Hello Daniele...
I am delighted to encounter a mathematician wading inward from Planck's reef, and in that Einstein endorsed Ernst Mach's (1838-1916) notion of "gravity" as the collective dynamics of spatially defined entities, allocation of human resources to investigate the geometry of a minimum/indivisible Unit/Quantum of Space (QI), as spatial containment for a minimum/indivisible Unit/Quantum of Energy (QE), and the dynamics inherent in a QE Point Source Pulsed Emission process, is justifiable, and would give application insight to the historically well documented concept of a single unit of universal construction... e.g. spirit, prana, rigpa, christ.
- SEMANTIC ISSUES:
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Given the proprietary nature of mathematical formalizations, it is highly likely that a visual/graphical, pulse by pulse animation of QE Emission and subsequent dynamics, will be required to communicate concept validity to the uninitiated.
That being the case, my analysis of fundamental geometry is formalized as an emergent structural model within a CAD environment... i.e. I do not speak the sententious language of mathematical equations, and will not attempt to verify the composited symbolisms with which you have formalized your justification to investigate a Tetrahedron spatial quantization to facilitate Emergent 3D Space-Time Energy and Intelligence.
I will attempt to visually establish common terminologies for the GRAPHIC ELEMENTS of a Space-Time geometry, as required to evaluate the Tetrahedron as a candidate for a base unit volume with which to quantize SPACE for Emergent 3D Space-Time Energy and Intelligence.
REF:
UQS Analysis: D. Oriti Tetrahedron Quantization... http://www.uqsmatrixmechanix.com/TetSingAnalysis1.jpg
To facilitate 3D CAD spatial occupancy ADDRESSing, for one or more spatially defined entities of a time based process, requires a 3D spatial logic quantization... i.e. a geometry grid/matrix... be embedded/imposed on an unbounded spatial field.
This requires a digital code/structure to generate the quantization DICTATES.
REF:
Quanta Magazine Information Theory: Defeat Randomness]...https://www.quantamagazine.org/researchers-def
eat-randomness-to-create-ideal-code-20211124
To facilitate theoretical minimum/indivisible spatial unit/quantum (QI) occupancy ADDRESSing, requires the specified quantization unit/quantum be indivisible.
"Universe as a fluid" implies that "dynamics", of some spatially defined energetic entity... e.g. QE... are anticipated within the quantized spatial environment.
A minimum/indivisible temporal unit... i.e. a Q-Tick (QT)... as a theoretical Source pulse rate, can facilitate a temporal incrementation mechanism, in which sustained entity emergence and subsequent distribution mechanix, will DICTATE the code structure.
Out of regard for Occam's razor, the Source Pulse (OSE) magnitude, the Pulse cycle, and the QI spatial definition, are initially best modeled as constants.
An x, y,z NODE has location but no spatial definition in which to contain a spatially defined theoretical minimum/indivisible Quantum of Energy (QE), and a SPLINE, as a sequence of x, y,z NODEs, has location and direction but no spatial containment.
In that a code graph receipt NODE, has only the location information associated with it, and a code graph qua bit SPLINE, has only the location and direction information associated with it, a Networked Intelligence requires no spatial occupancy.
REF:
Quanta Magazine Information Theory:Qubits Can Be As Safe As Bits... https://www.quantamagazine.org/qubits-can-be-as-safe-as-bits
-researchers-show-20220106/
In that a QI is defined as a theoretical, minimum/indivisible unit of QE spatial containment, the QI graphic element is necessarily a 2D PLANE, and a minimum of 3- 2D PLANEs is required to configure a 3D volume... e.g. the TETRAHEDRON... to facilitate volumetric quantization.
A 3D Spatial Environment quantized by a UNIFORM VOLUME UNIT, as an ADDRESSable unified field... i.e. a 3D coordinate logic map... requires a volume quantization unit that can tessellate... i.e. pack without remainder... unbounded space, and any requirement for infinite scalability within the 3D Environment, requires the volume quantization unit be self tessellating.
To eliminate any necessity for perturbative analysis of QE dynamics/mechanix, the specified uniform volume quantization unit must resolve a SINGLE POINT SOURCE of entity emergence... i.e. ORIGIN SOURCE (OS)... encapsulation geometry.
Logic Functions EMERGE as Inference from Pulse-cycle... i.e. Pulse-Opened to Pulse-Closed as the Intermittent Calculation State (ICS)... Geometry expansion, or as QE/QI occupancy configuration differentials, or they are Derived from prior emerged Logic Statements... i.e. emergent Logic Functions are quantization specific.
There are EQUAL SPLINE TETRAHEDRA, and UN-EQUAL SPLINE TETRAHEDRA.
Some TETRAHEDRA can tessellate unbounded space, and can self tessellate... i.e. meet requirements for infinitely scalable uniform unit of quantization... but this does NOT imply that there is a TETRAHEDRON of some dimensioned volume that will facilitate successful Space-Time Energy Emission mechanix...i.e. "which Tetrahedron?".
- UQS ANALYSIS: EQUAL SPLINE TETRAHEDRA:
________________________________________
ILLUSTRAT
ION: 1.
As illustrated, each of the 3 uniform volume EQUAL SPLINE TETRAHEDRA contribute 2 exterior facets, and 1 interior facet, to facilitate 9 Equal Geometry PLANAR ADDRESSes (QI).
REF:
UQS Analysis: D. Oriti Tetrahedron Quantization... http://www.uqsmatrixmechanix.com/TetSingAnalysis1.jpg
EQUAL SPLINE TETRAHEDRA PULSE-1-OPEN (P-1-O)... i.e. QT=undefined:
-----------------------------------------------
-------------------
A Logic Inference to facilitate resolve of unbiased Pulse-1-Open (P-1-O) QE Emission Distribution, requires all OS Adjacent QI, as PLANAR ADDRESSes, be of Equal Geometry, and they must composite to resolve a symmetrical/centroid SINGLE POINT SOURCE (OS) Emission encapsulation geometry.
No configuration of 3 Uniform EQUAL SPLINE TETRAHEDRA can encapsulate a centroid OS.
- UQS ANALYSIS: UN- EQUAL SPLINE TETRAHEDRA:
____________________________________________
ILLUS
TRATION: 2.
As illustrated, on Pulse-1-Open (P-1-O), 12 uniform volume, UN-EQUAL SPLINE TETRAHEDRA, can encapsulate an OS, and a code structure to generate an infinite 3D field tessellation by a UN-EQUAL SPLINE TETRAHEDRON may exist, but any number of a UN-EQUAL SPLINE TETRAHEDRON can not facilitate an unbiased P-1-O QE/QI Equal Distribution Intelligence.
REF:
UQS Analysis: D. Oriti Tetrahedron Quantization... http://www.uqsmatrixmechanix.com/TetSingAnalysis1.jpg
UN-EQUA
L SPLINE TETRAHEDRA PULSE-1-OPEN (P-1-O)... i.e. QT=undefined:
-----------------------------------------------
----------------------
The SYSTEM GEOMETRY initializes with 24 identical PLANAR ADDRESSes of Type1 Closed Area Geometry, and 12 identical PLANAR ADDRESSes of Type2 Closed Area Geometry... i.e. each of 6 Closed EMISSION AXIS SECTORs X 6 PLANAR ADDRESSes of 2 Geometry Types = 36 double-sided PLANAR ADDRESSes.
Initial Geometry Logic Functions, are specific to the UN-EQUAL SPLINE TETRAHEDRON as the volume unit of the Spatial quantization, and are DEFAULT declared as:
> DEF FN(OS)... defines ORIGIN SOURCE (OS) as CAD Environment ORIGIN
>> (x0,y0,z0)= (0,0,0)
Note: coordinate Origin eliminates requirement for perturbative analysis of quantum mechanix.
>> OSct= 1... SINGLE POINT Source Emission
> DEF FN(OS GEO EXPAND)... defines differential between UNDIFFERENTIATED FIELD and P-1-O Geometry configuration, as a Closed Encapsulation of the OS
>> OSSPLINEct= 8... mutually perpendicular SPLINEs intersect at OS NODE
>>> OSSECTORct= 6... +-X,+-Y,+- SECTOR Addressing
>> P-1-O OSQIct= 36... OS Adjacent PLANAR ADDRESSes are of 2 Geometry Types, and are TRUNCATED/CLOSED by the Tetrahedral BASE SPLINE
Note: In that an ADDRESS (QI) cannot be subdivided... i.e. QI are minimum/indivisible units of spatial definition... insufficient AI to facilitate a geometry expansion mechanism, to resolve across Tetrahedral BASE SPLINE, prohibits GEOMETRY expansion... i.e. Intelligence to expand must emerge prior to expansion.
>> DEF FN (NETCHNL)... define Network Channel as NODE/SPLINE configuration
Note: as discussed above a Network Channel does NOT facilitate spatial dimensions for QE occupancy.
>> DEF FN(E-ICHNL)... define Emission-Inertia Channel as PLANAR ADDRESS configuration
Note: All QI Initial Logic Functions are sequentially, pulse referent, logged in the Available Intelligence (AI) Log/DIRectory, as DICTATEs of Intelligence for subsequent pulse resolve.
Expanded Geometry DICTATES can not be Inferred from a UN-RESOLVED LOGIC IMPASSE... i.e. geometry expansion across a TETRAHEDRA BASE SPLINE ADDRESS TRUNCATION may be a Resolvable LOGIC IMPASSE, but necessity for arbitrary Sector Orientation of Hypotenuse Spline is a UN-RESOLVEABLE LOGIC IMPASSE.
UN-EQUAL SPLINE TETRAHEDRA PULSE-1-CLOSE (P-1-C)... i.e. QT=1:
-------------------------------------------------------
-------
On each Pulse-Open-Close Cycle... i.e. QT... a quantum/unit of constant magnitude ORIGIN SOURCE ENERGY (OSE) is equally distributed to all OS Adjacent QI... i.e. facilitates QE Momentum within the System.
Occupancy addressing to distribute ORIGIN SOURCE ENERGY (OSE), as spatially defined minimum/indivisible units of Energy (QE), must be DICTATEd by logic extracted... i.e. INFERRED and/or DERIVED... from Pulse-1-Open Geometry Logic Functions.
In that 2 ADDRESS Geometry Types can not both be defined as the minimum/indivisible unit of Space (QI), and on P-1-O no Intelligence emerged to DICTATE Hypotenuse Spline orientation, P-1-C will return an Undefined Function Error... i.e. EMISSION FAILS!!!
In that a single point pulsed emission of minimum/indivisible units of Energy (QE), as spatially defined "bodies", is not supported by a TETRAHEDRON quantization of the spatial component of the "System", TETRAHEDRA spline/node code graphs, which as discussed above do NOT facilitate spatially defined entity dynamics, will require a codec to sync with a spline/node Networked Intelligence, which emerges as a consequence of a single point pulsed emission of spatially defined "bodies" of Energy... i.e. eliminates perturbative Networked Intelligence issues currently constraining Information Theory.
- MODIFICATION SEQUENCE:
________________________
The Fig. 3.; 4.; 5.; 6. & 7. modification sequence, demonstrates a means to achieve a unified minimum/indivisible unit of Space (QI), that facilitates AI as required to resolve PULSE-1-CLOSE (P-1-C)... i.e. propagate QE Emission.
REF:
UQS Analysis: D. Oriti Tetrahedron Quantization... http://www.uqsmatrixmechanix.com/TetSingAnalysis1.jpg
ILLUSTR
ATION: 3.
As illustrated, removal of the Hypotenuse Spline from each of the 12 UN-EQUAL SPLINE TETRAHEDRA, resolves 6 EQUAL SPLINE PYRAMIDS, as the Pulse-1-Open uniform volume quantization units, but no AI has emerged to INFER an ADDRESS Truncation Spline Transit Function, to facilitate a subsequent OS pulsed QE increase in the system, and P-2-C will return an Undefined Function Error... i.e. EMISSION FAILS!!!
ILLUSTRATION: 4.
As illustrated, AI for MIRROR Expanded Pair of UN-EQUAL SPLINE TETRAHEDRA does not eliminate the Type1/Type2 ADDRESS (QI) Geometry issues, which are inherent in any UN-EQUAL SPLINE Tetrahedral quantization, nor does it resolve an ADDRESS Truncation Spline Transit Function, and P-2-C will result in an Undefined Function Error... i.e. EMISSION FAILS!!!
ILLUSTRATION: 5.
As illustrated, removal of the Hypotenuse Spline from a MIRROR Expanded Pair of UN-EQUAL SPLINE TETRAHEDRA, resolves a MIRROR Expanded Pair of EQUAL SPLINE PYRAMIDS, but with no AI from which to INFER an ADDRESS Truncation Spline Transit Function, P-2-C will result in an Undefined Function Error... i.e. EMISSION FAILS!!!
ILLUSTRATION: 6.
As illustrated, removal of the 4 PYRAMID BASE EQUAL SPLINES resolves the UQS QUADHEDRON as a uniform volume quantization unit, for an EQUAL SPLINE quantization, to facilitate Emergent 3D Space-Time Intelligence.
REF:
UNITARY UQS QUADHEDRON DIMENSIONED... http://www.uqsmatrixmechanix.com/UQVDerivationBU.jpg
ILLUSTRA
TION: 7.
As illustrated, on UQS Pulse-1-Open (P-1-O), 6 UQS uniform volume EQUAL SPLINE HALF QUADHEDRA... i.e. Open Base PYRAMIDS... facilitate 24 OS Adjacent, Equal Geometry, Open PLANAR ADDRESSes (QI)... i.e. each of 6 open EMISSION AXIS SECTORS X 4 PLANAR ADDRESSes = 24 PLANAR ADDRESSes (QI)... as emergent AI for an unbiased initial QE Distribution.
As illustrated, on UQS Pulse-2-Open (P-2-O), MIRROR Expansion of each P-1-O UQS HALF QUADHEDRON, facilitates 6 UQS uniform volume EQUAL SPLINE QUADHEDRA to encapsulate an 8 SPLINE OS, within 48 Equal Geometry ADDRESSes (QI).
All subsequent NODEs are OS equivalent 8 SPLINE Intersection Geomtry, and inherit OS NODE (EN0) Logic Functions.
All subsequent ADDRESSes (QI) are of OS Adjacent ADDRESS equivalent Geometry.
The open/close cycle... i.e. Q-Tick... of pulsed QE emission, facilitates a "non-spatiotemporal"... i.e. Spaceless-Timeless... Intermittent Calculation State (ICS), in which QE/QI distribution is Spontaneously Harmoniously Resolved throughout the entire field, on each Q-Tick.
Although emission and distribution mechanix for occupants of minimum/indivisible units of Space (QI), is beyond the scope of your presentation, if one anticipates the dynamics of spatially defined minimum/indivisible units of Potential for Motion... e.g. QE... to be dictated by the spatial quantization, there are two emergent "fundamental quantum entity" Types:
- the minimum/indivisible Quantum of Space (QI)
- the minimum/indivisible Quantum of Energy (QE)
As a comment to the FQXi blog post of D. ORITI "QUANTUM MANY BODY SYSTEM", the above evaluation of the TETRAHEDRON as a minimum/indivisible Quantum of Space (QI), is constrained in length, and has thus been archived as a UQS Lab's on-line open source resource, which includes a QUANTUM ENERGY (QE) ELEMENT addendum that attempts to visually establish common terminologies for the QE Dynamics/Mechanixof an emergent Space-Time Energy Intelligence.
REF:
UQS RE: D. ORITI TETRAHEDRON "QUANTUM MANY BODY SYSTEM"... http://www.uqsmatrixmechanix.com/UQSDOriti.php
- SUMMARY
_________
Extracted from FQXi Blog Abstract:
"Several approaches to quantum gravity suggest that spacetime and geometry are emergent from non-spatiotemporal quantum structures. In some of them, the fundamental quantum entities admit (in some approximation) a simplicial geometric description and can be mapped to generalized tensor networks." ~ Daniele Oriti
"Fundamental quantum entities" of Type: QI "do not float around".
QI, as the 2D PLANAR elements of the spatial quantization are, upon emergence, fixed ADDRESSable minimum/indivisible spatial containment for compressable "fundamental quantum entities" of Type: QE, and they DICTATE the choreography options available to the Intermittent Calculation State (ICS) to Spontaneously, Harmoniously Resolve (SHR) distribution of "fundamental quantum entities" of Type: QE, on each Q-Tick.
It is implicit in an OS Pulsed QE Emission, that "fundamental quantum entities" of Type: QE do "float around"... i.e. QE exhibit dynamics ... and each open/close Pulse Cycle... i.e. a Q-Tick... facilitates a "non-spatiotemporal" Intermittent Calculation State (ICS), to Spontaneously, Harmoniously Resolve (SHR) the "float around"... i.e. QE Mechanix.
The SPLINE and NODE components that configure the minimum/indivisible spatial Quanta (QI), as fixed ADDRESSable 2D spatial occupancy to facilitate the dynamics of minimum/indivisible Energy Quanta (QE), define the TENSOR NETWORK.... i.e. the Cosmic Intelligence.
Any coordinate system... i.e. logic map... one imposes on a Spaceless Feeling of Timeless Now, defines one's Space-Time Energy Reality, but to facilitate an unbroken kinematic visual-logic/geometry chain from an observed Energy Event (PHE), to the Origin Source (OS), a single source Energy Emission Geometry must be solved.
Without resolve of a Volumetric Geometry Singularity that encapsulates the Logic Singularity Node... i.e. a single point Energy Source ... all mathematical formulizatiions of observed Space-Time Energy mechanix, are peturbatively derived... i.e. an inability to resolve a Single Source Energy Emission Geometry constitutes a Logic Impasse.
In that all TETRAHEDRON based Network code graphs are inherently pertrabative. to facilitate the Q-Mechanix of a sustainable Single Source Energy (QE) Emission Geometry, Information Theorist will need to adopt a volume unit of quantization that resolves the Logic Impasse.
"The only question left is whether there are any true limits to how well information can be forged." ~ Quantamagazine contributing writer: Modechai Rorvig.
REF:
Defeat Randomness To Create Ideal Code... https://www.quantamagazine.org/researchers-defeat-randomness
-to-create-ideal-code-20211124
In that the UQS Q-mechanix to facilitate an individual EN(n) query of the Cosmic Networked Intelligence, is initialized by P-1-C FN(EN EMISSION RESOLVES), the "I Am", as the EN(n) of the human QE/QI choreographed Logic Circuit, inherits QE/QI resolve mechanism FN(EN EMISSION RESOLVES) functionality, and resolve of any Logic Impasse can be Inferred... i.e. there are NO "true limits to how well information can be forged."
REF:
ADDENDUM: UQS QUANTUM ENERGY (QE) ELEMENT... http://www.uqsmatrixmechanix.com/UQSDOriti.php.
Thank you Daniele, for sharing your research and for endorsing the necessity to establish a base unit volume to quantize a Space-Time
field from which Cosmic Intelligence can emerge, as a TENSOR NETWORK.
2022/03/01
S. Lingo
UQS Author/Logician
www.uqsmatrixmechanix.com
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