UNIVERSAL REALITY
UNIVERSAL REALITY
The true nature of space-time does not just emerge from the geometrical evidence offered by gravity but is a consequence of intrinsic properties of mathematics. The present discourse provides a new account of space-time based on a minimal set of generally accepted ‘self-evident’ truths. The set is minimal since it is founded on but few mathematical axioms and excludes intrusions by extrinsic factors from (macroscopic) observation in our Euclidean-biased environment. The fundamentals of two separate branches of applied mathematics are re-visited in order to expose heretofore unrecognised implications which all converge on the same conclusion about the nature of space-time as does the expansion of its geometry presented herein. In our quest we will not resort to mathematical methods such as the calculus since differentials and integrals provide derivative rather than fundamental relations between variables, i.e. an account of the fundamentals of nature should not depend on derivatives. For similar reasons we will not rely on coordinate systems, employed in calculations of physical systems, that invite the use of such mathematical tools, as neither promote the geometric interpretation of elementary entities that will unify the macroscopic and microscopic worlds- instead we will introduce a coordinate system that will serve both. Accordingly, we will express their geometry by trigonometric polynomial equations, with some excursions into vector algebra and symbolic logic. However, while its inner consistency allows one to make more precise and complete statements, mathematics is not intended to be a substitute for our subject’s philosophical foundation the understanding of which is prerequisite and primary. The explanations provided herein should enable the reader gain this understanding.
Because the present discourse is at a fundamental level no references are made to other works, although general familiarity with standard mathematical and physical principles has been assumed and the value of their contribution is hereby acknowledged. As a result some readers might initially find the text rather basic, yet it is precisely at this level where past oversights have hampered advances in current theoretical physics. The sparseness in our approach thus serves to keep things simple as the world’s complexity must ultimately and fundamentally derive from simplicity. Removal of superfluous factors provides the necessary clarity for uncovering the hidden false assumptions that had led the major branches of physics on divergent courses and prevented extending space-time geometry from astronomical realms to elementary particles. The unification of the macroscopic world and the domain of microscopic phenomena also places the observer in a new light with profound implications for the meaning of the reality that we experience and the cosmic drama in which we take part. It is ultimately this aspect that will take centre stage and to which progress in mathematics and physics are but sideshows.