Dear Sir,
We thoroughly enjoyed your excellent essay.
Mathematics describes the quantitative aspect of Nature, whereas physics describes the other aspects - qualia. Thus, they are interrelated. Language is the transposition of information to another system's CPU or mind by signals or sounds using energy (self communication is perception). The transposition may relate to a fixed object/information. It can be used in different domains and different contexts or require modifications in prescribed manner depending upon the context. Since mathematics follows these rules, it is also a language. Mathematics explains only how much one quantity, whether scalar or vector; accumulate or reduce linearly or non-linearly in interactions involving similar or partly similar quantities and not what, why, when, where, or with whom about the objects. These are subject matters of physics. The interactions are chemistry.
All our measuring instruments have limited capacity to measure: one aspect over time. Thus, we take readings in phases. The same is true for perception. Thus, we cannot have all knowledge. For this reason, we take readings over limited time and generalize it sometimes linking it with other aspects (which may not be complete and sometimes go against natural principles). This "pattern of presumptive logical sequences controlled by a probabilistic array of options derived from a shared algorithm" explains our interpretation of events. Love is just like charge interaction and intoxicates one individual to be attracted towards someone or something else. When we come across our object of love, consciously or unconsciously we recall some past event, the memory of which is pleasant. This intoxicates us and we equate the whole object or persona with our sweet memory to pursue that "happiness" or "preferred state", though it is not true - it may have other unpleasant aspects, which would be revealed later. It does not follow logic.
We have discussed measurement, relativity, zero and infinity in detail from fundamental perspective in our essay.
Reality is whatever exists (has a limited structure that evolves in time and is perceptible), is intelligible (knowable) and communicable (describable using a language). Perception is the processing of the result of measurements of different but related fields of something with some stored data to convey a combined form "it is like that", where "it" refers to an object (constituted of bits) and "that" refers to a concept signified by the object (self-contained representation). Measurement returns restricted information related to only one field at a time. To understand all aspects, we have to take multiple readings of all aspects. Hence in addition to encryption (language phrased in terms of algorithms executed on certain computing machines - sequence of symbols), compression (quantification and reduction of complexity - grammar) and data transmission (sound, signals), there is a necessity of mixing information (mass of text, volume of intermediate data, time over which such process will be executed) related to different aspects (readings generated from different fields), with a common code (data structure - strings) to bring it to a format "it is like that".
Look at the structure of any equation. The initial condition or parameters are represented by the left hand side. The equality (or inequality) sign describes the special conditions to be met to start any interaction: be it the mathematics for dynamical systems to navigate through the Inter Planetary Super-highways (IPS) at macro level or the transition states in chemical reactions at micro level. Given the initial conditions, the right hand side describes the theorized outcome of the interaction. We may vary the parameters of the left hand side. That is our freewill (though our choices or degrees of freedom may be limited). Once the initial parameters are set, the right hand side - final outcome - will vary correspondingly as long as the equality sign holds. It is predetermined; otherwise there will be no theory. The equality sign - the special conditions - like temperature threshold to start a chemical reaction, are also predetermined.
Regards,
basudeba