A Theory without Space & Time

Abstract

Einstein would have like a theory with no space and no time; he added that he didn’t know how to do it (Klein & Spiro,1996). I guess that Einstein was not excited by the job, all the more that getting rid of space and time requires having accurate definitions beforehand. This is the case today, but, if it’s quite easy to proceed, we can’t ensure that the replacement leads to significant progress in the theory. It’s no doubt paradoxical that Einstein never defined time and space, neither did contemporary researchers like Stephen Hawking. The lack of definitions about space and time is a real disadvantage, insofar as defining something is saying what it is; otherwise, we don’t know what we’re talking about. For example, what is the physical nature of space as such? What are the physical properties of time? Is time a phenomenon or a concept? In addition, a good definition is supposed to bring some theoretical extensions. For this purpose, the definitions of the second and the meter will be clarified; the signification of the covariance of the parameters in a relativistic situation will be reminded. Our target, getting rid of time and space, is based on two ideas:• Given that the international unit of time is defined in relation to the frequency of the cesium, the term which is related to time will be replaced by a term related to the frequency.• The cesium wavelength is a fundamental constant; it’s of course covariant. It turns out that any length is proportional to the cesium wavelength; the proportionality coefficient, which is a multiple of the cesium wavelength, is invariant. The splitting in two parts is not only an arithmetical trick, it allows circumscribing the covariance.