1st Edition

As Time Goes By A Comprehensive Guide to Time and Frequency Measurements

By Michael A. Lombardi Copyright 2026
700 Pages
by Jenny Stanford Publishing

There are few subjects, if any, that are talked about more than time. We organize our lives around time, and people have tried to understand time’s elusive nature since the beginning of recorded history. Time is not something that we can change or control, but we can accurately measure its passage. In fact, we can measure time more accurately, with more resolution and with less uncertainty, than... Read more

PART I – Clocks and Oscillators

Chapter 1 – Shadow, Flow, and Mechanical Clocks

Chapter 2 – Quartz Clocks

Chapter 3 – Atomic Clocks

PART II – Measurements

Chapter 4 – Time Measurements

Chapter 5 – Frequency Measurements

Chapter 6 – Accuracy

Chapter 7 – Stability

Chapter 8 – Uncertainty

Chapter 9 – Traceability

PART III – Clocks Controlled by Radio and Network Time Signals

Chapter 10 – Clocks Controlled by Radio Time Signals

Chapter 11 – Clocks Controlled by Network Time Signals

Chapter 12 – Clocks Controlled by Satellite Navigation Systems

PART IV – Research Areas

Chapter 13 - Optical Clocks

Chapter 14 – Optical Time Transfer

PART V – Applications

Chapter 15 – Time and Navigation

Chapter 16 – Time and Telecommunications

Chapter 17 – Time and Electricity

Chapter 18 - Time and Money

Biography

Michael A. Lombardi worked in the Time and Frequency division of the National Institute of Standards and Technology (NIST) from 1980 until his retirement in 2023. During his career, Lombardi was engaged in measurement system design, clock and oscillator calibrations, time and frequency distribution via terrestrial radio and satellite signals, and international time scale comparisons. He received the NCSL International William A. Wildhack award for his contributions to measurement science, the Institute of Navigation’s Precise Time and Time Interval (ION-PTTI) Distinguished Service award, and the Dr. Willie E. May Award for a Distinguished Career at NIST. He is also a two-time recipient of the NIST Edgar Uhler Condon award for clarity in scientific writing.

This book is a labor of love from one who has devoted his life to the timekeeping art. We learn that the history of clockmaking is the history of civilization. The book is particularly insightful in the areas Lombardi has worked on himself, such as time transfer and measurement for practical applications. Readers will learn why financial markets need timing at the millisecond level, as well as why GPS needs time and how it can deliver time a million times more accurately than that. The tools of the trade are described in an understandable manner, from clocks to oscilloscopes and counters, along with specialized statistical measures. It is a pleasure to read this carefully scribed work.”

Dr Demetrios Matsakis

Coauthor of An Introduction to Modern Time Keeping and Time Transfer

As Time Goes By presents a clear and compelling journey through the science and history of time measurements, revealing how an abstract concept becomes a precise and practical tool. It skillfully traces the evolution of timekeeping—from ancient observations to today’s ultra-precise atomic clocks—while remaining accessible to general readers. It not only informs but also inspires curiosity about the profound role that accurate timekeeping plays in modern life and technological progress.”

Dr Amitava Sen Gupta

CSIR – National Physical Laboratory, India

“As Time Goes By is a masterful and comprehensive account of time and frequency measurements. It traces the journey from early natural observations to the precision of modern atomic clocks. Written by a leading expert, it combines historical insight with technical clarity, illuminating the evolution and significance of timekeeping. Both authoritative and accessible, it highlights the central role of time in science, technology, and our understanding of the universe.”

Dr José Mauricio López Romero

Center for Research and Advanced Studies of the National Polytechnic Institute, Mexico