Dear Sir,
We thoroughly enjoyed your ideas. It stands at a different footing from most essays. We extend your ideas as follows.
Your classification resembles ancient Indian system of classification of fundamental entities - Matter (prithwi), change that induces inertia (ap), heat energy (teja), non-heat energy (marut) and space (vyoma), where the others are sequential order emergent derivatives of space, which itself is an emergent derivative of time. The observer (purusha) is independent of all these. They also believed spontaneous creation of mass particles from the background structure, which did not disappear, but got transformed into other forms. The Planck time was known as kshana and "duration (which is emergent time and requires measurement of the observer) is a sum of a numerical order of a given change". Time is a non-physical mental construction (buddhinirmana) perceived through alternative symbolism (vikalpana) of the order of events (vastupatita). But arrow of time is established - Past, Present and future are segments of these sequences of intervals that are strictly ordered - all of future always follows present. The same sequence is not true for past, because any past event can be linked to the present bypassing the specific sequence of its occurrence but you cannot move from past to future violating the sequence. Thus, time travel is fiction. Twin paradox arises out of Einstein's misplaced interpretation of simultaneity, which actually is synchronization.
Relativity is an operational concept, but not an existential concept. The equations apply to data and not to particles. When we approach a mountain from a distance, its volume appears to increase. What this means is that the visual perception of volume (scaling up of the angle of incoming radiation) changes at a particular rate. But locally, there is no such impact on the mountain. It exists as it was. The same principle applies to the perception of objects with high velocities. The changing volume is perceived at different times depending upon our relative velocity. If we move fast, it appears earlier. If we move slowly, it appears later. Our differential perception is related to changing angles of radiation and not the changing states of the object. It does not apply to locality. Einstein has also admitted this. But the Standard model treats these as absolute changes that not only change the perceptions, but change the particle also!
One caveat with Barbour's view is that they assume total energy (potential plus kinetic) and the total angular momentum of the system to be zero. Though this is a valid assumption, it expects some initial mechanism to break the equilibrium. Bijective function is inherent in conservation laws and Newton's third law. When the equilibrium is broken, it resolves into equal motion in two opposite directions. You can call one of these as the corresponding negative energy. When such motion is through a medium at rest, it creates a bow-shock effect. This reduces motion till it comes to rest after certain distance. In ancient India, this was the mechanism of creation - a bounded sphere (there may be many unconnected spheres or universes which cannot be approached as no motion is possible in the space between them). The medium is now called dark energy.
Hawking's idea of light cone and event horizon is not correct as explained in our essay.Also, the terms energy of matter and gravitational energy need to be precisely defined (there are many unsettled questions relating to gravitation including whether graviton exists at all). All particles were considered bijective in ancient India (agni-somaatmaka jagat). We will discuss these separately.
Regards,
mbasudeba@gmail.com
