Robert Shuler - Research Interests, Publications, Papers
INERTIA & GRAVITY
ECONOMICS, ENGINEERING & SAFETY
- Separating Ricci constraints in static gravity derivations (pre-review, working draft for comment) - Competing formulations of gravity have been useful in the past for driving verification efforts, and more narrowly differentiated formulations are needed to motivate and challenge the increasing precision and capability possible in future efforts. Standard tensor derivations do not really admit deviation other than coupled fields, and attempts to produce static gravity directly and are often dubious. This paper proposes that constraints in the Schwarzschild solution resulting from the simultaneous equations produced by the vanishing Ricci tensor (vacuum equation) should have counterparts in an alternate approach. Previous approaches are examined in regard to whether they address these constraints and a method of Thirring is found that inspires a postulate by which energy conservation enforces the first Ricci constraint, and generates a family of metrics which differ slightly in field strength, but satisfy all current non-cosmological tests. A second postulate can be selected by analogy to the Newtonian force law, or Gauss' law, and produces exactly the Schwarzschild metric (pedagogically valuable), or chosen to follow a potential law, or indeed any law, allowing flexibility for theorists and resulting in the desired variations in strong fields to motivate advanced tests.
- Geometric insights from computational light bending (currently in submission) - to examine or try out the numerical simulation, click here - This paper numerically investigates the role of spherical symmetry in light bending, and finds that it may be related to the spatial curvature bending component. A modified Huygens Principle is used which works with non-isotropic coordinate velocity to generate quantitative data on light paths in a global Euclidean coordinate space. The concept is shown to track analytical General Relativity to 2nd order accuracy in strong fields. This leads to two new illustrations, one for near vertical and one for near horizontal light rays, and analytical demonstration of the conclusions. These in turn lead to the possibility of new ways of comparing and discussing curvature, field uniformity and equivalence.
- Common pedagogical issues with de Broglie waves: moving double slits, composite mass and clock synchronization (Shuler, R.L., "Common Pedagogical Issues with De Broglie Waves: Moving Double Slits, Composite Mass, and Clock Synchronization," Physics Research International, Vol. 2015 (2015). - direct link to PDF) - This pedagogical paper suggests simple techniques for reference frame independent analysis of a moving double slit electron interference experiment, and a beat frequency heuristic for understanding de Broglie waves of composite particles such as neutrons and atoms. Points of similarity and difference between de Broglie and Schrödinger waves are explained. The necessity of momentum, energy and wavelength changes in the electrons in order for them to be vertically displaced in their own reference frame are shown to be required to make the double slit analysis work. A relativistic kinematic analysis of de Broglie frequency is provided showing how the higher de Broglie frequency of moving particles is consistent with Special Relativity and time dilation, and that it demonstrates a natural system which obeys Einstein's clock synchronization convention of simultaneity and no other. Students will be better prepared to identify practical approaches to solving problems, as well as to think about fundamental questions.
(click image to view animation of de Broglie's own "mechanical analogy")
- Paths to static spacetime curvature - (interesting figures, discussion of why light bending not possible to describe in equivalence, space-time funnel diagram with annotations, but the reader is warned that none of the simple "derivations" of curvature are yet convincing enough - but the other stuff is cool) - The fundamental effects of gravity such as equivalence are discussed as early as middle school, and many effects of gravity can be explained using a metric. But understanding the reasons for curvature still requires an upper level course in General Relativity. We ask if there is any approach to curvature less than full tensor analysis and the field equation, and explore two methods that have not been previously analyzed. A co-falling light ray constraint on a drop experiment in an accelerated frame and falling synchronized clocks both seem able to avoid criticisms of earlier methods. A final step involves choosing of a law of gravity, such as how acceleration varies with position. A 1/r potential and 1/r^2 force (acceleration) law cannot both be satisfied.
- Hamiltonian analysis using time dilation (needs updating) - Frequency and therefore time dilation is a function of potential in a gravitational field, as in for example "gravitational redshift." We consider using time dilation as a proxy for potential in a Hamiltonian. Thought experiments illustrate that redshift, or time dilation differences, account for the total energy potential difference between locations in a gravitating system. Therefore one might expect that a Hamiltonian so formulated gives the full and correct equations of motion within such a system, and we find that it does.
- Leading Clocks Lag Phys. Ed., 51, 2 (2016) http://dx.doi.org/10.1088/0031-9120/51/2/025005 - A new memory aid for teaching the relativity of simultaneity is given that puts it on a par with "time dilation" and "length contraction" for quick and easy problem visualization. Guidelines for applicability of all three memory aids are given. As an example application the de Broglie wavelength is derived and dependence of de Broglie frequency on velocity explained in terms of Einstein synchronized reference frame measurements of a single clock (2 on 1) vs. measurements of an Einstein reference frame by an observer with a single clock (1 on 2).
- Is There a Gravitational Effect Which Is Analogous to Electrodynamic Induction? - by A. Einstein, 1912 - This important paper was not available in English and unknown in the English speaking world until the pubication of the posthumous complications of Einstein's papers in the 1970s. Thus it was overlooked by Sciama, Dicke and other important inertia researchers. It was until now still not available on the web and thus difficult to cite by modern standards, so I hhttp://dx.doi.org/10.4236/jmp.2014.512108ave re-keyed it and corrected some editorial problems. Einstein derives the same inertia as a summation of potential formula that other researchers have found, in a particularly concise manner without resorting to radiation or other controversial techniques. He uses an argument that is applicable to any theory of gravity which contains time dilation and other characteristics of modern gravity theories, thus this inertia is implicitly part of General Relativity and any of the various other metrical theories, without the need for specific formulation as for example in Brans-Dicke.
- The Twins-Clock Paradox History and Perspectives - (published in Journal of Modern Physics, very popular with many downloads, July 2014 DOI: 10.4236/jmp.2014.512108) - The twins or clock paradox has been a subject of lively discussion and occasional disagreement among both relativists and the public for over 100 years, and continues to attract physicists who write papers giving new analyses or defending old ones, even though many physicists now consider the matter only of educational interest. This paper investigates the number of papers, which is increasing, and trends in explanations, some of which are now targeted at professional physicists and other of which are targeted at optical or radar visualization rather than problem solving. Observations of students indicate the latest techniques help but only somewhat. An analysis is made of 21 previous treatments appearing in the education related American Journal of Physics, Einstein's discussions and several other pedagogical papers. A new memory aid for simultaneity transformation is given that puts it on a par with "time dilation" and "length contraction" for quick and easy problem visualization. The point of view of a trailing twin is introduced to show how simultaneity changes account for missing time in the turnaround. Length contraction is treated on equal footing with time dilation, and Swann's insight into clocks is extended to lengths. Treatments using the conventionality of simultaneity are seen as equivalent to choice of co-moving frames. Responses to difficult questions are suggested which avoid being dismissive, and engage students' critical thinking.
- Inertia First - (powerpoint with many illustrations and animations) - Inertia and gravity should be the same thing (equivalence principle). Inertia is the stronger of the two (you can easily throw a ball in the air, but it takes the entire mass of the earth to bring it down - solar escape velocity is only 25 miles per second, but it takes 1000 times that to get to nearest star in 30 years). So the idea is to find a quantum explanation of inertia first, then derive gravitational effects from that.
- A Fresh Spin on Newton's Bucket - (Published in Physics Education, short illustrated article suitable for high school or first semester physics students) An introduction to physics seems incomplete without the thought experiment known as Newton's Bucket. Doing so also introduces the famous historical critique of Newton by Mach, which inspired Einstein and spawned modern theories of gravity and the cosmos. The critique often fascinates and inspires students. But Mach's concept is not expressed in a simple algebraic way, which the students can analyze as easily as Newton's concepts. Recently that gap has been filled, and gives results which may have surprised Mach, and certainly will teach students how to think clearly about relative motion.
- Developments in Classical and Quantum Inertia - (historical & contemporary review article) Because gravity and inertia seem to have a common cause, many notable physicists of the last century attempted to derive inertia from gravity, but no consensus formed. I summarize old controversies and developments which shed fresh light on them, as well as a newly available quantum formulation in which inertia is the primary effect, and relativistic gravity is a consequence. This is the paper that led me to coin the slogan Inertia First.
- On dynamics in a quasi-measurement field (Journal of Modern Physics Jan 2013 Vol. 4 No. 1) (needs updating for curved space-time) - A general theory of inertia tends to be circular because momentum and therefore inertia are taken as assumptions in quantum field theories. In this paper we explore instead using position uncertainty to infer inertia with mediation by quasi-measurement interactions. This method avoids attachment to the reference frame of the source masses and is thus completely relativistic, overcoming a conflict between historical theories of inertia and relativity. We investigate what laws of motion result, and whether natural explanations for equivalence and dark energy emerge.
- Isotropy, equivalence and the laws of inertia - (Physics Essays Dec 2011 Vol. 24 No. 4) (Note: Discussions of light bending and full curvature metrics are superceded by the author's newer papers such as the one on coordinate potential,see above. ) Using equivalence to investigate gravitational time dilation, as Einstein once did, the laws of inertia are derived and it is shown that inertia is isotropic, in agreement with experiments based on the Mossbauer effect. Possible anisotropy of inertia should be removed as an objection to Mach's Principle. Additionally, a special non-physical condition on acceleration is derived which makes equivalence compatible with weak field effects (precession).
Tutorials & Working Papers:
- Wealth inhomogeneity applied to crash rate theory (to be published open access in Elsevier's new multi-discipline journal Heliyon) - A crash rate theory based on corporate economic utility maximization is applied to individual behavior in U.S. and German motorway death rates, by using wealth inhomogeneity data in ten-percentile bins to account for variations of utility maximization in the population. Germany and the U.S. have similar median wealth figures, a well-known indicator of accident risk, but different motorway death rates. It is found that inhomogeneity in roughly the 10th to 30th percentile, not revealed by popular measures such as the Gini index which focus on differences at the higher percentiles, provides a satisfactory explanation of the data. The inhomogeneity analysis reduces data disparity from a factor of 2.88 to 1.75 as compared with median wealth assumed homogeneity, and further to 1.09 with average wealth assumed homogeneity. The first reduction from 2.88 to 1.75 is attributable to inequality at lower percentiles and suggests it may be as important in indicating socioeconomic risk as extremes in the upper percentile ranges, and that therefore the U.S. socioeconomic risk may be higher than generally realized.
- Economic Optimization of Innovation & Risk - (Crash Rate Theory - This is a set of PowerPoint slides with illustrations and examples - corrected Feb 18, 2015 - for TECHNICAL PAPER see next item below) The actions you take may have unexpected consequences. Do you know how to predict them?
Safety may go down instead of up, for example, when you take sensible precautions. The innovation and risk equation tells how to calculate this, but the original paper was dry with no figures and few examples. Finally an explanation of the factors influencing innovation and risk with examples, applications, illustrations, and a project excerise.
Build a 10 passenger transport for an orbital hotel - respond to a crisis of confidence and fend off both project failure and takeover by a hedge fund.
- Optimization of Innovation & Calamity - (paper version of Crash Rate Theory, more details in the derivation, but fewer figures and examples) - The aim of this paper is to develop a model to quantify both economic and technical processes (e.g. engineering and policy formation), in regards to safety (or crash rate) and features (innovation). Empirically a relationship may be construed from findings of risk compensation or even risk homeostasis, but these are psychological factors and applicable to individuals, not corporations. Our method is to rigorously derive a microeconomic model showing that risk changes can be explained by utility optimizing providers (businesses, governments, engineers) and consumers (users, citizens). The model terms are development, manufacturing & testing costs, utility to consumers (innovation), crash rate and defect ratio. Results show some unexpected results that may guide corporate or government planning.
- Mechanism for extended inversion in the equity premium - (working paper) This paper focuses on factors other than risk preferences in the equity premium. In fact a risk model cannot explain long periods of inversion in the premium. We use a simple but little discussed analysis of re-equalization to show that equity prices do not actually produce equalization of returns, and so the burden is on bond prices, i.e. debt interest rates. But the Federal Reserve and central bankers in other countries heavily manipulate interest rates, and limit arbitrage transactions of the sort that rational investors would require to equalize whole-market returns. A sufficiently large arbitrage if allowed would be far more risky than just owning equities. The equity premium question may resolve to a question of what premium can be maintained without intolerable inflation and identify components of the EP which are non-inflationary. We also conclude some of the EP has declined due to equalization by competition, and provide quantitative analysis of all claims.
- Perpetual Portfolio - simulation / calculator script . . . use to determine the cost of company lifetimes as described in the equity premium paper above. For example, run with lifetime of 61 years and 18 years and you will see about a 4% difference in returns.
- Non-Linear Market Theory - (working paper) Investments are worth more in a portfolio. Similar to portfolio theory but a simpler argument, and more far reaching. The present value of long term growth is derived, and it is shown that very long growth is like a financial black hole, sucking up all resources, distorting the operation of the economy and society.
Radiation Effects & Other Published Papers, Lead Author or principle innovator:
- Radiation Hardened By Design Standard Cell Library Techniques (tutorial - available by special arrangement only)
- Challenges in SET Measurement - (working paper)
- R. Shuler, B. Bhuva, B. Narasimham, Pulse Distortion in SET Measurements from Layout and Adjacent Signals
Note: IEEE may sometimes change links. If these links are broken, try searching on the title. If you do not have access to IEEE papers, request it from me on Academia.edu or ResearchGate.
- Porting & Scaling Strategies for Nanoscale CMOS RHBD - (citation: Shuler, R.L., "Porting and Scaling Strategies for Nanoscale CMOS RHBD," Circuits and Systems I: Regular Papers, IEEE Transactions on, 62, 12, pp. 2856 - 2863 (2015). - also available as presentation charts) Abstract: Techniques are described for minimizing the number of cells in a digital logic library, scaling and porting the cells to process nodes that do not nominally support scaling, and increasing the separation of critical node pairs without unduly disrupting the design process. A new compact modular 10T self-voting latch reduces circuitry by over half, allowing modular redundancy to approach theoretical efficiency limits. The result is allows investment in low volume designs, such as but not limited to radiation hardened by design (RHBD) applications for mission critical components, to provide returns over decades-long time periods.
- Real-Time Configurable Phase-Coherent Pipelines, with Dave Rutishauser, chapter 8, Embedded Systems, ed. Krzystof Iniewski, Wiley & Sons, Nov 2012
- Wide Range SET Pulse Measurement, with Li Chen, SEE Symposium, 2012
- Rapid Implementation of Floating-point Computations Using Phase-Coherent Dynamically Configurable Pipelines, presented at ERSA, July 2011
- SEU/SET Tolerant Phase Locked Loops in Radiation Effects in Semiconductors, ed. Krzysztof Iniewski, pp 305-324, CRC Press, Boca Raton FL, 2011
- SEE Tolerant Self-Calibrating Simple Fractional-N PLL, SEE Symposium, 2010
- Comparison of Dual-Rail and TMR Logic Cost Effectiveness and Suitability for FPGAs with Reconfigurable SEU Tolerance, NSREC 2008, IEEE Transactions on Nuclear Science Feb. 2009
- Fault Tolerant FPGA Reconfigurable Hardware Architecture, MAPLD 2008 (presentation)
- The Effectiveness of TAG or Guard-Gates in SET Suppression Using Delay and Dual-Rail Configurations at 0.35 um, NSREC 2006, IEEE Transactions on Nuclear Science Deb. 2006
- SEU Performance of TAG Based Flip-Flops, NSREC 2005, IEEE Transactions on Nuclear Science Dec. 2005
- Improved Discrete Approximation of Laplacian of Gaussian, NASA Tech Briefs, March 2004
- Switched RC Multi-pole Filter, 8th NASA Symposium on VLSI Design, 1999
- Single-Chip Instrumentation Module for Radiation Environment, 7th NASA Symposium on VLSI Design, 1998
- Efficient Real-Time Garbage Collection for LISP, First Annual Workshop on Robotics and Expert Systems, NASA/JSC, 1985
- Gadlage, et. al., Temperature Dependence of Digital Single-Event Transients in Bulk and Fully-Depleted SOI Technologies, NSREC 2009
- Narasimham, Gambles, et. al., Quantifying the Effect of Guard Rings and Guard Drains in Mitigating Charge Collection and Charge Spread, NSREC 2008, IEEE TNS Dec. 2008
- Narasimham, et. al., Quantifying the Reduction in Collected Charge and Soft Errors in the Presence of Guard Rings, IEEE Trans. on Device and Materials Reliability, March 2008
- Narasimham, et. al., Quantifying the Effectiveness of Guard Bands in Reducing the Collected Charge Leading to Soft Errors, Reliability physics symposium, 2007. proceedings. 45th annual. IEEE
- Balasubramanian, et. al., A Built-In Self-Test (BIST) Technique for Single-Event Testing in Digital Circuits, NSREC 2008, IEEE TNS Dec. 2008
- Abbott, et. al., Avionics for a Small Satellite, AIP Space Technology and Applications International Forum - 2001
- Ellenberger, et. al., Automatic Generation of Real-Time Ada Simulations for Space Station Freedom, Society for Computer Simulation, Nov. 1993
- Methods and circuitry for reconfigurable SEU/SET tolerance, 7,859,292 B1, Dec 2010
- Auto-routable, configurable, daisy chainable data acquisition system, 6,943,621 Sep. 2005
- Practical active capacitor filter, 6,943,619 Sep. 2005
- Low offset rail-to-rail operational amplifier, 20060097791 A1, with Scott Askew, published May 2006, I do not remember the deal with this, whether no claims were allowed or it was too expensive, but it is cited by several subquent patents as prior art
- Method for evaluating and recommending digital image print size with ordering and overlapped file upload, 20050162670 A1, published Jul 2005 with claim allowed, but too expensive to file - cited in several subquent patents as prior art
- Method and apparatus for reducing the vulnerability of latches to single event upsets, 6,492,857 Dec 2002 (TAG / Guard Gate patent)
- Method and apparatus for reducing the vulnerability of latches to single event upsets, 6,377,097 April 2002 (compact delay patent)
- Real-time garbage collection for list processing using restructured cells for increased reference counter size, 4,912,629 March 1990
- Inertia and gravity as a result of quasi-measurement fields (position-momentum quantum fields, instead of the usual energy-time fields), and associated implications for dark energy.
- Limits on superposition and a resolution of the "measurement problem" in quantum mechanics based on the uncertainty principle.
- Sociology of highly reliable systems: crash rate theorem holds that malfunction costs are in equilibrium with utility. Not only does lowering malfunction costs result in more malfunctions, but perversely, improving reliability increases utility, and therefore also malfunction (accident) costs! Making a system safer may mean more people are killed by it in the long run.
- Economics and investing: non-linear market theory examines the effect of non-independence of returns on diversification and risk,and the long term outcome and social implications of growth vs. dividend strategies.
- Interpretation of folktales and myth: particularly the origin of family and religion, the marriage of Venus to Vulcan, and the true role of Venus in the legend of Cupid and Psyche.