HOUSE_OVERSIGHT_013526.jpg

2.06 MB

Extraction Summary

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Quotes

Document Information

Type: Excerpt from a scientific or philosophical paper/book (evidence in house oversight investigation)
File Size: 2.06 MB
Summary

This document appears to be page 26 of a larger text, likely a scientific or philosophical essay, found within a House Oversight Committee document production (Bates stamp HOUSE_OVERSIGHT_013526). The text discusses 'hyperbolic dynamics,' 'entropic descriptors,' and 'hyperbolic brain flow,' attempting to link mathematical concepts (specifically Rufus Bowen's shadow theorem) with spiritual states described in the Bhagavad-Gita and human intuition/prophecy. It breaks down brain flow into three components involving 'center manifolds' and 'unstable manifolds.'

People (2)

Name Role Context
Rufus Bowen Mathematician
University of California mathematician mentioned as proving the 'shadow theorem' in the late 1960s.
Buddha Religious/Historical Figure
Mentioned metaphorically regarding the 'enigmatically smiling stone Buddha'.

Organizations (2)

Name Type Context
University of California
Institution where Rufus Bowen worked.
House Oversight Committee
Implied by the Bates stamp 'HOUSE_OVERSIGHT_013526'.

Timeline (1 events)

Late 1960s
Rufus Bowen proved the shadow theorem.
University of California

Key Quotes (2)

"Intuition, anticipatory knowing and that which some call prophesy, may be expressions of the hyperbolic brain’s mind doing dynamical shadowing."
Source
HOUSE_OVERSIGHT_013526.jpg
Quote #1
"The externally inactive state of high internal activity, the Bhagavad-Gita’s formlessness in the world of form, inaction in the world of action, has a natural mathematical representation in the simultaneously expanding and contracting motions of hyperbolic dynamics..."
Source
HOUSE_OVERSIGHT_013526.jpg
Quote #2

Full Extracted Text

Complete text extracted from the document (2,530 characters)

without presupposition, ecstatically aware and selfless, it is God’s gift realized, a joyfully awake and nonjudgmental empty state of transcendence. As we sit, we work at feeling this in the brain of the enigmatically smiling stone Buddha.
The externally inactive state of high internal activity, the Bhagavad-Gita’s formlessness in the world of form, inaction in the world of action, has a natural mathematical representation in the simultaneously expanding and contracting motions of hyperbolic dynamics and its associated entropic descriptors. How can this kind of formlessness equip us for almost instantaneous knowing? In a resting state of uniform hyperbolicity that only looks like randomness, accurate impressions of others can arise quickly and from only a few data points of observation. In the late 1960’s, University of California mathematician, Rufus Bowen, proved the now famous shadow theorem. This says that in dynamical states of hyperbolicity, directly observable on the screen in computer simulations, the first few points of the on-going wild dynamical dance that appears to jump randomly from here to there on the computer screen, counter-intuitively will quickly outline the entire skeleton of its future global shape, its geometry, though more time of observation is required to realize this structure in full detail. The contracting motions on the stable surface of action, called a manifold, “iron down” all the points onto the unstable manifold that serves to outline the shape of the attractor of all starting points. In such a system, observation of just the first few points outline the whole. Intuition, anticipatory knowing and that which some call prophesy, may be expressions of the hyperbolic brain’s mind doing dynamical shadowing.
To review briefly, hyperbolic brain flow is made up of three decomposable components: (1) The apparently predictable one along the main road of the action, going straight ahead and round and round on a throughway called the center manifold—analogous perhaps to what might be a sequentially logical development; (2) Intersecting the center manifold transversally is a field of influence moving the action away from the center manifold with out-of-the-box motion, exploring side paths of unpredictably new, creative possibility called the unstable manifold, we might think about inspired risk-taking, impulsive associations in thought; (3) Another transversally intersecting field of influence, which conservatively, rationally, “irons
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