‘EXCESSION’.

 

 

 

‘EXCESSION’.

 

F.E.D. ‘Neologia’ Series.

 

 

 

 

Dear Reader,

 

We have used the term – and evoked the concept – of ‘excession’ so far mainly in the context our ‘Regenerist’ Cosmological Hypothesis, regarding the possible limits of the early self-expansion rate of physical space, before that, ‘anti-gravitic’, self-expansion was opposed by “Matter”, either “Dark” or ‘Bright’. This limit is one whose ‘excession’ – the “exceeding” of which – was, per hypothesis, the genesis of ‘anti-anti-gravitic’ “Dark Matter”.

 

However, numerous dialectical processes within our cosmos – especially processes of the transition from mere, quantitative, “evolution” to ‘onto-dynamical meta-evolution’, are driven by the ‘excession’ of specific immanent limits within their formations of Nature.

 

‘Excession’ is the process or the fact of a dynamic growing, until it crosses a critical threshold of one [or more] of its dynamical parameter-values, whose ‘excession’ precipitates a relatively sudden qualitative, ontological change.  This kind of change is often signaled, in “purely-quantitative”, e.g., differential equation, models, by a division-by-zero “singularity” – a spurious “infinite” purely-quantitative value.

 

The classic Marxian example of such ‘excession’ is that of Marx’s “law” of the tendency of the rate of profit to fall. 

 

Per that “law”, as the [value-]percentage of the relative “organic [“living[-labor], v], composition of capital, (c/v), diminishes, due to the faster rise in c, denoting the value of raw & auxiliary materials consumed, plus of plant and equipment consumed, in the process of production, rising faster than the rise in v, so that the (c/v) ratio’s value as a whole grows, in each given round of production, for industrial capitalist society as a whole, the Marxian rate of profit on the total social capital, e.g., s’/((c/v) + 1), is predicted to fall, leading ultimately to the demise of capitalism, as its profit-rate main motive gradually wanes, unleashing socio-economic cataclysms all along the way in that process.

 

Of course, this would only involve, per this ratio-model, an “infinite singularity” in the case of a rise in the ‘human-societal self-reproductive self-force’ that achieved complete automation of social production, i.e., v = 0: s’/((c/0) + 1)  =  “s’/oo”  =  0.  I regard that as possible only as an asymptotic limit, within the Domain of human-social ontology.

 

 

We also encounter ‘excession’-born finite time singularities, for example, in modern physics.

 

 

The Newtonian 2-body gravitic equation predicts -- with “infinite” error -- an “infinite” gravitic force if the “point-masses” by which it represents, e.g., the two mutually-gravitating planetary bodies, reach an ‘excession’ of the physical-spatial mutual separation that maintains their ontological identities as distinct, i.e., when they “collide”, say at the finite time-value named ‘t*’, so that, then, the distance between them, r₁₂(t*), becomes 0 –

 

GM₁M₂/r₁₂(t*)²  =  GM₁M₂/0².

 

 

The Einstein special-relativistic momentum (p) equation, for bodies of ‘Bright Matter’, predicts a “infinite singularity” if such a body were to attain the velocity of light, c, and an “imaginary” value of momentum were an ‘excession’ of light’s vacuum-velocity to occur –

 

p   =   mv/( 1 – (v/c)² )^1/2  

 

– so that, if v = c, the model predicts –

 

p   =   mc/( 1 – (c/c)² )^1/2   =   mc/0^1/2  

 

– and, if V > c –

 

p   =   mV/( 1 – (V/c)² )^1/2   =  

 

-imc/( (V/c)² – 1 )^1/2  

 

-- wherein ‘i’ denotes the square-root of –1.

 

 

Quite generally, ‘excessions’ mark the transitions wherein apparent, mere, relatively-gradual, “purely”-quantitative change irrupts, with relative sudden-ness, into “qualitative change”, into “change(s) of kind” – into ‘ontological, onto-dynamical revolution’.  

Regards,

 

Miguel  

 

 

 

 

 

 

 

¡ENJOY!

 

 

 

 

 

 

 

 

 

 

 

Regards,

 

 

Miguel Detonacciones,

 

Voting Member, Foundation Encyclopedia Dialectica [F.E.D.];

Elected Member, F.E.D. General Council;

Participant, F.E.D. Special Council for Public Liaison;

Officer, F.E.D. Office of Public Liaison.

 

 

 

 

 

 

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