Numerical Program for Computing $Φ^3$ Amplitudes
A computing program in Matlab is given that computes amplitudes in scalar $ϕ^3$ theory. The program is partitioned into several parts and a simple guide is given for its use.
physics.gen-ph↗
arXiv subjects
Gordon Chalmers
Publications and source records attributed to Gordon Chalmers.
Light Computing
A configuration of light pulses is generated, together with emitters and receptors, that allows computing. The computing is extraordinarily high in number of flops per second, exceeding the capability of a quantum computer for a given size and coherence region. The emitters and receptors are based on the quantum diode, which can emit and detect individual photons with high accuracy.
physics.gen-ph↗
Modification to Special Relativity
The speed of light is usually taken as one of the fundamental constants. String, and field, theories appear to require the altercation of this constant into a functional form $E(m,c)$ which is not $E=mc^2$. The analysis requires the re-interpretation of the renormalization group flow equations. There are quantum corrections to the mass-energy relation generically for particles of any sort. A breakdown of special relativity follows. Cosmological data might be one of the best testbeds to analyze the computable functional forms of the mass energy relations.
physics.gen-ph↗
Computational Enhancement to Programmers
Computing according to laymens procedures is changed to contain a paradigm of inoptimality in the high level and assembled code. The code is changed to maximize the flow of information contained in the electrons so that they function more as a group and without unwanted coherence effects. Exponential effects are suspected in the improved operation of the programming. From a laymens point of view the maladjustment of substandard code could result in a factor of a thousand in such programs as Microsoft Works which can be speed intensive.
physics.gen-ph↗
String Scale Cosmological Constant
The cosmological constant is an unexplained until now phenomena of nature that requires an explanation through string effects. The apparent discrepancy between theory and experiment is enourmous and has already been explained several times by the author including mechanisms. In this work the string theory theory of abolished string modes is documented and given perturbatively to all loop orders. The holographic underpinning is also exposed. The matching with the data of the LIGO and D0 experiments is also explained to the first three or more moments in the cosmological expansion.
physics.gen-ph↗
Supersymmetry and B_s, DO, and Aleph i
Current results from the D0 exp indicate the presence of an oscillation not explained by the currently accepted theory. An explanation is offered based on a combination of low-energy 'sring${}^{1/n}$' and 'particle' dynamics. The dynamics are described by extremely accurate nuclear mass data (unpublished 2006 and \cite{Chalmers1}) in accord with substringy dynamics (in progress, primary). An event is analyzed with emphasis on particle Iding, their dynamics and interactions, with implications for/by graviton(ino) with low-energy phenomenology. Analysis is provided towards enhancing the experimental apparatus, in computation and hardware, and should be numerically simulated for further safety before implementation.
physics.gen-ph↗
Integrability in String Theories
The solution term by term to the scattering of all consistent string theories is given. The moduli space of M-theory is derived and connects the various string theories. The solutions contain both the perturbative and non-perturbative sectors of the string. Modular forms found by differential equations on subspaces of the M-theory moduli space and transfinite algebras play an essential role in deriving the coefficients. Various results and identities in algebra are found from the explicit solution. Archetypes and models are presented in accord with phenomenology and cosmology.
physics.gen-ph↗
Possible Solution to the Poincare Conjecture
The Poincare conjecture is analyzed in the context of Calabi-Yau $n$-folds. A simple treatment is given by embedding the three-manifolds into these CY manifolds, and then taking the orbifold limit. The higher-dimensional proofs are also available in this context.
physics.gen-ph↗
Simplifications of the Tensors in Quantum Scattering, Part I
In this comment it is pointed out that the perturbative dynamics of general massive field theories can be mapped to delimited sums of determined integral functions. The limits on the sums are the remaining obstacle to finding the general $g$-loop, or derivative expanded, form of the scattering.
physics.gen-ph↗
N=4 S-duality Compliant Scattering and within the AdS/CFT Duality
It is pointed out the ${\cal N}=4$ supersymmetric gauge theory used in the anti-de Sitter holographic correspondence is required to be modified. The SL(2,Z) completion of the theory is required to map the correlators to string theory amplitudes. This is overlooked in the literature, and requires the (p,q) dyons to be inserted into the gauge theory calculations. In addition, the full four-point and higher-point scattering amplitudes in the spontaneously broken gauge theory are conjectured, in a similar manner as the amplitudes in IIB superstring amplitudes are obtained.
physics.gen-ph↗
Masses and Interactions in Quantum Chromodynamics
Correlations of composites corresponding to baryons and mesons are composed within the derivative expansion. The expansion in energy scales permits a quantitative, algebraic description at various energy scales in QCD. The masses in QCD are derived utilizing a proposed line interaction, with explicit checks of the masses up to the baryonic decuplet.
physics.gen-ph↗
Computational Improvements to Matrix Operations
An alternative to the matrix inverse procedure is presented. Given a bit register which is arbitrarily large, the matrix inverse to an arbitrarily large matrix can be peformed in ${\cal O}(N^2)$ operations, and to matrix multiplication on a vector in ${\cal O}(N)$. This is in contrast to the usual ${\cal O}(N^3)$ and ${\cal O}(N^2)$. A finite size bit register can lead to speeds up of an order of magnitude in large matrices such as $500\times 500$. The FFT can be improved from ${\cal O}(N\ln N)$ to ${\cal O}(N)$ steps, or even fewer steps in a modified butterfly configuration.
physics.gen-ph↗
Data Compression with Prime Numbers
A compression algorithm is presented that uses the set of prime numbers. Sequences of numbers are correlated with the prime numbers, and labeled with the integers. The algorithm can be iterated on data sets, generating factors of doubles on the compression.
physics.gen-ph↗
Program for IIB Derivative Corrections
A Matlab program is presented that computes derivative corrections in the S-dual invariant formulation for IIB graviton scattering to any order in perturbation theory. The coefficients of the four-point function are produced, pertaining to the non-logarithmic terms. The program can be modified to find coefficients of the higher-point functions. Instantons have not explicitly been included.
physics.gen-ph↗
Realistic Cosmological Constant
Scenarios of supersymmetry breaking at various scales from TeV to GUT to the string are generated. A previous analysis generated the value of the experimentally measured cosmological constant from supersymmetry breaking at the TeV scale. Via a reorganization of the perturbative series, values of the cosmological constant are generically reconcilable with supersymmetry breaking scenarios having scales from the TeV on up to the string. The scenario with only a single supersymmetry breaking scale occurs at the GUT scale, generically.
physics.gen-ph↗
Symmetry Algebra of IIB Superstring Scattering
The graviton scattering in IIB superstring theory is examined in the context of S-duality and symmetry. There is an algebra that generates all of the terms in the four-point function to any order in derivatives. A map from the algebra to the scattering is given; it suggests the correctness of the full four-point function with the S-duality. The higher point functions are expected to follow a similar pattern.
physics.gen-ph↗
A Novel Data Compression
A novel data compression scheme is presented. The method is very suitable for black and white images, and it can generate a compression factor of eight; in general the bitmap is optimized for an arbitary number of colors and not only for unused information contained in a conventional bitmap with $2^j$ bits per pixel. This compression method can be incorporated with other compression methods; it is suitable for other image types and audio. The potential high compression factor is cost effective for both memory and bandwidth requirements.
physics.gen-ph↗
Fast Factoring of Integers
An algorithm is given to factor an integer with $N$ digits in $\ln^m N$ steps, with $m$ approximately 4 or 5. Textbook quadratic sieve methods are exponentially slower. An improvement with the aid of an a particular function would provide a further exponential speedup.
physics.gen-ph↗