On The Geometry of Time of Physics and Cosmology

The key innovation introduced in this book is a revolutionary model of time in the context of relativity.
It is aimed at a broad technically educated audience that spans the spectrum of academic and industry
professionals to advanced university undergraduates, select science journalists and amateurs in physics,
mathematics, astronomy and other physical sciences. Like the Copernican Revolution
, which replaced the
Earth with the Sun as the center of the Solar System model, this new way of thinking about time is simple
and obvious in hindsight. It is based on a direct physical interpretation of Minkowski spacetime geometry,
rather than the conventional wisdom that Minkowski’s
geometric foundation for special relativity
introduced
a mere “mathematical convenience.” The simple step of reinterpreting Minkowski’s mathematics as ideal
clocks measuring time in different directions in spacetime
, instead of mistakenly treating it as nothing more
than a mathematical abstraction, removes a fundamental impasse to progress in theoretical physics. In this
book, students and professionals in a variety of fields will find fruitful new avenues of inquiry providing
opportunities to contribute to a new revolution in physics similar to the “modern revolution
” of a century ago.
Chapters 1–15 introduce the concept of geometric cosmic time and deal primarily with cosmology. It is
shown that recent galaxy redshift survey data are inconsistent with the ‘Hubble law
’ and that a quantitative
model of geometric cosmic time is consistent with these data. This model also implies that the supernovae
redshift-luminosity curve was mistakenly interpreted as a sudden onset of accelerating cosmic expansion
.
Chapters 16–25 discuss symmetric relativistic transverse gravitational redshift (TGR), a ubiquitous
empirical phenomenon implying an insufficiency in general relativity
because the observable is unmodeled
by the Einstein field equations
. Progress has been made in gravitational physics by identifying a simple
error in the way general relativity models time. An equation that rests on first principles is able to accurately
predict the magnitude of the phenomenon manifesting as the observed unexplained variable excess
redshift of stars, being most pronounced for white dwarfs
. Also, a predicted relativistic modulation of the
transponded S-band Doppler tracking
signal from the Lunar Reconnaissance Orbiter (LRO
), which is not
modeled by canonical relativity, is currently under investigation. Chapters 26–30 revisit cosmology,
leveraging on the new insights in the prior chapters concerning gravitational physics. Chapters 31–38
discuss relativistic energy and introduce the concept of the momentum wave in quantum mechanics, which
provides a path to elegantly solving several outstanding problems in physics, including quantum gravity
.