SYMMETRY: A SUBSET OF UNIVERSAL CAUSALITY
What is the Difference between Cause and Reason?
Raphael Neelamkavil, Ph.D., Dr. phil.
1. Symmetry and Symmetry Breaking of Choice
2. Defining Causality
3. Defining Symmetry Causally
I discuss here the concept of symmetry and relate it to Universal Causality. I do not bring in the concept of Conservation here. Nor do we mention or discuss the mathematicians and physicists who deal with this concept, because such a short document cannot study their work or critique them in order to related them to Universal Causality.
1. Symmetry and Symmetry Breaking of Choice
Suppose that, by use of a conventionally decided unit of physically causal action α (of whatever, say, a photon) from A, the choice is met by the unit of action between two given electrons B and C. We consider B and C to be the immediate candidates for direct causal action by α, but the said causal action does not take place in B or C by an external causal action α from A. Then we tend to claim that there exists a PERFECT SYMMETRY OF CHOICE between B and C, for the unit of action α from A.
Whether α is from A or anything else does not matter here. What matters is that in nature such a perfect symmetry is never the case. Suppose there is no choice for α other than that between B and C, that is, there exist only A, B, and C in the world. In that case, at some point of time in the future of occurrence of the physically real mutual (causal, if A were to interact with B or C through the exertion of the causal action α) approach between (1) the unit of action α issuing from A and (2) any one or B and C, then there occurs the causal choice between the two.
If it is possible to stipulate that A, B, and C are in motion at various directions, then there exist some other D, E, etc. in the universe and A, B, and C have had causal interaction with many others. In that case, the decision of α for interaction with either B or C at a stipulated point of time lies in the acquisition of the knowledge as to how much A, B, and C have been causally affected by others, and to what extent of time.
This is not determinable given the fact that we are unable to causally contact all the agents of causal action upon A, B, and C. The final choice by us will be considering at least in a percentage-wise manner how much, how many other As, Bs, and Cs have causally influenced A, B, and C, beginning from a certain past relative point of time. But our decision is a speculation based on a few nearby-lying causal influences upon them. But this is not as much true as when we had the whole information.
We tend to term the action that follows with the so-called “choice” for B or C by the action potential α of A as symmetry breaking. Symmetry breaking here is nothing but the ability of any action potential α of A to affect B or C (or any other) processual entity causally – but this ability is presumed and calculated without taking, and without being able to take, into consideration all the causal antecedents of the action potential α of A and the processual entities B, C, etc.
These causal antecedents are such that, if known fully well, the action route of the action potential α of A can be predicted without access to the notion of symmetry or symmetry breaking. Such symmetry breaking may then even be cited by some physicists as the reason for the choice. Note also that this or any other concept of symmetry and symmetry breaking is not such that all the causal antecedents in A, B, C, etc. are already summed up in it. Recall to mind here also the Bohmian notion of hidden variables. Hidden variables are not actual variables, but instead, a device to merely represent unknown and non-represented variable values.
One may argue that symmetry too is causal. The direct cause of the choice is the action α by A on B or C. But even within the notion of the direct or immediate cause, cannot be included the notion of other external and remote causes of the event of the action potential α of A choosing B or C causally. That is, immediate causes do not contain within themselves all the remote past causal routes that have contributed to the choice by the action potential α of A to choose B or C causally at a moment to interact with.
This shows that the notions of symmetry and symmetry breaking are the results of conceptually ostracizing (or of our inability to reach and include) the past causal horizon of the causal event at discussion. Hence, these are instruments to do physics in our given context. This does not mean that science and philosophy should not recognize the universal nature of causality or that physics and philosophy should ostracize Universal Causality.
The action is physically processed in the form of a conglomeration of existent processes, whichever be the participating causal forces from within them and from outside – the latter of which normally are not being taken into consideration by the experiment and the symmetric-mathematical description, because there are limits to experimental setups and mathematical tools. But theoretically generalizing inquiry has no limits. This is why we need a theoretically generalizing notion of Universal Causality based solely on the notion of existence. The generalities in the natural kinds of physically existent processes are called ontological universals. These are not merely and exclusively in individual token entities.
In nature there are only causes, not reasons. Reasons are in human minds, and are active in two ways:
(1) In a connotative manner (i.e., consciousness notes together the generalities in processes. and then concatenates the connotative universals achieved / formed within consciousness in order to facilitates concepts and their expression in statements).
(2) In a denotative manner (i.e., connotative universals are mixed with brain elements and then expressed in symbols and language, and thereafter denotative universals are concatenated in various ways in symbolically formulated statements in language, mathematics, automated intelligence, and other symbolic instruments).
Both these are aspects of the constitution of reason in their own ways as and when they have to do with reasons in consciousnesses and expressions via symbols and languages. Causes in physical processes are existent as such outside our connotative universals, connotative concatenations of connotative universals, denotative universals, and denotative concatenation of denotative universals. Reasons occur in the concatenations of connotative and denotative universals, respectively in the pure conceptual aspect of consciousness and in its symbolizing aspect in various natural and artificial languages.
The symmetry or symmetry breaking in any given case is such an explanation, a reason. It is not a cause or the cause of anything. Many a time physicists tend to get confused between reasons and causes. Symmetry is just an example for instances where this universal phenomenon of confusion occurs.
2. Defining Causality
Anything existent is in Extension, i.e., is composite and thus has a finite number of parts, none of the parts of which can be taken as an infinitesimal in any exercise of division and counting. Anything in existence is in Change, i.e., all existent processes and parts thereof make new impact-generation on other such and as a result also within itself – this is the only other aspect of composition of existents. The latter part of Change, namely, the inner and inward action as a result of the previous action, is to be recognized as an additional action.
The combined action of Extension-Change-wise existence is nothing but causation. Everything existent is in causality – hence Universal Causality. Causes are always in the Extension-Change-wise mode of being of existents. Extension and Change together are the exhaustive meaning of existence (To Be) of Reality-in-total. All Extension-Change-wise instances of existence are instances of causation.
In short, everything existent has parts (Extension), every part has parts because it is in Extension, and all of them are in their own proper action of impact-formation (Change) inwards and outwards. Extension and Change are the only two exhaustive modes of the meaning of existing non-vacuously. Every existent is thus in causal action.
Such causation is everywhere, in all existents, as the very implication of existence. Hence, Universal Causality is the principle of nature that is instantiated when the choice by a unit of processual action (α of any A) between two electrons (B, C) breaks the principle of symmetry. Symmetry breaking with respect to a preferred or prescribed sort of action should always be causal, because this event has a past causal horizon, however long. (The question as to whether the past causal horizon is physically past eternal or past finitely eternal is the cosmogenetic question. We do not treat it here.)
Symmetry and the symmetry breaking are names for what may be called reasons in any case that may be discussed. But reasons must be explained always in terms of the causal actions within the given contexts. If physics is unable to do that in any instance, it is not entitled to call it non-causality or a-causality. Nor should the situation be filled up with an indescribable something called vacuum energy, ubiquitous ether, etc., and make vacuum energy and ether do the creation of the universe/s.
If the various laws of Conservation are considered as instances of symmetry, such symmetry is not merely of a choice of interaction, but much more, as a symmetry that may be defined as not being otherwise than what the processes involved (and thus all that exist as processes) are.
Existent processes are fundamentally in existence, which is the same as being in Extension-Change, i.e., in Causal existence, and only derivatively (i.e., by preferring to involve only a few causes) from the continuously Causal existence are they in the states of symmetry or symmetry breaking – whatever be the states or choice of states considered. This is done in terms of reasons, in terms of conceptual explanation, all this is in fact based on causal processes that guide everything being considered for investigation in the cosmos.
3. Defining Symmetry Causally
To be clearer in terms of what physics does, symmetry is a mode of perception and explanation of causal physical action quantitively within a given limited context of causes, where the totally causal nature of all existents does not get considered as playing a direct role in the formation of the immediate causes that are being considered.
Universal Causality is equivalent to non-vacuous existence, because Universal Causality, composed of Extension and Change, is the very exhaustive meaning of existence. Hence, Universal Causality is physical-ontologically more a priori than the symmetry and symmetry breaking of some select states, where the state of having two sides, aspects, choices, possibilities of actions, etc. are based on the Extension-Change-wise modes of existent processes in being in finite measures of activity and in stability in the same finite measures of activity.
The finite measures of causal action may be quantified. But this quantification in terms of any conventional mode of measurement does not represent all that the physical processes involved are in themselves, in terms of all that have causally happened in them.
Symmetry is not a matter of absolutely virtual knowledge. It is naturally based on the causal action of parts in parts of the universe and their comparability with respect to certain criteria of comparison. Various mathematical tools have come to be used to make comparisons effective and productive.
But this is not the case concerning Universal Causality, which I have defined here, because mathematical applications in physics, astrophysics, cosmology, etc. tend to forget the basic fact of the universality of Causality, which should have been dealt with in every little part of these sciences. This is the sad part of the story of Universal Causality.
Bibliography
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