*Dreams That Stuff Is Made Of* by Stephen Hawking describes classic phenomena in physics utilizing simple language and complex multi-dimensional mathematical formulas. The work includes a collection of papers by famous scientists, including Albert Einstein, Richard Feynman, and many others.

Hawking explains the work of noted scientists utilizing higher mathematics to depict the concepts. In addition, he provides valuable insights into the significance of these scientific concepts utilizing layperson’s terms. There is an intense discussion on how the spectrum of black-body radiation changes with temperature variability.

For instance, Ludwig Boltzmann discusses how the entropy of a system is a function of the probability of its state. The definition of entropy encompasses a measure of the disorder existing in a system; a measure of the energy in a system or process that is unavailable to perform work and a measure of the random errors in noise occurring from the transmission of signals and the efficiency of transmission systems.

The effective utilization of energy unavailable to perform work or entropy is important to reduce fuel costs. These costs are reduced by using energy byproducts that would otherwise turn to waste and pollute the air. Resolving this research question definitively could yield 200 or more miles per gallon of gas.

Resolution of random errors in noise problems will advance the state of art in telecommunications systems, as well as cloud computing. These research questions are outgrowths of the intensive interdisciplinary discussion of entropy in this work. Ultimately, overcoming the limits of entropy will help us to reduce fuel costs drastically and make progress toward cleaning the environment.

Statistical probability is adequate for treatment of thermal phenomena. New quantum mechanics gives us a better understanding of the Helium atomic structure, half quantum numbers in band spectra, continuous spatial distributions of photoelectrons and the phenomena of radioactive disintegration.

The existence of stationery states and photon theory explains quantitatively the interaction of atoms and radiation. The classic wave functions represent the probability that an event will occur; however, this probability relates to a computation of the probability that a system ends in a definitive final state.

Hawking also highlights that a particle cannot penetrate a potential barrier with a height greater than the particle kinetic energy. For a moving particle, the kinetic energy is defined as the total work from start to finish; or conversely, its kinetic energy is the total amount of work needed to attain its velocity starting from point zero.

*Dreams That Stuff Is Made Of *is a wonderful book which summarizes many of the classic open research questions in practical and theoretical physics. Stephen Hawking explains the phenomena both in simple language, as well as the language of higher mathematics utilizing the integral calculus, ordinary differential equations, probability and linear algebra. The presentation makes for good reading by the public, as well as the scientific community. In addition, the work enhances the public knowledge and appreciation for physics and its numerous practical applications in the consumer sector.