics of space and time. The main goal of
this book is to explain why time passes slower on a moving
train. Unfortunately, this is not easy to explain. Or rather, it
cannot be explained at all. This is, of course, a provocative
statement, whose meaning will depend on the interpretation of the word
to explain.

We will therefore first deal with explanations in themselves and
analyse the question of what it means to explain, of how explanations
work. That, you may think, is of no concern to you. After all,
finding explanations is my job. But, we are in the same boat, as
explanations are, obviously, closely linked to how we understand. In
this context, we will encounter rules, that will be very simple in
their structure, but lead to very complicated
consequences. Understanding has more to do with the complicated
consequences than with the simple rules. This is what makes explaining
and understanding difficult. In fact, we will even see, that those
complicated consequences cannot really be understood at all, but that
we rather just get used to them. Understanding is therefore an
inappropriate vocabulary to describe what we are about to do in this
book, and so is explaining. This are good news, as now, there cannot
be anything in the book that cannot be understood. Instead, you just
have to get used to it. That, I think, should be doable.

Nonetheless, we will then embark on a search for explanatory models
through the history of physics. This search will be successful because
we will find the only true, the ultimate language for an objective
description of nature. What language might this be?

With this language we will explore how classical physics uses the
quantities space and time. We will wonder why it takes time to move
through space. What does time have to do with it? Waves will teach us
that space and time have to be treated on an equal footing. Shouldn't
it then take space to move through time? Shouldn't time depend on how
something is moving through space? Shouldn't time be individual,
relative and not absolute?

Time is not what we think it is. We will discover, by looking at a
water bottle and by throwing dice, that the flow of time is an
illusion. The way physics describes time is fundamentally different
from the way we experience it, from what we think time is.

In a slightly more technical chapter, we will learn how different
observers can compare their locations and clocks, that is, space and
time, with each other and, based on that, how they can converse about
their respective views on nature. It is a curious thing that this type
of conversations, that such a theoretical argument, will directly lead
to the most famous equation of all, $E = m c^2$, with all of its
dramatic consequences for the real world.

Finally, we will learn how waves force us to treat space and time on
an equal footing and how this merges space and time into a union, into
spacetime. Waves are, furthermore, responsible for the constant speed
of light. Just think of your last visit to the beach. Have you ever
wondered why waves seem to always go at the same speed? Have you ever
asked yourself,

Why Waves Never Stop?