Did a search and couldnt find any specific threads realting to Quantum Space Theory so I thought I'd post here with a view to discussing some of the
ideas as I repeatedly find myself referencing it in regards to most of my favourite discussion topics across Space, Universe, Gravity, Holographic
Universe, Quantum effects etc here on ATS.
I recognise that Thad Roberts version is bascially a congolmeration of several peoples ideas on Quantisation of Space however I provide it as a link
as he originally sparked my interest in this area with a very easy to understand and intuitive breakdown of why quantised space works using the models
we've already observed:
In summary ( again taken from Thad Robert's Website : einsteinsintuition.com...
As a specific form of Superfluid Vacuum theory (SVT), quantum space theory (qst) is an approach within theoretical physics and quantum
mechanics that stands as a candidate for the theory of quantum gravity. The theory assumes a superfluid vacuum whose geometric structure can
be proximately described as an acoustic metric and ultimately described as a hierarchal fractal. Specifically it assumes that the
superfluid vacuum is constructed from quanta that are in turn constructed (via self-similarity and scale invariance) from subquanta, and so
on ad infinitum.
This geometric picture realigns our expectations of Nature. In as much as those expectations reproduce the mysteries of physics, they
give us intuitive access to (and geometric explanations of) their origins. For example, the assumption that the vacuum is a superfluid
(or a BEC) automatically enables us to derive Schrödinger’s non-linear wave equation, also known as the Gross-Pitaevskii equation, from
first principles. This offers us unprecedented ontological access to what the wave equation means and why it is written into Nature.
Furthermore, by treating the vacuum as an acoustic metric, or a BEC, we automatically end up with an analogue for general relativity’s
curved spacetime within regimes of low momenta. This picture also dissolves the mystery of mass generation, the question of how the
Higgs boson gets its mass, because it portrays mass generation similar to the gap generation mechanism in superconductors or
superfluids. In other words, mass become a consequence of symmetry breaking quantum vortices forming in the vacuum condensate.
The axioms of qst are:
The hierarchical structure of the superfluid vacuum (or BEC vacuum) mimics a perfect fractal: the familiar medium of x, y, z space is
composed of a large number of “space atoms” called quanta that interactively mix about; those quanta are composed of a large number of
sub-quanta and so on, ad infinitum. This claim of vacuum superfluidity constrains the possible states of the vacuum in accordance with
energy conservation, de Broglie relations, and linearity. More generally it constrains the vacuum as an acoustic metric.
Time is uniquely defined at each location in space (for each quantum) as the number of whole resonations each quantum undergoes. As a
result, the acoustic metric inherits a Newtonian time parameter and therefore exhibits the important property of stable causality.
Energy (total geometric distortion) is conserved. Energy conservation means that all metric distortions (phonons, quantum
vortices, etc.) are interchangeable from one kind to another, including the transference of metric distortions from one hierarchical
level to another, like the quantum level to the sub-quantum level.
Some of the theorems/consequences that follow from those axioms are:
The wave equation (the non-linear Schrödinger equation, also known as the Gross-Pitaevskii equation) can be derived from first
principles (see here, or here) in its complete form, from the assumption that the vacuum is a BEC whose state can be described by the
wavefunction of the condensate.
Modeling the superfluid vacuum as an acoustic metric reproduces an analogue for general relativity’s curved spacetime within low
Mass generation is a consequence of the symmetry breaking that occurs when quantum vortices form in the vacuum condensate.
The total number of spacetime dimensions in or spatiotemporal map depends on the resolution we desire. (Are we only quantizing the
fabric of x, y, z? Or are we also keeping track of the subquanta that those quanta are composed of? and so on.) For any arbitrary
resolution, the number of dimensions is equal to 3n + n. A second order perspective (n = 2) quantizes the fabric of space one time, and
a third order perspective quantizes the volumes of that fabric, and so on, ad infinitum.
Quantization restricts the range of spacetime curvature: the minimum state of curvature (zero curvature) can be represented by
the ratio of a circle’s circumference to its diameter in flat space (π), and the maximum state of curvature can be represented by
the value of that ratio in maximally curved spacetime, a number that we will represent with the letter ж (“zhe”).
The constants of Nature are derivatives of the geometry of spacetime: they are simple composites of π, ж, and the five Planck
When the quanta of space are maximally packed they do not experience time because they cannot independently or uniquely resonate.
Black holes are collections of quanta that are maximally packed — regions of maximum spatial density.
When two objects occupy regions of different quantum density, the object in the region of greater density will experience less time.
Because the quanta are ultimately composed of subquanta, all propagations through space necessarily transfer some energy from the
quantum level (motion of the quanta) to the subquantum level (to the internal geometric arrangements and motions of the subquanta). Although
this transference of energy is proportionally very small (being approximately equal to the energy multiplied by the ratio of the
subquantum scale to the quantum scale) it is additive. Therefore, it can become significant over large scales — leading to what we now
edit on 29-5-2013 by Jukiodone because: (no reason given)