Articles Posted 2019

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The purpose of this blog is to elaborate on the theoretical ideas contained in its companion book “The Reality of Four Spatial Dimensions”.

In Thomas S. Kuhn’s book “The Structure of Scientific Revolution” he documents the doubts that precipitate a paradigm change in scientific thought.

For example, even though one could still make accurate predictions of planetary motions using the 15 century geocentric models it became increasing more difficult to integrate that concept with the more accurate observational data provided by the new technologies of that day. This resulted in some scientists questioning their validity.

He suggests the doubt generated by its persistent inability of to explain new data lead many scientists of that period to adopt the simpler rules of the revolutionary heliocentric model.

Modern physics appears to be on the verge of a similar revolution because the discoveries of dark matter and dark energy are extremely difficult to integrate into its current theoretical models.

As Thomas S. Kuhn points out failure of an existing paradigm is a prelude to the search for a new one.

It continues the search, began in its companion book the “The Reality of Four Spatial Dimensions” to not only explain how one can seamlessly integrate the observations of dark matter and dark energy into a theoretical model based on the existence of four *spatial* dimensions but to provide a unifying mechanism responsible for the four forces of nature (gravity, electromagnetism, the weak, and strong) governing the interactions of matter, energy, space, and time.

Each article covers one aspect of a search for the “reality” it defines. For example, the article “What is dark energy” defines its casually in terms of an interaction of three-dimensional space with a fourth while others derive the quantum mechanical properties of energy/mass in terms of a resonant system formed by a matter wave on a “surface” of a three-dimensional space manifold with respect to a fourth *spatial* dimension.

It is not meant to verify the many answers found in the book “The Reality of Four Spatial Dimensions”. Instead it is meant to give the scientific community the specific information and experiment techniques required to either verify or falsify it contents. It relies less on mathematics and more on conceptual logic and thought experiments (much like Albert Einstein did) to show how one can explain and predict all modern observations by extrapolating the rules defining classical three-dimensional space to a fourth *spatial* dimension.

Copyright Jeffrey O’Callaghan 2011

“The universe’s most powerful enabling tool is not
knowledge or understanding but imagination
because it extends the reality of
one’s environment.”

 Einstein on the existence of a quantum singularity

 Planck’s constant as a function of space-time

4 spatial dimensions and A Theory of Everything

Einstein on the collapse of the wave function.

The source of Dark Energy

Time is a force more powerful than those of a black hole

The Physicality of Schrödinger’s wave equation.

 Simplify Quantum computers

 Defining the potential energy of space

The classical reality of quantum

 What is a photon?

Einstein’s Quantum probability function.

 Quantum entanglement as property of Relativity.

Does Dark energy violate the conservations laws?

Life without

The Direction of the mind

Mathematics and The Physical Sciences

  Dark Energy as a displacement in space-time

 Dark Matter as an offset in the fabric of space-time

Absolute Space-time and Newton’s Bucket   

Articles posted in 2022 2021, 2020,  2017 and 18, 2016, 2015, 2014, 2013, 2012, 2010, 2009, 2008, and 2007


The Road to Unifying
QM with Relativity

part 1
2007 thru


Paper Back

The Road to Unifying
QM with Relativity

part 2
2011 thru


Paper Back

The Road to Unifying
QM with Relativity

part 3
2015 thru


Paper Back