*Some Quantum Mechanical Properties of the Wolfram Model*
Jonathan Gorard
One intuitive interpretation of the evolution of a multiway system for a
non-causal invariant system, and therefore one in which distinct evolution
branches can yield non-isomorphic causal graphs, is that the system is
evolving according to every possible evolution history (i.e. all possible
updating orders), any pair of which may have observationally-distinct
consequences. Such an interpretation brings forth strong connotations of
the path integral formulation of quantum mechanics, in which the overall
trajectory of a quantum system is taken to be described by a sum (or, more
properly, a functional integral) over all possible trajectories, weighted
by their respective amplitudes.
@philipthrift
On Saturday, May 2, 2020 at 5:27:11 AM UTC-5, Philip Thrift wrote:
>
>
> I roughly see how this part (gravitation in the Wolfram Model) works out:
>
>
> from
>
> *Some Relativistic and Gravitational Properties of the Wolfram Model*
> Jonathan Gorard
> 1University of Cambridge
> 2Wolfram Research, Inc
>
>
> The Wolfram Model can be thought of as being an abstract generalization of
> the “Causal Dynamical Triangulation” approach to quantum gravity developed
> by Loll, Ambjørn, and Jurkiewicz.
>
> The first essential step in the derivation of special relativity for
> causal-invariant Wolfram Model systems is to make precise the formal
> correspondence between directed edges connecting updating events in a
> discrete causal graph, and timelike-separation of events in a continuous
> Minkowski space (or, more generally, in a Lorentzian manifold).
>
> The present article has demonstrated the Wolfram Model to be a novel,
> exciting and potentially highly fruitful discrete model for spacetime
> geometry, exhibiting discrete analogs of many (and possibly all) of the
> salient mathematical features of Lorentzian and pseudo-Riemannian manifolds
> in limiting cases. There exist a variety of open problems arising from this
> work, ranging from the possibility of computing higher-order corrections to
> the discrete Einstein field equations, to determining the
> computability-theoretic and complexity-theoretic properties that
> distinguish inertial and non-inertial reference frames, to developing a
> theory of general relativity that holds in manifolds with variable
> spacetime dimensions. A few of these problems are discussed in greater
> depth in our accompanying publication on quantum mechanics, which makes
> significant use of both the special relativistic and general relativistic
> formalisms that we develop inthis paper (especially the relationship
> between confluence, causal invariance and Lorentz covariance, and the
> derivation of the discrete Einstein field equations), and we intend to
> investigate several more of these questions in the course of future
> publications. The present work, however, has at least revealed the Wolfram
> Model to be a plausible fundamental model for classical relativistic and
> gravitational physics, and we eagerly await the implications that this will
> entail.
>
>
>
> @philipthrift
>
> On Wednesday, April 29, 2020 at 2:43:25 PM UTC-5, Philip Thrift wrote:
>>
>>
>>
>> You will be introduced to the true formulation of the foundations of
>> physics - which will lead to its unification - leaving behind the deluding
>> morass of the old mathematical-physics foundations you were brainwashed
>> with as a student.
>>
>> What else?
>>
>> @philipthrift
>>
>> On Wednesday, April 29, 2020 at 2:14:21 PM UTC-5, ronaldheld wrote:
>>>
>>> What will I be getting from reading these long papers?
>>> Ronald
>>>
>>>
>>> On Wednesday, April 29, 2020 at 4:40:56 AM UTC-4, Philip Thrift wrote:
>>>>
>>>>
>>>> The "hypergraph" stuff from Stephen Wolfram in recent news on his "new
>>>> foundation" of physics has a name:
>>>> *The Wolfram Model.*
>>>>
>>>>
>>>>
>>>> *Some Relativistic and Gravitational Properties of the Wolfram*
>>>> *Model*
>>>> Jonathan Gorard
>>>>
>>>> https://www.wolframcloud.com/obj/wolframphysics/Documents/some-quantum-mechanical-properties-of-the-wolfram-model.pdf
>>>>
>>>> *Some Quantum Mechanical Properties of the Wolfram Model*
>>>> *Jonathan Gorard*
>>>>
>>>> https://www.wolframcloud.com/obj/wolframphysics/Documents/some-relativistic-and-gravitational-properties-of-the-wolfram-model.pdf
>>>>
>>>>
>>>> @philipthrift
>>>>
>>>
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